1538408763.929 * [misc]progress: [Phase 1 of 3] Setting up. 1538408763.929 * * * [misc]progress: [1/2] Preparing points 1538408763.930 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1538408763.931 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1538408763.934 * * * * [misc]points: Setting MPFR precision to 64 1538408763.935 * * * * [misc]points: Setting MPFR precision to 320 1538408763.936 * * * * [misc]points: Setting MPFR precision to 576 1538408763.936 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1538408763.939 * * * * [misc]points: Setting MPFR precision to 320 1538408763.941 * * * * [misc]points: Setting MPFR precision to 576 1538408763.944 * * * * [misc]points: Setting MPFR precision to 832 1538408763.947 * * * * [misc]points: Setting MPFR precision to 1088 1538408763.950 * * * * [misc]points: Setting MPFR precision to 1344 1538408763.954 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1538408763.958 * * * * [misc]points: Setting MPFR precision to 1088 1538408763.964 * * * * [misc]points: Setting MPFR precision to 1344 1538408763.970 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1538408763.974 * * * * [misc]points: Setting MPFR precision to 1088 1538408763.982 * * * * [misc]points: Setting MPFR precision to 1344 1538408763.992 * * * * [misc]points: Computing exacts for 256 points 1538408763.996 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.023 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.056 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.056 * * * * [misc]points: Sampling 216 additional inputs, on iter 1 have 40 / 256 1538408764.057 * * * * [misc]points: Computing exacts on every 13 of 216 points to ramp up precision 1538408764.060 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.061 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.062 * * * * [misc]points: Computing exacts on every 6 of 216 points to ramp up precision 1538408764.064 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.065 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.067 * * * * [misc]points: Computing exacts on every 3 of 216 points to ramp up precision 1538408764.069 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.072 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.075 * * * * [misc]points: Computing exacts for 216 points 1538408764.078 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.099 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.124 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.124 * * * * [misc]points: Sampling 187 additional inputs, on iter 2 have 69 / 256 1538408764.127 * * * * [misc]points: Computing exacts on every 11 of 187 points to ramp up precision 1538408764.130 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.132 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.133 * * * * [misc]points: Computing exacts on every 5 of 187 points to ramp up precision 1538408764.137 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.140 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.143 * * * * [misc]points: Computing exacts on every 2 of 187 points to ramp up precision 1538408764.146 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.152 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.158 * * * * [misc]points: Computing exacts for 187 points 1538408764.161 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.181 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.202 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.202 * * * * [misc]points: Sampling 152 additional inputs, on iter 3 have 104 / 256 1538408764.204 * * * * [misc]points: Computing exacts on every 9 of 152 points to ramp up precision 1538408764.208 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.239 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.240 * * * * [misc]points: Computing exacts on every 4 of 152 points to ramp up precision 1538408764.242 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.244 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.245 * * * * [misc]points: Computing exacts on every 2 of 152 points to ramp up precision 1538408764.247 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.252 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.255 * * * * [misc]points: Computing exacts for 152 points 1538408764.258 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.266 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.275 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.275 * * * * [misc]points: Sampling 123 additional inputs, on iter 4 have 133 / 256 1538408764.276 * * * * [misc]points: Computing exacts on every 7 of 123 points to ramp up precision 1538408764.278 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.279 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.280 * * * * [misc]points: Computing exacts on every 3 of 123 points to ramp up precision 1538408764.282 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.284 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.285 * * * * [misc]points: Computing exacts for 123 points 1538408764.288 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.294 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.302 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.302 * * * * [misc]points: Sampling 104 additional inputs, on iter 5 have 152 / 256 1538408764.302 * * * * [misc]points: Computing exacts on every 6 of 104 points to ramp up precision 1538408764.306 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.308 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.309 * * * * [misc]points: Computing exacts on every 3 of 104 points to ramp up precision 1538408764.313 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.316 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.319 * * * * [misc]points: Computing exacts for 104 points 1538408764.323 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.333 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.345 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.345 * * * * [misc]points: Sampling 84 additional inputs, on iter 6 have 172 / 256 1538408764.346 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision 1538408764.349 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.351 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.352 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision 1538408764.355 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.358 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.361 * * * * [misc]points: Computing exacts for 84 points 1538408764.365 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.398 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.403 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.403 * * * * [misc]points: Sampling 71 additional inputs, on iter 7 have 185 / 256 1538408764.403 * * * * [misc]points: Computing exacts on every 4 of 71 points to ramp up precision 1538408764.407 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.408 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.409 * * * * [misc]points: Computing exacts on every 2 of 71 points to ramp up precision 1538408764.411 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.413 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.414 * * * * [misc]points: Computing exacts for 71 points 1538408764.416 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.421 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.426 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.426 * * * * [misc]points: Sampling 57 additional inputs, on iter 8 have 199 / 256 1538408764.426 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision 1538408764.428 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.429 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.430 * * * * [misc]points: Computing exacts for 57 points 1538408764.433 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.440 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.446 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.446 * * * * [misc]points: Sampling 44 additional inputs, on iter 9 have 212 / 256 1538408764.447 * * * * [misc]points: Computing exacts on every 2 of 44 points to ramp up precision 1538408764.451 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.453 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.455 * * * * [misc]points: Computing exacts for 44 points 1538408764.459 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.464 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.469 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.469 * * * * [misc]points: Sampling 37 additional inputs, on iter 10 have 219 / 256 1538408764.470 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision 1538408764.474 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.476 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.477 * * * * [misc]points: Computing exacts for 37 points 1538408764.481 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.485 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.488 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.489 * * * * [misc]points: Sampling 33 additional inputs, on iter 11 have 223 / 256 1538408764.489 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision 1538408764.493 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.494 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.495 * * * * [misc]points: Computing exacts for 33 points 1538408764.499 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.503 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.507 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.507 * * * * [misc]points: Sampling 28 additional inputs, on iter 12 have 228 / 256 1538408764.508 * * * * [misc]points: Computing exacts for 28 points 1538408764.511 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.515 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.518 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.518 * * * * [misc]points: Sampling 22 additional inputs, on iter 13 have 234 / 256 1538408764.518 * * * * [misc]points: Computing exacts for 22 points 1538408764.522 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.525 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.527 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.527 * * * * [misc]points: Sampling 18 additional inputs, on iter 14 have 238 / 256 1538408764.528 * * * * [misc]points: Computing exacts for 18 points 1538408764.531 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.534 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.536 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.536 * * * * [misc]points: Sampling 15 additional inputs, on iter 15 have 241 / 256 1538408764.536 * * * * [misc]points: Computing exacts for 15 points 1538408764.540 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.542 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.544 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.544 * * * * [misc]points: Sampling 12 additional inputs, on iter 16 have 244 / 256 1538408764.544 * * * * [misc]points: Computing exacts for 12 points 1538408764.575 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.576 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.578 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.578 * * * * [misc]points: Sampling 10 additional inputs, on iter 17 have 246 / 256 1538408764.579 * * * * [misc]points: Computing exacts for 10 points 1538408764.585 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.586 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.588 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.588 * * * * [misc]points: Sampling 7 additional inputs, on iter 18 have 249 / 256 1538408764.588 * * * * [misc]points: Computing exacts for 7 points 1538408764.592 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.593 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.594 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.594 * * * * [misc]points: Sampling 5 additional inputs, on iter 19 have 251 / 256 1538408764.594 * * * * [misc]points: Computing exacts for 5 points 1538408764.598 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.599 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.599 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.599 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 252 / 256 1538408764.600 * * * * [misc]points: Computing exacts for 4 points 1538408764.603 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.604 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.604 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.604 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 252 / 256 1538408764.605 * * * * [misc]points: Computing exacts for 4 points 1538408764.609 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.610 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.611 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.611 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 253 / 256 1538408764.611 * * * * [misc]points: Computing exacts for 4 points 1538408764.616 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.617 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.617 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.617 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 253 / 256 1538408764.618 * * * * [misc]points: Computing exacts for 4 points 1538408764.622 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.623 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.624 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.624 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 254 / 256 1538408764.624 * * * * [misc]points: Computing exacts for 4 points 1538408764.628 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.629 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.629 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.629 * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 254 / 256 1538408764.630 * * * * [misc]points: Computing exacts for 4 points 1538408764.633 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.633 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.634 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.634 * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 255 / 256 1538408764.634 * * * * [misc]points: Computing exacts for 4 points 1538408764.636 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.637 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.637 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.637 * * * * [misc]points: Sampling 4 additional inputs, on iter 27 have 255 / 256 1538408764.637 * * * * [misc]points: Computing exacts for 4 points 1538408764.640 * * * * [misc]points: Setting MPFR precision to 1088 1538408764.640 * * * * [misc]points: Setting MPFR precision to 1344 1538408764.640 * * * * [misc]points: Filtering points with unrepresentable outputs 1538408764.640 * * * * [exit]points: Sampled 256 points with exact outputs 1538408764.641 * * * [misc]progress: [2/2] Setting up program. 1538408764.647 * [misc]progress: [Phase 2 of 3] Improving. 1538408764.647 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1538408764.648 * * [misc]simplify: iters left: 6 (13 enodes) 1538408764.652 * * [misc]simplify: iters left: 5 (28 enodes) 1538408764.658 * * [misc]simplify: iters left: 4 (44 enodes) 1538408764.672 * * [misc]simplify: iters left: 3 (54 enodes) 1538408764.680 * * [misc]simplify: iters left: 2 (57 enodes) 1538408764.693 * * [misc]simplify: iters left: 1 (65 enodes) 1538408764.705 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538408764.721 * * [misc]progress: iteration 1 / 4 1538408764.721 * * * [misc]progress: picking best candidate 1538408764.734 * * * * [misc]pick: Picked # 1538408764.734 * * * [misc]progress: localizing error 1538408764.787 * * * [misc]progress: generating rewritten candidates 1538408764.787 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1538408764.828 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1538408764.845 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1538408764.884 * * * [misc]progress: generating series expansions 1538408764.884 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1538408764.884 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1538408764.884 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1538408764.885 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.885 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.885 * [misc]taylor: Taking taylor expansion of k in k 1538408764.885 * [misc]backup-simplify: Simplify 0 into 0 1538408764.885 * [misc]backup-simplify: Simplify 1 into 1 1538408764.885 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of 2 in k 1538408764.885 * [misc]backup-simplify: Simplify 2 into 2 1538408764.885 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538408764.885 * [misc]taylor: Taking taylor expansion of n in k 1538408764.885 * [misc]backup-simplify: Simplify n into n 1538408764.885 * [misc]taylor: Taking taylor expansion of PI in k 1538408764.885 * [misc]backup-simplify: Simplify PI into PI 1538408764.885 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538408764.885 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538408764.886 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538408764.886 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408764.886 * [misc]backup-simplify: Simplify (- 0) into 0 1538408764.886 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408764.886 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538408764.887 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538408764.887 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.887 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.887 * [misc]taylor: Taking taylor expansion of k in n 1538408764.887 * [misc]backup-simplify: Simplify k into k 1538408764.887 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of 2 in n 1538408764.887 * [misc]backup-simplify: Simplify 2 into 2 1538408764.887 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408764.887 * [misc]taylor: Taking taylor expansion of n in n 1538408764.887 * [misc]backup-simplify: Simplify 0 into 0 1538408764.887 * [misc]backup-simplify: Simplify 1 into 1 1538408764.887 * [misc]taylor: Taking taylor expansion of PI in n 1538408764.887 * [misc]backup-simplify: Simplify PI into PI 1538408764.888 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408764.888 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408764.889 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408764.889 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538408764.890 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408764.890 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408764.890 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408764.890 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408764.891 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408764.892 * [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)))) 1538408764.892 * [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))))) 1538408764.892 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538408764.892 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538408764.893 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538408764.893 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408764.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.893 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408764.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.893 * [misc]taylor: Taking taylor expansion of k in n 1538408764.893 * [misc]backup-simplify: Simplify k into k 1538408764.893 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538408764.893 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538408764.893 * [misc]taylor: Taking taylor expansion of 2 in n 1538408764.893 * [misc]backup-simplify: Simplify 2 into 2 1538408764.893 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408764.893 * [misc]taylor: Taking taylor expansion of n in n 1538408764.893 * [misc]backup-simplify: Simplify 0 into 0 1538408764.893 * [misc]backup-simplify: Simplify 1 into 1 1538408764.893 * [misc]taylor: Taking taylor expansion of PI in n 1538408764.893 * [misc]backup-simplify: Simplify PI into PI 1538408764.893 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408764.894 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408764.894 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408764.895 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538408764.896 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408764.896 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408764.896 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408764.896 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408764.897 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408764.898 * [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)))) 1538408764.898 * [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))))) 1538408764.898 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.899 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.899 * [misc]taylor: Taking taylor expansion of k in k 1538408764.899 * [misc]backup-simplify: Simplify 0 into 0 1538408764.899 * [misc]backup-simplify: Simplify 1 into 1 1538408764.899 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of n in k 1538408764.899 * [misc]backup-simplify: Simplify n into n 1538408764.899 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408764.899 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538408764.899 * [misc]taylor: Taking taylor expansion of 2 in k 1538408764.899 * [misc]backup-simplify: Simplify 2 into 2 1538408764.899 * [misc]taylor: Taking taylor expansion of PI in k 1538408764.899 * [misc]backup-simplify: Simplify PI into PI 1538408764.899 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408764.900 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408764.900 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408764.900 * [misc]backup-simplify: Simplify (- 0) into 0 1538408764.900 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408764.901 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408764.902 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538408764.902 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538408764.903 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538408764.904 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538408764.906 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538408764.914 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538408764.915 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538408764.915 * [misc]backup-simplify: Simplify (- 0) into 0 1538408764.915 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408764.916 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408764.917 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538408764.919 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408764.919 * [misc]taylor: Taking taylor expansion of 0 in k 1538408764.919 * [misc]backup-simplify: Simplify 0 into 0 1538408764.919 * [misc]backup-simplify: Simplify 0 into 0 1538408764.920 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408764.920 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538408764.924 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538408764.924 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408764.924 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408764.924 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408764.924 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408764.925 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538408764.927 * [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))))))) 1538408764.929 * [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))))))) 1538408764.931 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408764.933 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538408764.939 * [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 1538408764.939 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538408764.939 * [misc]backup-simplify: Simplify (- 0) into 0 1538408764.939 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408764.940 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408764.941 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538408764.944 * [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 1538408764.944 * [misc]taylor: Taking taylor expansion of 0 in k 1538408764.944 * [misc]backup-simplify: Simplify 0 into 0 1538408764.944 * [misc]backup-simplify: Simplify 0 into 0 1538408764.944 * [misc]backup-simplify: Simplify 0 into 0 1538408764.945 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538408764.947 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408764.953 * [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 1538408764.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408764.954 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408764.954 * [misc]backup-simplify: Simplify (- 0) into 0 1538408764.954 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408764.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538408764.959 * [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))))) 1538408764.963 * [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))))) 1538408764.972 * [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))))) 1538408764.973 * [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)))) 1538408764.973 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538408764.973 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408764.973 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538408764.973 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538408764.973 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408764.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.973 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408764.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408764.973 * [misc]taylor: Taking taylor expansion of k in k 1538408764.973 * [misc]backup-simplify: Simplify 0 into 0 1538408764.973 * [misc]backup-simplify: Simplify 1 into 1 1538408764.974 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408764.974 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538408764.974 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538408764.974 * [misc]taylor: Taking taylor expansion of 2 in k 1538408764.974 * [misc]backup-simplify: Simplify 2 into 2 1538408764.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538408764.974 * [misc]taylor: Taking taylor expansion of PI in k 1538408764.974 * [misc]backup-simplify: Simplify PI into PI 1538408764.974 * [misc]taylor: Taking taylor expansion of n in k 1538408764.974 * [misc]backup-simplify: Simplify n into n 1538408764.974 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538408764.974 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538408764.974 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538408764.975 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408764.975 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408764.975 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408764.975 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538408764.976 * [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)))) 1538408764.976 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.976 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.976 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of k in n 1538408764.976 * [misc]backup-simplify: Simplify k into k 1538408764.976 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408764.976 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of 2 in n 1538408764.976 * [misc]backup-simplify: Simplify 2 into 2 1538408764.976 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408764.976 * [misc]taylor: Taking taylor expansion of PI in n 1538408764.976 * [misc]backup-simplify: Simplify PI into PI 1538408764.976 * [misc]taylor: Taking taylor expansion of n in n 1538408764.976 * [misc]backup-simplify: Simplify 0 into 0 1538408764.976 * [misc]backup-simplify: Simplify 1 into 1 1538408764.977 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408764.977 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408764.978 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408764.978 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408764.978 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408764.978 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408764.979 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408764.979 * [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))) 1538408764.980 * [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)))) 1538408764.980 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408764.980 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538408764.980 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538408764.980 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408764.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.980 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408764.981 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408764.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.981 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408764.981 * [misc]taylor: Taking taylor expansion of k in n 1538408764.981 * [misc]backup-simplify: Simplify k into k 1538408764.981 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408764.981 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538408764.981 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538408764.981 * [misc]taylor: Taking taylor expansion of 2 in n 1538408764.981 * [misc]backup-simplify: Simplify 2 into 2 1538408764.981 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408764.981 * [misc]taylor: Taking taylor expansion of PI in n 1538408764.981 * [misc]backup-simplify: Simplify PI into PI 1538408764.981 * [misc]taylor: Taking taylor expansion of n in n 1538408764.981 * [misc]backup-simplify: Simplify 0 into 0 1538408764.981 * [misc]backup-simplify: Simplify 1 into 1 1538408764.981 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408764.982 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408764.982 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408764.982 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408764.982 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408764.982 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408764.983 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408764.984 * [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))) 1538408764.985 * [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)))) 1538408764.985 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408764.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408764.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of k in k 1538408764.985 * [misc]backup-simplify: Simplify 0 into 0 1538408764.985 * [misc]backup-simplify: Simplify 1 into 1 1538408764.985 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408764.985 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538408764.985 * [misc]taylor: Taking taylor expansion of 2 in k 1538408764.985 * [misc]backup-simplify: Simplify 2 into 2 1538408764.985 * [misc]taylor: Taking taylor expansion of PI in k 1538408764.986 * [misc]backup-simplify: Simplify PI into PI 1538408764.986 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408764.986 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408764.986 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408764.986 * [misc]taylor: Taking taylor expansion of n in k 1538408764.986 * [misc]backup-simplify: Simplify n into n 1538408764.987 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408764.987 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408764.987 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408764.987 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408764.987 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408764.988 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538408764.988 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538408764.989 * [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)))) 1538408764.990 * [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)))) 1538408764.991 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538408764.992 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538408764.995 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538408764.995 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408764.995 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408764.996 * [misc]backup-simplify: Simplify (- 0) into 0 1538408764.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408764.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408764.998 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538408764.999 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408765.000 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.000 * [misc]backup-simplify: Simplify 0 into 0 1538408765.000 * [misc]backup-simplify: Simplify 0 into 0 1538408765.000 * [misc]backup-simplify: Simplify 0 into 0 1538408765.001 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.002 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408765.009 * [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 1538408765.009 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.009 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408765.009 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.010 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408765.011 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538408765.014 * [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 1538408765.014 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.014 * [misc]backup-simplify: Simplify 0 into 0 1538408765.014 * [misc]backup-simplify: Simplify 0 into 0 1538408765.014 * [misc]backup-simplify: Simplify 0 into 0 1538408765.014 * [misc]backup-simplify: Simplify 0 into 0 1538408765.016 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.028 * [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 1538408765.029 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.029 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408765.029 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408765.032 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538408765.036 * [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 1538408765.036 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.036 * [misc]backup-simplify: Simplify 0 into 0 1538408765.036 * [misc]backup-simplify: Simplify 0 into 0 1538408765.037 * [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))))) 1538408765.037 * [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)) 1538408765.038 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538408765.038 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.038 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of k in k 1538408765.038 * [misc]backup-simplify: Simplify 0 into 0 1538408765.038 * [misc]backup-simplify: Simplify 1 into 1 1538408765.038 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.038 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of -2 in k 1538408765.038 * [misc]backup-simplify: Simplify -2 into -2 1538408765.038 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538408765.038 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.038 * [misc]backup-simplify: Simplify PI into PI 1538408765.038 * [misc]taylor: Taking taylor expansion of n in k 1538408765.038 * [misc]backup-simplify: Simplify n into n 1538408765.038 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538408765.039 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538408765.039 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538408765.039 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408765.039 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408765.039 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538408765.040 * [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))) 1538408765.040 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of k in n 1538408765.040 * [misc]backup-simplify: Simplify k into k 1538408765.040 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.040 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of -2 in n 1538408765.040 * [misc]backup-simplify: Simplify -2 into -2 1538408765.040 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.040 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.040 * [misc]backup-simplify: Simplify PI into PI 1538408765.040 * [misc]taylor: Taking taylor expansion of n in n 1538408765.040 * [misc]backup-simplify: Simplify 0 into 0 1538408765.040 * [misc]backup-simplify: Simplify 1 into 1 1538408765.041 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.041 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.042 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538408765.042 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408765.042 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408765.043 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.044 * [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))) 1538408765.044 * [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)))) 1538408765.044 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.045 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of k in n 1538408765.045 * [misc]backup-simplify: Simplify k into k 1538408765.045 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.045 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of -2 in n 1538408765.045 * [misc]backup-simplify: Simplify -2 into -2 1538408765.045 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.045 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.045 * [misc]backup-simplify: Simplify PI into PI 1538408765.045 * [misc]taylor: Taking taylor expansion of n in n 1538408765.045 * [misc]backup-simplify: Simplify 0 into 0 1538408765.045 * [misc]backup-simplify: Simplify 1 into 1 1538408765.046 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.046 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.046 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538408765.046 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408765.047 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408765.048 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.049 * [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))) 1538408765.049 * [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)))) 1538408765.049 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of k in k 1538408765.050 * [misc]backup-simplify: Simplify 0 into 0 1538408765.050 * [misc]backup-simplify: Simplify 1 into 1 1538408765.050 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.050 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538408765.050 * [misc]taylor: Taking taylor expansion of -2 in k 1538408765.050 * [misc]backup-simplify: Simplify -2 into -2 1538408765.050 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.050 * [misc]backup-simplify: Simplify PI into PI 1538408765.051 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.051 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538408765.051 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408765.051 * [misc]taylor: Taking taylor expansion of n in k 1538408765.051 * [misc]backup-simplify: Simplify n into n 1538408765.051 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408765.051 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408765.052 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408765.052 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408765.052 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538408765.053 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538408765.054 * [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)))) 1538408765.054 * [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)))) 1538408765.056 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538408765.056 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538408765.059 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538408765.060 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408765.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408765.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.061 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.062 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538408765.063 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408765.063 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.063 * [misc]backup-simplify: Simplify 0 into 0 1538408765.063 * [misc]backup-simplify: Simplify 0 into 0 1538408765.063 * [misc]backup-simplify: Simplify 0 into 0 1538408765.065 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.066 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408765.076 * [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 1538408765.076 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408765.077 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.077 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.078 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538408765.081 * [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 1538408765.081 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.081 * [misc]backup-simplify: Simplify 0 into 0 1538408765.081 * [misc]backup-simplify: Simplify 0 into 0 1538408765.081 * [misc]backup-simplify: Simplify 0 into 0 1538408765.081 * [misc]backup-simplify: Simplify 0 into 0 1538408765.083 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.085 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.094 * [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 1538408765.095 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408765.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.096 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.098 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1538408765.103 * [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 1538408765.103 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.103 * [misc]backup-simplify: Simplify 0 into 0 1538408765.103 * [misc]backup-simplify: Simplify 0 into 0 1538408765.104 * [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))))) 1538408765.104 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1538408765.104 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1538408765.104 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1538408765.104 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538408765.104 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.104 * [misc]backup-simplify: Simplify 2 into 2 1538408765.104 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408765.104 * [misc]taylor: Taking taylor expansion of n in n 1538408765.104 * [misc]backup-simplify: Simplify 0 into 0 1538408765.104 * [misc]backup-simplify: Simplify 1 into 1 1538408765.105 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.105 * [misc]backup-simplify: Simplify PI into PI 1538408765.105 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538408765.105 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.105 * [misc]backup-simplify: Simplify 2 into 2 1538408765.105 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408765.105 * [misc]taylor: Taking taylor expansion of n in n 1538408765.105 * [misc]backup-simplify: Simplify 0 into 0 1538408765.105 * [misc]backup-simplify: Simplify 1 into 1 1538408765.105 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.105 * [misc]backup-simplify: Simplify PI into PI 1538408765.105 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408765.105 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408765.105 * [misc]backup-simplify: Simplify 0 into 0 1538408765.106 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408765.107 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538408765.107 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408765.108 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538408765.109 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538408765.109 * [misc]backup-simplify: Simplify 0 into 0 1538408765.110 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.111 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538408765.111 * [misc]backup-simplify: Simplify 0 into 0 1538408765.112 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538408765.113 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538408765.113 * [misc]backup-simplify: Simplify 0 into 0 1538408765.115 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538408765.117 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1538408765.117 * [misc]backup-simplify: Simplify 0 into 0 1538408765.119 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538408765.121 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1538408765.121 * [misc]backup-simplify: Simplify 0 into 0 1538408765.123 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1538408765.126 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1538408765.126 * [misc]backup-simplify: Simplify 0 into 0 1538408765.126 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1538408765.126 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1538408765.126 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1538408765.126 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538408765.126 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.126 * [misc]backup-simplify: Simplify 2 into 2 1538408765.126 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.126 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.126 * [misc]backup-simplify: Simplify PI into PI 1538408765.126 * [misc]taylor: Taking taylor expansion of n in n 1538408765.126 * [misc]backup-simplify: Simplify 0 into 0 1538408765.126 * [misc]backup-simplify: Simplify 1 into 1 1538408765.126 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.126 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538408765.126 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.126 * [misc]backup-simplify: Simplify 2 into 2 1538408765.126 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.126 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.126 * [misc]backup-simplify: Simplify PI into PI 1538408765.126 * [misc]taylor: Taking taylor expansion of n in n 1538408765.126 * [misc]backup-simplify: Simplify 0 into 0 1538408765.126 * [misc]backup-simplify: Simplify 1 into 1 1538408765.127 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.127 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408765.127 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408765.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538408765.128 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538408765.128 * [misc]backup-simplify: Simplify 0 into 0 1538408765.129 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.130 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408765.130 * [misc]backup-simplify: Simplify 0 into 0 1538408765.131 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.132 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.132 * [misc]backup-simplify: Simplify 0 into 0 1538408765.133 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.134 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538408765.134 * [misc]backup-simplify: Simplify 0 into 0 1538408765.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538408765.137 * [misc]backup-simplify: Simplify 0 into 0 1538408765.139 * [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 1538408765.141 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538408765.142 * [misc]backup-simplify: Simplify 0 into 0 1538408765.142 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1538408765.142 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1538408765.142 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1538408765.142 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538408765.142 * [misc]taylor: Taking taylor expansion of -2 in n 1538408765.142 * [misc]backup-simplify: Simplify -2 into -2 1538408765.142 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.142 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.142 * [misc]backup-simplify: Simplify PI into PI 1538408765.142 * [misc]taylor: Taking taylor expansion of n in n 1538408765.142 * [misc]backup-simplify: Simplify 0 into 0 1538408765.143 * [misc]backup-simplify: Simplify 1 into 1 1538408765.143 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.143 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538408765.143 * [misc]taylor: Taking taylor expansion of -2 in n 1538408765.143 * [misc]backup-simplify: Simplify -2 into -2 1538408765.143 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.143 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.143 * [misc]backup-simplify: Simplify PI into PI 1538408765.143 * [misc]taylor: Taking taylor expansion of n in n 1538408765.143 * [misc]backup-simplify: Simplify 0 into 0 1538408765.143 * [misc]backup-simplify: Simplify 1 into 1 1538408765.143 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.144 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.144 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.145 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538408765.146 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538408765.146 * [misc]backup-simplify: Simplify 0 into 0 1538408765.148 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.149 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408765.149 * [misc]backup-simplify: Simplify 0 into 0 1538408765.151 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.152 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.152 * [misc]backup-simplify: Simplify 0 into 0 1538408765.154 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.157 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538408765.157 * [misc]backup-simplify: Simplify 0 into 0 1538408765.159 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.162 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538408765.163 * [misc]backup-simplify: Simplify 0 into 0 1538408765.165 * [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 1538408765.169 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538408765.169 * [misc]backup-simplify: Simplify 0 into 0 1538408765.169 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1538408765.169 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1538408765.170 * [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)))) 1538408765.170 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1538408765.170 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1538408765.170 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408765.170 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.170 * [misc]taylor: Taking taylor expansion of k in k 1538408765.170 * [misc]backup-simplify: Simplify 0 into 0 1538408765.170 * [misc]backup-simplify: Simplify 1 into 1 1538408765.170 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.171 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408765.171 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408765.171 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538408765.171 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538408765.171 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538408765.171 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408765.171 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.171 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408765.171 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.171 * [misc]taylor: Taking taylor expansion of k in k 1538408765.171 * [misc]backup-simplify: Simplify 0 into 0 1538408765.171 * [misc]backup-simplify: Simplify 1 into 1 1538408765.171 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538408765.171 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538408765.172 * [misc]taylor: Taking taylor expansion of 2 in k 1538408765.172 * [misc]backup-simplify: Simplify 2 into 2 1538408765.172 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538408765.172 * [misc]taylor: Taking taylor expansion of n in k 1538408765.172 * [misc]backup-simplify: Simplify n into n 1538408765.172 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.172 * [misc]backup-simplify: Simplify PI into PI 1538408765.172 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538408765.172 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538408765.172 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538408765.172 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408765.172 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.173 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408765.173 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538408765.173 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538408765.173 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538408765.173 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538408765.173 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.173 * [misc]taylor: Taking taylor expansion of k in n 1538408765.173 * [misc]backup-simplify: Simplify k into k 1538408765.173 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.173 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538408765.174 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408765.174 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538408765.174 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.174 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.174 * [misc]taylor: Taking taylor expansion of k in n 1538408765.174 * [misc]backup-simplify: Simplify k into k 1538408765.174 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.174 * [misc]backup-simplify: Simplify 2 into 2 1538408765.174 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408765.174 * [misc]taylor: Taking taylor expansion of n in n 1538408765.174 * [misc]backup-simplify: Simplify 0 into 0 1538408765.174 * [misc]backup-simplify: Simplify 1 into 1 1538408765.174 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.174 * [misc]backup-simplify: Simplify PI into PI 1538408765.175 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408765.175 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408765.176 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408765.176 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538408765.177 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408765.177 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408765.177 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408765.177 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408765.178 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408765.179 * [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)))) 1538408765.179 * [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))))) 1538408765.179 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538408765.179 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538408765.179 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.179 * [misc]taylor: Taking taylor expansion of k in n 1538408765.179 * [misc]backup-simplify: Simplify k into k 1538408765.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.180 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538408765.180 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408765.180 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538408765.180 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.180 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.180 * [misc]taylor: Taking taylor expansion of k in n 1538408765.180 * [misc]backup-simplify: Simplify k into k 1538408765.180 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.180 * [misc]backup-simplify: Simplify 2 into 2 1538408765.180 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408765.180 * [misc]taylor: Taking taylor expansion of n in n 1538408765.180 * [misc]backup-simplify: Simplify 0 into 0 1538408765.180 * [misc]backup-simplify: Simplify 1 into 1 1538408765.180 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.181 * [misc]backup-simplify: Simplify PI into PI 1538408765.181 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408765.181 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408765.182 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408765.182 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538408765.183 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408765.183 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408765.183 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408765.183 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408765.184 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408765.185 * [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)))) 1538408765.186 * [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))))) 1538408765.186 * [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))) 1538408765.186 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.187 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.187 * [misc]taylor: Taking taylor expansion of k in k 1538408765.187 * [misc]backup-simplify: Simplify 0 into 0 1538408765.187 * [misc]backup-simplify: Simplify 1 into 1 1538408765.187 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of n in k 1538408765.187 * [misc]backup-simplify: Simplify n into n 1538408765.187 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408765.187 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538408765.187 * [misc]taylor: Taking taylor expansion of 2 in k 1538408765.187 * [misc]backup-simplify: Simplify 2 into 2 1538408765.187 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.187 * [misc]backup-simplify: Simplify PI into PI 1538408765.188 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408765.188 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408765.188 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408765.188 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.189 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408765.189 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408765.190 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538408765.191 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538408765.191 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408765.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.191 * [misc]taylor: Taking taylor expansion of k in k 1538408765.191 * [misc]backup-simplify: Simplify 0 into 0 1538408765.191 * [misc]backup-simplify: Simplify 1 into 1 1538408765.191 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.191 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408765.191 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408765.192 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1538408765.192 * [misc]backup-simplify: Simplify 0 into 0 1538408765.193 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538408765.195 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538408765.200 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538408765.200 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538408765.200 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.200 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.201 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408765.202 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538408765.204 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408765.204 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1538408765.204 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.204 * [misc]backup-simplify: Simplify 0 into 0 1538408765.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408765.206 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538408765.210 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538408765.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.210 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408765.210 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408765.211 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408765.212 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538408765.214 * [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))))))) 1538408765.216 * [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))))))) 1538408765.217 * [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))))))) 1538408765.219 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.221 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538408765.227 * [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 1538408765.227 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538408765.227 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.227 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.228 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408765.229 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538408765.232 * [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 1538408765.232 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.233 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538408765.234 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1538408765.234 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.234 * [misc]backup-simplify: Simplify 0 into 0 1538408765.234 * [misc]backup-simplify: Simplify 0 into 0 1538408765.234 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408765.235 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408765.237 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538408765.238 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408765.242 * [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 1538408765.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.242 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408765.242 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.243 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538408765.245 * [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))))) 1538408765.250 * [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)))))))) 1538408765.252 * [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)))))))) 1538408765.253 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538408765.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538408765.260 * [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 1538408765.260 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538408765.260 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.261 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538408765.261 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538408765.264 * [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 1538408765.264 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.264 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538408765.265 * [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 1538408765.265 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.265 * [misc]backup-simplify: Simplify 0 into 0 1538408765.265 * [misc]backup-simplify: Simplify 0 into 0 1538408765.265 * [misc]backup-simplify: Simplify 0 into 0 1538408765.265 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.266 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408765.268 * [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 1538408765.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.275 * [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 1538408765.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.275 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408765.275 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.276 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538408765.280 * [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))))))) 1538408765.294 * [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)))))))))))))) 1538408765.302 * [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)))))))))))))) 1538408765.315 * [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)))))))))))))))))))))) 1538408765.315 * [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))))) 1538408765.316 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1538408765.316 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of k in k 1538408765.316 * [misc]backup-simplify: Simplify 0 into 0 1538408765.316 * [misc]backup-simplify: Simplify 1 into 1 1538408765.316 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408765.316 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408765.316 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.316 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.316 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of k in k 1538408765.316 * [misc]backup-simplify: Simplify 0 into 0 1538408765.316 * [misc]backup-simplify: Simplify 1 into 1 1538408765.316 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.316 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538408765.316 * [misc]taylor: Taking taylor expansion of 2 in k 1538408765.316 * [misc]backup-simplify: Simplify 2 into 2 1538408765.316 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538408765.317 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.317 * [misc]backup-simplify: Simplify PI into PI 1538408765.317 * [misc]taylor: Taking taylor expansion of n in k 1538408765.317 * [misc]backup-simplify: Simplify n into n 1538408765.317 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538408765.317 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538408765.317 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538408765.317 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408765.317 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408765.317 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408765.317 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538408765.317 * [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)))) 1538408765.317 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408765.317 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538408765.317 * [misc]taylor: Taking taylor expansion of k in n 1538408765.318 * [misc]backup-simplify: Simplify k into k 1538408765.318 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538408765.318 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538408765.318 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.318 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of k in n 1538408765.318 * [misc]backup-simplify: Simplify k into k 1538408765.318 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.318 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.318 * [misc]backup-simplify: Simplify 2 into 2 1538408765.318 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.318 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.318 * [misc]backup-simplify: Simplify PI into PI 1538408765.318 * [misc]taylor: Taking taylor expansion of n in n 1538408765.318 * [misc]backup-simplify: Simplify 0 into 0 1538408765.318 * [misc]backup-simplify: Simplify 1 into 1 1538408765.318 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.318 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408765.319 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408765.319 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408765.319 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408765.319 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408765.319 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408765.320 * [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))) 1538408765.320 * [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)))) 1538408765.320 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408765.320 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538408765.320 * [misc]taylor: Taking taylor expansion of k in n 1538408765.320 * [misc]backup-simplify: Simplify k into k 1538408765.320 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538408765.321 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538408765.321 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.321 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.321 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of k in n 1538408765.321 * [misc]backup-simplify: Simplify k into k 1538408765.321 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.321 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of 2 in n 1538408765.321 * [misc]backup-simplify: Simplify 2 into 2 1538408765.321 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.321 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.321 * [misc]backup-simplify: Simplify PI into PI 1538408765.321 * [misc]taylor: Taking taylor expansion of n in n 1538408765.321 * [misc]backup-simplify: Simplify 0 into 0 1538408765.321 * [misc]backup-simplify: Simplify 1 into 1 1538408765.321 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.321 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408765.322 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408765.322 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408765.322 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408765.322 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408765.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408765.323 * [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))) 1538408765.324 * [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)))) 1538408765.325 * [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)) 1538408765.325 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.325 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.325 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of k in k 1538408765.325 * [misc]backup-simplify: Simplify 0 into 0 1538408765.325 * [misc]backup-simplify: Simplify 1 into 1 1538408765.325 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.325 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538408765.325 * [misc]taylor: Taking taylor expansion of 2 in k 1538408765.325 * [misc]backup-simplify: Simplify 2 into 2 1538408765.325 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.326 * [misc]backup-simplify: Simplify PI into PI 1538408765.326 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538408765.326 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538408765.326 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408765.326 * [misc]taylor: Taking taylor expansion of n in k 1538408765.326 * [misc]backup-simplify: Simplify n into n 1538408765.327 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408765.327 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408765.327 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408765.327 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408765.327 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408765.328 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538408765.328 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538408765.329 * [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)))) 1538408765.329 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408765.329 * [misc]taylor: Taking taylor expansion of k in k 1538408765.329 * [misc]backup-simplify: Simplify 0 into 0 1538408765.329 * [misc]backup-simplify: Simplify 1 into 1 1538408765.329 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408765.330 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408765.330 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1538408765.331 * [misc]backup-simplify: Simplify 0 into 0 1538408765.332 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538408765.332 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538408765.336 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538408765.336 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408765.336 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408765.336 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.336 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.337 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408765.338 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538408765.339 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408765.340 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1538408765.340 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.340 * [misc]backup-simplify: Simplify 0 into 0 1538408765.340 * [misc]backup-simplify: Simplify 0 into 0 1538408765.341 * [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)))))) 1538408765.342 * [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)))))) 1538408765.344 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.345 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408765.351 * [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 1538408765.351 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.352 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408765.352 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.352 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408765.353 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538408765.354 * [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 1538408765.355 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538408765.356 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1538408765.356 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.356 * [misc]backup-simplify: Simplify 0 into 0 1538408765.356 * [misc]backup-simplify: Simplify 0 into 0 1538408765.356 * [misc]backup-simplify: Simplify 0 into 0 1538408765.356 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408765.357 * [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)))))) 1538408765.357 * [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)))))) 1538408765.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.360 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538408765.365 * [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 1538408765.365 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.365 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408765.365 * [misc]backup-simplify: Simplify (- 0) into 0 1538408765.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.366 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538408765.367 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538408765.369 * [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 1538408765.369 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538408765.370 * [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 1538408765.370 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.370 * [misc]backup-simplify: Simplify 0 into 0 1538408765.370 * [misc]backup-simplify: Simplify 0 into 0 1538408765.370 * [misc]backup-simplify: Simplify 0 into 0 1538408765.370 * [misc]backup-simplify: Simplify 0 into 0 1538408765.371 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408765.371 * [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)))))) 1538408765.372 * [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)))))) 1538408765.374 * [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)))))))) 1538408765.374 * [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))) 1538408765.374 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538408765.374 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538408765.374 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408765.374 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538408765.374 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538408765.374 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408765.374 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408765.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.374 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.374 * [misc]taylor: Taking taylor expansion of k in k 1538408765.374 * [misc]backup-simplify: Simplify 0 into 0 1538408765.374 * [misc]backup-simplify: Simplify 1 into 1 1538408765.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.375 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538408765.375 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538408765.375 * [misc]taylor: Taking taylor expansion of -2 in k 1538408765.375 * [misc]backup-simplify: Simplify -2 into -2 1538408765.375 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538408765.375 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.375 * [misc]backup-simplify: Simplify PI into PI 1538408765.375 * [misc]taylor: Taking taylor expansion of n in k 1538408765.375 * [misc]backup-simplify: Simplify n into n 1538408765.375 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538408765.375 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538408765.375 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538408765.375 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408765.375 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408765.375 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538408765.376 * [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))) 1538408765.376 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408765.376 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408765.376 * [misc]taylor: Taking taylor expansion of -1 in k 1538408765.376 * [misc]backup-simplify: Simplify -1 into -1 1538408765.376 * [misc]taylor: Taking taylor expansion of k in k 1538408765.376 * [misc]backup-simplify: Simplify 0 into 0 1538408765.376 * [misc]backup-simplify: Simplify 1 into 1 1538408765.376 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408765.376 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408765.376 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408765.377 * [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)))) 1538408765.377 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of k in n 1538408765.377 * [misc]backup-simplify: Simplify k into k 1538408765.377 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.377 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of -2 in n 1538408765.377 * [misc]backup-simplify: Simplify -2 into -2 1538408765.377 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.377 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.377 * [misc]backup-simplify: Simplify PI into PI 1538408765.377 * [misc]taylor: Taking taylor expansion of n in n 1538408765.377 * [misc]backup-simplify: Simplify 0 into 0 1538408765.377 * [misc]backup-simplify: Simplify 1 into 1 1538408765.377 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.377 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.378 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538408765.378 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408765.378 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408765.378 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.379 * [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))) 1538408765.379 * [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)))) 1538408765.379 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408765.379 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408765.379 * [misc]taylor: Taking taylor expansion of -1 in n 1538408765.379 * [misc]backup-simplify: Simplify -1 into -1 1538408765.379 * [misc]taylor: Taking taylor expansion of k in n 1538408765.379 * [misc]backup-simplify: Simplify k into k 1538408765.379 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408765.379 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408765.380 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408765.380 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408765.380 * [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))) 1538408765.380 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.380 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of k in n 1538408765.380 * [misc]backup-simplify: Simplify k into k 1538408765.380 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408765.380 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408765.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.380 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of -2 in n 1538408765.380 * [misc]backup-simplify: Simplify -2 into -2 1538408765.380 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538408765.380 * [misc]taylor: Taking taylor expansion of PI in n 1538408765.381 * [misc]backup-simplify: Simplify PI into PI 1538408765.381 * [misc]taylor: Taking taylor expansion of n in n 1538408765.381 * [misc]backup-simplify: Simplify 0 into 0 1538408765.381 * [misc]backup-simplify: Simplify 1 into 1 1538408765.381 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538408765.381 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.381 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538408765.381 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408765.381 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408765.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.382 * [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))) 1538408765.383 * [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)))) 1538408765.383 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408765.383 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408765.383 * [misc]taylor: Taking taylor expansion of -1 in n 1538408765.383 * [misc]backup-simplify: Simplify -1 into -1 1538408765.383 * [misc]taylor: Taking taylor expansion of k in n 1538408765.383 * [misc]backup-simplify: Simplify k into k 1538408765.383 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408765.383 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408765.383 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408765.383 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408765.384 * [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))) 1538408765.384 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.384 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of k in k 1538408765.384 * [misc]backup-simplify: Simplify 0 into 0 1538408765.384 * [misc]backup-simplify: Simplify 1 into 1 1538408765.384 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408765.384 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408765.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408765.384 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538408765.384 * [misc]taylor: Taking taylor expansion of -2 in k 1538408765.384 * [misc]backup-simplify: Simplify -2 into -2 1538408765.384 * [misc]taylor: Taking taylor expansion of PI in k 1538408765.384 * [misc]backup-simplify: Simplify PI into PI 1538408765.384 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538408765.385 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538408765.385 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408765.385 * [misc]taylor: Taking taylor expansion of n in k 1538408765.385 * [misc]backup-simplify: Simplify n into n 1538408765.385 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408765.385 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408765.385 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408765.385 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408765.385 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538408765.386 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538408765.386 * [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)))) 1538408765.386 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408765.386 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408765.386 * [misc]taylor: Taking taylor expansion of -1 in k 1538408765.386 * [misc]backup-simplify: Simplify -1 into -1 1538408765.386 * [misc]taylor: Taking taylor expansion of k in k 1538408765.386 * [misc]backup-simplify: Simplify 0 into 0 1538408765.386 * [misc]backup-simplify: Simplify 1 into 1 1538408765.386 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408765.387 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408765.387 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408765.387 * [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))))) 1538408765.388 * [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))))) 1538408765.389 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538408765.389 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538408765.391 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538408765.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408765.391 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408765.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.392 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538408765.393 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408765.394 * [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 1538408765.394 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.394 * [misc]backup-simplify: Simplify 0 into 0 1538408765.394 * [misc]backup-simplify: Simplify 0 into 0 1538408765.394 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538408765.395 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408765.395 * [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)))))) 1538408765.396 * [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)))))) 1538408765.397 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.398 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538408765.401 * [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 1538408765.403 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408765.403 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408765.404 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538408765.404 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538408765.406 * [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 1538408765.406 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408765.406 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538408765.407 * [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 1538408765.407 * [misc]taylor: Taking taylor expansion of 0 in k 1538408765.407 * [misc]backup-simplify: Simplify 0 into 0 1538408765.407 * [misc]backup-simplify: Simplify 0 into 0 1538408765.407 * [misc]backup-simplify: Simplify 0 into 0 1538408765.407 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408765.408 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408765.409 * [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)))))) 1538408765.410 * [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)))))) 1538408765.412 * [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))))))))))) 1538408765.412 * * * [misc]progress: simplifying candidates 1538408765.412 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1538408765.412 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1538408765.413 * * [misc]simplify: iters left: 6 (11 enodes) 1538408765.416 * * [misc]simplify: iters left: 5 (21 enodes) 1538408765.423 * * [misc]simplify: iters left: 4 (47 enodes) 1538408765.440 * * [misc]simplify: iters left: 3 (109 enodes) 1538408765.494 * * [misc]simplify: iters left: 2 (300 enodes) 1538408765.896 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1538408765.896 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1538408765.896 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1538408765.896 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1538408765.897 * [enter]simplify: Simplifying (* PI (* n 2)) 1538408765.897 * * [misc]simplify: iters left: 4 (5 enodes) 1538408765.899 * * [misc]simplify: iters left: 3 (9 enodes) 1538408765.901 * * [misc]simplify: iters left: 2 (15 enodes) 1538408765.903 * * [misc]simplify: iters left: 1 (17 enodes) 1538408765.906 * [exit]simplify: Simplified to (* (* 2 n) PI) 1538408765.906 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1538408765.906 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1538408765.906 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1538408765.907 * * [misc]simplify: iters left: 5 (8 enodes) 1538408765.909 * * [misc]simplify: iters left: 4 (12 enodes) 1538408765.911 * * [misc]simplify: iters left: 3 (18 enodes) 1538408765.914 * * [misc]simplify: iters left: 2 (20 enodes) 1538408765.918 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1538408765.918 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1538408765.918 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1538408765.918 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538408765.918 * * [misc]simplify: iters left: 5 (6 enodes) 1538408765.919 * * [misc]simplify: iters left: 4 (8 enodes) 1538408765.921 * * [misc]simplify: iters left: 3 (11 enodes) 1538408765.923 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538408765.923 * [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))) 1538408765.923 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1538408765.923 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538408765.923 * * [misc]simplify: iters left: 5 (6 enodes) 1538408765.924 * * [misc]simplify: iters left: 4 (8 enodes) 1538408765.926 * * [misc]simplify: iters left: 3 (11 enodes) 1538408765.928 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538408765.928 * [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))) 1538408765.928 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1538408765.928 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538408765.929 * * [misc]simplify: iters left: 4 (5 enodes) 1538408765.931 * * [misc]simplify: iters left: 3 (7 enodes) 1538408765.933 * * [misc]simplify: iters left: 2 (10 enodes) 1538408765.937 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538408765.937 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1538408765.937 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1538408765.937 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538408765.938 * * [misc]simplify: iters left: 5 (9 enodes) 1538408765.942 * * [misc]simplify: iters left: 4 (15 enodes) 1538408765.948 * * [misc]simplify: iters left: 3 (21 enodes) 1538408765.955 * * [misc]simplify: iters left: 2 (22 enodes) 1538408765.963 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538408765.963 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538408765.963 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1538408765.963 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538408765.964 * * [misc]simplify: iters left: 5 (9 enodes) 1538408765.969 * * [misc]simplify: iters left: 4 (15 enodes) 1538408765.976 * * [misc]simplify: iters left: 3 (21 enodes) 1538408765.983 * * [misc]simplify: iters left: 2 (22 enodes) 1538408765.990 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538408765.990 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538408765.990 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1538408765.991 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538408765.991 * * [misc]simplify: iters left: 5 (7 enodes) 1538408765.994 * * [misc]simplify: iters left: 4 (9 enodes) 1538408765.997 * * [misc]simplify: iters left: 3 (12 enodes) 1538408766.001 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538408766.001 * [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))) 1538408766.001 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1538408766.001 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1538408766.001 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1538408766.002 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1538408766.003 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538408766.004 * * [misc]simplify: iters left: 6 (14 enodes) 1538408766.011 * * [misc]simplify: iters left: 5 (26 enodes) 1538408766.024 * * [misc]simplify: iters left: 4 (53 enodes) 1538408766.058 * * [misc]simplify: iters left: 3 (137 enodes) 1538408766.151 * * [misc]simplify: iters left: 2 (487 enodes) 1538408767.120 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1538408767.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1538408767.120 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1538408767.120 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538408767.122 * * [misc]simplify: iters left: 6 (14 enodes) 1538408767.126 * * [misc]simplify: iters left: 5 (26 enodes) 1538408767.136 * * [misc]simplify: iters left: 4 (53 enodes) 1538408767.171 * * [misc]simplify: iters left: 3 (137 enodes) 1538408767.295 * * [misc]simplify: iters left: 2 (487 enodes) 1538408768.357 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1538408768.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1538408768.358 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1538408768.358 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538408768.360 * * [misc]simplify: iters left: 6 (14 enodes) 1538408768.366 * * [misc]simplify: iters left: 5 (24 enodes) 1538408768.378 * * [misc]simplify: iters left: 4 (42 enodes) 1538408768.397 * * [misc]simplify: iters left: 3 (71 enodes) 1538408768.432 * * [misc]simplify: iters left: 2 (208 enodes) 1538408768.855 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538408768.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538408768.855 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1538408768.855 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1538408768.855 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1538408768.855 * [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))) 1538408768.857 * * [misc]simplify: iters left: 6 (16 enodes) 1538408768.866 * * [misc]simplify: iters left: 5 (31 enodes) 1538408768.881 * * [misc]simplify: iters left: 4 (67 enodes) 1538408768.911 * * [misc]simplify: iters left: 3 (124 enodes) 1538408768.946 * * [misc]simplify: iters left: 2 (195 enodes) 1538408769.017 * * [misc]simplify: iters left: 1 (309 enodes) 1538408769.210 * [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)))) 1538408769.210 * [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)))))) 1538408769.210 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1538408769.210 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1538408769.210 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1538408769.210 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1538408769.210 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1538408769.211 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.211 * * [misc]simplify: iters left: 6 (12 enodes) 1538408769.214 * * [misc]simplify: iters left: 5 (19 enodes) 1538408769.218 * * [misc]simplify: iters left: 4 (25 enodes) 1538408769.222 * * [misc]simplify: iters left: 3 (26 enodes) 1538408769.229 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.229 * [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))))) 1538408769.229 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538408769.230 * * [misc]simplify: iters left: 6 (12 enodes) 1538408769.235 * * [misc]simplify: iters left: 5 (18 enodes) 1538408769.241 * * [misc]simplify: iters left: 4 (24 enodes) 1538408769.247 * * [misc]simplify: iters left: 3 (25 enodes) 1538408769.254 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538408769.255 * [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))))) 1538408769.255 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1538408769.255 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538408769.256 * * [misc]simplify: iters left: 6 (11 enodes) 1538408769.260 * * [misc]simplify: iters left: 5 (16 enodes) 1538408769.265 * * [misc]simplify: iters left: 4 (22 enodes) 1538408769.271 * * [misc]simplify: iters left: 3 (24 enodes) 1538408769.279 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538408769.279 * [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))))) 1538408769.279 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538408769.280 * * [misc]simplify: iters left: 6 (12 enodes) 1538408769.284 * * [misc]simplify: iters left: 5 (18 enodes) 1538408769.290 * * [misc]simplify: iters left: 4 (24 enodes) 1538408769.297 * * [misc]simplify: iters left: 3 (25 enodes) 1538408769.302 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538408769.302 * [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))))) 1538408769.302 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1538408769.303 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538408769.303 * * [misc]simplify: iters left: 6 (9 enodes) 1538408769.305 * * [misc]simplify: iters left: 5 (16 enodes) 1538408769.310 * * [misc]simplify: iters left: 4 (24 enodes) 1538408769.314 * * [misc]simplify: iters left: 3 (26 enodes) 1538408769.318 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538408769.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538408769.318 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538408769.319 * * [misc]simplify: iters left: 6 (11 enodes) 1538408769.321 * * [misc]simplify: iters left: 5 (17 enodes) 1538408769.324 * * [misc]simplify: iters left: 4 (23 enodes) 1538408769.328 * * [misc]simplify: iters left: 3 (24 enodes) 1538408769.332 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538408769.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538408769.332 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1538408769.333 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.333 * * [misc]simplify: iters left: 6 (12 enodes) 1538408769.336 * * [misc]simplify: iters left: 5 (19 enodes) 1538408769.340 * * [misc]simplify: iters left: 4 (25 enodes) 1538408769.344 * * [misc]simplify: iters left: 3 (26 enodes) 1538408769.353 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.353 * [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))))) 1538408769.354 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538408769.355 * * [misc]simplify: iters left: 6 (12 enodes) 1538408769.360 * * [misc]simplify: iters left: 5 (18 enodes) 1538408769.367 * * [misc]simplify: iters left: 4 (24 enodes) 1538408769.374 * * [misc]simplify: iters left: 3 (25 enodes) 1538408769.383 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538408769.383 * [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))))) 1538408769.383 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1538408769.383 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538408769.384 * * [misc]simplify: iters left: 6 (11 enodes) 1538408769.389 * * [misc]simplify: iters left: 5 (16 enodes) 1538408769.395 * * [misc]simplify: iters left: 4 (22 enodes) 1538408769.403 * * [misc]simplify: iters left: 3 (24 enodes) 1538408769.414 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538408769.414 * [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))))) 1538408769.414 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538408769.415 * * [misc]simplify: iters left: 6 (12 enodes) 1538408769.420 * * [misc]simplify: iters left: 5 (18 enodes) 1538408769.427 * * [misc]simplify: iters left: 4 (24 enodes) 1538408769.431 * * [misc]simplify: iters left: 3 (25 enodes) 1538408769.435 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538408769.435 * [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))))) 1538408769.435 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1538408769.436 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538408769.436 * * [misc]simplify: iters left: 6 (9 enodes) 1538408769.438 * * [misc]simplify: iters left: 5 (16 enodes) 1538408769.442 * * [misc]simplify: iters left: 4 (24 enodes) 1538408769.447 * * [misc]simplify: iters left: 3 (26 enodes) 1538408769.451 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538408769.451 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538408769.451 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538408769.452 * * [misc]simplify: iters left: 6 (11 enodes) 1538408769.455 * * [misc]simplify: iters left: 5 (17 enodes) 1538408769.461 * * [misc]simplify: iters left: 4 (23 enodes) 1538408769.468 * * [misc]simplify: iters left: 3 (24 enodes) 1538408769.477 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538408769.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538408769.477 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1538408769.477 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.478 * * [misc]simplify: iters left: 6 (11 enodes) 1538408769.482 * * [misc]simplify: iters left: 5 (15 enodes) 1538408769.488 * * [misc]simplify: iters left: 4 (18 enodes) 1538408769.494 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.494 * [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))))) 1538408769.494 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538408769.495 * * [misc]simplify: iters left: 6 (11 enodes) 1538408769.500 * * [misc]simplify: iters left: 5 (14 enodes) 1538408769.505 * * [misc]simplify: iters left: 4 (17 enodes) 1538408769.510 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538408769.511 * [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))))) 1538408769.511 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1538408769.511 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408769.512 * * [misc]simplify: iters left: 6 (10 enodes) 1538408769.516 * * [misc]simplify: iters left: 5 (12 enodes) 1538408769.520 * * [misc]simplify: iters left: 4 (15 enodes) 1538408769.526 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408769.526 * [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))))) 1538408769.526 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408769.527 * * [misc]simplify: iters left: 6 (11 enodes) 1538408769.529 * * [misc]simplify: iters left: 5 (14 enodes) 1538408769.531 * * [misc]simplify: iters left: 4 (17 enodes) 1538408769.534 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408769.534 * [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))))) 1538408769.534 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1538408769.535 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1538408769.535 * * [misc]simplify: iters left: 6 (9 enodes) 1538408769.537 * * [misc]simplify: iters left: 5 (13 enodes) 1538408769.540 * * [misc]simplify: iters left: 4 (18 enodes) 1538408769.542 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538408769.542 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538408769.542 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538408769.543 * * [misc]simplify: iters left: 6 (10 enodes) 1538408769.545 * * [misc]simplify: iters left: 5 (13 enodes) 1538408769.547 * * [misc]simplify: iters left: 4 (16 enodes) 1538408769.550 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538408769.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538408769.550 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1538408769.551 * [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)))) 1538408769.552 * * [misc]simplify: iters left: 6 (16 enodes) 1538408769.555 * * [misc]simplify: iters left: 5 (28 enodes) 1538408769.562 * * [misc]simplify: iters left: 4 (46 enodes) 1538408769.576 * * [misc]simplify: iters left: 3 (50 enodes) 1538408769.590 * * [misc]simplify: iters left: 2 (53 enodes) 1538408769.611 * [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)))) 1538408769.611 * [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))))) 1538408769.612 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538408769.613 * * [misc]simplify: iters left: 6 (14 enodes) 1538408769.619 * * [misc]simplify: iters left: 5 (20 enodes) 1538408769.630 * * [misc]simplify: iters left: 4 (29 enodes) 1538408769.639 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.650 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538408769.650 * [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))))) 1538408769.650 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1538408769.650 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408769.652 * * [misc]simplify: iters left: 6 (15 enodes) 1538408769.658 * * [misc]simplify: iters left: 5 (23 enodes) 1538408769.667 * * [misc]simplify: iters left: 4 (34 enodes) 1538408769.677 * * [misc]simplify: iters left: 3 (37 enodes) 1538408769.687 * [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)))))) 1538408769.687 * [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))))) 1538408769.687 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408769.688 * * [misc]simplify: iters left: 6 (14 enodes) 1538408769.691 * * [misc]simplify: iters left: 5 (20 enodes) 1538408769.695 * * [misc]simplify: iters left: 4 (29 enodes) 1538408769.700 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.705 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408769.705 * [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))))) 1538408769.705 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1538408769.706 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1538408769.706 * * [misc]simplify: iters left: 6 (14 enodes) 1538408769.710 * * [misc]simplify: iters left: 5 (24 enodes) 1538408769.716 * * [misc]simplify: iters left: 4 (39 enodes) 1538408769.729 * * [misc]simplify: iters left: 3 (54 enodes) 1538408769.748 * * [misc]simplify: iters left: 2 (80 enodes) 1538408769.772 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1538408769.772 * [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)))) 1538408769.773 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538408769.774 * * [misc]simplify: iters left: 6 (13 enodes) 1538408769.779 * * [misc]simplify: iters left: 5 (19 enodes) 1538408769.787 * * [misc]simplify: iters left: 4 (28 enodes) 1538408769.796 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.807 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538408769.807 * [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)))) 1538408769.807 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1538408769.807 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.809 * * [misc]simplify: iters left: 6 (15 enodes) 1538408769.815 * * [misc]simplify: iters left: 5 (23 enodes) 1538408769.822 * * [misc]simplify: iters left: 4 (32 enodes) 1538408769.827 * * [misc]simplify: iters left: 3 (34 enodes) 1538408769.833 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.833 * [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))))) 1538408769.833 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538408769.834 * * [misc]simplify: iters left: 6 (14 enodes) 1538408769.837 * * [misc]simplify: iters left: 5 (20 enodes) 1538408769.843 * * [misc]simplify: iters left: 4 (29 enodes) 1538408769.847 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.853 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538408769.853 * [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))))) 1538408769.853 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1538408769.853 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408769.854 * * [misc]simplify: iters left: 6 (14 enodes) 1538408769.858 * * [misc]simplify: iters left: 5 (20 enodes) 1538408769.866 * * [misc]simplify: iters left: 4 (29 enodes) 1538408769.875 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.884 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408769.884 * [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))))) 1538408769.884 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408769.886 * * [misc]simplify: iters left: 6 (14 enodes) 1538408769.889 * * [misc]simplify: iters left: 5 (20 enodes) 1538408769.893 * * [misc]simplify: iters left: 4 (29 enodes) 1538408769.897 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.903 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408769.903 * [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))))) 1538408769.903 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1538408769.903 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1538408769.904 * * [misc]simplify: iters left: 6 (13 enodes) 1538408769.907 * * [misc]simplify: iters left: 5 (21 enodes) 1538408769.912 * * [misc]simplify: iters left: 4 (32 enodes) 1538408769.916 * * [misc]simplify: iters left: 3 (33 enodes) 1538408769.922 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1538408769.922 * [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)))) 1538408769.923 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538408769.924 * * [misc]simplify: iters left: 6 (13 enodes) 1538408769.932 * * [misc]simplify: iters left: 5 (19 enodes) 1538408769.939 * * [misc]simplify: iters left: 4 (28 enodes) 1538408769.948 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.958 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538408769.958 * [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)))) 1538408769.959 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1538408769.959 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408769.960 * * [misc]simplify: iters left: 6 (6 enodes) 1538408769.962 * * [misc]simplify: iters left: 5 (10 enodes) 1538408769.966 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538408769.966 * [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))))) 1538408769.966 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538408769.968 * * [misc]simplify: iters left: 6 (13 enodes) 1538408769.973 * * [misc]simplify: iters left: 5 (19 enodes) 1538408769.981 * * [misc]simplify: iters left: 4 (28 enodes) 1538408769.989 * * [misc]simplify: iters left: 3 (30 enodes) 1538408769.994 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538408769.994 * [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))))) 1538408769.994 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1538408769.994 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538408769.994 * * [misc]simplify: iters left: 4 (5 enodes) 1538408769.995 * * [misc]simplify: iters left: 3 (7 enodes) 1538408769.996 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538408769.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538408769.996 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408769.997 * * [misc]simplify: iters left: 6 (13 enodes) 1538408770.000 * * [misc]simplify: iters left: 5 (19 enodes) 1538408770.004 * * [misc]simplify: iters left: 4 (28 enodes) 1538408770.008 * * [misc]simplify: iters left: 3 (30 enodes) 1538408770.013 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408770.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538408770.013 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1538408770.013 * [enter]simplify: Simplifying (/ 1 1) 1538408770.014 * * [misc]simplify: iters left: 2 (2 enodes) 1538408770.014 * * [misc]simplify: iters left: 1 (4 enodes) 1538408770.014 * [exit]simplify: Simplified to 1 1538408770.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538408770.015 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538408770.015 * * [misc]simplify: iters left: 6 (12 enodes) 1538408770.018 * * [misc]simplify: iters left: 5 (18 enodes) 1538408770.022 * * [misc]simplify: iters left: 4 (27 enodes) 1538408770.028 * * [misc]simplify: iters left: 3 (29 enodes) 1538408770.033 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538408770.033 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538408770.033 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1538408770.033 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1538408770.033 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1538408770.033 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1538408770.033 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538408770.033 * * [misc]simplify: iters left: 2 (3 enodes) 1538408770.034 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538408770.034 * [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)))) 1538408770.034 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1538408770.034 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538408770.034 * * [misc]simplify: iters left: 2 (3 enodes) 1538408770.035 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538408770.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1538408770.035 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1538408770.035 * [enter]simplify: Simplifying (sqrt k) 1538408770.035 * * [misc]simplify: iters left: 1 (2 enodes) 1538408770.035 * [exit]simplify: Simplified to (sqrt k) 1538408770.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1538408770.035 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1538408770.036 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538408770.036 * * [misc]simplify: iters left: 5 (7 enodes) 1538408770.038 * * [misc]simplify: iters left: 4 (12 enodes) 1538408770.040 * * [misc]simplify: iters left: 3 (18 enodes) 1538408770.043 * * [misc]simplify: iters left: 2 (20 enodes) 1538408770.050 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538408770.050 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538408770.050 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1538408770.051 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538408770.051 * * [misc]simplify: iters left: 5 (7 enodes) 1538408770.055 * * [misc]simplify: iters left: 4 (12 enodes) 1538408770.060 * * [misc]simplify: iters left: 3 (18 enodes) 1538408770.066 * * [misc]simplify: iters left: 2 (20 enodes) 1538408770.073 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538408770.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538408770.073 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1538408770.074 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538408770.074 * * [misc]simplify: iters left: 5 (7 enodes) 1538408770.077 * * [misc]simplify: iters left: 4 (9 enodes) 1538408770.080 * * [misc]simplify: iters left: 3 (12 enodes) 1538408770.084 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538408770.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408770.084 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1538408770.084 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1538408770.085 * * [misc]simplify: iters left: 6 (12 enodes) 1538408770.087 * * [misc]simplify: iters left: 5 (18 enodes) 1538408770.091 * * [misc]simplify: iters left: 4 (27 enodes) 1538408770.096 * * [misc]simplify: iters left: 3 (29 enodes) 1538408770.101 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538408770.101 * [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))))))) 1538408770.101 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1538408770.101 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1538408770.101 * * [misc]simplify: iters left: 6 (11 enodes) 1538408770.104 * * [misc]simplify: iters left: 5 (17 enodes) 1538408770.108 * * [misc]simplify: iters left: 4 (26 enodes) 1538408770.112 * * [misc]simplify: iters left: 3 (27 enodes) 1538408770.118 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1538408770.118 * [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))))))) 1538408770.118 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1538408770.118 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1538408770.118 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538408770.118 * * [misc]simplify: iters left: 5 (7 enodes) 1538408770.120 * * [misc]simplify: iters left: 4 (12 enodes) 1538408770.123 * * [misc]simplify: iters left: 3 (18 enodes) 1538408770.126 * * [misc]simplify: iters left: 2 (20 enodes) 1538408770.131 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538408770.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1538408770.131 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1538408770.131 * [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))))) 1538408770.135 * * [misc]simplify: iters left: 6 (37 enodes) 1538408770.157 * * [misc]simplify: iters left: 5 (105 enodes) 1538408770.219 * * [misc]simplify: iters left: 4 (339 enodes) 1538408770.754 * [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))))) 1538408770.754 * [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))) 1538408770.754 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1538408770.754 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1538408770.756 * * [misc]simplify: iters left: 6 (15 enodes) 1538408770.767 * * [misc]simplify: iters left: 5 (33 enodes) 1538408770.783 * * [misc]simplify: iters left: 4 (64 enodes) 1538408770.817 * * [misc]simplify: iters left: 3 (171 enodes) 1538408771.025 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1538408771.026 * [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))) 1538408771.026 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1538408771.026 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1538408771.028 * * [misc]simplify: iters left: 6 (15 enodes) 1538408771.037 * * [misc]simplify: iters left: 5 (30 enodes) 1538408771.054 * * [misc]simplify: iters left: 4 (65 enodes) 1538408771.085 * * [misc]simplify: iters left: 3 (200 enodes) 1538408771.288 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1538408771.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1538408771.288 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1538408771.288 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538408771.289 * * [misc]simplify: iters left: 4 (5 enodes) 1538408771.291 * * [misc]simplify: iters left: 3 (9 enodes) 1538408771.296 * * [misc]simplify: iters left: 2 (15 enodes) 1538408771.301 * * [misc]simplify: iters left: 1 (17 enodes) 1538408771.311 * [exit]simplify: Simplified to (* (* PI n) 2) 1538408771.311 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538408771.311 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1538408771.311 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538408771.312 * * [misc]simplify: iters left: 4 (5 enodes) 1538408771.314 * * [misc]simplify: iters left: 3 (9 enodes) 1538408771.318 * * [misc]simplify: iters left: 2 (15 enodes) 1538408771.323 * * [misc]simplify: iters left: 1 (17 enodes) 1538408771.329 * [exit]simplify: Simplified to (* (* PI n) 2) 1538408771.329 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538408771.329 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1538408771.329 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538408771.330 * * [misc]simplify: iters left: 4 (5 enodes) 1538408771.332 * * [misc]simplify: iters left: 3 (9 enodes) 1538408771.336 * * [misc]simplify: iters left: 2 (15 enodes) 1538408771.338 * * [misc]simplify: iters left: 1 (17 enodes) 1538408771.341 * [exit]simplify: Simplified to (* (* PI n) 2) 1538408771.341 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538408771.341 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1538408771.341 * [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)))))))))))))))))))))) 1538408771.341 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408771.341 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1538408771.342 * [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)))))))) 1538408771.342 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408771.342 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1538408771.342 * [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))))))))))) 1538408771.342 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408771.342 * * * [misc]progress: adding candidates to table 1538408772.848 * * [misc]progress: iteration 2 / 4 1538408772.848 * * * [misc]progress: picking best candidate 1538408772.949 * * * * [misc]pick: Picked # 1538408772.949 * * * [misc]progress: localizing error 1538408773.001 * * * [misc]progress: generating rewritten candidates 1538408773.001 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1538408773.011 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1538408773.066 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1538408773.111 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1538408773.124 * * * [misc]progress: generating series expansions 1538408773.124 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1538408773.124 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1538408773.124 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1538408773.124 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408773.124 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408773.124 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408773.124 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.124 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.124 * [misc]taylor: Taking taylor expansion of k in k 1538408773.124 * [misc]backup-simplify: Simplify 0 into 0 1538408773.124 * [misc]backup-simplify: Simplify 1 into 1 1538408773.124 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.124 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.124 * [misc]backup-simplify: Simplify PI into PI 1538408773.125 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.125 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.125 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.125 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.125 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.126 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408773.126 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408773.126 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408773.126 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408773.126 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.126 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.126 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.126 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.126 * [misc]taylor: Taking taylor expansion of k in k 1538408773.126 * [misc]backup-simplify: Simplify 0 into 0 1538408773.126 * [misc]backup-simplify: Simplify 1 into 1 1538408773.126 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.126 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.126 * [misc]backup-simplify: Simplify PI into PI 1538408773.126 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.126 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.127 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.127 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.127 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.127 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408773.128 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1538408773.129 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408773.130 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408773.130 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.130 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.130 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408773.133 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538408773.134 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1538408773.137 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408773.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.137 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538408773.142 * [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))) 1538408773.143 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538408773.146 * [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)))) 1538408773.146 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.146 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1538408773.146 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.146 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408773.146 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408773.146 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.146 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.146 * [misc]taylor: Taking taylor expansion of k in k 1538408773.146 * [misc]backup-simplify: Simplify 0 into 0 1538408773.146 * [misc]backup-simplify: Simplify 1 into 1 1538408773.146 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.146 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.146 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.146 * [misc]backup-simplify: Simplify PI into PI 1538408773.147 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.147 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.147 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.147 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.147 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408773.148 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.148 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.148 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408773.148 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408773.148 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.148 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.148 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.148 * [misc]taylor: Taking taylor expansion of k in k 1538408773.148 * [misc]backup-simplify: Simplify 0 into 0 1538408773.148 * [misc]backup-simplify: Simplify 1 into 1 1538408773.148 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.149 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.149 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.149 * [misc]backup-simplify: Simplify PI into PI 1538408773.149 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.149 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.149 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.149 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.150 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408773.150 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.151 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.151 * [misc]backup-simplify: Simplify 0 into 0 1538408773.151 * [misc]backup-simplify: Simplify 0 into 0 1538408773.151 * [misc]backup-simplify: Simplify 0 into 0 1538408773.151 * [misc]backup-simplify: Simplify 0 into 0 1538408773.151 * [misc]backup-simplify: Simplify 0 into 0 1538408773.151 * [misc]backup-simplify: Simplify 0 into 0 1538408773.151 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1538408773.151 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.151 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1538408773.151 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.151 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408773.152 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408773.152 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.152 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.152 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.152 * [misc]taylor: Taking taylor expansion of k in k 1538408773.152 * [misc]backup-simplify: Simplify 0 into 0 1538408773.152 * [misc]backup-simplify: Simplify 1 into 1 1538408773.152 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.152 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.152 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.152 * [misc]backup-simplify: Simplify PI into PI 1538408773.153 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.153 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.153 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.154 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.154 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.154 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.154 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408773.154 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408773.155 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.155 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.155 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.155 * [misc]taylor: Taking taylor expansion of k in k 1538408773.155 * [misc]backup-simplify: Simplify 0 into 0 1538408773.155 * [misc]backup-simplify: Simplify 1 into 1 1538408773.155 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.155 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.155 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.155 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.155 * [misc]backup-simplify: Simplify PI into PI 1538408773.155 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.156 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.156 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.156 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.157 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.157 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.157 * [misc]backup-simplify: Simplify 0 into 0 1538408773.157 * [misc]backup-simplify: Simplify 0 into 0 1538408773.157 * [misc]backup-simplify: Simplify 0 into 0 1538408773.157 * [misc]backup-simplify: Simplify 0 into 0 1538408773.157 * [misc]backup-simplify: Simplify 0 into 0 1538408773.157 * [misc]backup-simplify: Simplify 0 into 0 1538408773.158 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1538408773.158 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1538408773.158 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1538408773.158 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1538408773.158 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1538408773.158 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538408773.158 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408773.158 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408773.158 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408773.159 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408773.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.159 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408773.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.159 * [misc]taylor: Taking taylor expansion of k in n 1538408773.159 * [misc]backup-simplify: Simplify k into k 1538408773.159 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.159 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.159 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.159 * [misc]backup-simplify: Simplify 2 into 2 1538408773.159 * [misc]taylor: Taking taylor expansion of n in n 1538408773.159 * [misc]backup-simplify: Simplify 0 into 0 1538408773.159 * [misc]backup-simplify: Simplify 1 into 1 1538408773.159 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.159 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.159 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.160 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408773.160 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408773.160 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408773.160 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.160 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408773.161 * [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)))) 1538408773.161 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538408773.161 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538408773.161 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538408773.161 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408773.161 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.161 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408773.161 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.161 * [misc]taylor: Taking taylor expansion of k in n 1538408773.161 * [misc]backup-simplify: Simplify k into k 1538408773.161 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.161 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.161 * [misc]backup-simplify: Simplify PI into PI 1538408773.161 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.162 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408773.162 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408773.162 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408773.162 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538408773.163 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538408773.163 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538408773.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.163 * [misc]taylor: Taking taylor expansion of k in n 1538408773.163 * [misc]backup-simplify: Simplify k into k 1538408773.163 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.163 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538408773.163 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.163 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538408773.163 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538408773.163 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538408773.163 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408773.163 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408773.163 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408773.163 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.163 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.164 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.164 * [misc]taylor: Taking taylor expansion of k in k 1538408773.164 * [misc]backup-simplify: Simplify 0 into 0 1538408773.164 * [misc]backup-simplify: Simplify 1 into 1 1538408773.164 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408773.164 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408773.164 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.164 * [misc]backup-simplify: Simplify 2 into 2 1538408773.164 * [misc]taylor: Taking taylor expansion of n in k 1538408773.164 * [misc]backup-simplify: Simplify n into n 1538408773.164 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408773.164 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408773.164 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.164 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.164 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.165 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408773.165 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408773.165 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408773.165 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408773.165 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408773.165 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.165 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.165 * [misc]taylor: Taking taylor expansion of k in k 1538408773.165 * [misc]backup-simplify: Simplify 0 into 0 1538408773.165 * [misc]backup-simplify: Simplify 1 into 1 1538408773.165 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.165 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.165 * [misc]backup-simplify: Simplify PI into PI 1538408773.165 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.166 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.166 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.166 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.166 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.167 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408773.167 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408773.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.167 * [misc]taylor: Taking taylor expansion of k in k 1538408773.167 * [misc]backup-simplify: Simplify 0 into 0 1538408773.167 * [misc]backup-simplify: Simplify 1 into 1 1538408773.168 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.168 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.168 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.168 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538408773.168 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538408773.168 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408773.168 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408773.168 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408773.168 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.169 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.169 * [misc]taylor: Taking taylor expansion of k in k 1538408773.169 * [misc]backup-simplify: Simplify 0 into 0 1538408773.169 * [misc]backup-simplify: Simplify 1 into 1 1538408773.169 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408773.169 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408773.169 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.169 * [misc]backup-simplify: Simplify 2 into 2 1538408773.169 * [misc]taylor: Taking taylor expansion of n in k 1538408773.169 * [misc]backup-simplify: Simplify n into n 1538408773.169 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408773.169 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408773.169 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.169 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.170 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.170 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408773.170 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408773.170 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408773.170 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408773.170 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408773.170 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.170 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.170 * [misc]taylor: Taking taylor expansion of k in k 1538408773.170 * [misc]backup-simplify: Simplify 0 into 0 1538408773.170 * [misc]backup-simplify: Simplify 1 into 1 1538408773.170 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.170 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.170 * [misc]backup-simplify: Simplify PI into PI 1538408773.171 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.171 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.171 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.171 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.172 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.173 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408773.173 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408773.173 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.173 * [misc]taylor: Taking taylor expansion of k in k 1538408773.173 * [misc]backup-simplify: Simplify 0 into 0 1538408773.173 * [misc]backup-simplify: Simplify 1 into 1 1538408773.173 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.173 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.174 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.174 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1538408773.175 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1538408773.175 * [misc]taylor: Taking taylor expansion of 0 in n 1538408773.175 * [misc]backup-simplify: Simplify 0 into 0 1538408773.175 * [misc]backup-simplify: Simplify 0 into 0 1538408773.177 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408773.177 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408773.177 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.177 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.177 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408773.180 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538408773.180 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538408773.180 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538408773.181 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408773.181 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.181 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538408773.181 * [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)))) 1538408773.183 * [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)))))) 1538408773.184 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1538408773.184 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1538408773.184 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538408773.184 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.184 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.184 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538408773.184 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.184 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.184 * [misc]backup-simplify: Simplify 2 into 2 1538408773.184 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.184 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.184 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408773.184 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408773.184 * [misc]taylor: Taking taylor expansion of n in n 1538408773.184 * [misc]backup-simplify: Simplify 0 into 0 1538408773.184 * [misc]backup-simplify: Simplify 1 into 1 1538408773.184 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.184 * [misc]backup-simplify: Simplify PI into PI 1538408773.184 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408773.185 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408773.185 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.185 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.185 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408773.185 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.186 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.186 * [misc]backup-simplify: Simplify 0 into 0 1538408773.186 * [misc]backup-simplify: Simplify 0 into 0 1538408773.186 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408773.186 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408773.189 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408773.190 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.190 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.190 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.191 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538408773.194 * [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))) 1538408773.194 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538408773.196 * [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 1538408773.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.196 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.196 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538408773.197 * [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))) 1538408773.204 * [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))))))) 1538408773.209 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1538408773.209 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538408773.209 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538408773.209 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538408773.209 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.209 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.209 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538408773.209 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538408773.210 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.210 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.210 * [misc]backup-simplify: Simplify 2 into 2 1538408773.210 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.210 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.210 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.210 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.210 * [misc]backup-simplify: Simplify PI into PI 1538408773.210 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.210 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408773.210 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408773.210 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.210 * [misc]backup-simplify: Simplify PI into PI 1538408773.210 * [misc]taylor: Taking taylor expansion of n in n 1538408773.210 * [misc]backup-simplify: Simplify 0 into 0 1538408773.210 * [misc]backup-simplify: Simplify 1 into 1 1538408773.210 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408773.211 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408773.211 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.211 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.211 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538408773.211 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538408773.211 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538408773.211 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.211 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.211 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538408773.211 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.211 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.211 * [misc]backup-simplify: Simplify 2 into 2 1538408773.212 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.212 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.212 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408773.212 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408773.212 * [misc]taylor: Taking taylor expansion of n in n 1538408773.212 * [misc]backup-simplify: Simplify 0 into 0 1538408773.212 * [misc]backup-simplify: Simplify 1 into 1 1538408773.212 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.212 * [misc]backup-simplify: Simplify PI into PI 1538408773.212 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408773.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408773.213 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.213 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.213 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538408773.213 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538408773.213 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.213 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.213 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538408773.213 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538408773.213 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.213 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.213 * [misc]backup-simplify: Simplify 2 into 2 1538408773.213 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.213 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.213 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.213 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.213 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.213 * [misc]backup-simplify: Simplify 2 into 2 1538408773.214 * [misc]taylor: Taking taylor expansion of n in n 1538408773.214 * [misc]backup-simplify: Simplify 0 into 0 1538408773.214 * [misc]backup-simplify: Simplify 1 into 1 1538408773.214 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.214 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.214 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.214 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408773.214 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408773.214 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.214 * [misc]backup-simplify: Simplify PI into PI 1538408773.214 * [misc]taylor: Taking taylor expansion of n in n 1538408773.214 * [misc]backup-simplify: Simplify 0 into 0 1538408773.214 * [misc]backup-simplify: Simplify 1 into 1 1538408773.214 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408773.215 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408773.215 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.215 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.216 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538408773.216 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538408773.216 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.216 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408773.216 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.217 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.217 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538408773.217 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538408773.217 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.217 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.218 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.218 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.218 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.218 * [misc]backup-simplify: Simplify 0 into 0 1538408773.219 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408773.220 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408773.221 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408773.221 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408773.221 * [misc]backup-simplify: Simplify 0 into 0 1538408773.222 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.222 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408773.228 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408773.228 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408773.229 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.231 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408773.239 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1538408773.240 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538408773.243 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1538408773.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408773.244 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.244 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538408773.247 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1538408773.258 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1538408773.276 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1538408773.276 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1538408773.276 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1538408773.276 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538408773.276 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.276 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.276 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538408773.276 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538408773.276 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.276 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.276 * [misc]backup-simplify: Simplify 2 into 2 1538408773.276 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.277 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.277 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.277 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.277 * [misc]backup-simplify: Simplify PI into PI 1538408773.277 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.277 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408773.277 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408773.277 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.277 * [misc]backup-simplify: Simplify PI into PI 1538408773.277 * [misc]taylor: Taking taylor expansion of n in n 1538408773.277 * [misc]backup-simplify: Simplify 0 into 0 1538408773.277 * [misc]backup-simplify: Simplify 1 into 1 1538408773.277 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408773.278 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408773.278 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.278 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.278 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1538408773.278 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1538408773.278 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1538408773.278 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.278 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.278 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1538408773.278 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1538408773.278 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.278 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.278 * [misc]backup-simplify: Simplify 2 into 2 1538408773.278 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.279 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.279 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538408773.279 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.279 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.279 * [misc]backup-simplify: Simplify PI into PI 1538408773.279 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.279 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408773.279 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408773.279 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.279 * [misc]backup-simplify: Simplify PI into PI 1538408773.279 * [misc]taylor: Taking taylor expansion of n in n 1538408773.279 * [misc]backup-simplify: Simplify 0 into 0 1538408773.279 * [misc]backup-simplify: Simplify 1 into 1 1538408773.279 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408773.280 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408773.280 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.280 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.280 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1538408773.280 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1538408773.280 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1538408773.280 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.280 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.280 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1538408773.280 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1538408773.280 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.280 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.280 * [misc]backup-simplify: Simplify 2 into 2 1538408773.280 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.281 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.281 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538408773.281 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.281 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.281 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.281 * [misc]backup-simplify: Simplify 2 into 2 1538408773.281 * [misc]taylor: Taking taylor expansion of n in n 1538408773.281 * [misc]backup-simplify: Simplify 0 into 0 1538408773.281 * [misc]backup-simplify: Simplify 1 into 1 1538408773.281 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.281 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.281 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.281 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.281 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408773.281 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408773.281 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.281 * [misc]backup-simplify: Simplify PI into PI 1538408773.281 * [misc]taylor: Taking taylor expansion of n in n 1538408773.281 * [misc]backup-simplify: Simplify 0 into 0 1538408773.281 * [misc]backup-simplify: Simplify 1 into 1 1538408773.282 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408773.282 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408773.282 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.282 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.282 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.283 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.283 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.283 * [misc]backup-simplify: Simplify 2 into 2 1538408773.283 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.283 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.283 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.283 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.283 * [misc]backup-simplify: Simplify 2 into 2 1538408773.283 * [misc]taylor: Taking taylor expansion of n in n 1538408773.283 * [misc]backup-simplify: Simplify 0 into 0 1538408773.283 * [misc]backup-simplify: Simplify 1 into 1 1538408773.283 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.284 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.284 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.284 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.284 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.284 * [misc]backup-simplify: Simplify PI into PI 1538408773.284 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.284 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408773.284 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408773.284 * [misc]taylor: Taking taylor expansion of n in n 1538408773.284 * [misc]backup-simplify: Simplify 0 into 0 1538408773.284 * [misc]backup-simplify: Simplify 1 into 1 1538408773.284 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.284 * [misc]backup-simplify: Simplify PI into PI 1538408773.284 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408773.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408773.285 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.285 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.285 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538408773.285 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538408773.285 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538408773.285 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.285 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.285 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538408773.285 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.285 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.285 * [misc]backup-simplify: Simplify 2 into 2 1538408773.285 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.286 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.286 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408773.286 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408773.286 * [misc]taylor: Taking taylor expansion of n in n 1538408773.286 * [misc]backup-simplify: Simplify 0 into 0 1538408773.286 * [misc]backup-simplify: Simplify 1 into 1 1538408773.286 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.286 * [misc]backup-simplify: Simplify PI into PI 1538408773.286 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408773.286 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408773.286 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.287 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.287 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538408773.287 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538408773.287 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.287 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.287 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538408773.287 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538408773.287 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.287 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.287 * [misc]backup-simplify: Simplify 2 into 2 1538408773.287 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.287 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.287 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.287 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.287 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.287 * [misc]backup-simplify: Simplify 2 into 2 1538408773.287 * [misc]taylor: Taking taylor expansion of n in n 1538408773.287 * [misc]backup-simplify: Simplify 0 into 0 1538408773.287 * [misc]backup-simplify: Simplify 1 into 1 1538408773.287 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.288 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.288 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.288 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408773.288 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408773.288 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.288 * [misc]backup-simplify: Simplify PI into PI 1538408773.288 * [misc]taylor: Taking taylor expansion of n in n 1538408773.288 * [misc]backup-simplify: Simplify 0 into 0 1538408773.288 * [misc]backup-simplify: Simplify 1 into 1 1538408773.288 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408773.289 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408773.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.289 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408773.290 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538408773.290 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538408773.290 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.291 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538408773.292 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1538408773.293 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1538408773.293 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.293 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.294 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.294 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538408773.294 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1538408773.295 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1538408773.295 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.295 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.296 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1538408773.296 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1538408773.297 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1538408773.297 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.297 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408773.297 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.297 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.297 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538408773.298 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538408773.298 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408773.298 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.298 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.298 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.299 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.299 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.299 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.299 * [misc]backup-simplify: Simplify 0 into 0 1538408773.304 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408773.304 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1538408773.306 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538408773.307 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538408773.308 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408773.310 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408773.310 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.311 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408773.312 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.312 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1538408773.313 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538408773.316 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538408773.319 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538408773.323 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538408773.328 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538408773.334 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538408773.341 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538408773.346 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538408773.347 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538408773.348 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1538408773.349 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408773.350 * [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)))) 1538408773.353 * [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)))) 1538408773.355 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538408773.356 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538408773.364 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538408773.364 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1538408773.364 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1538408773.364 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1538408773.364 * [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 1538408773.364 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.364 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408773.364 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408773.364 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.364 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.364 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.364 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.364 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.364 * [misc]taylor: Taking taylor expansion of k in n 1538408773.364 * [misc]backup-simplify: Simplify k into k 1538408773.364 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.364 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.364 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.364 * [misc]backup-simplify: Simplify PI into PI 1538408773.365 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.365 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.365 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.365 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.365 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408773.365 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.365 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.365 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.365 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.365 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.365 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.366 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.366 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.366 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.366 * [misc]taylor: Taking taylor expansion of k in n 1538408773.366 * [misc]backup-simplify: Simplify k into k 1538408773.366 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.366 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.366 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.366 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.366 * [misc]backup-simplify: Simplify 2 into 2 1538408773.366 * [misc]taylor: Taking taylor expansion of n in n 1538408773.366 * [misc]backup-simplify: Simplify 0 into 0 1538408773.366 * [misc]backup-simplify: Simplify 1 into 1 1538408773.366 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.366 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.366 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.366 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.366 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.366 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.367 * [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))) 1538408773.367 * [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)))) 1538408773.367 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538408773.367 * [misc]taylor: Taking taylor expansion of k in n 1538408773.367 * [misc]backup-simplify: Simplify k into k 1538408773.367 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538408773.367 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538408773.367 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538408773.367 * [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 1538408773.367 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.367 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408773.367 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408773.367 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.367 * [misc]taylor: Taking taylor expansion of k in k 1538408773.367 * [misc]backup-simplify: Simplify 0 into 0 1538408773.367 * [misc]backup-simplify: Simplify 1 into 1 1538408773.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.367 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.367 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.368 * [misc]backup-simplify: Simplify PI into PI 1538408773.368 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.368 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.368 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.368 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.369 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408773.369 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.369 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.369 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408773.369 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408773.369 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.369 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.370 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.370 * [misc]taylor: Taking taylor expansion of k in k 1538408773.370 * [misc]backup-simplify: Simplify 0 into 0 1538408773.370 * [misc]backup-simplify: Simplify 1 into 1 1538408773.370 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.370 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408773.370 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408773.370 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.370 * [misc]backup-simplify: Simplify 2 into 2 1538408773.370 * [misc]taylor: Taking taylor expansion of n in k 1538408773.370 * [misc]backup-simplify: Simplify n into n 1538408773.370 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408773.370 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408773.370 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.370 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.371 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.371 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408773.371 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.371 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408773.371 * [misc]taylor: Taking taylor expansion of k in k 1538408773.371 * [misc]backup-simplify: Simplify 0 into 0 1538408773.371 * [misc]backup-simplify: Simplify 1 into 1 1538408773.371 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.372 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.372 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538408773.372 * [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 1538408773.372 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.372 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408773.372 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408773.372 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.372 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.372 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.372 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.372 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.372 * [misc]taylor: Taking taylor expansion of k in k 1538408773.372 * [misc]backup-simplify: Simplify 0 into 0 1538408773.372 * [misc]backup-simplify: Simplify 1 into 1 1538408773.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.372 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.372 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.372 * [misc]backup-simplify: Simplify PI into PI 1538408773.373 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.373 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.373 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.373 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.374 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408773.374 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.374 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.374 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408773.374 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408773.374 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.374 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.375 * [misc]taylor: Taking taylor expansion of k in k 1538408773.375 * [misc]backup-simplify: Simplify 0 into 0 1538408773.375 * [misc]backup-simplify: Simplify 1 into 1 1538408773.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.375 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408773.375 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408773.375 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.375 * [misc]backup-simplify: Simplify 2 into 2 1538408773.375 * [misc]taylor: Taking taylor expansion of n in k 1538408773.375 * [misc]backup-simplify: Simplify n into n 1538408773.375 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408773.375 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408773.375 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.375 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.376 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.376 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408773.376 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.376 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408773.376 * [misc]taylor: Taking taylor expansion of k in k 1538408773.376 * [misc]backup-simplify: Simplify 0 into 0 1538408773.376 * [misc]backup-simplify: Simplify 1 into 1 1538408773.376 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.377 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.377 * [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))))) 1538408773.377 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538408773.377 * [misc]taylor: Taking taylor expansion of 0 in n 1538408773.377 * [misc]backup-simplify: Simplify 0 into 0 1538408773.377 * [misc]backup-simplify: Simplify 0 into 0 1538408773.378 * [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 1538408773.379 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538408773.379 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.379 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.379 * [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 1538408773.379 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.379 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.379 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of k in n 1538408773.379 * [misc]backup-simplify: Simplify k into k 1538408773.379 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.379 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.379 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.379 * [misc]backup-simplify: Simplify PI into PI 1538408773.380 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.380 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.380 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.380 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.380 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408773.380 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.380 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.380 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.380 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.380 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.380 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.380 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.380 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.380 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.380 * [misc]taylor: Taking taylor expansion of k in n 1538408773.380 * [misc]backup-simplify: Simplify k into k 1538408773.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.381 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.381 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.381 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.381 * [misc]backup-simplify: Simplify 2 into 2 1538408773.381 * [misc]taylor: Taking taylor expansion of n in n 1538408773.381 * [misc]backup-simplify: Simplify 0 into 0 1538408773.381 * [misc]backup-simplify: Simplify 1 into 1 1538408773.381 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.381 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.381 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.381 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.381 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.381 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.381 * [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))) 1538408773.382 * [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)))) 1538408773.382 * [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))))) 1538408773.382 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538408773.383 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408773.383 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408773.383 * [misc]backup-simplify: Simplify 0 into 0 1538408773.384 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408773.384 * [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 1538408773.385 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538408773.385 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.385 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.385 * [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 1538408773.385 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of k in n 1538408773.385 * [misc]backup-simplify: Simplify k into k 1538408773.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.385 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.385 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.385 * [misc]backup-simplify: Simplify PI into PI 1538408773.385 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.385 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.385 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.385 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.386 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408773.386 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.386 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.386 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of k in n 1538408773.386 * [misc]backup-simplify: Simplify k into k 1538408773.386 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.386 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.386 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.386 * [misc]backup-simplify: Simplify 2 into 2 1538408773.386 * [misc]taylor: Taking taylor expansion of n in n 1538408773.386 * [misc]backup-simplify: Simplify 0 into 0 1538408773.386 * [misc]backup-simplify: Simplify 1 into 1 1538408773.386 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.386 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.387 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.387 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.387 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.387 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.387 * [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))) 1538408773.387 * [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)))) 1538408773.388 * [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))))) 1538408773.388 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538408773.388 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408773.389 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408773.389 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408773.390 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408773.390 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.391 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.391 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.391 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.391 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538408773.392 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.394 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408773.394 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.394 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.395 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.395 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538408773.396 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.396 * [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 1538408773.397 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538408773.397 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.397 * [misc]backup-simplify: Simplify 0 into 0 1538408773.397 * [misc]backup-simplify: Simplify 0 into 0 1538408773.398 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408773.398 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538408773.399 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538408773.399 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.399 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.399 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.399 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.399 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of k in n 1538408773.399 * [misc]backup-simplify: Simplify k into k 1538408773.399 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.399 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.399 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.399 * [misc]backup-simplify: Simplify PI into PI 1538408773.399 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.399 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.399 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.400 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.400 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408773.400 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.400 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.401 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.401 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.401 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.401 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.401 * [misc]taylor: Taking taylor expansion of k in n 1538408773.401 * [misc]backup-simplify: Simplify k into k 1538408773.401 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.401 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.401 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.401 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.401 * [misc]backup-simplify: Simplify 2 into 2 1538408773.401 * [misc]taylor: Taking taylor expansion of n in n 1538408773.401 * [misc]backup-simplify: Simplify 0 into 0 1538408773.401 * [misc]backup-simplify: Simplify 1 into 1 1538408773.401 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.401 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.401 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.402 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.402 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.402 * [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))) 1538408773.403 * [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)))) 1538408773.403 * [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))))) 1538408773.404 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538408773.404 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408773.405 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408773.410 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538408773.411 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538408773.411 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1538408773.411 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1538408773.411 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408773.411 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.411 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.412 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.412 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.412 * [misc]taylor: Taking taylor expansion of k in n 1538408773.412 * [misc]backup-simplify: Simplify k into k 1538408773.412 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.412 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.412 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.412 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.412 * [misc]backup-simplify: Simplify -2 into -2 1538408773.412 * [misc]taylor: Taking taylor expansion of n in n 1538408773.412 * [misc]backup-simplify: Simplify 0 into 0 1538408773.412 * [misc]backup-simplify: Simplify 1 into 1 1538408773.412 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.413 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.413 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.413 * [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))) 1538408773.414 * [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)))) 1538408773.414 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.414 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408773.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408773.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.414 * [misc]taylor: Taking taylor expansion of k in n 1538408773.414 * [misc]backup-simplify: Simplify k into k 1538408773.414 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.414 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.414 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.414 * [misc]backup-simplify: Simplify PI into PI 1538408773.415 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.415 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.415 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.416 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408773.416 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.416 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408773.416 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408773.416 * [misc]taylor: Taking taylor expansion of -1 in n 1538408773.416 * [misc]backup-simplify: Simplify -1 into -1 1538408773.416 * [misc]taylor: Taking taylor expansion of k in n 1538408773.416 * [misc]backup-simplify: Simplify k into k 1538408773.416 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408773.416 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408773.416 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408773.417 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408773.417 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538408773.418 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538408773.418 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538408773.418 * [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 1538408773.418 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.418 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408773.418 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408773.418 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.418 * [misc]taylor: Taking taylor expansion of k in k 1538408773.418 * [misc]backup-simplify: Simplify 0 into 0 1538408773.418 * [misc]backup-simplify: Simplify 1 into 1 1538408773.418 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.419 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408773.419 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408773.419 * [misc]taylor: Taking taylor expansion of -2 in k 1538408773.419 * [misc]backup-simplify: Simplify -2 into -2 1538408773.419 * [misc]taylor: Taking taylor expansion of n in k 1538408773.419 * [misc]backup-simplify: Simplify n into n 1538408773.419 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408773.419 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408773.419 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.419 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.419 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408773.419 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.420 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408773.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408773.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.420 * [misc]taylor: Taking taylor expansion of k in k 1538408773.420 * [misc]backup-simplify: Simplify 0 into 0 1538408773.420 * [misc]backup-simplify: Simplify 1 into 1 1538408773.420 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.420 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.420 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.420 * [misc]backup-simplify: Simplify PI into PI 1538408773.421 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.421 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.421 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.422 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.422 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.422 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408773.422 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408773.422 * [misc]taylor: Taking taylor expansion of -1 in k 1538408773.422 * [misc]backup-simplify: Simplify -1 into -1 1538408773.422 * [misc]taylor: Taking taylor expansion of k in k 1538408773.422 * [misc]backup-simplify: Simplify 0 into 0 1538408773.422 * [misc]backup-simplify: Simplify 1 into 1 1538408773.423 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408773.423 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.423 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408773.424 * [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))) 1538408773.424 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538408773.424 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538408773.424 * [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 1538408773.424 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.424 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408773.424 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408773.424 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.424 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.424 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.424 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.424 * [misc]taylor: Taking taylor expansion of k in k 1538408773.424 * [misc]backup-simplify: Simplify 0 into 0 1538408773.425 * [misc]backup-simplify: Simplify 1 into 1 1538408773.425 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.425 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.425 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408773.425 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408773.425 * [misc]taylor: Taking taylor expansion of -2 in k 1538408773.425 * [misc]backup-simplify: Simplify -2 into -2 1538408773.425 * [misc]taylor: Taking taylor expansion of n in k 1538408773.425 * [misc]backup-simplify: Simplify n into n 1538408773.425 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408773.425 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408773.425 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.426 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408773.426 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.426 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.426 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408773.426 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408773.426 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.426 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.426 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.426 * [misc]taylor: Taking taylor expansion of k in k 1538408773.426 * [misc]backup-simplify: Simplify 0 into 0 1538408773.426 * [misc]backup-simplify: Simplify 1 into 1 1538408773.426 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.426 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408773.426 * [misc]taylor: Taking taylor expansion of PI in k 1538408773.427 * [misc]backup-simplify: Simplify PI into PI 1538408773.427 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.427 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.427 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.428 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408773.428 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.428 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408773.428 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408773.428 * [misc]taylor: Taking taylor expansion of -1 in k 1538408773.428 * [misc]backup-simplify: Simplify -1 into -1 1538408773.428 * [misc]taylor: Taking taylor expansion of k in k 1538408773.428 * [misc]backup-simplify: Simplify 0 into 0 1538408773.428 * [misc]backup-simplify: Simplify 1 into 1 1538408773.429 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408773.429 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.429 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408773.430 * [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))) 1538408773.430 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538408773.430 * [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 1538408773.430 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.430 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.430 * [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 1538408773.430 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.430 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.430 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.430 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.431 * [misc]taylor: Taking taylor expansion of k in n 1538408773.431 * [misc]backup-simplify: Simplify k into k 1538408773.431 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.431 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.431 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.431 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.431 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.431 * [misc]backup-simplify: Simplify -2 into -2 1538408773.431 * [misc]taylor: Taking taylor expansion of n in n 1538408773.431 * [misc]backup-simplify: Simplify 0 into 0 1538408773.431 * [misc]backup-simplify: Simplify 1 into 1 1538408773.431 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.431 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.431 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.431 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.432 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.432 * [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))) 1538408773.433 * [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)))) 1538408773.433 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.433 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408773.433 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408773.433 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.433 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.433 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.433 * [misc]taylor: Taking taylor expansion of k in n 1538408773.433 * [misc]backup-simplify: Simplify k into k 1538408773.433 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.433 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.433 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.433 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.433 * [misc]backup-simplify: Simplify PI into PI 1538408773.433 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.434 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.434 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.434 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408773.435 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.435 * [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))) 1538408773.436 * [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)))) 1538408773.436 * [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)))) 1538408773.437 * [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 1538408773.437 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538408773.438 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408773.439 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408773.439 * [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 1538408773.439 * [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 1538408773.439 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.439 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.439 * [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 1538408773.439 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.439 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.439 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.439 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.439 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.440 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.440 * [misc]taylor: Taking taylor expansion of k in n 1538408773.440 * [misc]backup-simplify: Simplify k into k 1538408773.440 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.440 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.440 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.440 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.440 * [misc]backup-simplify: Simplify -2 into -2 1538408773.440 * [misc]taylor: Taking taylor expansion of n in n 1538408773.440 * [misc]backup-simplify: Simplify 0 into 0 1538408773.440 * [misc]backup-simplify: Simplify 1 into 1 1538408773.440 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.440 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.440 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.441 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.441 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.441 * [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))) 1538408773.442 * [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)))) 1538408773.442 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.442 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408773.442 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408773.442 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.442 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.442 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.442 * [misc]taylor: Taking taylor expansion of k in n 1538408773.442 * [misc]backup-simplify: Simplify k into k 1538408773.442 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.442 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.442 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.442 * [misc]backup-simplify: Simplify PI into PI 1538408773.443 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.443 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.443 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.443 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408773.444 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.445 * [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))) 1538408773.445 * [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)))) 1538408773.446 * [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))))) 1538408773.446 * [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))))) 1538408773.450 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408773.450 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.450 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.450 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.451 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538408773.453 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.453 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408773.455 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408773.456 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.456 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.457 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538408773.458 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.458 * [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 1538408773.459 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538408773.459 * [misc]backup-simplify: Simplify 0 into 0 1538408773.460 * [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 1538408773.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.461 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408773.462 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408773.462 * [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 1538408773.462 * [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 1538408773.463 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.463 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.463 * [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 1538408773.463 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.463 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of k in n 1538408773.463 * [misc]backup-simplify: Simplify k into k 1538408773.463 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.463 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.463 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.463 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.463 * [misc]backup-simplify: Simplify -2 into -2 1538408773.463 * [misc]taylor: Taking taylor expansion of n in n 1538408773.463 * [misc]backup-simplify: Simplify 0 into 0 1538408773.463 * [misc]backup-simplify: Simplify 1 into 1 1538408773.463 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.464 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.464 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.464 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.464 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.464 * [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))) 1538408773.465 * [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)))) 1538408773.465 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.465 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408773.465 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408773.465 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.465 * [misc]taylor: Taking taylor expansion of k in n 1538408773.465 * [misc]backup-simplify: Simplify k into k 1538408773.465 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.465 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408773.465 * [misc]taylor: Taking taylor expansion of PI in n 1538408773.465 * [misc]backup-simplify: Simplify PI into PI 1538408773.466 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408773.466 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.466 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.466 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408773.467 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.467 * [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))) 1538408773.468 * [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)))) 1538408773.468 * [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))))) 1538408773.469 * [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))))) 1538408773.472 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538408773.473 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1538408773.473 * [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)) 1538408773.473 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1538408773.473 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.473 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.473 * [misc]taylor: Taking taylor expansion of k in n 1538408773.473 * [misc]backup-simplify: Simplify k into k 1538408773.473 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.473 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.473 * [misc]backup-simplify: Simplify 2 into 2 1538408773.473 * [misc]taylor: Taking taylor expansion of n in n 1538408773.474 * [misc]backup-simplify: Simplify 0 into 0 1538408773.474 * [misc]backup-simplify: Simplify 1 into 1 1538408773.474 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.474 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.474 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.474 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408773.474 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408773.474 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408773.475 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.475 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408773.475 * [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)))) 1538408773.476 * [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))))) 1538408773.476 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538408773.476 * [misc]taylor: Taking taylor expansion of k in n 1538408773.476 * [misc]backup-simplify: Simplify k into k 1538408773.476 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538408773.476 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538408773.476 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.476 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.476 * [misc]taylor: Taking taylor expansion of k in k 1538408773.476 * [misc]backup-simplify: Simplify 0 into 0 1538408773.476 * [misc]backup-simplify: Simplify 1 into 1 1538408773.476 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408773.476 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408773.477 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.477 * [misc]backup-simplify: Simplify 2 into 2 1538408773.477 * [misc]taylor: Taking taylor expansion of n in k 1538408773.477 * [misc]backup-simplify: Simplify n into n 1538408773.477 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408773.477 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408773.477 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.477 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.477 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.477 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408773.477 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408773.478 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538408773.478 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408773.478 * [misc]taylor: Taking taylor expansion of k in k 1538408773.478 * [misc]backup-simplify: Simplify 0 into 0 1538408773.478 * [misc]backup-simplify: Simplify 1 into 1 1538408773.478 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.479 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.479 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.479 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.479 * [misc]taylor: Taking taylor expansion of k in k 1538408773.479 * [misc]backup-simplify: Simplify 0 into 0 1538408773.479 * [misc]backup-simplify: Simplify 1 into 1 1538408773.479 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408773.479 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.479 * [misc]backup-simplify: Simplify 2 into 2 1538408773.479 * [misc]taylor: Taking taylor expansion of n in k 1538408773.479 * [misc]backup-simplify: Simplify n into n 1538408773.479 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408773.479 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408773.479 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.480 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.480 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.480 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408773.480 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408773.480 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538408773.480 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408773.480 * [misc]taylor: Taking taylor expansion of k in k 1538408773.480 * [misc]backup-simplify: Simplify 0 into 0 1538408773.480 * [misc]backup-simplify: Simplify 1 into 1 1538408773.481 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.481 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.481 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1538408773.481 * [misc]taylor: Taking taylor expansion of 0 in n 1538408773.481 * [misc]backup-simplify: Simplify 0 into 0 1538408773.481 * [misc]backup-simplify: Simplify 0 into 0 1538408773.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538408773.483 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538408773.483 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408773.483 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.483 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538408773.484 * [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)))) 1538408773.487 * [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)))) 1538408773.489 * [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)))) 1538408773.489 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538408773.489 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538408773.489 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.489 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.489 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538408773.489 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408773.489 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408773.489 * [misc]taylor: Taking taylor expansion of n in n 1538408773.489 * [misc]backup-simplify: Simplify 0 into 0 1538408773.489 * [misc]backup-simplify: Simplify 1 into 1 1538408773.489 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.490 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.490 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.490 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538408773.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.490 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538408773.490 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538408773.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.491 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538408773.492 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538408773.493 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.494 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.494 * [misc]backup-simplify: Simplify 0 into 0 1538408773.495 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408773.495 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538408773.497 * [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 1538408773.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.498 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538408773.500 * [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))) 1538408773.511 * [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))))) 1538408773.522 * [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)))))) 1538408773.522 * [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 1538408773.522 * [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 1538408773.522 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1538408773.522 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.523 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.523 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1538408773.523 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1538408773.523 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408773.523 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.523 * [misc]backup-simplify: Simplify 2 into 2 1538408773.523 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408773.523 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408773.523 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1538408773.523 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.523 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.523 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.523 * [misc]backup-simplify: Simplify 2 into 2 1538408773.523 * [misc]taylor: Taking taylor expansion of n in n 1538408773.523 * [misc]backup-simplify: Simplify 0 into 0 1538408773.523 * [misc]backup-simplify: Simplify 1 into 1 1538408773.524 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.524 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.524 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.524 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1538408773.524 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538408773.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.524 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538408773.525 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538408773.525 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408773.525 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408773.525 * [misc]taylor: Taking taylor expansion of n in n 1538408773.525 * [misc]backup-simplify: Simplify 0 into 0 1538408773.525 * [misc]backup-simplify: Simplify 1 into 1 1538408773.525 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.525 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.525 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.525 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538408773.526 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538408773.526 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.526 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.526 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538408773.526 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408773.526 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408773.526 * [misc]taylor: Taking taylor expansion of n in n 1538408773.526 * [misc]backup-simplify: Simplify 0 into 0 1538408773.526 * [misc]backup-simplify: Simplify 1 into 1 1538408773.526 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.526 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.526 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.527 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538408773.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.527 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538408773.527 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538408773.527 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.528 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1538408773.528 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1538408773.530 * [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))) 1538408773.531 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.531 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1538408773.531 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.533 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408773.533 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1538408773.534 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1538408773.536 * [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))))))) 1538408773.537 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1538408773.541 * [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))))))) 1538408773.542 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.542 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538408773.543 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538408773.543 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.550 * [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))))))))) 1538408773.556 * [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))))))) 1538408773.560 * [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))))))) 1538408773.561 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1538408773.561 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408773.562 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408773.563 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.563 * [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))) 1538408773.564 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.565 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408773.577 * [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)))))))))))) 1538408773.578 * [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))) 1538408773.578 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1538408773.578 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.578 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.578 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of k in n 1538408773.578 * [misc]backup-simplify: Simplify k into k 1538408773.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.578 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.578 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.579 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.579 * [misc]backup-simplify: Simplify 2 into 2 1538408773.579 * [misc]taylor: Taking taylor expansion of n in n 1538408773.579 * [misc]backup-simplify: Simplify 0 into 0 1538408773.579 * [misc]backup-simplify: Simplify 1 into 1 1538408773.579 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.579 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.579 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.579 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.579 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.580 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.580 * [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))) 1538408773.580 * [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)))) 1538408773.581 * [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))))) 1538408773.581 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538408773.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.581 * [misc]taylor: Taking taylor expansion of k in n 1538408773.581 * [misc]backup-simplify: Simplify k into k 1538408773.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.581 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538408773.581 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.581 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538408773.581 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538408773.581 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538408773.581 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.582 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.582 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of k in k 1538408773.582 * [misc]backup-simplify: Simplify 0 into 0 1538408773.582 * [misc]backup-simplify: Simplify 1 into 1 1538408773.582 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.582 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408773.582 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.582 * [misc]backup-simplify: Simplify 2 into 2 1538408773.582 * [misc]taylor: Taking taylor expansion of n in k 1538408773.582 * [misc]backup-simplify: Simplify n into n 1538408773.582 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408773.582 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408773.583 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.583 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.583 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.583 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408773.583 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.583 * [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))))) 1538408773.583 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408773.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.583 * [misc]taylor: Taking taylor expansion of k in k 1538408773.584 * [misc]backup-simplify: Simplify 0 into 0 1538408773.584 * [misc]backup-simplify: Simplify 1 into 1 1538408773.584 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.584 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.584 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.584 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538408773.584 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538408773.584 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.584 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408773.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408773.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.585 * [misc]taylor: Taking taylor expansion of k in k 1538408773.585 * [misc]backup-simplify: Simplify 0 into 0 1538408773.585 * [misc]backup-simplify: Simplify 1 into 1 1538408773.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.585 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408773.585 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408773.585 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.585 * [misc]backup-simplify: Simplify 2 into 2 1538408773.585 * [misc]taylor: Taking taylor expansion of n in k 1538408773.585 * [misc]backup-simplify: Simplify n into n 1538408773.585 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408773.585 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408773.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.586 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.586 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.586 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408773.586 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.586 * [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))))) 1538408773.586 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408773.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.586 * [misc]taylor: Taking taylor expansion of k in k 1538408773.586 * [misc]backup-simplify: Simplify 0 into 0 1538408773.586 * [misc]backup-simplify: Simplify 1 into 1 1538408773.587 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.587 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.587 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408773.588 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538408773.588 * [misc]taylor: Taking taylor expansion of 0 in n 1538408773.588 * [misc]backup-simplify: Simplify 0 into 0 1538408773.588 * [misc]backup-simplify: Simplify 0 into 0 1538408773.588 * [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 1538408773.588 * [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))))))) 1538408773.588 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.589 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.589 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of k in n 1538408773.589 * [misc]backup-simplify: Simplify k into k 1538408773.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.589 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.589 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.589 * [misc]backup-simplify: Simplify 2 into 2 1538408773.589 * [misc]taylor: Taking taylor expansion of n in n 1538408773.589 * [misc]backup-simplify: Simplify 0 into 0 1538408773.589 * [misc]backup-simplify: Simplify 1 into 1 1538408773.589 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.590 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.590 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.590 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.590 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.591 * [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))) 1538408773.591 * [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)))) 1538408773.591 * [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))))) 1538408773.592 * [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))))) 1538408773.592 * [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))))))) 1538408773.593 * [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))))))) 1538408773.593 * [misc]backup-simplify: Simplify 0 into 0 1538408773.593 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408773.594 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408773.595 * [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 1538408773.595 * [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))))))) 1538408773.595 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408773.595 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408773.595 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.595 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.595 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408773.595 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.595 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.595 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.595 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.595 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.596 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.596 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.596 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.596 * [misc]taylor: Taking taylor expansion of k in n 1538408773.596 * [misc]backup-simplify: Simplify k into k 1538408773.596 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.596 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.596 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.596 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.596 * [misc]backup-simplify: Simplify 2 into 2 1538408773.596 * [misc]taylor: Taking taylor expansion of n in n 1538408773.596 * [misc]backup-simplify: Simplify 0 into 0 1538408773.596 * [misc]backup-simplify: Simplify 1 into 1 1538408773.596 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.596 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.596 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.597 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.597 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.597 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.597 * [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))) 1538408773.598 * [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)))) 1538408773.598 * [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))))) 1538408773.599 * [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))))) 1538408773.599 * [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))))))) 1538408773.599 * [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))))))) 1538408773.600 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408773.602 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408773.602 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.603 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.603 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.604 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538408773.605 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.606 * [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 1538408773.607 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538408773.607 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.607 * [misc]backup-simplify: Simplify 0 into 0 1538408773.607 * [misc]backup-simplify: Simplify 0 into 0 1538408773.607 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.609 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408773.610 * [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 1538408773.610 * [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))))))) 1538408773.610 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408773.610 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408773.610 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.610 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.610 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408773.610 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.610 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.610 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.611 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.611 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.611 * [misc]taylor: Taking taylor expansion of k in n 1538408773.611 * [misc]backup-simplify: Simplify k into k 1538408773.611 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.611 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.611 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.611 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.611 * [misc]backup-simplify: Simplify 2 into 2 1538408773.611 * [misc]taylor: Taking taylor expansion of n in n 1538408773.611 * [misc]backup-simplify: Simplify 0 into 0 1538408773.611 * [misc]backup-simplify: Simplify 1 into 1 1538408773.611 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.611 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.611 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.612 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.612 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.612 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.612 * [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))) 1538408773.613 * [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)))) 1538408773.613 * [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))))) 1538408773.614 * [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))))) 1538408773.614 * [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))))))) 1538408773.614 * [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))))))) 1538408773.616 * [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))))))))))) 1538408773.617 * [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))) 1538408773.617 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1538408773.617 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408773.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408773.617 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408773.617 * [misc]taylor: Taking taylor expansion of -1 in n 1538408773.617 * [misc]backup-simplify: Simplify -1 into -1 1538408773.617 * [misc]taylor: Taking taylor expansion of k in n 1538408773.617 * [misc]backup-simplify: Simplify k into k 1538408773.617 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408773.617 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408773.617 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408773.617 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408773.617 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.617 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.617 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.618 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.618 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.618 * [misc]taylor: Taking taylor expansion of k in n 1538408773.618 * [misc]backup-simplify: Simplify k into k 1538408773.618 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.618 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.618 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.618 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.618 * [misc]backup-simplify: Simplify -2 into -2 1538408773.618 * [misc]taylor: Taking taylor expansion of n in n 1538408773.618 * [misc]backup-simplify: Simplify 0 into 0 1538408773.618 * [misc]backup-simplify: Simplify 1 into 1 1538408773.618 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.618 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.618 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.619 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.619 * [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))) 1538408773.620 * [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)))) 1538408773.620 * [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))))) 1538408773.620 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538408773.620 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408773.620 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408773.620 * [misc]taylor: Taking taylor expansion of -1 in k 1538408773.620 * [misc]backup-simplify: Simplify -1 into -1 1538408773.620 * [misc]taylor: Taking taylor expansion of k in k 1538408773.620 * [misc]backup-simplify: Simplify 0 into 0 1538408773.620 * [misc]backup-simplify: Simplify 1 into 1 1538408773.620 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408773.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.621 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408773.621 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.621 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408773.621 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408773.621 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.622 * [misc]taylor: Taking taylor expansion of k in k 1538408773.622 * [misc]backup-simplify: Simplify 0 into 0 1538408773.622 * [misc]backup-simplify: Simplify 1 into 1 1538408773.622 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.622 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408773.622 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408773.622 * [misc]taylor: Taking taylor expansion of -2 in k 1538408773.622 * [misc]backup-simplify: Simplify -2 into -2 1538408773.622 * [misc]taylor: Taking taylor expansion of n in k 1538408773.622 * [misc]backup-simplify: Simplify n into n 1538408773.622 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408773.622 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408773.622 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.623 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.623 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408773.623 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.623 * [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))) 1538408773.623 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538408773.623 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408773.623 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408773.623 * [misc]taylor: Taking taylor expansion of -1 in k 1538408773.623 * [misc]backup-simplify: Simplify -1 into -1 1538408773.623 * [misc]taylor: Taking taylor expansion of k in k 1538408773.623 * [misc]backup-simplify: Simplify 0 into 0 1538408773.623 * [misc]backup-simplify: Simplify 1 into 1 1538408773.624 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408773.624 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408773.624 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408773.624 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.624 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408773.624 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408773.624 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.624 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.624 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.624 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.624 * [misc]taylor: Taking taylor expansion of k in k 1538408773.624 * [misc]backup-simplify: Simplify 0 into 0 1538408773.625 * [misc]backup-simplify: Simplify 1 into 1 1538408773.625 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.625 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408773.625 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408773.625 * [misc]taylor: Taking taylor expansion of -2 in k 1538408773.625 * [misc]backup-simplify: Simplify -2 into -2 1538408773.625 * [misc]taylor: Taking taylor expansion of n in k 1538408773.625 * [misc]backup-simplify: Simplify n into n 1538408773.625 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408773.625 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408773.625 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.625 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.626 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408773.626 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.626 * [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))) 1538408773.626 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408773.626 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.626 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.626 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.626 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.626 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.626 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.626 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.626 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.626 * [misc]taylor: Taking taylor expansion of k in n 1538408773.626 * [misc]backup-simplify: Simplify k into k 1538408773.626 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.627 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.627 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.627 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.627 * [misc]backup-simplify: Simplify -2 into -2 1538408773.627 * [misc]taylor: Taking taylor expansion of n in n 1538408773.627 * [misc]backup-simplify: Simplify 0 into 0 1538408773.627 * [misc]backup-simplify: Simplify 1 into 1 1538408773.627 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.627 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.627 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.627 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.628 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.628 * [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))) 1538408773.628 * [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)))) 1538408773.629 * [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))))) 1538408773.629 * [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))))) 1538408773.629 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538408773.631 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408773.631 * [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))))) 1538408773.631 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538408773.631 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538408773.631 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.631 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.631 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408773.631 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.631 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.631 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.631 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.632 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.632 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.632 * [misc]taylor: Taking taylor expansion of k in n 1538408773.632 * [misc]backup-simplify: Simplify k into k 1538408773.632 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.632 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.632 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.632 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.632 * [misc]backup-simplify: Simplify -2 into -2 1538408773.632 * [misc]taylor: Taking taylor expansion of n in n 1538408773.632 * [misc]backup-simplify: Simplify 0 into 0 1538408773.632 * [misc]backup-simplify: Simplify 1 into 1 1538408773.632 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.632 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.632 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.633 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.633 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538408773.634 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538408773.634 * [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))))) 1538408773.634 * [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))))) 1538408773.635 * [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))))))) 1538408773.635 * [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))))))) 1538408773.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408773.638 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408773.638 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.639 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.639 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.639 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538408773.641 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.642 * [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 1538408773.642 * [misc]backup-simplify: Simplify 0 into 0 1538408773.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.644 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408773.645 * [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))))) 1538408773.645 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408773.645 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408773.645 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.645 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of k in n 1538408773.645 * [misc]backup-simplify: Simplify k into k 1538408773.645 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.645 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.645 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.645 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.646 * [misc]backup-simplify: Simplify -2 into -2 1538408773.646 * [misc]taylor: Taking taylor expansion of n in n 1538408773.646 * [misc]backup-simplify: Simplify 0 into 0 1538408773.646 * [misc]backup-simplify: Simplify 1 into 1 1538408773.646 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.646 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.646 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.646 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.647 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.647 * [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))) 1538408773.647 * [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)))) 1538408773.648 * [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))))) 1538408773.648 * [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))))) 1538408773.648 * [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))))))) 1538408773.649 * [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))))))) 1538408773.651 * [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))))))))) 1538408773.651 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1538408773.652 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1538408773.652 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1538408773.652 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408773.652 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408773.652 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408773.652 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.652 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.652 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.652 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.652 * [misc]taylor: Taking taylor expansion of k in k 1538408773.652 * [misc]backup-simplify: Simplify 0 into 0 1538408773.652 * [misc]backup-simplify: Simplify 1 into 1 1538408773.652 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408773.652 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408773.652 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.652 * [misc]backup-simplify: Simplify 2 into 2 1538408773.652 * [misc]taylor: Taking taylor expansion of n in k 1538408773.652 * [misc]backup-simplify: Simplify n into n 1538408773.652 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408773.652 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408773.653 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.653 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.653 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.653 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408773.653 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408773.653 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408773.653 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408773.653 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408773.653 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408773.653 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.653 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408773.653 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.653 * [misc]taylor: Taking taylor expansion of k in n 1538408773.653 * [misc]backup-simplify: Simplify k into k 1538408773.653 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.653 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.654 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.654 * [misc]backup-simplify: Simplify 2 into 2 1538408773.654 * [misc]taylor: Taking taylor expansion of n in n 1538408773.654 * [misc]backup-simplify: Simplify 0 into 0 1538408773.654 * [misc]backup-simplify: Simplify 1 into 1 1538408773.654 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.654 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.654 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.654 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408773.654 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408773.654 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408773.655 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.655 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408773.655 * [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)))) 1538408773.655 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408773.656 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408773.656 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408773.656 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408773.656 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.656 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408773.656 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.656 * [misc]taylor: Taking taylor expansion of k in n 1538408773.656 * [misc]backup-simplify: Simplify k into k 1538408773.656 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408773.656 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408773.656 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.656 * [misc]backup-simplify: Simplify 2 into 2 1538408773.656 * [misc]taylor: Taking taylor expansion of n in n 1538408773.656 * [misc]backup-simplify: Simplify 0 into 0 1538408773.656 * [misc]backup-simplify: Simplify 1 into 1 1538408773.656 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408773.656 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408773.657 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.657 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408773.657 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408773.657 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408773.657 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.658 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408773.658 * [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)))) 1538408773.658 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538408773.658 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538408773.658 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538408773.658 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408773.658 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.658 * [misc]backup-simplify: Simplify 2 into 2 1538408773.659 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.659 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408773.659 * [misc]taylor: Taking taylor expansion of n in k 1538408773.659 * [misc]backup-simplify: Simplify n into n 1538408773.659 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408773.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408773.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.659 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408773.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.659 * [misc]taylor: Taking taylor expansion of k in k 1538408773.659 * [misc]backup-simplify: Simplify 0 into 0 1538408773.659 * [misc]backup-simplify: Simplify 1 into 1 1538408773.659 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538408773.659 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408773.660 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.660 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.660 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538408773.660 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538408773.660 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538408773.661 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408773.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538408773.664 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.665 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.665 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538408773.666 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.666 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.666 * [misc]backup-simplify: Simplify 0 into 0 1538408773.666 * [misc]backup-simplify: Simplify 0 into 0 1538408773.667 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408773.667 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.667 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.669 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408773.670 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408773.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.671 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538408773.672 * [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))))) 1538408773.673 * [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))))) 1538408773.673 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408773.678 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408773.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538408773.678 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.679 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408773.679 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538408773.682 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408773.682 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.682 * [misc]backup-simplify: Simplify 0 into 0 1538408773.682 * [misc]backup-simplify: Simplify 0 into 0 1538408773.682 * [misc]backup-simplify: Simplify 0 into 0 1538408773.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408773.682 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.688 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408773.690 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538408773.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.690 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538408773.693 * [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))))) 1538408773.696 * [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))))) 1538408773.701 * [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))))) 1538408773.701 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.701 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538408773.701 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408773.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408773.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408773.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.701 * [misc]taylor: Taking taylor expansion of k in k 1538408773.701 * [misc]backup-simplify: Simplify 0 into 0 1538408773.701 * [misc]backup-simplify: Simplify 1 into 1 1538408773.701 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.701 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408773.701 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408773.702 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.702 * [misc]backup-simplify: Simplify 2 into 2 1538408773.702 * [misc]taylor: Taking taylor expansion of n in k 1538408773.702 * [misc]backup-simplify: Simplify n into n 1538408773.702 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408773.702 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408773.702 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.702 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.702 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.702 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408773.702 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408773.702 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.702 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.702 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of k in n 1538408773.702 * [misc]backup-simplify: Simplify k into k 1538408773.702 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.702 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.702 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.702 * [misc]backup-simplify: Simplify 2 into 2 1538408773.702 * [misc]taylor: Taking taylor expansion of n in n 1538408773.702 * [misc]backup-simplify: Simplify 0 into 0 1538408773.703 * [misc]backup-simplify: Simplify 1 into 1 1538408773.703 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.703 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.703 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.703 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.703 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.703 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.703 * [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))) 1538408773.704 * [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)))) 1538408773.704 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.704 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of k in n 1538408773.704 * [misc]backup-simplify: Simplify k into k 1538408773.704 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.704 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408773.704 * [misc]taylor: Taking taylor expansion of 2 in n 1538408773.704 * [misc]backup-simplify: Simplify 2 into 2 1538408773.704 * [misc]taylor: Taking taylor expansion of n in n 1538408773.704 * [misc]backup-simplify: Simplify 0 into 0 1538408773.704 * [misc]backup-simplify: Simplify 1 into 1 1538408773.704 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408773.704 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.704 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.704 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408773.704 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408773.705 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.705 * [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))) 1538408773.705 * [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)))) 1538408773.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.706 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.706 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of k in k 1538408773.706 * [misc]backup-simplify: Simplify 0 into 0 1538408773.706 * [misc]backup-simplify: Simplify 1 into 1 1538408773.706 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.706 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of 2 in k 1538408773.706 * [misc]backup-simplify: Simplify 2 into 2 1538408773.706 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408773.706 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408773.706 * [misc]taylor: Taking taylor expansion of n in k 1538408773.706 * [misc]backup-simplify: Simplify n into n 1538408773.706 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408773.707 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.707 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408773.707 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408773.707 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408773.707 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538408773.707 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538408773.707 * [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)))) 1538408773.708 * [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)))) 1538408773.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408773.710 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408773.710 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.710 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.710 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.710 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.711 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538408773.712 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.712 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.712 * [misc]backup-simplify: Simplify 0 into 0 1538408773.712 * [misc]backup-simplify: Simplify 0 into 0 1538408773.712 * [misc]backup-simplify: Simplify 0 into 0 1538408773.712 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.714 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408773.715 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408773.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408773.715 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.715 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.715 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.716 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538408773.717 * [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 1538408773.717 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.717 * [misc]backup-simplify: Simplify 0 into 0 1538408773.717 * [misc]backup-simplify: Simplify 0 into 0 1538408773.717 * [misc]backup-simplify: Simplify 0 into 0 1538408773.717 * [misc]backup-simplify: Simplify 0 into 0 1538408773.717 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.721 * [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 1538408773.722 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408773.722 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408773.722 * [misc]backup-simplify: Simplify (- 0) into 0 1538408773.722 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.722 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408773.723 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538408773.725 * [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 1538408773.725 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.725 * [misc]backup-simplify: Simplify 0 into 0 1538408773.725 * [misc]backup-simplify: Simplify 0 into 0 1538408773.725 * [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)))) 1538408773.725 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.725 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538408773.725 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of k in k 1538408773.726 * [misc]backup-simplify: Simplify 0 into 0 1538408773.726 * [misc]backup-simplify: Simplify 1 into 1 1538408773.726 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.726 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408773.726 * [misc]taylor: Taking taylor expansion of -2 in k 1538408773.726 * [misc]backup-simplify: Simplify -2 into -2 1538408773.726 * [misc]taylor: Taking taylor expansion of n in k 1538408773.726 * [misc]backup-simplify: Simplify n into n 1538408773.726 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408773.726 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408773.726 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.726 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.726 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408773.726 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408773.726 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.726 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.726 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.727 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.727 * [misc]taylor: Taking taylor expansion of k in n 1538408773.727 * [misc]backup-simplify: Simplify k into k 1538408773.727 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.727 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.727 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.727 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.727 * [misc]backup-simplify: Simplify -2 into -2 1538408773.727 * [misc]taylor: Taking taylor expansion of n in n 1538408773.727 * [misc]backup-simplify: Simplify 0 into 0 1538408773.727 * [misc]backup-simplify: Simplify 1 into 1 1538408773.727 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.727 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.727 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.727 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.728 * [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))) 1538408773.728 * [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)))) 1538408773.728 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.728 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of k in n 1538408773.728 * [misc]backup-simplify: Simplify k into k 1538408773.728 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408773.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408773.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.728 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408773.728 * [misc]taylor: Taking taylor expansion of -2 in n 1538408773.728 * [misc]backup-simplify: Simplify -2 into -2 1538408773.728 * [misc]taylor: Taking taylor expansion of n in n 1538408773.728 * [misc]backup-simplify: Simplify 0 into 0 1538408773.728 * [misc]backup-simplify: Simplify 1 into 1 1538408773.728 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408773.728 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.728 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408773.729 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408773.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.729 * [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))) 1538408773.729 * [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)))) 1538408773.729 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538408773.729 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538408773.729 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408773.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408773.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408773.729 * [misc]taylor: Taking taylor expansion of k in k 1538408773.729 * [misc]backup-simplify: Simplify 0 into 0 1538408773.729 * [misc]backup-simplify: Simplify 1 into 1 1538408773.729 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408773.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408773.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408773.730 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538408773.730 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538408773.730 * [misc]taylor: Taking taylor expansion of -2 in k 1538408773.730 * [misc]backup-simplify: Simplify -2 into -2 1538408773.730 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408773.730 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408773.730 * [misc]taylor: Taking taylor expansion of n in k 1538408773.730 * [misc]backup-simplify: Simplify n into n 1538408773.730 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408773.730 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408773.730 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408773.730 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408773.730 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538408773.730 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538408773.731 * [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)))) 1538408773.731 * [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)))) 1538408773.731 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408773.733 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408773.733 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408773.733 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408773.733 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.733 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.734 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538408773.734 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408773.734 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.734 * [misc]backup-simplify: Simplify 0 into 0 1538408773.734 * [misc]backup-simplify: Simplify 0 into 0 1538408773.734 * [misc]backup-simplify: Simplify 0 into 0 1538408773.735 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.737 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538408773.737 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408773.738 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408773.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.738 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.738 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538408773.740 * [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 1538408773.740 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.740 * [misc]backup-simplify: Simplify 0 into 0 1538408773.740 * [misc]backup-simplify: Simplify 0 into 0 1538408773.740 * [misc]backup-simplify: Simplify 0 into 0 1538408773.740 * [misc]backup-simplify: Simplify 0 into 0 1538408773.740 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408773.744 * [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 1538408773.745 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408773.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408773.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408773.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408773.746 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1538408773.748 * [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 1538408773.748 * [misc]taylor: Taking taylor expansion of 0 in k 1538408773.748 * [misc]backup-simplify: Simplify 0 into 0 1538408773.748 * [misc]backup-simplify: Simplify 0 into 0 1538408773.748 * [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))))) 1538408773.748 * * * [misc]progress: simplifying candidates 1538408773.748 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1538408773.748 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1538408773.748 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1538408773.749 * * [misc]simplify: iters left: 3 (5 enodes) 1538408773.750 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1538408773.750 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408773.750 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1538408773.750 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538408773.750 * * [misc]simplify: iters left: 5 (6 enodes) 1538408773.751 * * [misc]simplify: iters left: 4 (8 enodes) 1538408773.753 * * [misc]simplify: iters left: 3 (11 enodes) 1538408773.755 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538408773.755 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408773.755 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1538408773.755 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538408773.755 * * [misc]simplify: iters left: 5 (6 enodes) 1538408773.756 * * [misc]simplify: iters left: 4 (8 enodes) 1538408773.758 * * [misc]simplify: iters left: 3 (11 enodes) 1538408773.760 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538408773.760 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408773.760 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1538408773.760 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538408773.760 * * [misc]simplify: iters left: 4 (5 enodes) 1538408773.761 * * [misc]simplify: iters left: 3 (7 enodes) 1538408773.762 * * [misc]simplify: iters left: 2 (10 enodes) 1538408773.764 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538408773.764 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408773.764 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1538408773.764 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538408773.765 * * [misc]simplify: iters left: 5 (6 enodes) 1538408773.766 * * [misc]simplify: iters left: 4 (8 enodes) 1538408773.767 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538408773.767 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408773.767 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1538408773.768 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538408773.768 * * [misc]simplify: iters left: 5 (6 enodes) 1538408773.769 * * [misc]simplify: iters left: 4 (8 enodes) 1538408773.771 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538408773.771 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408773.771 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # 1538408773.771 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1538408773.771 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538408773.772 * * [misc]simplify: iters left: 6 (16 enodes) 1538408773.777 * * [misc]simplify: iters left: 5 (30 enodes) 1538408773.785 * * [misc]simplify: iters left: 4 (66 enodes) 1538408773.815 * * [misc]simplify: iters left: 3 (209 enodes) 1538408774.072 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538408774.072 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538408774.072 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1538408774.072 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538408774.073 * * [misc]simplify: iters left: 6 (16 enodes) 1538408774.078 * * [misc]simplify: iters left: 5 (30 enodes) 1538408774.089 * * [misc]simplify: iters left: 4 (66 enodes) 1538408774.117 * * [misc]simplify: iters left: 3 (209 enodes) 1538408774.287 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538408774.287 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538408774.287 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1538408774.288 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408774.289 * * [misc]simplify: iters left: 6 (16 enodes) 1538408774.293 * * [misc]simplify: iters left: 5 (28 enodes) 1538408774.301 * * [misc]simplify: iters left: 4 (54 enodes) 1538408774.331 * * [misc]simplify: iters left: 3 (132 enodes) 1538408774.428 * * [misc]simplify: iters left: 2 (467 enodes) 1538408775.176 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538408775.176 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538408775.176 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1538408775.176 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408775.177 * * [misc]simplify: iters left: 6 (15 enodes) 1538408775.180 * * [misc]simplify: iters left: 5 (24 enodes) 1538408775.187 * * [misc]simplify: iters left: 4 (40 enodes) 1538408775.208 * * [misc]simplify: iters left: 3 (81 enodes) 1538408775.251 * * [misc]simplify: iters left: 2 (186 enodes) 1538408775.445 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1538408775.445 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1538408775.445 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1538408775.445 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538408775.447 * * [misc]simplify: iters left: 6 (16 enodes) 1538408775.451 * * [misc]simplify: iters left: 5 (31 enodes) 1538408775.460 * * [misc]simplify: iters left: 4 (62 enodes) 1538408775.484 * * [misc]simplify: iters left: 3 (183 enodes) 1538408775.674 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1538408775.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1538408775.674 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1538408775.674 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538408775.676 * * [misc]simplify: iters left: 6 (16 enodes) 1538408775.681 * * [misc]simplify: iters left: 5 (31 enodes) 1538408775.691 * * [misc]simplify: iters left: 4 (62 enodes) 1538408775.722 * * [misc]simplify: iters left: 3 (183 enodes) 1538408775.964 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1538408775.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1538408775.964 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1538408775.964 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408775.966 * * [misc]simplify: iters left: 6 (16 enodes) 1538408775.974 * * [misc]simplify: iters left: 5 (29 enodes) 1538408775.987 * * [misc]simplify: iters left: 4 (50 enodes) 1538408776.017 * * [misc]simplify: iters left: 3 (106 enodes) 1538408776.112 * * [misc]simplify: iters left: 2 (416 enodes) 1538408776.823 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538408776.823 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538408776.823 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1538408776.823 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408776.825 * * [misc]simplify: iters left: 6 (15 enodes) 1538408776.831 * * [misc]simplify: iters left: 5 (25 enodes) 1538408776.840 * * [misc]simplify: iters left: 4 (36 enodes) 1538408776.856 * * [misc]simplify: iters left: 3 (59 enodes) 1538408776.884 * * [misc]simplify: iters left: 2 (151 enodes) 1538408776.987 * * [misc]simplify: iters left: 1 (498 enodes) 1538408778.265 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1538408778.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1538408778.265 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1538408778.265 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1538408778.266 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1538408778.266 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408778.268 * * [misc]simplify: iters left: 6 (19 enodes) 1538408778.278 * * [misc]simplify: iters left: 5 (36 enodes) 1538408778.303 * * [misc]simplify: iters left: 4 (112 enodes) 1538408778.391 * * [misc]simplify: iters left: 3 (434 enodes) 1538408778.933 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1538408778.934 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1538408778.934 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1538408778.934 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408778.935 * * [misc]simplify: iters left: 6 (17 enodes) 1538408778.941 * * [misc]simplify: iters left: 5 (35 enodes) 1538408778.955 * * [misc]simplify: iters left: 4 (92 enodes) 1538408778.991 * * [misc]simplify: iters left: 3 (254 enodes) 1538408779.283 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408779.283 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1538408779.283 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1538408779.283 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # 1538408779.283 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1538408779.283 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1538408779.284 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408779.286 * * [misc]simplify: iters left: 6 (15 enodes) 1538408779.292 * * [misc]simplify: iters left: 5 (21 enodes) 1538408779.296 * * [misc]simplify: iters left: 4 (24 enodes) 1538408779.300 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408779.300 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.301 * * [misc]simplify: iters left: 6 (15 enodes) 1538408779.304 * * [misc]simplify: iters left: 5 (19 enodes) 1538408779.307 * * [misc]simplify: iters left: 4 (20 enodes) 1538408779.311 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.311 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408779.311 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1538408779.311 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.312 * * [misc]simplify: iters left: 6 (14 enodes) 1538408779.315 * * [misc]simplify: iters left: 5 (18 enodes) 1538408779.318 * * [misc]simplify: iters left: 4 (21 enodes) 1538408779.321 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408779.321 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.322 * * [misc]simplify: iters left: 6 (15 enodes) 1538408779.325 * * [misc]simplify: iters left: 5 (19 enodes) 1538408779.328 * * [misc]simplify: iters left: 4 (20 enodes) 1538408779.333 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408779.333 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1538408779.333 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408779.334 * * [misc]simplify: iters left: 6 (13 enodes) 1538408779.337 * * [misc]simplify: iters left: 5 (20 enodes) 1538408779.341 * * [misc]simplify: iters left: 4 (27 enodes) 1538408779.346 * * [misc]simplify: iters left: 3 (39 enodes) 1538408779.353 * * [misc]simplify: iters left: 2 (44 enodes) 1538408779.360 * * [misc]simplify: iters left: 1 (51 enodes) 1538408779.377 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538408779.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408779.377 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408779.378 * * [misc]simplify: iters left: 6 (13 enodes) 1538408779.381 * * [misc]simplify: iters left: 5 (18 enodes) 1538408779.385 * * [misc]simplify: iters left: 4 (21 enodes) 1538408779.388 * * [misc]simplify: iters left: 3 (23 enodes) 1538408779.393 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538408779.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538408779.393 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1538408779.393 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408779.394 * * [misc]simplify: iters left: 6 (13 enodes) 1538408779.397 * * [misc]simplify: iters left: 5 (20 enodes) 1538408779.400 * * [misc]simplify: iters left: 4 (27 enodes) 1538408779.406 * * [misc]simplify: iters left: 3 (39 enodes) 1538408779.413 * * [misc]simplify: iters left: 2 (44 enodes) 1538408779.424 * * [misc]simplify: iters left: 1 (51 enodes) 1538408779.443 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538408779.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408779.444 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408779.446 * * [misc]simplify: iters left: 6 (13 enodes) 1538408779.451 * * [misc]simplify: iters left: 5 (18 enodes) 1538408779.457 * * [misc]simplify: iters left: 4 (21 enodes) 1538408779.464 * * [misc]simplify: iters left: 3 (23 enodes) 1538408779.473 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538408779.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538408779.473 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1538408779.473 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408779.474 * * [misc]simplify: iters left: 6 (14 enodes) 1538408779.480 * * [misc]simplify: iters left: 5 (21 enodes) 1538408779.488 * * [misc]simplify: iters left: 4 (31 enodes) 1538408779.500 * * [misc]simplify: iters left: 3 (43 enodes) 1538408779.513 * * [misc]simplify: iters left: 2 (48 enodes) 1538408779.527 * * [misc]simplify: iters left: 1 (55 enodes) 1538408779.552 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1538408779.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408779.552 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408779.554 * * [misc]simplify: iters left: 6 (13 enodes) 1538408779.559 * * [misc]simplify: iters left: 5 (18 enodes) 1538408779.565 * * [misc]simplify: iters left: 4 (22 enodes) 1538408779.572 * * [misc]simplify: iters left: 3 (24 enodes) 1538408779.581 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538408779.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538408779.581 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1538408779.582 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408779.583 * * [misc]simplify: iters left: 6 (17 enodes) 1538408779.591 * * [misc]simplify: iters left: 5 (29 enodes) 1538408779.598 * * [misc]simplify: iters left: 4 (50 enodes) 1538408779.608 * * [misc]simplify: iters left: 3 (73 enodes) 1538408779.623 * * [misc]simplify: iters left: 2 (103 enodes) 1538408779.644 * * [misc]simplify: iters left: 1 (127 enodes) 1538408779.705 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538408779.705 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408779.706 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.707 * * [misc]simplify: iters left: 6 (16 enodes) 1538408779.713 * * [misc]simplify: iters left: 5 (22 enodes) 1538408779.719 * * [misc]simplify: iters left: 4 (26 enodes) 1538408779.726 * * [misc]simplify: iters left: 3 (28 enodes) 1538408779.739 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408779.739 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408779.739 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1538408779.739 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.741 * * [misc]simplify: iters left: 6 (16 enodes) 1538408779.747 * * [misc]simplify: iters left: 5 (24 enodes) 1538408779.756 * * [misc]simplify: iters left: 4 (34 enodes) 1538408779.769 * * [misc]simplify: iters left: 3 (46 enodes) 1538408779.783 * * [misc]simplify: iters left: 2 (51 enodes) 1538408779.797 * * [misc]simplify: iters left: 1 (58 enodes) 1538408779.820 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1538408779.820 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408779.820 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408779.822 * * [misc]simplify: iters left: 6 (16 enodes) 1538408779.828 * * [misc]simplify: iters left: 5 (22 enodes) 1538408779.836 * * [misc]simplify: iters left: 4 (26 enodes) 1538408779.843 * * [misc]simplify: iters left: 3 (28 enodes) 1538408779.849 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408779.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408779.849 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1538408779.849 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408779.850 * * [misc]simplify: iters left: 6 (10 enodes) 1538408779.852 * * [misc]simplify: iters left: 5 (17 enodes) 1538408779.856 * * [misc]simplify: iters left: 4 (28 enodes) 1538408779.863 * * [misc]simplify: iters left: 3 (33 enodes) 1538408779.868 * * [misc]simplify: iters left: 2 (50 enodes) 1538408779.884 * * [misc]simplify: iters left: 1 (65 enodes) 1538408779.907 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538408779.907 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408779.907 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408779.909 * * [misc]simplify: iters left: 6 (15 enodes) 1538408779.915 * * [misc]simplify: iters left: 5 (21 enodes) 1538408779.923 * * [misc]simplify: iters left: 4 (25 enodes) 1538408779.931 * * [misc]simplify: iters left: 3 (27 enodes) 1538408779.942 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1538408779.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1538408779.942 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1538408779.942 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408779.944 * * [misc]simplify: iters left: 6 (12 enodes) 1538408779.948 * * [misc]simplify: iters left: 5 (17 enodes) 1538408779.954 * * [misc]simplify: iters left: 4 (20 enodes) 1538408779.961 * * [misc]simplify: iters left: 3 (22 enodes) 1538408779.969 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538408779.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408779.969 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408779.970 * * [misc]simplify: iters left: 6 (13 enodes) 1538408779.977 * * [misc]simplify: iters left: 5 (18 enodes) 1538408779.983 * * [misc]simplify: iters left: 4 (21 enodes) 1538408779.992 * * [misc]simplify: iters left: 3 (23 enodes) 1538408780.002 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538408780.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538408780.002 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1538408780.002 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408780.003 * * [misc]simplify: iters left: 6 (12 enodes) 1538408780.008 * * [misc]simplify: iters left: 5 (17 enodes) 1538408780.014 * * [misc]simplify: iters left: 4 (20 enodes) 1538408780.020 * * [misc]simplify: iters left: 3 (22 enodes) 1538408780.028 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538408780.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408780.029 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408780.030 * * [misc]simplify: iters left: 6 (13 enodes) 1538408780.035 * * [misc]simplify: iters left: 5 (18 enodes) 1538408780.041 * * [misc]simplify: iters left: 4 (21 enodes) 1538408780.048 * * [misc]simplify: iters left: 3 (23 enodes) 1538408780.057 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538408780.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538408780.057 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1538408780.058 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408780.059 * * [misc]simplify: iters left: 6 (13 enodes) 1538408780.064 * * [misc]simplify: iters left: 5 (18 enodes) 1538408780.070 * * [misc]simplify: iters left: 4 (24 enodes) 1538408780.078 * * [misc]simplify: iters left: 3 (26 enodes) 1538408780.087 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408780.087 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408780.088 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408780.089 * * [misc]simplify: iters left: 6 (13 enodes) 1538408780.094 * * [misc]simplify: iters left: 5 (18 enodes) 1538408780.100 * * [misc]simplify: iters left: 4 (22 enodes) 1538408780.107 * * [misc]simplify: iters left: 3 (24 enodes) 1538408780.116 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538408780.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538408780.116 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1538408780.117 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.118 * * [misc]simplify: iters left: 6 (16 enodes) 1538408780.126 * * [misc]simplify: iters left: 5 (24 enodes) 1538408780.135 * * [misc]simplify: iters left: 4 (32 enodes) 1538408780.148 * * [misc]simplify: iters left: 3 (41 enodes) 1538408780.162 * * [misc]simplify: iters left: 2 (49 enodes) 1538408780.175 * * [misc]simplify: iters left: 1 (51 enodes) 1538408780.200 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408780.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.200 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.202 * * [misc]simplify: iters left: 6 (16 enodes) 1538408780.206 * * [misc]simplify: iters left: 5 (22 enodes) 1538408780.210 * * [misc]simplify: iters left: 4 (26 enodes) 1538408780.214 * * [misc]simplify: iters left: 3 (28 enodes) 1538408780.220 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408780.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408780.220 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1538408780.220 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.221 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.224 * * [misc]simplify: iters left: 5 (21 enodes) 1538408780.228 * * [misc]simplify: iters left: 4 (27 enodes) 1538408780.234 * * [misc]simplify: iters left: 3 (29 enodes) 1538408780.239 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408780.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.239 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.240 * * [misc]simplify: iters left: 6 (16 enodes) 1538408780.244 * * [misc]simplify: iters left: 5 (22 enodes) 1538408780.247 * * [misc]simplify: iters left: 4 (26 enodes) 1538408780.252 * * [misc]simplify: iters left: 3 (28 enodes) 1538408780.258 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408780.258 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408780.258 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1538408780.258 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1538408780.258 * * [misc]simplify: iters left: 6 (9 enodes) 1538408780.260 * * [misc]simplify: iters left: 5 (14 enodes) 1538408780.263 * * [misc]simplify: iters left: 4 (21 enodes) 1538408780.267 * * [misc]simplify: iters left: 3 (23 enodes) 1538408780.269 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538408780.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.269 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408780.270 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.273 * * [misc]simplify: iters left: 5 (21 enodes) 1538408780.277 * * [misc]simplify: iters left: 4 (25 enodes) 1538408780.282 * * [misc]simplify: iters left: 3 (27 enodes) 1538408780.291 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1538408780.291 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1538408780.291 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1538408780.291 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538408780.292 * * [misc]simplify: iters left: 6 (10 enodes) 1538408780.297 * * [misc]simplify: iters left: 5 (17 enodes) 1538408780.302 * * [misc]simplify: iters left: 4 (19 enodes) 1538408780.310 * * [misc]simplify: iters left: 3 (28 enodes) 1538408780.318 * * [misc]simplify: iters left: 2 (31 enodes) 1538408780.328 * * [misc]simplify: iters left: 1 (33 enodes) 1538408780.337 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538408780.337 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408780.337 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408780.338 * * [misc]simplify: iters left: 6 (12 enodes) 1538408780.343 * * [misc]simplify: iters left: 5 (17 enodes) 1538408780.349 * * [misc]simplify: iters left: 4 (20 enodes) 1538408780.356 * * [misc]simplify: iters left: 3 (22 enodes) 1538408780.365 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408780.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408780.365 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1538408780.366 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538408780.367 * * [misc]simplify: iters left: 6 (10 enodes) 1538408780.372 * * [misc]simplify: iters left: 5 (17 enodes) 1538408780.377 * * [misc]simplify: iters left: 4 (19 enodes) 1538408780.385 * * [misc]simplify: iters left: 3 (28 enodes) 1538408780.393 * * [misc]simplify: iters left: 2 (31 enodes) 1538408780.401 * * [misc]simplify: iters left: 1 (33 enodes) 1538408780.408 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538408780.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408780.408 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408780.409 * * [misc]simplify: iters left: 6 (12 enodes) 1538408780.412 * * [misc]simplify: iters left: 5 (17 enodes) 1538408780.415 * * [misc]simplify: iters left: 4 (20 enodes) 1538408780.418 * * [misc]simplify: iters left: 3 (22 enodes) 1538408780.422 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408780.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408780.423 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1538408780.423 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408780.423 * * [misc]simplify: iters left: 6 (12 enodes) 1538408780.426 * * [misc]simplify: iters left: 5 (19 enodes) 1538408780.429 * * [misc]simplify: iters left: 4 (24 enodes) 1538408780.434 * * [misc]simplify: iters left: 3 (33 enodes) 1538408780.440 * * [misc]simplify: iters left: 2 (36 enodes) 1538408780.450 * * [misc]simplify: iters left: 1 (39 enodes) 1538408780.462 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1538408780.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408780.462 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408780.464 * * [misc]simplify: iters left: 6 (12 enodes) 1538408780.468 * * [misc]simplify: iters left: 5 (17 enodes) 1538408780.475 * * [misc]simplify: iters left: 4 (21 enodes) 1538408780.482 * * [misc]simplify: iters left: 3 (23 enodes) 1538408780.490 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408780.490 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538408780.491 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1538408780.491 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.492 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.499 * * [misc]simplify: iters left: 5 (25 enodes) 1538408780.508 * * [misc]simplify: iters left: 4 (32 enodes) 1538408780.517 * * [misc]simplify: iters left: 3 (47 enodes) 1538408780.525 * * [misc]simplify: iters left: 2 (62 enodes) 1538408780.536 * * [misc]simplify: iters left: 1 (76 enodes) 1538408780.553 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1538408780.553 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.554 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.554 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.557 * * [misc]simplify: iters left: 5 (21 enodes) 1538408780.561 * * [misc]simplify: iters left: 4 (25 enodes) 1538408780.565 * * [misc]simplify: iters left: 3 (27 enodes) 1538408780.570 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538408780.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538408780.570 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1538408780.571 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.572 * * [misc]simplify: iters left: 6 (14 enodes) 1538408780.574 * * [misc]simplify: iters left: 5 (22 enodes) 1538408780.578 * * [misc]simplify: iters left: 4 (27 enodes) 1538408780.584 * * [misc]simplify: iters left: 3 (36 enodes) 1538408780.590 * * [misc]simplify: iters left: 2 (39 enodes) 1538408780.595 * * [misc]simplify: iters left: 1 (42 enodes) 1538408780.602 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1538408780.602 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.602 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.603 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.606 * * [misc]simplify: iters left: 5 (21 enodes) 1538408780.612 * * [misc]simplify: iters left: 4 (25 enodes) 1538408780.623 * * [misc]simplify: iters left: 3 (27 enodes) 1538408780.633 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538408780.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538408780.633 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1538408780.633 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1538408780.634 * * [misc]simplify: iters left: 4 (6 enodes) 1538408780.636 * * [misc]simplify: iters left: 3 (9 enodes) 1538408780.639 * [exit]simplify: Simplified to (sqrt PI) 1538408780.639 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.639 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408780.640 * * [misc]simplify: iters left: 6 (14 enodes) 1538408780.646 * * [misc]simplify: iters left: 5 (20 enodes) 1538408780.653 * * [misc]simplify: iters left: 4 (24 enodes) 1538408780.660 * * [misc]simplify: iters left: 3 (26 enodes) 1538408780.671 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408780.671 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.671 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1538408780.671 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1538408780.672 * * [misc]simplify: iters left: 3 (5 enodes) 1538408780.674 * * [misc]simplify: iters left: 2 (8 enodes) 1538408780.677 * * [misc]simplify: iters left: 1 (10 enodes) 1538408780.680 * [exit]simplify: Simplified to (sqrt PI) 1538408780.680 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.680 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408780.682 * * [misc]simplify: iters left: 6 (14 enodes) 1538408780.688 * * [misc]simplify: iters left: 5 (20 enodes) 1538408780.696 * * [misc]simplify: iters left: 4 (24 enodes) 1538408780.703 * * [misc]simplify: iters left: 3 (26 enodes) 1538408780.714 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408780.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.714 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1538408780.714 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1538408780.715 * * [misc]simplify: iters left: 3 (6 enodes) 1538408780.717 * * [misc]simplify: iters left: 2 (7 enodes) 1538408780.719 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538408780.719 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.720 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408780.721 * * [misc]simplify: iters left: 6 (14 enodes) 1538408780.726 * * [misc]simplify: iters left: 5 (22 enodes) 1538408780.734 * * [misc]simplify: iters left: 4 (26 enodes) 1538408780.744 * * [misc]simplify: iters left: 3 (36 enodes) 1538408780.754 * * [misc]simplify: iters left: 2 (38 enodes) 1538408780.765 * * [misc]simplify: iters left: 1 (43 enodes) 1538408780.778 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1538408780.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1538408780.778 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1538408780.779 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408780.780 * * [misc]simplify: iters left: 6 (11 enodes) 1538408780.784 * * [misc]simplify: iters left: 5 (16 enodes) 1538408780.789 * * [misc]simplify: iters left: 4 (19 enodes) 1538408780.796 * * [misc]simplify: iters left: 3 (21 enodes) 1538408780.803 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538408780.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1538408780.803 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1538408780.804 * * [misc]simplify: iters left: 6 (10 enodes) 1538408780.808 * * [misc]simplify: iters left: 5 (13 enodes) 1538408780.810 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1538408780.810 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1538408780.810 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1538408780.810 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408780.811 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.814 * * [misc]simplify: iters left: 5 (21 enodes) 1538408780.818 * * [misc]simplify: iters left: 4 (24 enodes) 1538408780.823 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.823 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.823 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.824 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.826 * * [misc]simplify: iters left: 5 (19 enodes) 1538408780.829 * * [misc]simplify: iters left: 4 (20 enodes) 1538408780.833 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.833 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1538408780.833 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.834 * * [misc]simplify: iters left: 6 (14 enodes) 1538408780.837 * * [misc]simplify: iters left: 5 (18 enodes) 1538408780.840 * * [misc]simplify: iters left: 4 (21 enodes) 1538408780.844 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.844 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.845 * * [misc]simplify: iters left: 6 (15 enodes) 1538408780.848 * * [misc]simplify: iters left: 5 (19 enodes) 1538408780.851 * * [misc]simplify: iters left: 4 (20 enodes) 1538408780.862 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408780.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408780.863 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1538408780.863 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408780.864 * * [misc]simplify: iters left: 6 (13 enodes) 1538408780.869 * * [misc]simplify: iters left: 5 (20 enodes) 1538408780.876 * * [misc]simplify: iters left: 4 (27 enodes) 1538408780.887 * * [misc]simplify: iters left: 3 (39 enodes) 1538408780.899 * * [misc]simplify: iters left: 2 (44 enodes) 1538408780.913 * * [misc]simplify: iters left: 1 (51 enodes) 1538408780.932 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538408780.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408780.933 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408780.934 * * [misc]simplify: iters left: 6 (13 enodes) 1538408780.939 * * [misc]simplify: iters left: 5 (18 enodes) 1538408780.945 * * [misc]simplify: iters left: 4 (21 enodes) 1538408780.951 * * [misc]simplify: iters left: 3 (23 enodes) 1538408780.961 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538408780.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538408780.961 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1538408780.961 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408780.963 * * [misc]simplify: iters left: 6 (13 enodes) 1538408780.968 * * [misc]simplify: iters left: 5 (20 enodes) 1538408780.975 * * [misc]simplify: iters left: 4 (27 enodes) 1538408780.985 * * [misc]simplify: iters left: 3 (39 enodes) 1538408781.001 * * [misc]simplify: iters left: 2 (44 enodes) 1538408781.014 * * [misc]simplify: iters left: 1 (51 enodes) 1538408781.033 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538408781.033 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408781.033 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408781.034 * * [misc]simplify: iters left: 6 (13 enodes) 1538408781.036 * * [misc]simplify: iters left: 5 (18 enodes) 1538408781.039 * * [misc]simplify: iters left: 4 (21 enodes) 1538408781.043 * * [misc]simplify: iters left: 3 (23 enodes) 1538408781.048 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538408781.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538408781.048 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1538408781.048 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408781.049 * * [misc]simplify: iters left: 6 (14 enodes) 1538408781.052 * * [misc]simplify: iters left: 5 (21 enodes) 1538408781.057 * * [misc]simplify: iters left: 4 (31 enodes) 1538408781.063 * * [misc]simplify: iters left: 3 (43 enodes) 1538408781.070 * * [misc]simplify: iters left: 2 (48 enodes) 1538408781.083 * * [misc]simplify: iters left: 1 (55 enodes) 1538408781.106 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1538408781.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408781.106 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408781.107 * * [misc]simplify: iters left: 6 (13 enodes) 1538408781.110 * * [misc]simplify: iters left: 5 (18 enodes) 1538408781.113 * * [misc]simplify: iters left: 4 (22 enodes) 1538408781.116 * * [misc]simplify: iters left: 3 (24 enodes) 1538408781.121 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538408781.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538408781.121 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1538408781.122 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408781.123 * * [misc]simplify: iters left: 6 (17 enodes) 1538408781.127 * * [misc]simplify: iters left: 5 (29 enodes) 1538408781.133 * * [misc]simplify: iters left: 4 (50 enodes) 1538408781.144 * * [misc]simplify: iters left: 3 (73 enodes) 1538408781.160 * * [misc]simplify: iters left: 2 (103 enodes) 1538408781.200 * * [misc]simplify: iters left: 1 (127 enodes) 1538408781.268 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538408781.268 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408781.268 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408781.270 * * [misc]simplify: iters left: 6 (16 enodes) 1538408781.276 * * [misc]simplify: iters left: 5 (22 enodes) 1538408781.284 * * [misc]simplify: iters left: 4 (26 enodes) 1538408781.291 * * [misc]simplify: iters left: 3 (28 enodes) 1538408781.313 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408781.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408781.314 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1538408781.314 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408781.316 * * [misc]simplify: iters left: 6 (16 enodes) 1538408781.323 * * [misc]simplify: iters left: 5 (24 enodes) 1538408781.332 * * [misc]simplify: iters left: 4 (34 enodes) 1538408781.345 * * [misc]simplify: iters left: 3 (46 enodes) 1538408781.359 * * [misc]simplify: iters left: 2 (51 enodes) 1538408781.375 * * [misc]simplify: iters left: 1 (58 enodes) 1538408781.397 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1538408781.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408781.398 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408781.399 * * [misc]simplify: iters left: 6 (16 enodes) 1538408781.405 * * [misc]simplify: iters left: 5 (22 enodes) 1538408781.413 * * [misc]simplify: iters left: 4 (26 enodes) 1538408781.422 * * [misc]simplify: iters left: 3 (28 enodes) 1538408781.432 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408781.433 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408781.433 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1538408781.433 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408781.434 * * [misc]simplify: iters left: 6 (10 enodes) 1538408781.438 * * [misc]simplify: iters left: 5 (17 enodes) 1538408781.445 * * [misc]simplify: iters left: 4 (28 enodes) 1538408781.456 * * [misc]simplify: iters left: 3 (33 enodes) 1538408781.465 * * [misc]simplify: iters left: 2 (50 enodes) 1538408781.484 * * [misc]simplify: iters left: 1 (65 enodes) 1538408781.508 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538408781.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408781.508 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408781.509 * * [misc]simplify: iters left: 6 (15 enodes) 1538408781.515 * * [misc]simplify: iters left: 5 (21 enodes) 1538408781.523 * * [misc]simplify: iters left: 4 (25 enodes) 1538408781.531 * * [misc]simplify: iters left: 3 (27 enodes) 1538408781.542 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1538408781.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1538408781.542 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1538408781.542 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408781.543 * * [misc]simplify: iters left: 6 (12 enodes) 1538408781.548 * * [misc]simplify: iters left: 5 (17 enodes) 1538408781.553 * * [misc]simplify: iters left: 4 (20 enodes) 1538408781.560 * * [misc]simplify: iters left: 3 (22 enodes) 1538408781.568 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538408781.568 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408781.568 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408781.569 * * [misc]simplify: iters left: 6 (13 enodes) 1538408781.574 * * [misc]simplify: iters left: 5 (18 enodes) 1538408781.581 * * [misc]simplify: iters left: 4 (21 enodes) 1538408781.587 * * [misc]simplify: iters left: 3 (23 enodes) 1538408781.592 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538408781.592 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538408781.592 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1538408781.592 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408781.592 * * [misc]simplify: iters left: 6 (12 enodes) 1538408781.595 * * [misc]simplify: iters left: 5 (17 enodes) 1538408781.598 * * [misc]simplify: iters left: 4 (20 enodes) 1538408781.601 * * [misc]simplify: iters left: 3 (22 enodes) 1538408781.605 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538408781.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408781.605 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408781.606 * * [misc]simplify: iters left: 6 (13 enodes) 1538408781.609 * * [misc]simplify: iters left: 5 (18 enodes) 1538408781.612 * * [misc]simplify: iters left: 4 (21 enodes) 1538408781.615 * * [misc]simplify: iters left: 3 (23 enodes) 1538408781.621 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538408781.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538408781.621 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1538408781.621 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408781.622 * * [misc]simplify: iters left: 6 (13 enodes) 1538408781.627 * * [misc]simplify: iters left: 5 (18 enodes) 1538408781.634 * * [misc]simplify: iters left: 4 (24 enodes) 1538408781.642 * * [misc]simplify: iters left: 3 (26 enodes) 1538408781.651 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408781.651 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408781.651 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408781.652 * * [misc]simplify: iters left: 6 (13 enodes) 1538408781.657 * * [misc]simplify: iters left: 5 (18 enodes) 1538408781.663 * * [misc]simplify: iters left: 4 (22 enodes) 1538408781.667 * * [misc]simplify: iters left: 3 (24 enodes) 1538408781.672 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538408781.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538408781.672 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1538408781.672 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408781.673 * * [misc]simplify: iters left: 6 (16 enodes) 1538408781.678 * * [misc]simplify: iters left: 5 (24 enodes) 1538408781.683 * * [misc]simplify: iters left: 4 (32 enodes) 1538408781.689 * * [misc]simplify: iters left: 3 (41 enodes) 1538408781.696 * * [misc]simplify: iters left: 2 (49 enodes) 1538408781.704 * * [misc]simplify: iters left: 1 (51 enodes) 1538408781.729 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408781.729 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408781.730 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408781.731 * * [misc]simplify: iters left: 6 (16 enodes) 1538408781.738 * * [misc]simplify: iters left: 5 (22 enodes) 1538408781.746 * * [misc]simplify: iters left: 4 (26 enodes) 1538408781.754 * * [misc]simplify: iters left: 3 (28 enodes) 1538408781.764 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408781.764 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408781.764 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1538408781.765 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408781.766 * * [misc]simplify: iters left: 6 (15 enodes) 1538408781.772 * * [misc]simplify: iters left: 5 (21 enodes) 1538408781.779 * * [misc]simplify: iters left: 4 (27 enodes) 1538408781.791 * * [misc]simplify: iters left: 3 (29 enodes) 1538408781.798 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408781.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408781.799 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408781.800 * * [misc]simplify: iters left: 6 (16 enodes) 1538408781.803 * * [misc]simplify: iters left: 5 (22 enodes) 1538408781.806 * * [misc]simplify: iters left: 4 (26 enodes) 1538408781.811 * * [misc]simplify: iters left: 3 (28 enodes) 1538408781.816 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408781.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408781.816 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1538408781.816 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1538408781.817 * * [misc]simplify: iters left: 6 (9 enodes) 1538408781.819 * * [misc]simplify: iters left: 5 (14 enodes) 1538408781.822 * * [misc]simplify: iters left: 4 (21 enodes) 1538408781.825 * * [misc]simplify: iters left: 3 (23 enodes) 1538408781.828 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538408781.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408781.828 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408781.829 * * [misc]simplify: iters left: 6 (15 enodes) 1538408781.833 * * [misc]simplify: iters left: 5 (21 enodes) 1538408781.837 * * [misc]simplify: iters left: 4 (25 enodes) 1538408781.842 * * [misc]simplify: iters left: 3 (27 enodes) 1538408781.847 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1538408781.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1538408781.847 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1538408781.848 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538408781.848 * * [misc]simplify: iters left: 6 (10 enodes) 1538408781.850 * * [misc]simplify: iters left: 5 (17 enodes) 1538408781.853 * * [misc]simplify: iters left: 4 (19 enodes) 1538408781.857 * * [misc]simplify: iters left: 3 (28 enodes) 1538408781.863 * * [misc]simplify: iters left: 2 (31 enodes) 1538408781.874 * * [misc]simplify: iters left: 1 (33 enodes) 1538408781.882 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538408781.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408781.883 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408781.884 * * [misc]simplify: iters left: 6 (12 enodes) 1538408781.889 * * [misc]simplify: iters left: 5 (17 enodes) 1538408781.895 * * [misc]simplify: iters left: 4 (20 enodes) 1538408781.902 * * [misc]simplify: iters left: 3 (22 enodes) 1538408781.911 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408781.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408781.911 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1538408781.911 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538408781.912 * * [misc]simplify: iters left: 6 (10 enodes) 1538408781.917 * * [misc]simplify: iters left: 5 (17 enodes) 1538408781.922 * * [misc]simplify: iters left: 4 (19 enodes) 1538408781.930 * * [misc]simplify: iters left: 3 (28 enodes) 1538408781.938 * * [misc]simplify: iters left: 2 (31 enodes) 1538408781.946 * * [misc]simplify: iters left: 1 (33 enodes) 1538408781.955 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538408781.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408781.955 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408781.957 * * [misc]simplify: iters left: 6 (12 enodes) 1538408781.961 * * [misc]simplify: iters left: 5 (17 enodes) 1538408781.967 * * [misc]simplify: iters left: 4 (20 enodes) 1538408781.973 * * [misc]simplify: iters left: 3 (22 enodes) 1538408781.982 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408781.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408781.982 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1538408781.982 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408781.983 * * [misc]simplify: iters left: 6 (12 enodes) 1538408781.988 * * [misc]simplify: iters left: 5 (19 enodes) 1538408781.995 * * [misc]simplify: iters left: 4 (24 enodes) 1538408782.004 * * [misc]simplify: iters left: 3 (33 enodes) 1538408782.015 * * [misc]simplify: iters left: 2 (36 enodes) 1538408782.025 * * [misc]simplify: iters left: 1 (39 enodes) 1538408782.037 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1538408782.037 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408782.038 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408782.039 * * [misc]simplify: iters left: 6 (12 enodes) 1538408782.044 * * [misc]simplify: iters left: 5 (17 enodes) 1538408782.050 * * [misc]simplify: iters left: 4 (21 enodes) 1538408782.056 * * [misc]simplify: iters left: 3 (23 enodes) 1538408782.064 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408782.064 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538408782.064 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1538408782.064 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.065 * * [misc]simplify: iters left: 6 (15 enodes) 1538408782.068 * * [misc]simplify: iters left: 5 (25 enodes) 1538408782.073 * * [misc]simplify: iters left: 4 (32 enodes) 1538408782.080 * * [misc]simplify: iters left: 3 (47 enodes) 1538408782.088 * * [misc]simplify: iters left: 2 (62 enodes) 1538408782.099 * * [misc]simplify: iters left: 1 (76 enodes) 1538408782.117 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1538408782.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408782.118 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408782.119 * * [misc]simplify: iters left: 6 (15 enodes) 1538408782.122 * * [misc]simplify: iters left: 5 (21 enodes) 1538408782.125 * * [misc]simplify: iters left: 4 (25 enodes) 1538408782.129 * * [misc]simplify: iters left: 3 (27 enodes) 1538408782.137 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538408782.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538408782.137 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1538408782.138 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408782.139 * * [misc]simplify: iters left: 6 (14 enodes) 1538408782.144 * * [misc]simplify: iters left: 5 (22 enodes) 1538408782.151 * * [misc]simplify: iters left: 4 (27 enodes) 1538408782.160 * * [misc]simplify: iters left: 3 (36 enodes) 1538408782.169 * * [misc]simplify: iters left: 2 (39 enodes) 1538408782.178 * * [misc]simplify: iters left: 1 (42 enodes) 1538408782.191 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1538408782.191 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408782.191 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408782.192 * * [misc]simplify: iters left: 6 (15 enodes) 1538408782.195 * * [misc]simplify: iters left: 5 (21 enodes) 1538408782.199 * * [misc]simplify: iters left: 4 (25 enodes) 1538408782.205 * * [misc]simplify: iters left: 3 (27 enodes) 1538408782.210 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538408782.210 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538408782.210 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1538408782.210 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1538408782.211 * * [misc]simplify: iters left: 4 (6 enodes) 1538408782.212 * * [misc]simplify: iters left: 3 (9 enodes) 1538408782.213 * [exit]simplify: Simplified to (sqrt PI) 1538408782.213 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.213 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408782.214 * * [misc]simplify: iters left: 6 (14 enodes) 1538408782.217 * * [misc]simplify: iters left: 5 (20 enodes) 1538408782.220 * * [misc]simplify: iters left: 4 (24 enodes) 1538408782.224 * * [misc]simplify: iters left: 3 (26 enodes) 1538408782.229 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408782.229 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.229 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1538408782.230 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1538408782.230 * * [misc]simplify: iters left: 3 (5 enodes) 1538408782.231 * * [misc]simplify: iters left: 2 (8 enodes) 1538408782.233 * * [misc]simplify: iters left: 1 (10 enodes) 1538408782.234 * [exit]simplify: Simplified to (sqrt PI) 1538408782.234 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.234 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408782.235 * * [misc]simplify: iters left: 6 (14 enodes) 1538408782.238 * * [misc]simplify: iters left: 5 (20 enodes) 1538408782.241 * * [misc]simplify: iters left: 4 (24 enodes) 1538408782.245 * * [misc]simplify: iters left: 3 (26 enodes) 1538408782.250 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408782.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.250 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1538408782.250 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1538408782.251 * * [misc]simplify: iters left: 3 (6 enodes) 1538408782.252 * * [misc]simplify: iters left: 2 (7 enodes) 1538408782.255 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538408782.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.255 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408782.256 * * [misc]simplify: iters left: 6 (14 enodes) 1538408782.262 * * [misc]simplify: iters left: 5 (22 enodes) 1538408782.270 * * [misc]simplify: iters left: 4 (26 enodes) 1538408782.279 * * [misc]simplify: iters left: 3 (36 enodes) 1538408782.289 * * [misc]simplify: iters left: 2 (38 enodes) 1538408782.300 * * [misc]simplify: iters left: 1 (43 enodes) 1538408782.312 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1538408782.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1538408782.312 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1538408782.312 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408782.313 * * [misc]simplify: iters left: 6 (11 enodes) 1538408782.318 * * [misc]simplify: iters left: 5 (16 enodes) 1538408782.323 * * [misc]simplify: iters left: 4 (19 enodes) 1538408782.328 * * [misc]simplify: iters left: 3 (21 enodes) 1538408782.331 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538408782.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1538408782.332 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1538408782.332 * * [misc]simplify: iters left: 6 (10 enodes) 1538408782.334 * * [misc]simplify: iters left: 5 (13 enodes) 1538408782.337 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1538408782.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1538408782.337 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1538408782.337 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.338 * * [misc]simplify: iters left: 6 (17 enodes) 1538408782.342 * * [misc]simplify: iters left: 5 (26 enodes) 1538408782.347 * * [misc]simplify: iters left: 4 (38 enodes) 1538408782.353 * * [misc]simplify: iters left: 3 (41 enodes) 1538408782.359 * * [misc]simplify: iters left: 2 (44 enodes) 1538408782.369 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408782.370 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408782.371 * * [misc]simplify: iters left: 6 (15 enodes) 1538408782.374 * * [misc]simplify: iters left: 5 (18 enodes) 1538408782.377 * * [misc]simplify: iters left: 4 (21 enodes) 1538408782.383 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408782.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408782.383 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1538408782.383 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408782.384 * * [misc]simplify: iters left: 6 (16 enodes) 1538408782.388 * * [misc]simplify: iters left: 5 (21 enodes) 1538408782.392 * * [misc]simplify: iters left: 4 (26 enodes) 1538408782.396 * * [misc]simplify: iters left: 3 (27 enodes) 1538408782.401 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408782.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408782.401 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408782.402 * * [misc]simplify: iters left: 6 (15 enodes) 1538408782.405 * * [misc]simplify: iters left: 5 (18 enodes) 1538408782.408 * * [misc]simplify: iters left: 4 (21 enodes) 1538408782.416 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408782.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408782.416 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1538408782.417 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408782.418 * * [misc]simplify: iters left: 6 (17 enodes) 1538408782.426 * * [misc]simplify: iters left: 5 (27 enodes) 1538408782.437 * * [misc]simplify: iters left: 4 (45 enodes) 1538408782.459 * * [misc]simplify: iters left: 3 (86 enodes) 1538408782.501 * * [misc]simplify: iters left: 2 (137 enodes) 1538408782.536 * * [misc]simplify: iters left: 1 (166 enodes) 1538408782.587 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408782.587 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408782.587 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408782.588 * * [misc]simplify: iters left: 6 (16 enodes) 1538408782.591 * * [misc]simplify: iters left: 5 (22 enodes) 1538408782.595 * * [misc]simplify: iters left: 4 (26 enodes) 1538408782.599 * * [misc]simplify: iters left: 3 (28 enodes) 1538408782.604 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408782.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408782.604 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1538408782.604 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408782.605 * * [misc]simplify: iters left: 6 (17 enodes) 1538408782.609 * * [misc]simplify: iters left: 5 (27 enodes) 1538408782.615 * * [misc]simplify: iters left: 4 (45 enodes) 1538408782.626 * * [misc]simplify: iters left: 3 (86 enodes) 1538408782.649 * * [misc]simplify: iters left: 2 (137 enodes) 1538408782.680 * * [misc]simplify: iters left: 1 (166 enodes) 1538408782.758 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408782.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408782.758 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408782.760 * * [misc]simplify: iters left: 6 (16 enodes) 1538408782.765 * * [misc]simplify: iters left: 5 (22 enodes) 1538408782.769 * * [misc]simplify: iters left: 4 (26 enodes) 1538408782.773 * * [misc]simplify: iters left: 3 (28 enodes) 1538408782.778 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408782.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408782.778 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1538408782.778 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408782.779 * * [misc]simplify: iters left: 6 (16 enodes) 1538408782.782 * * [misc]simplify: iters left: 5 (24 enodes) 1538408782.788 * * [misc]simplify: iters left: 4 (42 enodes) 1538408782.802 * * [misc]simplify: iters left: 3 (83 enodes) 1538408782.843 * * [misc]simplify: iters left: 2 (134 enodes) 1538408782.898 * * [misc]simplify: iters left: 1 (163 enodes) 1538408782.943 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408782.943 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408782.943 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408782.944 * * [misc]simplify: iters left: 6 (13 enodes) 1538408782.946 * * [misc]simplify: iters left: 5 (17 enodes) 1538408782.952 * * [misc]simplify: iters left: 4 (23 enodes) 1538408782.960 * * [misc]simplify: iters left: 3 (25 enodes) 1538408782.969 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408782.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408782.969 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1538408782.969 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408782.971 * * [misc]simplify: iters left: 6 (19 enodes) 1538408782.980 * * [misc]simplify: iters left: 5 (32 enodes) 1538408782.996 * * [misc]simplify: iters left: 4 (66 enodes) 1538408783.020 * * [misc]simplify: iters left: 3 (135 enodes) 1538408783.080 * * [misc]simplify: iters left: 2 (266 enodes) 1538408783.197 * * [misc]simplify: iters left: 1 (376 enodes) 1538408783.505 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1538408783.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408783.506 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408783.508 * * [misc]simplify: iters left: 6 (16 enodes) 1538408783.514 * * [misc]simplify: iters left: 5 (21 enodes) 1538408783.521 * * [misc]simplify: iters left: 4 (27 enodes) 1538408783.530 * * [misc]simplify: iters left: 3 (29 enodes) 1538408783.542 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408783.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408783.542 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1538408783.543 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408783.544 * * [misc]simplify: iters left: 6 (18 enodes) 1538408783.548 * * [misc]simplify: iters left: 5 (27 enodes) 1538408783.555 * * [misc]simplify: iters left: 4 (45 enodes) 1538408783.567 * * [misc]simplify: iters left: 3 (86 enodes) 1538408783.592 * * [misc]simplify: iters left: 2 (137 enodes) 1538408783.634 * * [misc]simplify: iters left: 1 (166 enodes) 1538408783.721 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408783.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408783.721 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408783.723 * * [misc]simplify: iters left: 6 (16 enodes) 1538408783.729 * * [misc]simplify: iters left: 5 (21 enodes) 1538408783.736 * * [misc]simplify: iters left: 4 (27 enodes) 1538408783.744 * * [misc]simplify: iters left: 3 (29 enodes) 1538408783.756 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408783.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408783.756 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1538408783.757 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408783.759 * * [misc]simplify: iters left: 6 (15 enodes) 1538408783.765 * * [misc]simplify: iters left: 5 (25 enodes) 1538408783.778 * * [misc]simplify: iters left: 4 (46 enodes) 1538408783.790 * * [misc]simplify: iters left: 3 (70 enodes) 1538408783.811 * * [misc]simplify: iters left: 2 (144 enodes) 1538408783.895 * * [misc]simplify: iters left: 1 (214 enodes) 1538408783.976 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538408783.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408783.976 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408783.978 * * [misc]simplify: iters left: 6 (15 enodes) 1538408783.984 * * [misc]simplify: iters left: 5 (20 enodes) 1538408783.992 * * [misc]simplify: iters left: 4 (26 enodes) 1538408783.999 * * [misc]simplify: iters left: 3 (28 enodes) 1538408784.009 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408784.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408784.009 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1538408784.009 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408784.011 * * [misc]simplify: iters left: 6 (16 enodes) 1538408784.018 * * [misc]simplify: iters left: 5 (24 enodes) 1538408784.026 * * [misc]simplify: iters left: 4 (34 enodes) 1538408784.035 * * [misc]simplify: iters left: 3 (46 enodes) 1538408784.046 * * [misc]simplify: iters left: 2 (58 enodes) 1538408784.055 * * [misc]simplify: iters left: 1 (64 enodes) 1538408784.070 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538408784.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408784.070 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408784.071 * * [misc]simplify: iters left: 6 (16 enodes) 1538408784.074 * * [misc]simplify: iters left: 5 (22 enodes) 1538408784.078 * * [misc]simplify: iters left: 4 (26 enodes) 1538408784.086 * * [misc]simplify: iters left: 3 (28 enodes) 1538408784.096 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408784.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408784.096 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1538408784.096 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408784.098 * * [misc]simplify: iters left: 6 (16 enodes) 1538408784.105 * * [misc]simplify: iters left: 5 (24 enodes) 1538408784.114 * * [misc]simplify: iters left: 4 (34 enodes) 1538408784.127 * * [misc]simplify: iters left: 3 (46 enodes) 1538408784.144 * * [misc]simplify: iters left: 2 (58 enodes) 1538408784.162 * * [misc]simplify: iters left: 1 (64 enodes) 1538408784.183 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538408784.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408784.183 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408784.184 * * [misc]simplify: iters left: 6 (16 enodes) 1538408784.188 * * [misc]simplify: iters left: 5 (22 enodes) 1538408784.191 * * [misc]simplify: iters left: 4 (26 enodes) 1538408784.196 * * [misc]simplify: iters left: 3 (28 enodes) 1538408784.201 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408784.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408784.201 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1538408784.201 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408784.202 * * [misc]simplify: iters left: 6 (15 enodes) 1538408784.205 * * [misc]simplify: iters left: 5 (21 enodes) 1538408784.210 * * [misc]simplify: iters left: 4 (31 enodes) 1538408784.216 * * [misc]simplify: iters left: 3 (43 enodes) 1538408784.224 * * [misc]simplify: iters left: 2 (55 enodes) 1538408784.243 * * [misc]simplify: iters left: 1 (61 enodes) 1538408784.270 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408784.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408784.271 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408784.272 * * [misc]simplify: iters left: 6 (13 enodes) 1538408784.277 * * [misc]simplify: iters left: 5 (17 enodes) 1538408784.284 * * [misc]simplify: iters left: 4 (23 enodes) 1538408784.292 * * [misc]simplify: iters left: 3 (25 enodes) 1538408784.300 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408784.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408784.300 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1538408784.301 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408784.303 * * [misc]simplify: iters left: 6 (18 enodes) 1538408784.310 * * [misc]simplify: iters left: 5 (27 enodes) 1538408784.321 * * [misc]simplify: iters left: 4 (41 enodes) 1538408784.337 * * [misc]simplify: iters left: 3 (67 enodes) 1538408784.368 * * [misc]simplify: iters left: 2 (106 enodes) 1538408784.411 * * [misc]simplify: iters left: 1 (137 enodes) 1538408784.481 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538408784.481 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408784.482 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408784.483 * * [misc]simplify: iters left: 6 (16 enodes) 1538408784.488 * * [misc]simplify: iters left: 5 (21 enodes) 1538408784.495 * * [misc]simplify: iters left: 4 (27 enodes) 1538408784.502 * * [misc]simplify: iters left: 3 (29 enodes) 1538408784.512 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408784.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408784.512 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1538408784.513 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408784.515 * * [misc]simplify: iters left: 6 (17 enodes) 1538408784.521 * * [misc]simplify: iters left: 5 (24 enodes) 1538408784.530 * * [misc]simplify: iters left: 4 (34 enodes) 1538408784.543 * * [misc]simplify: iters left: 3 (46 enodes) 1538408784.558 * * [misc]simplify: iters left: 2 (58 enodes) 1538408784.576 * * [misc]simplify: iters left: 1 (64 enodes) 1538408784.592 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408784.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408784.593 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408784.594 * * [misc]simplify: iters left: 6 (16 enodes) 1538408784.597 * * [misc]simplify: iters left: 5 (21 enodes) 1538408784.601 * * [misc]simplify: iters left: 4 (27 enodes) 1538408784.605 * * [misc]simplify: iters left: 3 (29 enodes) 1538408784.611 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408784.611 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408784.611 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1538408784.611 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1538408784.612 * * [misc]simplify: iters left: 6 (14 enodes) 1538408784.615 * * [misc]simplify: iters left: 5 (22 enodes) 1538408784.620 * * [misc]simplify: iters left: 4 (33 enodes) 1538408784.626 * * [misc]simplify: iters left: 3 (44 enodes) 1538408784.632 * * [misc]simplify: iters left: 2 (45 enodes) 1538408784.637 * * [misc]simplify: iters left: 1 (51 enodes) 1538408784.646 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408784.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408784.647 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408784.648 * * [misc]simplify: iters left: 6 (15 enodes) 1538408784.651 * * [misc]simplify: iters left: 5 (20 enodes) 1538408784.657 * * [misc]simplify: iters left: 4 (26 enodes) 1538408784.661 * * [misc]simplify: iters left: 3 (28 enodes) 1538408784.666 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408784.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408784.666 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1538408784.666 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538408784.667 * * [misc]simplify: iters left: 6 (15 enodes) 1538408784.671 * * [misc]simplify: iters left: 5 (25 enodes) 1538408784.676 * * [misc]simplify: iters left: 4 (35 enodes) 1538408784.683 * * [misc]simplify: iters left: 3 (50 enodes) 1538408784.695 * * [misc]simplify: iters left: 2 (98 enodes) 1538408784.740 * * [misc]simplify: iters left: 1 (235 enodes) 1538408784.879 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1538408784.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408784.880 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408784.881 * * [misc]simplify: iters left: 6 (15 enodes) 1538408784.888 * * [misc]simplify: iters left: 5 (21 enodes) 1538408784.895 * * [misc]simplify: iters left: 4 (25 enodes) 1538408784.903 * * [misc]simplify: iters left: 3 (27 enodes) 1538408784.912 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538408784.912 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538408784.913 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1538408784.913 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538408784.914 * * [misc]simplify: iters left: 6 (15 enodes) 1538408784.921 * * [misc]simplify: iters left: 5 (25 enodes) 1538408784.929 * * [misc]simplify: iters left: 4 (35 enodes) 1538408784.940 * * [misc]simplify: iters left: 3 (50 enodes) 1538408784.952 * * [misc]simplify: iters left: 2 (98 enodes) 1538408784.990 * * [misc]simplify: iters left: 1 (235 enodes) 1538408785.064 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1538408785.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408785.065 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408785.065 * * [misc]simplify: iters left: 6 (15 enodes) 1538408785.069 * * [misc]simplify: iters left: 5 (21 enodes) 1538408785.072 * * [misc]simplify: iters left: 4 (25 enodes) 1538408785.076 * * [misc]simplify: iters left: 3 (27 enodes) 1538408785.082 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538408785.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538408785.082 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1538408785.082 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408785.083 * * [misc]simplify: iters left: 6 (14 enodes) 1538408785.086 * * [misc]simplify: iters left: 5 (22 enodes) 1538408785.090 * * [misc]simplify: iters left: 4 (32 enodes) 1538408785.097 * * [misc]simplify: iters left: 3 (47 enodes) 1538408785.111 * * [misc]simplify: iters left: 2 (95 enodes) 1538408785.144 * * [misc]simplify: iters left: 1 (215 enodes) 1538408785.225 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408785.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408785.225 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408785.226 * * [misc]simplify: iters left: 6 (12 enodes) 1538408785.228 * * [misc]simplify: iters left: 5 (16 enodes) 1538408785.231 * * [misc]simplify: iters left: 4 (22 enodes) 1538408785.235 * * [misc]simplify: iters left: 3 (24 enodes) 1538408785.239 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408785.239 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408785.239 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1538408785.239 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408785.240 * * [misc]simplify: iters left: 6 (17 enodes) 1538408785.247 * * [misc]simplify: iters left: 5 (28 enodes) 1538408785.258 * * [misc]simplify: iters left: 4 (42 enodes) 1538408785.277 * * [misc]simplify: iters left: 3 (69 enodes) 1538408785.299 * * [misc]simplify: iters left: 2 (137 enodes) 1538408785.375 * * [misc]simplify: iters left: 1 (398 enodes) 1538408785.658 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408785.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408785.659 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408785.660 * * [misc]simplify: iters left: 6 (15 enodes) 1538408785.662 * * [misc]simplify: iters left: 5 (20 enodes) 1538408785.666 * * [misc]simplify: iters left: 4 (26 enodes) 1538408785.670 * * [misc]simplify: iters left: 3 (28 enodes) 1538408785.677 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408785.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408785.678 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1538408785.678 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408785.679 * * [misc]simplify: iters left: 6 (16 enodes) 1538408785.682 * * [misc]simplify: iters left: 5 (25 enodes) 1538408785.687 * * [misc]simplify: iters left: 4 (35 enodes) 1538408785.694 * * [misc]simplify: iters left: 3 (50 enodes) 1538408785.704 * * [misc]simplify: iters left: 2 (73 enodes) 1538408785.724 * * [misc]simplify: iters left: 1 (148 enodes) 1538408785.789 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408785.789 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408785.789 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408785.790 * * [misc]simplify: iters left: 6 (15 enodes) 1538408785.793 * * [misc]simplify: iters left: 5 (20 enodes) 1538408785.797 * * [misc]simplify: iters left: 4 (26 enodes) 1538408785.801 * * [misc]simplify: iters left: 3 (28 enodes) 1538408785.806 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408785.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408785.807 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1538408785.807 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1538408785.808 * * [misc]simplify: iters left: 6 (12 enodes) 1538408785.810 * * [misc]simplify: iters left: 5 (18 enodes) 1538408785.815 * * [misc]simplify: iters left: 4 (21 enodes) 1538408785.823 * * [misc]simplify: iters left: 3 (29 enodes) 1538408785.834 * * [misc]simplify: iters left: 2 (31 enodes) 1538408785.842 * * [misc]simplify: iters left: 1 (38 enodes) 1538408785.852 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408785.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408785.853 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408785.853 * * [misc]simplify: iters left: 6 (14 enodes) 1538408785.856 * * [misc]simplify: iters left: 5 (19 enodes) 1538408785.860 * * [misc]simplify: iters left: 4 (25 enodes) 1538408785.864 * * [misc]simplify: iters left: 3 (27 enodes) 1538408785.869 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408785.869 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408785.869 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1538408785.869 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1538408785.870 * * [misc]simplify: iters left: 6 (11 enodes) 1538408785.872 * * [misc]simplify: iters left: 5 (17 enodes) 1538408785.877 * * [misc]simplify: iters left: 4 (26 enodes) 1538408785.884 * * [misc]simplify: iters left: 3 (28 enodes) 1538408785.891 * * [misc]simplify: iters left: 2 (33 enodes) 1538408785.900 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408785.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408785.900 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408785.902 * * [misc]simplify: iters left: 6 (14 enodes) 1538408785.905 * * [misc]simplify: iters left: 5 (19 enodes) 1538408785.909 * * [misc]simplify: iters left: 4 (25 enodes) 1538408785.913 * * [misc]simplify: iters left: 3 (27 enodes) 1538408785.918 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408785.918 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408785.918 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1538408785.918 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1538408785.919 * * [misc]simplify: iters left: 6 (11 enodes) 1538408785.921 * * [misc]simplify: iters left: 5 (15 enodes) 1538408785.926 * * [misc]simplify: iters left: 4 (20 enodes) 1538408785.929 * * [misc]simplify: iters left: 3 (21 enodes) 1538408785.933 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408785.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408785.934 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408785.934 * * [misc]simplify: iters left: 6 (14 enodes) 1538408785.937 * * [misc]simplify: iters left: 5 (21 enodes) 1538408785.942 * * [misc]simplify: iters left: 4 (27 enodes) 1538408785.948 * * [misc]simplify: iters left: 3 (37 enodes) 1538408785.954 * * [misc]simplify: iters left: 2 (39 enodes) 1538408785.961 * * [misc]simplify: iters left: 1 (44 enodes) 1538408785.973 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408785.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538408785.973 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1538408785.973 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408785.975 * * [misc]simplify: iters left: 6 (15 enodes) 1538408785.981 * * [misc]simplify: iters left: 5 (23 enodes) 1538408785.989 * * [misc]simplify: iters left: 4 (33 enodes) 1538408786.001 * * [misc]simplify: iters left: 3 (45 enodes) 1538408786.014 * * [misc]simplify: iters left: 2 (57 enodes) 1538408786.032 * * [misc]simplify: iters left: 1 (63 enodes) 1538408786.047 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408786.047 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538408786.048 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538408786.049 * * [misc]simplify: iters left: 6 (12 enodes) 1538408786.051 * * [misc]simplify: iters left: 5 (15 enodes) 1538408786.054 * * [misc]simplify: iters left: 4 (18 enodes) 1538408786.058 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538408786.058 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538408786.058 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1538408786.058 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408786.059 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.063 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.067 * * [misc]simplify: iters left: 4 (24 enodes) 1538408786.077 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408786.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408786.077 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.079 * * [misc]simplify: iters left: 6 (15 enodes) 1538408786.084 * * [misc]simplify: iters left: 5 (18 enodes) 1538408786.091 * * [misc]simplify: iters left: 4 (21 enodes) 1538408786.099 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408786.099 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408786.099 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1538408786.100 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.101 * * [misc]simplify: iters left: 6 (15 enodes) 1538408786.107 * * [misc]simplify: iters left: 5 (18 enodes) 1538408786.113 * * [misc]simplify: iters left: 4 (21 enodes) 1538408786.121 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408786.121 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408786.121 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.123 * * [misc]simplify: iters left: 6 (15 enodes) 1538408786.128 * * [misc]simplify: iters left: 5 (18 enodes) 1538408786.136 * * [misc]simplify: iters left: 4 (21 enodes) 1538408786.144 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408786.144 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408786.145 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1538408786.145 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408786.147 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.150 * * [misc]simplify: iters left: 5 (24 enodes) 1538408786.156 * * [misc]simplify: iters left: 4 (34 enodes) 1538408786.164 * * [misc]simplify: iters left: 3 (46 enodes) 1538408786.172 * * [misc]simplify: iters left: 2 (51 enodes) 1538408786.181 * * [misc]simplify: iters left: 1 (58 enodes) 1538408786.203 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1538408786.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.204 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.206 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.212 * * [misc]simplify: iters left: 5 (22 enodes) 1538408786.220 * * [misc]simplify: iters left: 4 (26 enodes) 1538408786.226 * * [misc]simplify: iters left: 3 (28 enodes) 1538408786.231 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.231 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.231 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1538408786.231 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408786.232 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.237 * * [misc]simplify: iters left: 5 (24 enodes) 1538408786.241 * * [misc]simplify: iters left: 4 (34 enodes) 1538408786.248 * * [misc]simplify: iters left: 3 (46 enodes) 1538408786.255 * * [misc]simplify: iters left: 2 (51 enodes) 1538408786.263 * * [misc]simplify: iters left: 1 (58 enodes) 1538408786.274 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1538408786.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.274 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.275 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.278 * * [misc]simplify: iters left: 5 (22 enodes) 1538408786.282 * * [misc]simplify: iters left: 4 (26 enodes) 1538408786.286 * * [misc]simplify: iters left: 3 (28 enodes) 1538408786.291 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.292 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1538408786.292 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408786.293 * * [misc]simplify: iters left: 6 (15 enodes) 1538408786.296 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.301 * * [misc]simplify: iters left: 4 (31 enodes) 1538408786.309 * * [misc]simplify: iters left: 3 (43 enodes) 1538408786.316 * * [misc]simplify: iters left: 2 (48 enodes) 1538408786.324 * * [misc]simplify: iters left: 1 (55 enodes) 1538408786.340 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408786.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408786.340 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408786.341 * * [misc]simplify: iters left: 6 (13 enodes) 1538408786.343 * * [misc]simplify: iters left: 5 (17 enodes) 1538408786.347 * * [misc]simplify: iters left: 4 (23 enodes) 1538408786.350 * * [misc]simplify: iters left: 3 (25 enodes) 1538408786.355 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408786.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408786.355 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1538408786.355 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408786.357 * * [misc]simplify: iters left: 6 (18 enodes) 1538408786.361 * * [misc]simplify: iters left: 5 (29 enodes) 1538408786.368 * * [misc]simplify: iters left: 4 (50 enodes) 1538408786.383 * * [misc]simplify: iters left: 3 (73 enodes) 1538408786.402 * * [misc]simplify: iters left: 2 (103 enodes) 1538408786.422 * * [misc]simplify: iters left: 1 (127 enodes) 1538408786.459 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538408786.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408786.459 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.461 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.467 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.475 * * [misc]simplify: iters left: 4 (27 enodes) 1538408786.483 * * [misc]simplify: iters left: 3 (29 enodes) 1538408786.495 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408786.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408786.495 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1538408786.496 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.497 * * [misc]simplify: iters left: 6 (17 enodes) 1538408786.504 * * [misc]simplify: iters left: 5 (24 enodes) 1538408786.513 * * [misc]simplify: iters left: 4 (34 enodes) 1538408786.526 * * [misc]simplify: iters left: 3 (46 enodes) 1538408786.540 * * [misc]simplify: iters left: 2 (51 enodes) 1538408786.555 * * [misc]simplify: iters left: 1 (58 enodes) 1538408786.576 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408786.576 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408786.577 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.579 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.582 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.586 * * [misc]simplify: iters left: 4 (27 enodes) 1538408786.590 * * [misc]simplify: iters left: 3 (29 enodes) 1538408786.596 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408786.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408786.597 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1538408786.597 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408786.599 * * [misc]simplify: iters left: 6 (14 enodes) 1538408786.604 * * [misc]simplify: iters left: 5 (22 enodes) 1538408786.613 * * [misc]simplify: iters left: 4 (36 enodes) 1538408786.626 * * [misc]simplify: iters left: 3 (57 enodes) 1538408786.650 * * [misc]simplify: iters left: 2 (119 enodes) 1538408786.711 * * [misc]simplify: iters left: 1 (178 enodes) 1538408786.749 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408786.749 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408786.749 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408786.750 * * [misc]simplify: iters left: 6 (15 enodes) 1538408786.756 * * [misc]simplify: iters left: 5 (20 enodes) 1538408786.763 * * [misc]simplify: iters left: 4 (26 enodes) 1538408786.771 * * [misc]simplify: iters left: 3 (28 enodes) 1538408786.781 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408786.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408786.781 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1538408786.781 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408786.783 * * [misc]simplify: iters left: 6 (15 enodes) 1538408786.789 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.795 * * [misc]simplify: iters left: 4 (27 enodes) 1538408786.803 * * [misc]simplify: iters left: 3 (29 enodes) 1538408786.812 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1538408786.812 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.815 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.816 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.819 * * [misc]simplify: iters left: 5 (22 enodes) 1538408786.823 * * [misc]simplify: iters left: 4 (26 enodes) 1538408786.827 * * [misc]simplify: iters left: 3 (28 enodes) 1538408786.833 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.833 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1538408786.834 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408786.835 * * [misc]simplify: iters left: 6 (15 enodes) 1538408786.838 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.842 * * [misc]simplify: iters left: 4 (27 enodes) 1538408786.846 * * [misc]simplify: iters left: 3 (29 enodes) 1538408786.851 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1538408786.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.851 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.852 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.856 * * [misc]simplify: iters left: 5 (22 enodes) 1538408786.859 * * [misc]simplify: iters left: 4 (26 enodes) 1538408786.863 * * [misc]simplify: iters left: 3 (28 enodes) 1538408786.868 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408786.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408786.868 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1538408786.869 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408786.869 * * [misc]simplify: iters left: 6 (14 enodes) 1538408786.873 * * [misc]simplify: iters left: 5 (18 enodes) 1538408786.880 * * [misc]simplify: iters left: 4 (24 enodes) 1538408786.887 * * [misc]simplify: iters left: 3 (26 enodes) 1538408786.896 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408786.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408786.896 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408786.900 * * [misc]simplify: iters left: 6 (13 enodes) 1538408786.904 * * [misc]simplify: iters left: 5 (17 enodes) 1538408786.910 * * [misc]simplify: iters left: 4 (23 enodes) 1538408786.918 * * [misc]simplify: iters left: 3 (25 enodes) 1538408786.923 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408786.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408786.923 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1538408786.923 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408786.924 * * [misc]simplify: iters left: 6 (17 enodes) 1538408786.928 * * [misc]simplify: iters left: 5 (24 enodes) 1538408786.933 * * [misc]simplify: iters left: 4 (32 enodes) 1538408786.938 * * [misc]simplify: iters left: 3 (41 enodes) 1538408786.945 * * [misc]simplify: iters left: 2 (49 enodes) 1538408786.952 * * [misc]simplify: iters left: 1 (51 enodes) 1538408786.964 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408786.965 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.965 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.969 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.973 * * [misc]simplify: iters left: 4 (27 enodes) 1538408786.979 * * [misc]simplify: iters left: 3 (29 enodes) 1538408786.985 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408786.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408786.985 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1538408786.985 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408786.986 * * [misc]simplify: iters left: 6 (16 enodes) 1538408786.990 * * [misc]simplify: iters left: 5 (21 enodes) 1538408786.998 * * [misc]simplify: iters left: 4 (27 enodes) 1538408787.006 * * [misc]simplify: iters left: 3 (29 enodes) 1538408787.017 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408787.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408787.017 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.019 * * [misc]simplify: iters left: 6 (16 enodes) 1538408787.025 * * [misc]simplify: iters left: 5 (21 enodes) 1538408787.032 * * [misc]simplify: iters left: 4 (27 enodes) 1538408787.038 * * [misc]simplify: iters left: 3 (29 enodes) 1538408787.044 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408787.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408787.044 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1538408787.044 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1538408787.045 * * [misc]simplify: iters left: 6 (13 enodes) 1538408787.047 * * [misc]simplify: iters left: 5 (19 enodes) 1538408787.052 * * [misc]simplify: iters left: 4 (29 enodes) 1538408787.057 * * [misc]simplify: iters left: 3 (33 enodes) 1538408787.061 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408787.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408787.061 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408787.062 * * [misc]simplify: iters left: 6 (15 enodes) 1538408787.066 * * [misc]simplify: iters left: 5 (20 enodes) 1538408787.071 * * [misc]simplify: iters left: 4 (26 enodes) 1538408787.075 * * [misc]simplify: iters left: 3 (28 enodes) 1538408787.080 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408787.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408787.080 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1538408787.080 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1538408787.081 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.085 * * [misc]simplify: iters left: 5 (22 enodes) 1538408787.089 * * [misc]simplify: iters left: 4 (28 enodes) 1538408787.095 * * [misc]simplify: iters left: 3 (38 enodes) 1538408787.101 * * [misc]simplify: iters left: 2 (40 enodes) 1538408787.105 * * [misc]simplify: iters left: 1 (45 enodes) 1538408787.113 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408787.113 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408787.113 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408787.115 * * [misc]simplify: iters left: 6 (15 enodes) 1538408787.120 * * [misc]simplify: iters left: 5 (21 enodes) 1538408787.128 * * [misc]simplify: iters left: 4 (25 enodes) 1538408787.136 * * [misc]simplify: iters left: 3 (27 enodes) 1538408787.145 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538408787.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538408787.145 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1538408787.146 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1538408787.147 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.153 * * [misc]simplify: iters left: 5 (22 enodes) 1538408787.160 * * [misc]simplify: iters left: 4 (28 enodes) 1538408787.173 * * [misc]simplify: iters left: 3 (38 enodes) 1538408787.184 * * [misc]simplify: iters left: 2 (40 enodes) 1538408787.193 * * [misc]simplify: iters left: 1 (45 enodes) 1538408787.207 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408787.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408787.207 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408787.208 * * [misc]simplify: iters left: 6 (15 enodes) 1538408787.211 * * [misc]simplify: iters left: 5 (21 enodes) 1538408787.215 * * [misc]simplify: iters left: 4 (25 enodes) 1538408787.219 * * [misc]simplify: iters left: 3 (27 enodes) 1538408787.224 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538408787.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538408787.224 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1538408787.224 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408787.225 * * [misc]simplify: iters left: 6 (13 enodes) 1538408787.228 * * [misc]simplify: iters left: 5 (19 enodes) 1538408787.231 * * [misc]simplify: iters left: 4 (25 enodes) 1538408787.237 * * [misc]simplify: iters left: 3 (35 enodes) 1538408787.242 * * [misc]simplify: iters left: 2 (37 enodes) 1538408787.247 * * [misc]simplify: iters left: 1 (42 enodes) 1538408787.260 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408787.260 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408787.260 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408787.261 * * [misc]simplify: iters left: 6 (12 enodes) 1538408787.266 * * [misc]simplify: iters left: 5 (16 enodes) 1538408787.275 * * [misc]simplify: iters left: 4 (22 enodes) 1538408787.283 * * [misc]simplify: iters left: 3 (24 enodes) 1538408787.293 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408787.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408787.293 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1538408787.293 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408787.295 * * [misc]simplify: iters left: 6 (16 enodes) 1538408787.302 * * [misc]simplify: iters left: 5 (25 enodes) 1538408787.310 * * [misc]simplify: iters left: 4 (33 enodes) 1538408787.324 * * [misc]simplify: iters left: 3 (47 enodes) 1538408787.340 * * [misc]simplify: iters left: 2 (56 enodes) 1538408787.357 * * [misc]simplify: iters left: 1 (66 enodes) 1538408787.387 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408787.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408787.387 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.389 * * [misc]simplify: iters left: 6 (15 enodes) 1538408787.394 * * [misc]simplify: iters left: 5 (20 enodes) 1538408787.402 * * [misc]simplify: iters left: 4 (26 enodes) 1538408787.413 * * [misc]simplify: iters left: 3 (28 enodes) 1538408787.424 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408787.424 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408787.424 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1538408787.425 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.426 * * [misc]simplify: iters left: 6 (15 enodes) 1538408787.432 * * [misc]simplify: iters left: 5 (22 enodes) 1538408787.439 * * [misc]simplify: iters left: 4 (28 enodes) 1538408787.450 * * [misc]simplify: iters left: 3 (38 enodes) 1538408787.462 * * [misc]simplify: iters left: 2 (40 enodes) 1538408787.467 * * [misc]simplify: iters left: 1 (45 enodes) 1538408787.474 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408787.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408787.475 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.475 * * [misc]simplify: iters left: 6 (15 enodes) 1538408787.479 * * [misc]simplify: iters left: 5 (20 enodes) 1538408787.482 * * [misc]simplify: iters left: 4 (26 enodes) 1538408787.487 * * [misc]simplify: iters left: 3 (28 enodes) 1538408787.492 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408787.492 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408787.492 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1538408787.493 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1538408787.493 * * [misc]simplify: iters left: 6 (11 enodes) 1538408787.496 * * [misc]simplify: iters left: 5 (15 enodes) 1538408787.501 * * [misc]simplify: iters left: 4 (18 enodes) 1538408787.507 * * [misc]simplify: iters left: 3 (20 enodes) 1538408787.513 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408787.513 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408787.513 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408787.514 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.523 * * [misc]simplify: iters left: 5 (19 enodes) 1538408787.529 * * [misc]simplify: iters left: 4 (25 enodes) 1538408787.532 * * [misc]simplify: iters left: 3 (27 enodes) 1538408787.537 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408787.537 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408787.537 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1538408787.537 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1538408787.538 * * [misc]simplify: iters left: 6 (10 enodes) 1538408787.540 * * [misc]simplify: iters left: 5 (14 enodes) 1538408787.543 * * [misc]simplify: iters left: 4 (19 enodes) 1538408787.546 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408787.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408787.546 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408787.547 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.552 * * [misc]simplify: iters left: 5 (19 enodes) 1538408787.559 * * [misc]simplify: iters left: 4 (25 enodes) 1538408787.567 * * [misc]simplify: iters left: 3 (27 enodes) 1538408787.576 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408787.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408787.576 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1538408787.577 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538408787.578 * * [misc]simplify: iters left: 6 (10 enodes) 1538408787.581 * * [misc]simplify: iters left: 5 (12 enodes) 1538408787.586 * * [misc]simplify: iters left: 4 (15 enodes) 1538408787.591 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538408787.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408787.591 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408787.592 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.598 * * [misc]simplify: iters left: 5 (21 enodes) 1538408787.605 * * [misc]simplify: iters left: 4 (27 enodes) 1538408787.615 * * [misc]simplify: iters left: 3 (37 enodes) 1538408787.625 * * [misc]simplify: iters left: 2 (39 enodes) 1538408787.634 * * [misc]simplify: iters left: 1 (44 enodes) 1538408787.650 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408787.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1538408787.650 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1538408787.650 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408787.652 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.657 * * [misc]simplify: iters left: 5 (20 enodes) 1538408787.664 * * [misc]simplify: iters left: 4 (26 enodes) 1538408787.672 * * [misc]simplify: iters left: 3 (28 enodes) 1538408787.677 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1538408787.677 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538408787.677 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538408787.677 * * [misc]simplify: iters left: 6 (12 enodes) 1538408787.680 * * [misc]simplify: iters left: 5 (15 enodes) 1538408787.682 * * [misc]simplify: iters left: 4 (18 enodes) 1538408787.686 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538408787.686 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538408787.686 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1538408787.686 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408787.687 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.690 * * [misc]simplify: iters left: 5 (21 enodes) 1538408787.693 * * [misc]simplify: iters left: 4 (24 enodes) 1538408787.698 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408787.698 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.699 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.702 * * [misc]simplify: iters left: 5 (17 enodes) 1538408787.705 * * [misc]simplify: iters left: 4 (20 enodes) 1538408787.709 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408787.709 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1538408787.709 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.710 * * [misc]simplify: iters left: 6 (13 enodes) 1538408787.713 * * [misc]simplify: iters left: 5 (18 enodes) 1538408787.716 * * [misc]simplify: iters left: 4 (21 enodes) 1538408787.720 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408787.720 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.721 * * [misc]simplify: iters left: 6 (14 enodes) 1538408787.723 * * [misc]simplify: iters left: 5 (17 enodes) 1538408787.728 * * [misc]simplify: iters left: 4 (20 enodes) 1538408787.731 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408787.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408787.731 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1538408787.732 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408787.732 * * [misc]simplify: iters left: 6 (12 enodes) 1538408787.735 * * [misc]simplify: iters left: 5 (20 enodes) 1538408787.739 * * [misc]simplify: iters left: 4 (27 enodes) 1538408787.745 * * [misc]simplify: iters left: 3 (37 enodes) 1538408787.762 * * [misc]simplify: iters left: 2 (64 enodes) 1538408787.788 * * [misc]simplify: iters left: 1 (93 enodes) 1538408787.837 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408787.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408787.837 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408787.839 * * [misc]simplify: iters left: 6 (15 enodes) 1538408787.849 * * [misc]simplify: iters left: 5 (21 enodes) 1538408787.857 * * [misc]simplify: iters left: 4 (25 enodes) 1538408787.865 * * [misc]simplify: iters left: 3 (27 enodes) 1538408787.876 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408787.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408787.876 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1538408787.877 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408787.878 * * [misc]simplify: iters left: 6 (12 enodes) 1538408787.883 * * [misc]simplify: iters left: 5 (20 enodes) 1538408787.891 * * [misc]simplify: iters left: 4 (27 enodes) 1538408787.900 * * [misc]simplify: iters left: 3 (37 enodes) 1538408787.918 * * [misc]simplify: iters left: 2 (64 enodes) 1538408787.944 * * [misc]simplify: iters left: 1 (93 enodes) 1538408787.994 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408787.994 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408787.994 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408787.996 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.002 * * [misc]simplify: iters left: 5 (21 enodes) 1538408788.009 * * [misc]simplify: iters left: 4 (25 enodes) 1538408788.016 * * [misc]simplify: iters left: 3 (27 enodes) 1538408788.028 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408788.028 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408788.028 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1538408788.028 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408788.030 * * [misc]simplify: iters left: 6 (13 enodes) 1538408788.036 * * [misc]simplify: iters left: 5 (21 enodes) 1538408788.044 * * [misc]simplify: iters left: 4 (31 enodes) 1538408788.051 * * [misc]simplify: iters left: 3 (51 enodes) 1538408788.065 * * [misc]simplify: iters left: 2 (90 enodes) 1538408788.099 * * [misc]simplify: iters left: 1 (181 enodes) 1538408788.198 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408788.198 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408788.199 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408788.200 * * [misc]simplify: iters left: 6 (12 enodes) 1538408788.205 * * [misc]simplify: iters left: 5 (16 enodes) 1538408788.211 * * [misc]simplify: iters left: 4 (22 enodes) 1538408788.218 * * [misc]simplify: iters left: 3 (24 enodes) 1538408788.225 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538408788.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538408788.225 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1538408788.226 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408788.227 * * [misc]simplify: iters left: 6 (16 enodes) 1538408788.231 * * [misc]simplify: iters left: 5 (29 enodes) 1538408788.237 * * [misc]simplify: iters left: 4 (50 enodes) 1538408788.248 * * [misc]simplify: iters left: 3 (70 enodes) 1538408788.279 * * [misc]simplify: iters left: 2 (169 enodes) 1538408788.422 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538408788.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408788.423 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408788.425 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.431 * * [misc]simplify: iters left: 5 (20 enodes) 1538408788.438 * * [misc]simplify: iters left: 4 (26 enodes) 1538408788.446 * * [misc]simplify: iters left: 3 (28 enodes) 1538408788.456 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408788.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408788.456 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1538408788.456 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408788.458 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.462 * * [misc]simplify: iters left: 5 (24 enodes) 1538408788.466 * * [misc]simplify: iters left: 4 (34 enodes) 1538408788.476 * * [misc]simplify: iters left: 3 (54 enodes) 1538408788.490 * * [misc]simplify: iters left: 2 (93 enodes) 1538408788.516 * * [misc]simplify: iters left: 1 (182 enodes) 1538408788.618 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408788.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408788.618 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408788.619 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.623 * * [misc]simplify: iters left: 5 (20 enodes) 1538408788.627 * * [misc]simplify: iters left: 4 (26 enodes) 1538408788.631 * * [misc]simplify: iters left: 3 (28 enodes) 1538408788.636 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408788.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408788.636 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # 1538408788.636 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408788.637 * * [misc]simplify: iters left: 6 (7 enodes) 1538408788.638 * * [misc]simplify: iters left: 5 (13 enodes) 1538408788.642 * * [misc]simplify: iters left: 4 (22 enodes) 1538408788.645 * * [misc]simplify: iters left: 3 (24 enodes) 1538408788.648 * * [misc]simplify: iters left: 2 (29 enodes) 1538408788.656 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1538408788.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408788.657 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408788.661 * * [misc]simplify: iters left: 6 (14 enodes) 1538408788.667 * * [misc]simplify: iters left: 5 (19 enodes) 1538408788.674 * * [misc]simplify: iters left: 4 (25 enodes) 1538408788.682 * * [misc]simplify: iters left: 3 (27 enodes) 1538408788.692 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408788.692 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408788.692 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1538408788.693 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408788.694 * * [misc]simplify: iters left: 6 (11 enodes) 1538408788.698 * * [misc]simplify: iters left: 5 (17 enodes) 1538408788.703 * * [misc]simplify: iters left: 4 (20 enodes) 1538408788.709 * * [misc]simplify: iters left: 3 (22 enodes) 1538408788.719 * * [misc]simplify: iters left: 2 (34 enodes) 1538408788.727 * * [misc]simplify: iters left: 1 (42 enodes) 1538408788.733 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538408788.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408788.733 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408788.734 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.737 * * [misc]simplify: iters left: 5 (21 enodes) 1538408788.741 * * [misc]simplify: iters left: 4 (25 enodes) 1538408788.745 * * [misc]simplify: iters left: 3 (27 enodes) 1538408788.750 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408788.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408788.750 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1538408788.750 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408788.751 * * [misc]simplify: iters left: 6 (11 enodes) 1538408788.753 * * [misc]simplify: iters left: 5 (17 enodes) 1538408788.756 * * [misc]simplify: iters left: 4 (20 enodes) 1538408788.760 * * [misc]simplify: iters left: 3 (22 enodes) 1538408788.766 * * [misc]simplify: iters left: 2 (34 enodes) 1538408788.772 * * [misc]simplify: iters left: 1 (42 enodes) 1538408788.779 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538408788.779 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408788.779 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408788.780 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.783 * * [misc]simplify: iters left: 5 (21 enodes) 1538408788.787 * * [misc]simplify: iters left: 4 (25 enodes) 1538408788.791 * * [misc]simplify: iters left: 3 (27 enodes) 1538408788.797 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408788.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408788.797 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1538408788.797 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408788.798 * * [misc]simplify: iters left: 6 (12 enodes) 1538408788.800 * * [misc]simplify: iters left: 5 (18 enodes) 1538408788.804 * * [misc]simplify: iters left: 4 (24 enodes) 1538408788.813 * * [misc]simplify: iters left: 3 (32 enodes) 1538408788.824 * * [misc]simplify: iters left: 2 (41 enodes) 1538408788.831 * * [misc]simplify: iters left: 1 (51 enodes) 1538408788.839 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408788.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408788.839 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408788.840 * * [misc]simplify: iters left: 6 (12 enodes) 1538408788.843 * * [misc]simplify: iters left: 5 (16 enodes) 1538408788.846 * * [misc]simplify: iters left: 4 (22 enodes) 1538408788.851 * * [misc]simplify: iters left: 3 (24 enodes) 1538408788.856 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538408788.856 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538408788.856 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1538408788.856 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408788.857 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.860 * * [misc]simplify: iters left: 5 (24 enodes) 1538408788.864 * * [misc]simplify: iters left: 4 (32 enodes) 1538408788.873 * * [misc]simplify: iters left: 3 (43 enodes) 1538408788.890 * * [misc]simplify: iters left: 2 (69 enodes) 1538408788.915 * * [misc]simplify: iters left: 1 (119 enodes) 1538408788.973 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408788.973 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408788.973 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408788.975 * * [misc]simplify: iters left: 6 (15 enodes) 1538408788.978 * * [misc]simplify: iters left: 5 (20 enodes) 1538408788.982 * * [misc]simplify: iters left: 4 (26 enodes) 1538408788.986 * * [misc]simplify: iters left: 3 (28 enodes) 1538408788.991 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408788.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408788.991 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1538408788.991 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408788.992 * * [misc]simplify: iters left: 6 (14 enodes) 1538408788.995 * * [misc]simplify: iters left: 5 (21 enodes) 1538408788.999 * * [misc]simplify: iters left: 4 (27 enodes) 1538408789.003 * * [misc]simplify: iters left: 3 (35 enodes) 1538408789.010 * * [misc]simplify: iters left: 2 (43 enodes) 1538408789.017 * * [misc]simplify: iters left: 1 (56 enodes) 1538408789.029 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408789.029 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408789.029 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.030 * * [misc]simplify: iters left: 6 (15 enodes) 1538408789.033 * * [misc]simplify: iters left: 5 (20 enodes) 1538408789.037 * * [misc]simplify: iters left: 4 (26 enodes) 1538408789.042 * * [misc]simplify: iters left: 3 (28 enodes) 1538408789.047 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408789.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408789.047 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1538408789.047 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1538408789.047 * * [misc]simplify: iters left: 6 (6 enodes) 1538408789.049 * * [misc]simplify: iters left: 5 (10 enodes) 1538408789.051 * * [misc]simplify: iters left: 4 (16 enodes) 1538408789.054 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538408789.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.054 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.055 * * [misc]simplify: iters left: 6 (14 enodes) 1538408789.058 * * [misc]simplify: iters left: 5 (19 enodes) 1538408789.062 * * [misc]simplify: iters left: 4 (25 enodes) 1538408789.066 * * [misc]simplify: iters left: 3 (27 enodes) 1538408789.071 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408789.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408789.071 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1538408789.071 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538408789.071 * * [misc]simplify: iters left: 6 (8 enodes) 1538408789.074 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.076 * * [misc]simplify: iters left: 4 (15 enodes) 1538408789.079 * * [misc]simplify: iters left: 3 (19 enodes) 1538408789.081 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538408789.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408789.081 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408789.082 * * [misc]simplify: iters left: 6 (14 enodes) 1538408789.086 * * [misc]simplify: iters left: 5 (20 enodes) 1538408789.093 * * [misc]simplify: iters left: 4 (24 enodes) 1538408789.101 * * [misc]simplify: iters left: 3 (26 enodes) 1538408789.113 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538408789.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538408789.113 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1538408789.114 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538408789.114 * * [misc]simplify: iters left: 6 (8 enodes) 1538408789.119 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.123 * * [misc]simplify: iters left: 4 (15 enodes) 1538408789.128 * * [misc]simplify: iters left: 3 (19 enodes) 1538408789.132 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538408789.132 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408789.133 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408789.134 * * [misc]simplify: iters left: 6 (14 enodes) 1538408789.140 * * [misc]simplify: iters left: 5 (20 enodes) 1538408789.147 * * [misc]simplify: iters left: 4 (24 enodes) 1538408789.151 * * [misc]simplify: iters left: 3 (26 enodes) 1538408789.156 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538408789.156 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538408789.156 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1538408789.156 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408789.157 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.160 * * [misc]simplify: iters left: 5 (16 enodes) 1538408789.162 * * [misc]simplify: iters left: 4 (20 enodes) 1538408789.166 * * [misc]simplify: iters left: 3 (24 enodes) 1538408789.169 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538408789.169 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408789.169 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408789.170 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.172 * * [misc]simplify: iters left: 5 (15 enodes) 1538408789.175 * * [misc]simplify: iters left: 4 (21 enodes) 1538408789.179 * * [misc]simplify: iters left: 3 (23 enodes) 1538408789.183 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408789.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408789.183 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1538408789.183 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.184 * * [misc]simplify: iters left: 6 (13 enodes) 1538408789.188 * * [misc]simplify: iters left: 5 (22 enodes) 1538408789.191 * * [misc]simplify: iters left: 4 (26 enodes) 1538408789.201 * * [misc]simplify: iters left: 3 (32 enodes) 1538408789.211 * * [misc]simplify: iters left: 2 (34 enodes) 1538408789.216 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408789.216 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408789.216 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.217 * * [misc]simplify: iters left: 6 (14 enodes) 1538408789.221 * * [misc]simplify: iters left: 5 (19 enodes) 1538408789.224 * * [misc]simplify: iters left: 4 (25 enodes) 1538408789.228 * * [misc]simplify: iters left: 3 (27 enodes) 1538408789.234 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.234 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.234 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1538408789.234 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.235 * * [misc]simplify: iters left: 6 (12 enodes) 1538408789.239 * * [misc]simplify: iters left: 5 (19 enodes) 1538408789.242 * * [misc]simplify: iters left: 4 (23 enodes) 1538408789.246 * * [misc]simplify: iters left: 3 (27 enodes) 1538408789.250 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408789.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408789.250 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.251 * * [misc]simplify: iters left: 6 (14 enodes) 1538408789.255 * * [misc]simplify: iters left: 5 (19 enodes) 1538408789.258 * * [misc]simplify: iters left: 4 (25 enodes) 1538408789.262 * * [misc]simplify: iters left: 3 (27 enodes) 1538408789.267 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.267 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.267 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1538408789.268 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1538408789.268 * * [misc]simplify: iters left: 4 (3 enodes) 1538408789.269 * * [misc]simplify: iters left: 3 (5 enodes) 1538408789.269 * [exit]simplify: Simplified to 1 1538408789.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.269 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.270 * * [misc]simplify: iters left: 6 (13 enodes) 1538408789.273 * * [misc]simplify: iters left: 5 (18 enodes) 1538408789.276 * * [misc]simplify: iters left: 4 (24 enodes) 1538408789.280 * * [misc]simplify: iters left: 3 (26 enodes) 1538408789.287 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538408789.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538408789.287 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1538408789.287 * [enter]simplify: Simplifying (/ 1 1) 1538408789.287 * * [misc]simplify: iters left: 2 (2 enodes) 1538408789.288 * * [misc]simplify: iters left: 1 (4 enodes) 1538408789.288 * [exit]simplify: Simplified to 1 1538408789.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.288 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.289 * * [misc]simplify: iters left: 6 (13 enodes) 1538408789.291 * * [misc]simplify: iters left: 5 (18 enodes) 1538408789.298 * * [misc]simplify: iters left: 4 (24 enodes) 1538408789.306 * * [misc]simplify: iters left: 3 (26 enodes) 1538408789.316 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538408789.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538408789.316 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1538408789.317 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1538408789.317 * * [misc]simplify: iters left: 3 (4 enodes) 1538408789.319 * * [misc]simplify: iters left: 2 (6 enodes) 1538408789.321 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1538408789.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.321 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.322 * * [misc]simplify: iters left: 6 (13 enodes) 1538408789.328 * * [misc]simplify: iters left: 5 (20 enodes) 1538408789.335 * * [misc]simplify: iters left: 4 (26 enodes) 1538408789.345 * * [misc]simplify: iters left: 3 (36 enodes) 1538408789.355 * * [misc]simplify: iters left: 2 (38 enodes) 1538408789.360 * * [misc]simplify: iters left: 1 (43 enodes) 1538408789.367 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1538408789.367 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1538408789.367 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1538408789.367 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1538408789.367 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.369 * * [misc]simplify: iters left: 5 (16 enodes) 1538408789.372 * * [misc]simplify: iters left: 4 (19 enodes) 1538408789.375 * * [misc]simplify: iters left: 3 (21 enodes) 1538408789.380 * * [misc]simplify: iters left: 2 (33 enodes) 1538408789.386 * * [misc]simplify: iters left: 1 (41 enodes) 1538408789.393 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1538408789.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1538408789.394 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1538408789.394 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.396 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.399 * * [misc]simplify: iters left: 4 (17 enodes) 1538408789.402 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1538408789.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1538408789.402 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1538408789.402 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1538408789.402 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1538408789.402 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1538408789.402 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.403 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.405 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.408 * * [misc]simplify: iters left: 4 (17 enodes) 1538408789.411 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.411 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1538408789.411 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.412 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.417 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.422 * * [misc]simplify: iters left: 4 (17 enodes) 1538408789.428 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.428 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1538408789.428 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408789.429 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.433 * * [misc]simplify: iters left: 5 (13 enodes) 1538408789.438 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408789.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408789.438 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1538408789.438 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408789.439 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.443 * * [misc]simplify: iters left: 5 (13 enodes) 1538408789.448 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408789.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408789.448 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1538408789.448 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408789.449 * * [misc]simplify: iters left: 6 (9 enodes) 1538408789.452 * * [misc]simplify: iters left: 5 (11 enodes) 1538408789.456 * * [misc]simplify: iters left: 4 (14 enodes) 1538408789.461 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408789.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538408789.461 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1538408789.461 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.462 * * [misc]simplify: iters left: 6 (12 enodes) 1538408789.467 * * [misc]simplify: iters left: 5 (15 enodes) 1538408789.472 * * [misc]simplify: iters left: 4 (18 enodes) 1538408789.477 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.477 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1538408789.477 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.478 * * [misc]simplify: iters left: 6 (12 enodes) 1538408789.482 * * [misc]simplify: iters left: 5 (15 enodes) 1538408789.487 * * [misc]simplify: iters left: 4 (18 enodes) 1538408789.493 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.494 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1538408789.494 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.495 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.499 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.503 * * [misc]simplify: iters left: 4 (17 enodes) 1538408789.507 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.507 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1538408789.508 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408789.509 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.511 * * [misc]simplify: iters left: 5 (13 enodes) 1538408789.513 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408789.513 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408789.513 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1538408789.514 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408789.514 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.516 * * [misc]simplify: iters left: 5 (13 enodes) 1538408789.519 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408789.519 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408789.519 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1538408789.519 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408789.520 * * [misc]simplify: iters left: 6 (9 enodes) 1538408789.521 * * [misc]simplify: iters left: 5 (11 enodes) 1538408789.523 * * [misc]simplify: iters left: 4 (14 enodes) 1538408789.526 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408789.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538408789.526 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1538408789.526 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.527 * * [misc]simplify: iters left: 6 (12 enodes) 1538408789.529 * * [misc]simplify: iters left: 5 (15 enodes) 1538408789.532 * * [misc]simplify: iters left: 4 (18 enodes) 1538408789.535 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.535 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.535 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1538408789.535 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.536 * * [misc]simplify: iters left: 6 (12 enodes) 1538408789.538 * * [misc]simplify: iters left: 5 (15 enodes) 1538408789.540 * * [misc]simplify: iters left: 4 (18 enodes) 1538408789.544 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.544 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1538408789.544 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.545 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.547 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.549 * * [misc]simplify: iters left: 4 (17 enodes) 1538408789.553 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.553 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1538408789.553 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408789.553 * * [misc]simplify: iters left: 6 (9 enodes) 1538408789.555 * * [misc]simplify: iters left: 5 (12 enodes) 1538408789.557 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408789.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538408789.557 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1538408789.558 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408789.558 * * [misc]simplify: iters left: 6 (9 enodes) 1538408789.560 * * [misc]simplify: iters left: 5 (12 enodes) 1538408789.562 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408789.562 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538408789.562 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1538408789.562 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408789.563 * * [misc]simplify: iters left: 6 (8 enodes) 1538408789.564 * * [misc]simplify: iters left: 5 (10 enodes) 1538408789.566 * * [misc]simplify: iters left: 4 (13 enodes) 1538408789.568 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408789.569 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1538408789.569 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1538408789.569 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.569 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.572 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.574 * * [misc]simplify: iters left: 4 (17 enodes) 1538408789.578 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.578 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.578 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1538408789.578 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.579 * * [misc]simplify: iters left: 6 (11 enodes) 1538408789.583 * * [misc]simplify: iters left: 5 (14 enodes) 1538408789.585 * * [misc]simplify: iters left: 4 (17 enodes) 1538408789.588 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.588 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408789.588 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1538408789.588 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.589 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.591 * * [misc]simplify: iters left: 5 (13 enodes) 1538408789.594 * * [misc]simplify: iters left: 4 (16 enodes) 1538408789.600 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.600 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1538408789.600 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.601 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.605 * * [misc]simplify: iters left: 5 (13 enodes) 1538408789.609 * * [misc]simplify: iters left: 4 (16 enodes) 1538408789.615 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.615 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408789.615 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1538408789.615 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1538408789.616 * * [misc]simplify: iters left: 6 (10 enodes) 1538408789.620 * * [misc]simplify: iters left: 5 (15 enodes) 1538408789.623 * * [misc]simplify: iters left: 4 (18 enodes) 1538408789.625 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408789.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408789.626 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1538408789.626 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408789.626 * * [misc]simplify: iters left: 3 (6 enodes) 1538408789.627 * * [misc]simplify: iters left: 2 (7 enodes) 1538408789.628 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408789.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1538408789.628 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1538408789.629 * [enter]simplify: Simplifying (pow PI 1/2) 1538408789.629 * * [misc]simplify: iters left: 1 (3 enodes) 1538408789.630 * [exit]simplify: Simplified to (sqrt PI) 1538408789.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1538408789.630 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1538408789.630 * [enter]simplify: Simplifying (pow PI 1/2) 1538408789.630 * * [misc]simplify: iters left: 1 (3 enodes) 1538408789.631 * [exit]simplify: Simplified to (sqrt PI) 1538408789.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1538408789.631 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1538408789.631 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408789.632 * * [misc]simplify: iters left: 6 (9 enodes) 1538408789.635 * * [misc]simplify: iters left: 5 (11 enodes) 1538408789.639 * * [misc]simplify: iters left: 4 (14 enodes) 1538408789.644 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408789.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538408789.645 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1538408789.645 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408789.646 * * [misc]simplify: iters left: 6 (8 enodes) 1538408789.649 * * [misc]simplify: iters left: 5 (10 enodes) 1538408789.652 * * [misc]simplify: iters left: 4 (13 enodes) 1538408789.657 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408789.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1538408789.657 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1538408789.657 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1538408789.657 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538408789.658 * * [misc]simplify: iters left: 5 (8 enodes) 1538408789.661 * * [misc]simplify: iters left: 4 (11 enodes) 1538408789.665 * * [misc]simplify: iters left: 3 (14 enodes) 1538408789.670 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538408789.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408789.670 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1538408789.670 * [enter]simplify: Simplifying (pow PI 1/2) 1538408789.670 * * [misc]simplify: iters left: 1 (3 enodes) 1538408789.672 * [exit]simplify: Simplified to (sqrt PI) 1538408789.672 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1538408789.672 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1538408789.672 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1538408789.672 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538408789.674 * * [misc]simplify: iters left: 6 (12 enodes) 1538408789.680 * * [misc]simplify: iters left: 5 (21 enodes) 1538408789.691 * * [misc]simplify: iters left: 4 (44 enodes) 1538408789.710 * * [misc]simplify: iters left: 3 (125 enodes) 1538408789.789 * * [misc]simplify: iters left: 2 (343 enodes) 1538408790.008 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538408790.008 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538408790.008 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1538408790.009 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538408790.010 * * [misc]simplify: iters left: 6 (12 enodes) 1538408790.016 * * [misc]simplify: iters left: 5 (21 enodes) 1538408790.027 * * [misc]simplify: iters left: 4 (44 enodes) 1538408790.046 * * [misc]simplify: iters left: 3 (125 enodes) 1538408790.112 * * [misc]simplify: iters left: 2 (343 enodes) 1538408790.325 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538408790.326 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538408790.326 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1538408790.326 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1538408790.327 * * [misc]simplify: iters left: 6 (12 enodes) 1538408790.329 * * [misc]simplify: iters left: 5 (19 enodes) 1538408790.336 * * [misc]simplify: iters left: 4 (32 enodes) 1538408790.352 * * [misc]simplify: iters left: 3 (67 enodes) 1538408790.401 * * [misc]simplify: iters left: 2 (194 enodes) 1538408790.582 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538408790.582 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538408790.582 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1538408790.582 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1538408790.582 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1538408790.582 * [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))))) 1538408790.584 * * [misc]simplify: iters left: 6 (14 enodes) 1538408790.591 * * [misc]simplify: iters left: 5 (26 enodes) 1538408790.605 * * [misc]simplify: iters left: 4 (58 enodes) 1538408790.637 * * [misc]simplify: iters left: 3 (117 enodes) 1538408790.681 * * [misc]simplify: iters left: 2 (193 enodes) 1538408790.748 * * [misc]simplify: iters left: 1 (263 enodes) 1538408790.889 * [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))))) 1538408790.889 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408790.889 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1538408790.889 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1538408790.889 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1538408790.889 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1538408790.889 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1538408790.889 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538408790.890 * * [misc]simplify: iters left: 6 (10 enodes) 1538408790.892 * * [misc]simplify: iters left: 5 (14 enodes) 1538408790.894 * * [misc]simplify: iters left: 4 (16 enodes) 1538408790.897 * * [misc]simplify: iters left: 3 (17 enodes) 1538408790.900 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538408790.900 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408790.900 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408790.901 * * [misc]simplify: iters left: 6 (10 enodes) 1538408790.903 * * [misc]simplify: iters left: 5 (13 enodes) 1538408790.905 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408790.905 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408790.905 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1538408790.905 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538408790.906 * * [misc]simplify: iters left: 6 (10 enodes) 1538408790.908 * * [misc]simplify: iters left: 5 (14 enodes) 1538408790.910 * * [misc]simplify: iters left: 4 (16 enodes) 1538408790.913 * * [misc]simplify: iters left: 3 (17 enodes) 1538408790.918 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538408790.918 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408790.918 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408790.919 * * [misc]simplify: iters left: 6 (10 enodes) 1538408790.920 * * [misc]simplify: iters left: 5 (13 enodes) 1538408790.923 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408790.923 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408790.923 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1538408790.923 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408790.924 * * [misc]simplify: iters left: 6 (11 enodes) 1538408790.926 * * [misc]simplify: iters left: 5 (15 enodes) 1538408790.929 * * [misc]simplify: iters left: 4 (20 enodes) 1538408790.932 * * [misc]simplify: iters left: 3 (21 enodes) 1538408790.936 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408790.936 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408790.936 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408790.937 * * [misc]simplify: iters left: 6 (9 enodes) 1538408790.938 * * [misc]simplify: iters left: 5 (11 enodes) 1538408790.940 * * [misc]simplify: iters left: 4 (14 enodes) 1538408790.943 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408790.943 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408790.943 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1538408790.943 * [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)))))) 1538408790.944 * * [misc]simplify: iters left: 6 (14 enodes) 1538408790.947 * * [misc]simplify: iters left: 5 (23 enodes) 1538408790.952 * * [misc]simplify: iters left: 4 (35 enodes) 1538408790.958 * * [misc]simplify: iters left: 3 (38 enodes) 1538408790.969 * * [misc]simplify: iters left: 2 (41 enodes) 1538408790.987 * [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)))))) 1538408790.987 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408790.987 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408790.988 * * [misc]simplify: iters left: 6 (12 enodes) 1538408790.993 * * [misc]simplify: iters left: 5 (15 enodes) 1538408790.998 * * [misc]simplify: iters left: 4 (18 enodes) 1538408791.004 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.004 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.004 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1538408791.004 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.005 * * [misc]simplify: iters left: 6 (13 enodes) 1538408791.012 * * [misc]simplify: iters left: 5 (18 enodes) 1538408791.017 * * [misc]simplify: iters left: 4 (23 enodes) 1538408791.023 * * [misc]simplify: iters left: 3 (24 enodes) 1538408791.030 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.030 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.031 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.032 * * [misc]simplify: iters left: 6 (12 enodes) 1538408791.036 * * [misc]simplify: iters left: 5 (15 enodes) 1538408791.040 * * [misc]simplify: iters left: 4 (18 enodes) 1538408791.045 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.045 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.045 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1538408791.046 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1538408791.046 * * [misc]simplify: iters left: 6 (6 enodes) 1538408791.048 * * [misc]simplify: iters left: 5 (10 enodes) 1538408791.052 * * [misc]simplify: iters left: 4 (16 enodes) 1538408791.056 * * [misc]simplify: iters left: 3 (18 enodes) 1538408791.060 * * [misc]simplify: iters left: 2 (23 enodes) 1538408791.066 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538408791.066 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.066 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.067 * * [misc]simplify: iters left: 6 (11 enodes) 1538408791.070 * * [misc]simplify: iters left: 5 (14 enodes) 1538408791.074 * * [misc]simplify: iters left: 4 (17 enodes) 1538408791.079 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.079 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.079 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1538408791.080 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538408791.080 * * [misc]simplify: iters left: 5 (9 enodes) 1538408791.083 * * [misc]simplify: iters left: 4 (11 enodes) 1538408791.087 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538408791.087 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408791.087 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408791.088 * * [misc]simplify: iters left: 6 (10 enodes) 1538408791.091 * * [misc]simplify: iters left: 5 (13 enodes) 1538408791.095 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408791.095 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408791.095 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1538408791.095 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538408791.096 * * [misc]simplify: iters left: 5 (9 enodes) 1538408791.099 * * [misc]simplify: iters left: 4 (11 enodes) 1538408791.102 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538408791.102 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408791.102 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408791.103 * * [misc]simplify: iters left: 6 (10 enodes) 1538408791.106 * * [misc]simplify: iters left: 5 (13 enodes) 1538408791.110 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408791.110 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408791.110 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1538408791.110 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538408791.111 * * [misc]simplify: iters left: 6 (10 enodes) 1538408791.114 * * [misc]simplify: iters left: 5 (12 enodes) 1538408791.118 * * [misc]simplify: iters left: 4 (15 enodes) 1538408791.122 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538408791.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408791.123 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408791.123 * * [misc]simplify: iters left: 6 (9 enodes) 1538408791.128 * * [misc]simplify: iters left: 5 (11 enodes) 1538408791.132 * * [misc]simplify: iters left: 4 (14 enodes) 1538408791.136 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408791.136 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408791.137 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1538408791.137 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408791.138 * * [misc]simplify: iters left: 6 (13 enodes) 1538408791.142 * * [misc]simplify: iters left: 5 (18 enodes) 1538408791.145 * * [misc]simplify: iters left: 4 (21 enodes) 1538408791.149 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408791.149 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.149 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.150 * * [misc]simplify: iters left: 6 (12 enodes) 1538408791.152 * * [misc]simplify: iters left: 5 (15 enodes) 1538408791.155 * * [misc]simplify: iters left: 4 (18 enodes) 1538408791.158 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.158 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.158 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1538408791.159 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.159 * * [misc]simplify: iters left: 6 (12 enodes) 1538408791.162 * * [misc]simplify: iters left: 5 (15 enodes) 1538408791.164 * * [misc]simplify: iters left: 4 (18 enodes) 1538408791.167 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.167 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.168 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.168 * * [misc]simplify: iters left: 6 (12 enodes) 1538408791.170 * * [misc]simplify: iters left: 5 (15 enodes) 1538408791.174 * * [misc]simplify: iters left: 4 (18 enodes) 1538408791.180 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.180 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.180 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1538408791.181 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1538408791.181 * * [misc]simplify: iters left: 4 (5 enodes) 1538408791.183 * * [misc]simplify: iters left: 3 (7 enodes) 1538408791.188 * * [misc]simplify: iters left: 2 (9 enodes) 1538408791.190 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538408791.190 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.191 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.193 * * [misc]simplify: iters left: 6 (11 enodes) 1538408791.197 * * [misc]simplify: iters left: 5 (14 enodes) 1538408791.201 * * [misc]simplify: iters left: 4 (17 enodes) 1538408791.207 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.207 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.207 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1538408791.207 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538408791.208 * * [misc]simplify: iters left: 5 (7 enodes) 1538408791.211 * * [misc]simplify: iters left: 4 (11 enodes) 1538408791.214 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538408791.214 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408791.214 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408791.215 * * [misc]simplify: iters left: 6 (9 enodes) 1538408791.218 * * [misc]simplify: iters left: 5 (12 enodes) 1538408791.223 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408791.223 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408791.223 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1538408791.223 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538408791.224 * * [misc]simplify: iters left: 5 (7 enodes) 1538408791.226 * * [misc]simplify: iters left: 4 (11 enodes) 1538408791.230 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538408791.230 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408791.230 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408791.231 * * [misc]simplify: iters left: 6 (9 enodes) 1538408791.237 * * [misc]simplify: iters left: 5 (12 enodes) 1538408791.241 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408791.241 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408791.241 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1538408791.242 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1538408791.242 * * [misc]simplify: iters left: 6 (9 enodes) 1538408791.246 * * [misc]simplify: iters left: 5 (13 enodes) 1538408791.250 * * [misc]simplify: iters left: 4 (16 enodes) 1538408791.255 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1538408791.255 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408791.255 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408791.256 * * [misc]simplify: iters left: 6 (8 enodes) 1538408791.259 * * [misc]simplify: iters left: 5 (10 enodes) 1538408791.262 * * [misc]simplify: iters left: 4 (13 enodes) 1538408791.267 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408791.267 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408791.267 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1538408791.267 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408791.268 * * [misc]simplify: iters left: 6 (12 enodes) 1538408791.273 * * [misc]simplify: iters left: 5 (19 enodes) 1538408791.279 * * [misc]simplify: iters left: 4 (22 enodes) 1538408791.287 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408791.287 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.288 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.289 * * [misc]simplify: iters left: 6 (11 enodes) 1538408791.293 * * [misc]simplify: iters left: 5 (14 enodes) 1538408791.298 * * [misc]simplify: iters left: 4 (17 enodes) 1538408791.304 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.304 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.304 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1538408791.304 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.305 * * [misc]simplify: iters left: 6 (11 enodes) 1538408791.310 * * [misc]simplify: iters left: 5 (16 enodes) 1538408791.315 * * [misc]simplify: iters left: 4 (19 enodes) 1538408791.321 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408791.321 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.322 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.323 * * [misc]simplify: iters left: 6 (11 enodes) 1538408791.325 * * [misc]simplify: iters left: 5 (14 enodes) 1538408791.327 * * [misc]simplify: iters left: 4 (17 enodes) 1538408791.330 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408791.331 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408791.331 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1538408791.331 * [enter]simplify: Simplifying (/ 1 1) 1538408791.331 * * [misc]simplify: iters left: 2 (2 enodes) 1538408791.331 * * [misc]simplify: iters left: 1 (4 enodes) 1538408791.332 * [exit]simplify: Simplified to 1 1538408791.332 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.332 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.333 * * [misc]simplify: iters left: 6 (10 enodes) 1538408791.335 * * [misc]simplify: iters left: 5 (13 enodes) 1538408791.337 * * [misc]simplify: iters left: 4 (16 enodes) 1538408791.340 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.340 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.340 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1538408791.340 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1538408791.340 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1538408791.340 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1538408791.341 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408791.341 * * [misc]simplify: iters left: 5 (7 enodes) 1538408791.342 * * [misc]simplify: iters left: 4 (10 enodes) 1538408791.344 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408791.344 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538408791.344 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1538408791.345 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408791.345 * * [misc]simplify: iters left: 5 (7 enodes) 1538408791.347 * * [misc]simplify: iters left: 4 (10 enodes) 1538408791.348 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408791.348 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538408791.348 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1538408791.349 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1538408791.351 * * [misc]simplify: iters left: 5 (6 enodes) 1538408791.353 * * [misc]simplify: iters left: 4 (8 enodes) 1538408791.356 * * [misc]simplify: iters left: 3 (11 enodes) 1538408791.359 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1538408791.359 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1538408791.359 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1538408791.359 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.360 * * [misc]simplify: iters left: 6 (9 enodes) 1538408791.363 * * [misc]simplify: iters left: 5 (12 enodes) 1538408791.368 * * [misc]simplify: iters left: 4 (15 enodes) 1538408791.372 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.372 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.372 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1538408791.373 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.373 * * [misc]simplify: iters left: 6 (9 enodes) 1538408791.377 * * [misc]simplify: iters left: 5 (12 enodes) 1538408791.381 * * [misc]simplify: iters left: 4 (15 enodes) 1538408791.386 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408791.386 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408791.386 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1538408791.386 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538408791.387 * * [misc]simplify: iters left: 5 (8 enodes) 1538408791.390 * * [misc]simplify: iters left: 4 (11 enodes) 1538408791.394 * * [misc]simplify: iters left: 3 (14 enodes) 1538408791.399 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538408791.399 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408791.399 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1538408791.399 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538408791.400 * * [misc]simplify: iters left: 4 (4 enodes) 1538408791.401 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538408791.402 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538408791.402 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1538408791.402 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538408791.402 * * [misc]simplify: iters left: 2 (3 enodes) 1538408791.403 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538408791.403 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538408791.403 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1538408791.403 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1538408791.404 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408791.404 * * [misc]simplify: iters left: 3 (6 enodes) 1538408791.406 * * [misc]simplify: iters left: 2 (7 enodes) 1538408791.409 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408791.409 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1538408791.409 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1538408791.409 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1538408791.410 * * [misc]simplify: iters left: 6 (9 enodes) 1538408791.415 * * [misc]simplify: iters left: 5 (16 enodes) 1538408791.423 * * [misc]simplify: iters left: 4 (32 enodes) 1538408791.440 * * [misc]simplify: iters left: 3 (68 enodes) 1538408791.490 * * [misc]simplify: iters left: 2 (171 enodes) 1538408791.589 * * [misc]simplify: iters left: 1 (342 enodes) 1538408791.792 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1538408791.792 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538408791.793 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1538408791.793 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1538408791.793 * [enter]simplify: Simplifying (* n 2) 1538408791.793 * * [misc]simplify: iters left: 2 (3 enodes) 1538408791.795 * * [misc]simplify: iters left: 1 (4 enodes) 1538408791.796 * [exit]simplify: Simplified to (* n 2) 1538408791.796 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1538408791.796 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1538408791.796 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408791.797 * * [misc]simplify: iters left: 3 (6 enodes) 1538408791.799 * * [misc]simplify: iters left: 2 (7 enodes) 1538408791.802 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408791.802 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1538408791.802 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1538408791.802 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538408791.803 * * [misc]simplify: iters left: 5 (6 enodes) 1538408791.806 * * [misc]simplify: iters left: 4 (8 enodes) 1538408791.809 * * [misc]simplify: iters left: 3 (11 enodes) 1538408791.812 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538408791.812 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1538408791.812 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1538408791.813 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538408791.813 * * [misc]simplify: iters left: 5 (6 enodes) 1538408791.815 * * [misc]simplify: iters left: 4 (8 enodes) 1538408791.818 * * [misc]simplify: iters left: 3 (11 enodes) 1538408791.822 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538408791.822 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1538408791.822 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1538408791.822 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538408791.823 * * [misc]simplify: iters left: 4 (5 enodes) 1538408791.825 * * [misc]simplify: iters left: 3 (7 enodes) 1538408791.828 * * [misc]simplify: iters left: 2 (10 enodes) 1538408791.831 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538408791.831 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1538408791.831 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1538408791.831 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408791.832 * * [misc]simplify: iters left: 5 (7 enodes) 1538408791.833 * * [misc]simplify: iters left: 4 (10 enodes) 1538408791.835 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408791.835 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538408791.835 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1538408791.835 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408791.836 * * [misc]simplify: iters left: 5 (7 enodes) 1538408791.837 * * [misc]simplify: iters left: 4 (10 enodes) 1538408791.839 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408791.839 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538408791.839 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1538408791.839 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538408791.840 * * [misc]simplify: iters left: 5 (7 enodes) 1538408791.843 * * [misc]simplify: iters left: 4 (9 enodes) 1538408791.845 * * [misc]simplify: iters left: 3 (12 enodes) 1538408791.847 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538408791.847 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1538408791.848 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1538408791.848 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1538408791.848 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1538408791.848 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1538408791.848 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1538408791.848 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1538408791.848 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # 1538408791.848 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1538408791.848 * [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)))) 1538408791.849 * * [misc]simplify: iters left: 6 (18 enodes) 1538408791.855 * * [misc]simplify: iters left: 5 (39 enodes) 1538408791.872 * * [misc]simplify: iters left: 4 (104 enodes) 1538408791.911 * * [misc]simplify: iters left: 3 (275 enodes) 1538408792.089 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1538408792.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408792.089 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1538408792.089 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538408792.089 * * [misc]simplify: iters left: 5 (6 enodes) 1538408792.091 * * [misc]simplify: iters left: 4 (9 enodes) 1538408792.094 * * [misc]simplify: iters left: 3 (17 enodes) 1538408792.098 * * [misc]simplify: iters left: 2 (20 enodes) 1538408792.104 * * [misc]simplify: iters left: 1 (24 enodes) 1538408792.116 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1538408792.116 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408792.116 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1538408792.116 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538408792.117 * * [misc]simplify: iters left: 5 (6 enodes) 1538408792.119 * * [misc]simplify: iters left: 4 (9 enodes) 1538408792.124 * * [misc]simplify: iters left: 3 (17 enodes) 1538408792.128 * * [misc]simplify: iters left: 2 (20 enodes) 1538408792.131 * * [misc]simplify: iters left: 1 (24 enodes) 1538408792.138 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1538408792.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408792.138 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1538408792.138 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538408792.138 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408792.138 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1538408792.138 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538408792.138 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408792.138 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1538408792.139 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538408792.139 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408792.139 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1538408792.139 * [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)))))))))))) 1538408792.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538408792.139 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1538408792.139 * [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))))))))))) 1538408792.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538408792.139 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1538408792.139 * [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))))))))) 1538408792.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538408792.139 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1538408792.140 * [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))))) 1538408792.142 * * [misc]simplify: iters left: 6 (35 enodes) 1538408792.156 * * [misc]simplify: iters left: 5 (99 enodes) 1538408792.226 * * [misc]simplify: iters left: 4 (298 enodes) 1538408792.569 * [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))))))) 1538408792.569 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1538408792.569 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1538408792.569 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538408792.570 * * [misc]simplify: iters left: 6 (13 enodes) 1538408792.575 * * [misc]simplify: iters left: 5 (27 enodes) 1538408792.582 * * [misc]simplify: iters left: 4 (53 enodes) 1538408792.597 * * [misc]simplify: iters left: 3 (116 enodes) 1538408792.684 * * [misc]simplify: iters left: 2 (362 enodes) 1538408793.033 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1538408793.033 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1538408793.033 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1538408793.033 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538408793.034 * * [misc]simplify: iters left: 6 (13 enodes) 1538408793.038 * * [misc]simplify: iters left: 5 (24 enodes) 1538408793.046 * * [misc]simplify: iters left: 4 (54 enodes) 1538408793.065 * * [misc]simplify: iters left: 3 (143 enodes) 1538408793.254 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1538408793.254 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1538408793.254 * * * [misc]progress: adding candidates to table 1538408799.951 * * [misc]progress: iteration 3 / 4 1538408799.951 * * * [misc]progress: picking best candidate 1538408800.003 * * * * [misc]pick: Picked # 1538408800.003 * * * [misc]progress: localizing error 1538408800.025 * * * [misc]progress: generating rewritten candidates 1538408800.025 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1538408800.143 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1538408800.199 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1538408800.223 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1538408800.316 * * * [misc]progress: generating series expansions 1538408800.316 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1538408800.318 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1538408800.318 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1538408800.318 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.318 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.318 * [misc]taylor: Taking taylor expansion of k in n 1538408800.318 * [misc]backup-simplify: Simplify k into k 1538408800.318 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.318 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.318 * [misc]backup-simplify: Simplify 2 into 2 1538408800.318 * [misc]taylor: Taking taylor expansion of n in n 1538408800.318 * [misc]backup-simplify: Simplify 0 into 0 1538408800.318 * [misc]backup-simplify: Simplify 1 into 1 1538408800.319 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.319 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.319 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.319 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408800.319 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408800.319 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408800.320 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.320 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408800.320 * [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)))) 1538408800.320 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538408800.320 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538408800.320 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538408800.320 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408800.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.320 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408800.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.321 * [misc]taylor: Taking taylor expansion of k in n 1538408800.321 * [misc]backup-simplify: Simplify k into k 1538408800.321 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.321 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.321 * [misc]backup-simplify: Simplify PI into PI 1538408800.321 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.321 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408800.321 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408800.321 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408800.322 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538408800.322 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538408800.322 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538408800.322 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.322 * [misc]taylor: Taking taylor expansion of k in n 1538408800.322 * [misc]backup-simplify: Simplify k into k 1538408800.322 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.322 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538408800.323 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.323 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538408800.323 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.323 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.323 * [misc]taylor: Taking taylor expansion of k in k 1538408800.323 * [misc]backup-simplify: Simplify 0 into 0 1538408800.323 * [misc]backup-simplify: Simplify 1 into 1 1538408800.323 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408800.323 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.323 * [misc]backup-simplify: Simplify 2 into 2 1538408800.323 * [misc]taylor: Taking taylor expansion of n in k 1538408800.323 * [misc]backup-simplify: Simplify n into n 1538408800.323 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408800.323 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408800.324 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.324 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.324 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.324 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408800.324 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408800.324 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408800.324 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408800.324 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408800.324 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.324 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.324 * [misc]taylor: Taking taylor expansion of k in k 1538408800.325 * [misc]backup-simplify: Simplify 0 into 0 1538408800.325 * [misc]backup-simplify: Simplify 1 into 1 1538408800.325 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.325 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.325 * [misc]backup-simplify: Simplify PI into PI 1538408800.325 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.325 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.325 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.325 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.326 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408800.327 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408800.327 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408800.327 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.327 * [misc]taylor: Taking taylor expansion of k in k 1538408800.327 * [misc]backup-simplify: Simplify 0 into 0 1538408800.327 * [misc]backup-simplify: Simplify 1 into 1 1538408800.327 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.327 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.328 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.328 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.328 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.328 * [misc]taylor: Taking taylor expansion of k in k 1538408800.328 * [misc]backup-simplify: Simplify 0 into 0 1538408800.328 * [misc]backup-simplify: Simplify 1 into 1 1538408800.328 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408800.328 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.328 * [misc]backup-simplify: Simplify 2 into 2 1538408800.328 * [misc]taylor: Taking taylor expansion of n in k 1538408800.329 * [misc]backup-simplify: Simplify n into n 1538408800.329 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408800.329 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408800.329 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.329 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.329 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.329 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408800.329 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408800.329 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408800.329 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408800.329 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408800.330 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.330 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.330 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.330 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.330 * [misc]taylor: Taking taylor expansion of k in k 1538408800.330 * [misc]backup-simplify: Simplify 0 into 0 1538408800.330 * [misc]backup-simplify: Simplify 1 into 1 1538408800.330 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.330 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.330 * [misc]backup-simplify: Simplify PI into PI 1538408800.330 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.330 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.331 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.331 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.331 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408800.332 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408800.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408800.332 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.332 * [misc]taylor: Taking taylor expansion of k in k 1538408800.332 * [misc]backup-simplify: Simplify 0 into 0 1538408800.332 * [misc]backup-simplify: Simplify 1 into 1 1538408800.332 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.333 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.333 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.334 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1538408800.334 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1538408800.334 * [misc]taylor: Taking taylor expansion of 0 in n 1538408800.334 * [misc]backup-simplify: Simplify 0 into 0 1538408800.334 * [misc]backup-simplify: Simplify 0 into 0 1538408800.337 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408800.337 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408800.337 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.338 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.339 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408800.343 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538408800.343 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538408800.344 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538408800.344 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408800.344 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.345 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.345 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538408800.345 * [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)))) 1538408800.347 * [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)))))) 1538408800.348 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1538408800.348 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1538408800.349 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538408800.349 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.349 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.349 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538408800.349 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.349 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.349 * [misc]backup-simplify: Simplify 2 into 2 1538408800.349 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.349 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.349 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408800.349 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408800.349 * [misc]taylor: Taking taylor expansion of n in n 1538408800.349 * [misc]backup-simplify: Simplify 0 into 0 1538408800.349 * [misc]backup-simplify: Simplify 1 into 1 1538408800.349 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.349 * [misc]backup-simplify: Simplify PI into PI 1538408800.349 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408800.350 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408800.350 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.350 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.350 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408800.350 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.350 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.351 * [misc]backup-simplify: Simplify 0 into 0 1538408800.351 * [misc]backup-simplify: Simplify 0 into 0 1538408800.351 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408800.351 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408800.355 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408800.355 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.355 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.356 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538408800.359 * [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))) 1538408800.360 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538408800.361 * [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 1538408800.361 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.361 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.361 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.362 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538408800.363 * [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))) 1538408800.367 * [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))))))) 1538408800.373 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1538408800.373 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.373 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.373 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.373 * [misc]backup-simplify: Simplify 2 into 2 1538408800.373 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.373 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.373 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.373 * [misc]backup-simplify: Simplify PI into PI 1538408800.373 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.373 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408800.373 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.374 * [misc]backup-simplify: Simplify PI into PI 1538408800.374 * [misc]taylor: Taking taylor expansion of n in n 1538408800.374 * [misc]backup-simplify: Simplify 0 into 0 1538408800.374 * [misc]backup-simplify: Simplify 1 into 1 1538408800.374 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408800.374 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408800.374 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.375 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.375 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538408800.375 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538408800.375 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538408800.375 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.375 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.375 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538408800.375 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.375 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.375 * [misc]backup-simplify: Simplify 2 into 2 1538408800.375 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.375 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.375 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408800.375 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408800.375 * [misc]taylor: Taking taylor expansion of n in n 1538408800.375 * [misc]backup-simplify: Simplify 0 into 0 1538408800.375 * [misc]backup-simplify: Simplify 1 into 1 1538408800.375 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.375 * [misc]backup-simplify: Simplify PI into PI 1538408800.376 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408800.376 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408800.376 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.377 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.377 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538408800.377 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538408800.377 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.377 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.377 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538408800.377 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538408800.377 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.377 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.377 * [misc]backup-simplify: Simplify 2 into 2 1538408800.377 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.378 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.378 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.378 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.378 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.378 * [misc]backup-simplify: Simplify 2 into 2 1538408800.378 * [misc]taylor: Taking taylor expansion of n in n 1538408800.378 * [misc]backup-simplify: Simplify 0 into 0 1538408800.378 * [misc]backup-simplify: Simplify 1 into 1 1538408800.378 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.378 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.378 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.378 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408800.378 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408800.378 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.378 * [misc]backup-simplify: Simplify PI into PI 1538408800.378 * [misc]taylor: Taking taylor expansion of n in n 1538408800.378 * [misc]backup-simplify: Simplify 0 into 0 1538408800.378 * [misc]backup-simplify: Simplify 1 into 1 1538408800.379 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408800.379 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408800.380 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.380 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.381 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538408800.382 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538408800.382 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.382 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408800.382 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.383 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.383 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538408800.383 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538408800.383 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.384 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.384 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.384 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.384 * [misc]backup-simplify: Simplify 0 into 0 1538408800.385 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408800.387 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408800.389 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408800.390 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408800.390 * [misc]backup-simplify: Simplify 0 into 0 1538408800.390 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.391 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408800.400 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408800.401 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408800.401 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408800.411 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1538408800.412 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538408800.416 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1538408800.416 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408800.417 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.417 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538408800.420 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1538408800.439 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1538408800.459 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1538408800.459 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1538408800.459 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1538408800.459 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538408800.459 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.459 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.459 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538408800.459 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538408800.459 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.459 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.459 * [misc]backup-simplify: Simplify 2 into 2 1538408800.460 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.460 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.460 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.460 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.460 * [misc]backup-simplify: Simplify PI into PI 1538408800.460 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.460 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408800.460 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408800.460 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.460 * [misc]backup-simplify: Simplify PI into PI 1538408800.460 * [misc]taylor: Taking taylor expansion of n in n 1538408800.460 * [misc]backup-simplify: Simplify 0 into 0 1538408800.460 * [misc]backup-simplify: Simplify 1 into 1 1538408800.460 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408800.461 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408800.461 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.461 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.461 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1538408800.461 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1538408800.461 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1538408800.461 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.461 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.461 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1538408800.462 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1538408800.462 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.462 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.462 * [misc]backup-simplify: Simplify 2 into 2 1538408800.462 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.462 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.462 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538408800.462 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.462 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.462 * [misc]backup-simplify: Simplify PI into PI 1538408800.462 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.462 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408800.462 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408800.462 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.462 * [misc]backup-simplify: Simplify PI into PI 1538408800.462 * [misc]taylor: Taking taylor expansion of n in n 1538408800.462 * [misc]backup-simplify: Simplify 0 into 0 1538408800.462 * [misc]backup-simplify: Simplify 1 into 1 1538408800.462 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408800.463 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408800.463 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.464 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.464 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.464 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.464 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.464 * [misc]backup-simplify: Simplify 2 into 2 1538408800.464 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.464 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.464 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.464 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.464 * [misc]backup-simplify: Simplify 2 into 2 1538408800.464 * [misc]taylor: Taking taylor expansion of n in n 1538408800.464 * [misc]backup-simplify: Simplify 0 into 0 1538408800.464 * [misc]backup-simplify: Simplify 1 into 1 1538408800.464 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.464 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.465 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.465 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.465 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408800.465 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408800.465 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.465 * [misc]backup-simplify: Simplify PI into PI 1538408800.465 * [misc]taylor: Taking taylor expansion of n in n 1538408800.465 * [misc]backup-simplify: Simplify 0 into 0 1538408800.465 * [misc]backup-simplify: Simplify 1 into 1 1538408800.465 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408800.466 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408800.466 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.466 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.466 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538408800.466 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538408800.466 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1538408800.466 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.466 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.466 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1538408800.466 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1538408800.466 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.466 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.466 * [misc]backup-simplify: Simplify 2 into 2 1538408800.466 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.466 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.466 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1538408800.466 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.467 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.467 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.467 * [misc]backup-simplify: Simplify 2 into 2 1538408800.467 * [misc]taylor: Taking taylor expansion of n in n 1538408800.467 * [misc]backup-simplify: Simplify 0 into 0 1538408800.467 * [misc]backup-simplify: Simplify 1 into 1 1538408800.467 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.467 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.467 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.467 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.467 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.467 * [misc]backup-simplify: Simplify PI into PI 1538408800.467 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.467 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408800.467 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408800.467 * [misc]taylor: Taking taylor expansion of n in n 1538408800.467 * [misc]backup-simplify: Simplify 0 into 0 1538408800.467 * [misc]backup-simplify: Simplify 1 into 1 1538408800.467 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.467 * [misc]backup-simplify: Simplify PI into PI 1538408800.468 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408800.468 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408800.468 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.468 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.468 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538408800.468 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538408800.468 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538408800.468 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.468 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.468 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538408800.469 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.469 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.469 * [misc]backup-simplify: Simplify 2 into 2 1538408800.469 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.469 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.469 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538408800.469 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538408800.469 * [misc]taylor: Taking taylor expansion of n in n 1538408800.469 * [misc]backup-simplify: Simplify 0 into 0 1538408800.469 * [misc]backup-simplify: Simplify 1 into 1 1538408800.469 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.469 * [misc]backup-simplify: Simplify PI into PI 1538408800.469 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538408800.470 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538408800.470 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.470 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.470 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538408800.470 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538408800.470 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.470 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.470 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538408800.470 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538408800.470 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.470 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.470 * [misc]backup-simplify: Simplify 2 into 2 1538408800.470 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.470 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.470 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.470 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.470 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.471 * [misc]backup-simplify: Simplify 2 into 2 1538408800.471 * [misc]taylor: Taking taylor expansion of n in n 1538408800.471 * [misc]backup-simplify: Simplify 0 into 0 1538408800.471 * [misc]backup-simplify: Simplify 1 into 1 1538408800.471 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.471 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.471 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.471 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538408800.471 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538408800.471 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.471 * [misc]backup-simplify: Simplify PI into PI 1538408800.471 * [misc]taylor: Taking taylor expansion of n in n 1538408800.471 * [misc]backup-simplify: Simplify 0 into 0 1538408800.471 * [misc]backup-simplify: Simplify 1 into 1 1538408800.471 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538408800.472 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538408800.472 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.472 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538408800.473 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538408800.474 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538408800.474 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.474 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538408800.475 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1538408800.476 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1538408800.476 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.477 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538408800.478 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1538408800.478 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1538408800.478 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.478 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.479 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1538408800.479 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1538408800.480 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1538408800.480 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.481 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408800.481 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.481 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.481 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538408800.482 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538408800.482 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408800.482 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.483 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.483 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.483 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.484 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.484 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.484 * [misc]backup-simplify: Simplify 0 into 0 1538408800.487 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408800.488 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1538408800.490 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538408800.493 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538408800.494 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408800.496 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538408800.497 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.499 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408800.500 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.500 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1538408800.501 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538408800.502 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538408800.504 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538408800.506 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538408800.508 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538408800.512 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538408800.517 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538408800.521 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538408800.522 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538408800.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1538408800.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408800.526 * [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)))) 1538408800.530 * [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)))) 1538408800.533 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538408800.535 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538408800.542 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538408800.542 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1538408800.543 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1538408800.543 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1538408800.543 * [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 1538408800.543 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.543 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408800.543 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408800.543 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.543 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.543 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.543 * [misc]taylor: Taking taylor expansion of k in n 1538408800.543 * [misc]backup-simplify: Simplify k into k 1538408800.543 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.543 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.543 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.543 * [misc]backup-simplify: Simplify PI into PI 1538408800.543 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.543 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.543 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.543 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.544 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408800.544 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.544 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of k in n 1538408800.544 * [misc]backup-simplify: Simplify k into k 1538408800.544 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.544 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.544 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.544 * [misc]backup-simplify: Simplify 2 into 2 1538408800.544 * [misc]taylor: Taking taylor expansion of n in n 1538408800.544 * [misc]backup-simplify: Simplify 0 into 0 1538408800.544 * [misc]backup-simplify: Simplify 1 into 1 1538408800.544 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.544 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.544 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.545 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.545 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.545 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.545 * [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))) 1538408800.545 * [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)))) 1538408800.545 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538408800.545 * [misc]taylor: Taking taylor expansion of k in n 1538408800.545 * [misc]backup-simplify: Simplify k into k 1538408800.545 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538408800.545 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538408800.545 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538408800.545 * [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 1538408800.545 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408800.545 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408800.545 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408800.545 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.546 * [misc]taylor: Taking taylor expansion of k in k 1538408800.546 * [misc]backup-simplify: Simplify 0 into 0 1538408800.546 * [misc]backup-simplify: Simplify 1 into 1 1538408800.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.546 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.546 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.546 * [misc]backup-simplify: Simplify PI into PI 1538408800.546 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.546 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.546 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.546 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.547 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408800.547 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.547 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of k in k 1538408800.547 * [misc]backup-simplify: Simplify 0 into 0 1538408800.547 * [misc]backup-simplify: Simplify 1 into 1 1538408800.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.547 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408800.547 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.547 * [misc]backup-simplify: Simplify 2 into 2 1538408800.547 * [misc]taylor: Taking taylor expansion of n in k 1538408800.547 * [misc]backup-simplify: Simplify n into n 1538408800.547 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408800.547 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408800.548 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.548 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.548 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.548 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408800.548 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.548 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408800.548 * [misc]taylor: Taking taylor expansion of k in k 1538408800.548 * [misc]backup-simplify: Simplify 0 into 0 1538408800.548 * [misc]backup-simplify: Simplify 1 into 1 1538408800.548 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.548 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.548 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538408800.548 * [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 1538408800.548 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408800.549 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408800.549 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408800.549 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.549 * [misc]taylor: Taking taylor expansion of k in k 1538408800.549 * [misc]backup-simplify: Simplify 0 into 0 1538408800.549 * [misc]backup-simplify: Simplify 1 into 1 1538408800.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.549 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.549 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.549 * [misc]backup-simplify: Simplify PI into PI 1538408800.549 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.549 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.549 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.549 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.550 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408800.550 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.550 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.550 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of k in k 1538408800.550 * [misc]backup-simplify: Simplify 0 into 0 1538408800.550 * [misc]backup-simplify: Simplify 1 into 1 1538408800.550 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.550 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408800.550 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.550 * [misc]backup-simplify: Simplify 2 into 2 1538408800.550 * [misc]taylor: Taking taylor expansion of n in k 1538408800.550 * [misc]backup-simplify: Simplify n into n 1538408800.550 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408800.550 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408800.551 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.551 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.551 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.551 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408800.551 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.551 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408800.551 * [misc]taylor: Taking taylor expansion of k in k 1538408800.551 * [misc]backup-simplify: Simplify 0 into 0 1538408800.551 * [misc]backup-simplify: Simplify 1 into 1 1538408800.551 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.551 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.552 * [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))))) 1538408800.552 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538408800.552 * [misc]taylor: Taking taylor expansion of 0 in n 1538408800.552 * [misc]backup-simplify: Simplify 0 into 0 1538408800.552 * [misc]backup-simplify: Simplify 0 into 0 1538408800.552 * [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 1538408800.553 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538408800.553 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.553 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.553 * [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 1538408800.553 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of k in n 1538408800.553 * [misc]backup-simplify: Simplify k into k 1538408800.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.553 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.553 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.553 * [misc]backup-simplify: Simplify PI into PI 1538408800.553 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.553 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.553 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.553 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.554 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408800.554 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.554 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of k in n 1538408800.554 * [misc]backup-simplify: Simplify k into k 1538408800.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.554 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.554 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.554 * [misc]backup-simplify: Simplify 2 into 2 1538408800.554 * [misc]taylor: Taking taylor expansion of n in n 1538408800.554 * [misc]backup-simplify: Simplify 0 into 0 1538408800.554 * [misc]backup-simplify: Simplify 1 into 1 1538408800.554 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.555 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.555 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.555 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.555 * [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))) 1538408800.555 * [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)))) 1538408800.556 * [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))))) 1538408800.556 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538408800.556 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408800.557 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408800.557 * [misc]backup-simplify: Simplify 0 into 0 1538408800.557 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408800.558 * [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 1538408800.558 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538408800.558 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.558 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.558 * [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 1538408800.558 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.558 * [misc]taylor: Taking taylor expansion of k in n 1538408800.558 * [misc]backup-simplify: Simplify k into k 1538408800.559 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.559 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.559 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.559 * [misc]backup-simplify: Simplify PI into PI 1538408800.559 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.559 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.559 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.559 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.559 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408800.560 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.560 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of k in n 1538408800.560 * [misc]backup-simplify: Simplify k into k 1538408800.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.560 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.560 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.560 * [misc]backup-simplify: Simplify 2 into 2 1538408800.560 * [misc]taylor: Taking taylor expansion of n in n 1538408800.560 * [misc]backup-simplify: Simplify 0 into 0 1538408800.560 * [misc]backup-simplify: Simplify 1 into 1 1538408800.560 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.561 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.561 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.561 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.561 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.562 * [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))) 1538408800.562 * [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)))) 1538408800.562 * [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))))) 1538408800.563 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538408800.564 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408800.565 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408800.565 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408800.568 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408800.568 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.568 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.568 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.568 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.569 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.569 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538408800.570 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.573 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408800.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.574 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.574 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.575 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538408800.576 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.577 * [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 1538408800.577 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538408800.577 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.578 * [misc]backup-simplify: Simplify 0 into 0 1538408800.578 * [misc]backup-simplify: Simplify 0 into 0 1538408800.579 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408800.579 * [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 1538408800.580 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538408800.580 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408800.580 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408800.580 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.580 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.580 * [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 1538408800.580 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.580 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408800.580 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408800.580 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.581 * [misc]taylor: Taking taylor expansion of k in n 1538408800.581 * [misc]backup-simplify: Simplify k into k 1538408800.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.581 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.581 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.581 * [misc]backup-simplify: Simplify PI into PI 1538408800.581 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.581 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.581 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.582 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.582 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408800.582 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.582 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.582 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.582 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.582 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.583 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.583 * [misc]taylor: Taking taylor expansion of k in n 1538408800.583 * [misc]backup-simplify: Simplify k into k 1538408800.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.583 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.583 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.583 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.583 * [misc]backup-simplify: Simplify 2 into 2 1538408800.583 * [misc]taylor: Taking taylor expansion of n in n 1538408800.583 * [misc]backup-simplify: Simplify 0 into 0 1538408800.583 * [misc]backup-simplify: Simplify 1 into 1 1538408800.583 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.583 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.583 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.583 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.584 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.584 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.584 * [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))) 1538408800.585 * [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)))) 1538408800.585 * [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))))) 1538408800.586 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538408800.586 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408800.587 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538408800.590 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538408800.591 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538408800.591 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1538408800.591 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1538408800.591 * [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 1538408800.591 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.591 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.591 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.591 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.591 * [misc]taylor: Taking taylor expansion of k in n 1538408800.591 * [misc]backup-simplify: Simplify k into k 1538408800.592 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.592 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.592 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.592 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.592 * [misc]backup-simplify: Simplify -2 into -2 1538408800.592 * [misc]taylor: Taking taylor expansion of n in n 1538408800.592 * [misc]backup-simplify: Simplify 0 into 0 1538408800.592 * [misc]backup-simplify: Simplify 1 into 1 1538408800.592 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.592 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.593 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.593 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.593 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.593 * [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))) 1538408800.594 * [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)))) 1538408800.594 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.594 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408800.594 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408800.594 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.594 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.594 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.594 * [misc]taylor: Taking taylor expansion of k in n 1538408800.594 * [misc]backup-simplify: Simplify k into k 1538408800.594 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.594 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.594 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.594 * [misc]backup-simplify: Simplify PI into PI 1538408800.595 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.595 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.595 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.595 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408800.596 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.596 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408800.596 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408800.596 * [misc]taylor: Taking taylor expansion of -1 in n 1538408800.596 * [misc]backup-simplify: Simplify -1 into -1 1538408800.596 * [misc]taylor: Taking taylor expansion of k in n 1538408800.596 * [misc]backup-simplify: Simplify k into k 1538408800.596 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408800.596 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408800.596 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408800.596 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408800.597 * [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))) 1538408800.597 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538408800.597 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538408800.597 * [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 1538408800.597 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408800.597 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408800.598 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408800.598 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.598 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.598 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.598 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.598 * [misc]taylor: Taking taylor expansion of k in k 1538408800.598 * [misc]backup-simplify: Simplify 0 into 0 1538408800.598 * [misc]backup-simplify: Simplify 1 into 1 1538408800.598 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.598 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.598 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408800.598 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408800.598 * [misc]taylor: Taking taylor expansion of -2 in k 1538408800.598 * [misc]backup-simplify: Simplify -2 into -2 1538408800.598 * [misc]taylor: Taking taylor expansion of n in k 1538408800.598 * [misc]backup-simplify: Simplify n into n 1538408800.598 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408800.598 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408800.598 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.599 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.599 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408800.599 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.599 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408800.599 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408800.599 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408800.599 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.599 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.599 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.599 * [misc]taylor: Taking taylor expansion of k in k 1538408800.599 * [misc]backup-simplify: Simplify 0 into 0 1538408800.599 * [misc]backup-simplify: Simplify 1 into 1 1538408800.599 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.599 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.599 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.600 * [misc]backup-simplify: Simplify PI into PI 1538408800.600 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.600 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.600 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.601 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408800.601 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.601 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408800.601 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408800.601 * [misc]taylor: Taking taylor expansion of -1 in k 1538408800.601 * [misc]backup-simplify: Simplify -1 into -1 1538408800.601 * [misc]taylor: Taking taylor expansion of k in k 1538408800.601 * [misc]backup-simplify: Simplify 0 into 0 1538408800.601 * [misc]backup-simplify: Simplify 1 into 1 1538408800.602 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408800.602 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.602 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408800.602 * [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))) 1538408800.603 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538408800.603 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538408800.603 * [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 1538408800.603 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408800.603 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408800.603 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408800.603 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.603 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.603 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.603 * [misc]taylor: Taking taylor expansion of k in k 1538408800.603 * [misc]backup-simplify: Simplify 0 into 0 1538408800.603 * [misc]backup-simplify: Simplify 1 into 1 1538408800.603 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.604 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408800.604 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408800.604 * [misc]taylor: Taking taylor expansion of -2 in k 1538408800.604 * [misc]backup-simplify: Simplify -2 into -2 1538408800.604 * [misc]taylor: Taking taylor expansion of n in k 1538408800.604 * [misc]backup-simplify: Simplify n into n 1538408800.604 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408800.604 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408800.604 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.604 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.604 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408800.604 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.604 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408800.604 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408800.605 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408800.605 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.605 * [misc]taylor: Taking taylor expansion of k in k 1538408800.605 * [misc]backup-simplify: Simplify 0 into 0 1538408800.605 * [misc]backup-simplify: Simplify 1 into 1 1538408800.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.605 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.605 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.605 * [misc]backup-simplify: Simplify PI into PI 1538408800.605 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.606 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.606 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.606 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408800.607 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.607 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408800.607 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408800.607 * [misc]taylor: Taking taylor expansion of -1 in k 1538408800.607 * [misc]backup-simplify: Simplify -1 into -1 1538408800.607 * [misc]taylor: Taking taylor expansion of k in k 1538408800.607 * [misc]backup-simplify: Simplify 0 into 0 1538408800.607 * [misc]backup-simplify: Simplify 1 into 1 1538408800.607 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408800.607 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.608 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408800.608 * [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))) 1538408800.608 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538408800.608 * [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 1538408800.608 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.609 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.609 * [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 1538408800.609 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.609 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of k in n 1538408800.609 * [misc]backup-simplify: Simplify k into k 1538408800.609 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.609 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.609 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.609 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.609 * [misc]backup-simplify: Simplify -2 into -2 1538408800.609 * [misc]taylor: Taking taylor expansion of n in n 1538408800.609 * [misc]backup-simplify: Simplify 0 into 0 1538408800.609 * [misc]backup-simplify: Simplify 1 into 1 1538408800.609 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.609 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.610 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.610 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.610 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.610 * [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))) 1538408800.611 * [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)))) 1538408800.611 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.611 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408800.611 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408800.611 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.611 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.611 * [misc]taylor: Taking taylor expansion of k in n 1538408800.611 * [misc]backup-simplify: Simplify k into k 1538408800.611 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.611 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.611 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.611 * [misc]backup-simplify: Simplify PI into PI 1538408800.612 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.612 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.612 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.612 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408800.613 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.613 * [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))) 1538408800.614 * [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)))) 1538408800.614 * [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)))) 1538408800.615 * [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 1538408800.615 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538408800.616 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408800.617 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408800.617 * [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 1538408800.617 * [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 1538408800.617 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.617 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.617 * [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 1538408800.617 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of k in n 1538408800.618 * [misc]backup-simplify: Simplify k into k 1538408800.618 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.618 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.618 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.618 * [misc]backup-simplify: Simplify -2 into -2 1538408800.618 * [misc]taylor: Taking taylor expansion of n in n 1538408800.618 * [misc]backup-simplify: Simplify 0 into 0 1538408800.618 * [misc]backup-simplify: Simplify 1 into 1 1538408800.618 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.618 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.618 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.619 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.619 * [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))) 1538408800.620 * [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)))) 1538408800.620 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.620 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408800.620 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408800.620 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.620 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.620 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.620 * [misc]taylor: Taking taylor expansion of k in n 1538408800.620 * [misc]backup-simplify: Simplify k into k 1538408800.620 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.620 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.620 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.620 * [misc]backup-simplify: Simplify PI into PI 1538408800.620 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.620 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.621 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.621 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408800.621 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.622 * [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))) 1538408800.622 * [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)))) 1538408800.623 * [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))))) 1538408800.624 * [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))))) 1538408800.627 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408800.627 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.627 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.628 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538408800.629 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.630 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408800.632 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408800.632 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.633 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.633 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538408800.635 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.635 * [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 1538408800.636 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538408800.636 * [misc]backup-simplify: Simplify 0 into 0 1538408800.637 * [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 1538408800.637 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.638 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408800.640 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408800.640 * [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 1538408800.640 * [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 1538408800.640 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.640 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.640 * [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 1538408800.640 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.640 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.640 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.640 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.640 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.640 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.640 * [misc]taylor: Taking taylor expansion of k in n 1538408800.640 * [misc]backup-simplify: Simplify k into k 1538408800.640 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.640 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.640 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.641 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.641 * [misc]backup-simplify: Simplify -2 into -2 1538408800.641 * [misc]taylor: Taking taylor expansion of n in n 1538408800.641 * [misc]backup-simplify: Simplify 0 into 0 1538408800.641 * [misc]backup-simplify: Simplify 1 into 1 1538408800.641 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.641 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.641 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.641 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.642 * [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))) 1538408800.642 * [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)))) 1538408800.642 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.642 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408800.642 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408800.642 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.642 * [misc]taylor: Taking taylor expansion of k in n 1538408800.642 * [misc]backup-simplify: Simplify k into k 1538408800.643 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.643 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408800.643 * [misc]taylor: Taking taylor expansion of PI in n 1538408800.643 * [misc]backup-simplify: Simplify PI into PI 1538408800.643 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.643 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.643 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.644 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408800.644 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.645 * [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))) 1538408800.645 * [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)))) 1538408800.646 * [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))))) 1538408800.647 * [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))))) 1538408800.650 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538408800.650 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1538408800.650 * [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)) 1538408800.650 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1538408800.650 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1538408800.650 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1538408800.650 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408800.651 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408800.651 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408800.651 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408800.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.651 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408800.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.651 * [misc]taylor: Taking taylor expansion of k in n 1538408800.651 * [misc]backup-simplify: Simplify k into k 1538408800.651 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.651 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.651 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.651 * [misc]backup-simplify: Simplify 2 into 2 1538408800.651 * [misc]taylor: Taking taylor expansion of n in n 1538408800.651 * [misc]backup-simplify: Simplify 0 into 0 1538408800.651 * [misc]backup-simplify: Simplify 1 into 1 1538408800.651 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.651 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.652 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.652 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408800.652 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408800.652 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408800.652 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.653 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408800.653 * [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)))) 1538408800.653 * [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))))) 1538408800.653 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538408800.653 * [misc]taylor: Taking taylor expansion of k in n 1538408800.653 * [misc]backup-simplify: Simplify k into k 1538408800.653 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538408800.653 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538408800.653 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.654 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.654 * [misc]taylor: Taking taylor expansion of k in k 1538408800.654 * [misc]backup-simplify: Simplify 0 into 0 1538408800.654 * [misc]backup-simplify: Simplify 1 into 1 1538408800.654 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408800.654 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.654 * [misc]backup-simplify: Simplify 2 into 2 1538408800.654 * [misc]taylor: Taking taylor expansion of n in k 1538408800.654 * [misc]backup-simplify: Simplify n into n 1538408800.654 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408800.654 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408800.654 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.654 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.655 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.655 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408800.655 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408800.655 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538408800.655 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408800.655 * [misc]taylor: Taking taylor expansion of k in k 1538408800.655 * [misc]backup-simplify: Simplify 0 into 0 1538408800.655 * [misc]backup-simplify: Simplify 1 into 1 1538408800.655 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.656 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.656 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.656 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.656 * [misc]taylor: Taking taylor expansion of k in k 1538408800.656 * [misc]backup-simplify: Simplify 0 into 0 1538408800.656 * [misc]backup-simplify: Simplify 1 into 1 1538408800.656 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408800.656 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.657 * [misc]backup-simplify: Simplify 2 into 2 1538408800.657 * [misc]taylor: Taking taylor expansion of n in k 1538408800.657 * [misc]backup-simplify: Simplify n into n 1538408800.657 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408800.657 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408800.657 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.657 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.657 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.657 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408800.657 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408800.658 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538408800.658 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538408800.658 * [misc]taylor: Taking taylor expansion of k in k 1538408800.658 * [misc]backup-simplify: Simplify 0 into 0 1538408800.658 * [misc]backup-simplify: Simplify 1 into 1 1538408800.658 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.658 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.659 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1538408800.659 * [misc]taylor: Taking taylor expansion of 0 in n 1538408800.659 * [misc]backup-simplify: Simplify 0 into 0 1538408800.659 * [misc]backup-simplify: Simplify 0 into 0 1538408800.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538408800.660 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538408800.660 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408800.661 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.661 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.661 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538408800.662 * [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)))) 1538408800.664 * [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)))) 1538408800.666 * [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)))) 1538408800.666 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538408800.666 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538408800.666 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.666 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.666 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538408800.666 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408800.666 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408800.666 * [misc]taylor: Taking taylor expansion of n in n 1538408800.666 * [misc]backup-simplify: Simplify 0 into 0 1538408800.666 * [misc]backup-simplify: Simplify 1 into 1 1538408800.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.667 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.667 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.667 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538408800.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.668 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538408800.668 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538408800.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.671 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538408800.672 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538408800.673 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.674 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.674 * [misc]backup-simplify: Simplify 0 into 0 1538408800.675 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408800.675 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538408800.677 * [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 1538408800.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.678 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538408800.680 * [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))) 1538408800.690 * [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))))) 1538408800.698 * [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)))))) 1538408800.698 * [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 1538408800.698 * [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 1538408800.698 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1538408800.698 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.698 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.698 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1538408800.698 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1538408800.698 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408800.698 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.698 * [misc]backup-simplify: Simplify 2 into 2 1538408800.698 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408800.698 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408800.698 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1538408800.698 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.698 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.698 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.698 * [misc]backup-simplify: Simplify 2 into 2 1538408800.698 * [misc]taylor: Taking taylor expansion of n in n 1538408800.698 * [misc]backup-simplify: Simplify 0 into 0 1538408800.698 * [misc]backup-simplify: Simplify 1 into 1 1538408800.698 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.699 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.699 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.699 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1538408800.699 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538408800.699 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.699 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538408800.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538408800.699 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408800.699 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408800.699 * [misc]taylor: Taking taylor expansion of n in n 1538408800.699 * [misc]backup-simplify: Simplify 0 into 0 1538408800.699 * [misc]backup-simplify: Simplify 1 into 1 1538408800.699 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.699 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.700 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.700 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538408800.700 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538408800.700 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.700 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.700 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538408800.700 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408800.700 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408800.700 * [misc]taylor: Taking taylor expansion of n in n 1538408800.700 * [misc]backup-simplify: Simplify 0 into 0 1538408800.700 * [misc]backup-simplify: Simplify 1 into 1 1538408800.700 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.700 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.700 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538408800.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.700 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538408800.701 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538408800.701 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.701 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1538408800.702 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1538408800.703 * [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))) 1538408800.703 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.703 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1538408800.703 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.705 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408800.706 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1538408800.706 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1538408800.708 * [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))))))) 1538408800.709 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1538408800.714 * [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))))))) 1538408800.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.715 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538408800.716 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538408800.716 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.721 * [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))))))))) 1538408800.726 * [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))))))) 1538408800.731 * [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))))))) 1538408800.732 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1538408800.732 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408800.733 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408800.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.734 * [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))) 1538408800.735 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.735 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538408800.743 * [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)))))))))))) 1538408800.743 * [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))) 1538408800.743 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1538408800.743 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.743 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of k in n 1538408800.743 * [misc]backup-simplify: Simplify k into k 1538408800.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.743 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.743 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.743 * [misc]backup-simplify: Simplify 2 into 2 1538408800.743 * [misc]taylor: Taking taylor expansion of n in n 1538408800.743 * [misc]backup-simplify: Simplify 0 into 0 1538408800.743 * [misc]backup-simplify: Simplify 1 into 1 1538408800.743 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.744 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.744 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.744 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.744 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.744 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538408800.744 * [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)))) 1538408800.745 * [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))))) 1538408800.745 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538408800.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.745 * [misc]taylor: Taking taylor expansion of k in n 1538408800.745 * [misc]backup-simplify: Simplify k into k 1538408800.745 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.745 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538408800.745 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538408800.745 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.745 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of k in k 1538408800.745 * [misc]backup-simplify: Simplify 0 into 0 1538408800.745 * [misc]backup-simplify: Simplify 1 into 1 1538408800.745 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.745 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408800.745 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.745 * [misc]backup-simplify: Simplify 2 into 2 1538408800.745 * [misc]taylor: Taking taylor expansion of n in k 1538408800.745 * [misc]backup-simplify: Simplify n into n 1538408800.745 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408800.745 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408800.746 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.746 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.746 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.746 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408800.746 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.746 * [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))))) 1538408800.746 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408800.746 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.746 * [misc]taylor: Taking taylor expansion of k in k 1538408800.746 * [misc]backup-simplify: Simplify 0 into 0 1538408800.746 * [misc]backup-simplify: Simplify 1 into 1 1538408800.746 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.746 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.747 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.747 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of k in k 1538408800.747 * [misc]backup-simplify: Simplify 0 into 0 1538408800.747 * [misc]backup-simplify: Simplify 1 into 1 1538408800.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.747 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408800.747 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.747 * [misc]backup-simplify: Simplify 2 into 2 1538408800.747 * [misc]taylor: Taking taylor expansion of n in k 1538408800.747 * [misc]backup-simplify: Simplify n into n 1538408800.747 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408800.747 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408800.747 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.747 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.748 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.748 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408800.748 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.748 * [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))))) 1538408800.748 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538408800.748 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.748 * [misc]taylor: Taking taylor expansion of k in k 1538408800.748 * [misc]backup-simplify: Simplify 0 into 0 1538408800.748 * [misc]backup-simplify: Simplify 1 into 1 1538408800.748 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.748 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.748 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408800.749 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538408800.749 * [misc]taylor: Taking taylor expansion of 0 in n 1538408800.749 * [misc]backup-simplify: Simplify 0 into 0 1538408800.749 * [misc]backup-simplify: Simplify 0 into 0 1538408800.749 * [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 1538408800.749 * [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))))))) 1538408800.749 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.749 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.749 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.749 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.749 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of k in n 1538408800.749 * [misc]backup-simplify: Simplify k into k 1538408800.749 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.749 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.749 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.749 * [misc]backup-simplify: Simplify 2 into 2 1538408800.749 * [misc]taylor: Taking taylor expansion of n in n 1538408800.749 * [misc]backup-simplify: Simplify 0 into 0 1538408800.749 * [misc]backup-simplify: Simplify 1 into 1 1538408800.750 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.750 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.750 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.750 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.750 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.750 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.750 * [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))) 1538408800.751 * [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)))) 1538408800.751 * [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))))) 1538408800.751 * [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))))) 1538408800.751 * [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))))))) 1538408800.751 * [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))))))) 1538408800.752 * [misc]backup-simplify: Simplify 0 into 0 1538408800.752 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408800.752 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408800.753 * [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 1538408800.753 * [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))))))) 1538408800.753 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.753 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.753 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.753 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of k in n 1538408800.753 * [misc]backup-simplify: Simplify k into k 1538408800.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.753 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.753 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.753 * [misc]backup-simplify: Simplify 2 into 2 1538408800.753 * [misc]taylor: Taking taylor expansion of n in n 1538408800.753 * [misc]backup-simplify: Simplify 0 into 0 1538408800.753 * [misc]backup-simplify: Simplify 1 into 1 1538408800.753 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.754 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.754 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.754 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.754 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.754 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.754 * [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))) 1538408800.754 * [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)))) 1538408800.755 * [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))))) 1538408800.755 * [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))))) 1538408800.755 * [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))))))) 1538408800.755 * [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))))))) 1538408800.756 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408800.757 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408800.757 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.757 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.757 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.758 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.758 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538408800.759 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.759 * [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 1538408800.760 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538408800.760 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.760 * [misc]backup-simplify: Simplify 0 into 0 1538408800.760 * [misc]backup-simplify: Simplify 0 into 0 1538408800.760 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.761 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408800.761 * [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 1538408800.761 * [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))))))) 1538408800.761 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538408800.761 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408800.761 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.761 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.761 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408800.761 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of k in n 1538408800.762 * [misc]backup-simplify: Simplify k into k 1538408800.762 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.762 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.762 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.762 * [misc]backup-simplify: Simplify 2 into 2 1538408800.762 * [misc]taylor: Taking taylor expansion of n in n 1538408800.762 * [misc]backup-simplify: Simplify 0 into 0 1538408800.762 * [misc]backup-simplify: Simplify 1 into 1 1538408800.762 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.762 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.762 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.762 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.762 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.763 * [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))) 1538408800.763 * [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)))) 1538408800.763 * [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))))) 1538408800.763 * [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))))) 1538408800.764 * [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))))))) 1538408800.764 * [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))))))) 1538408800.765 * [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))))))))))) 1538408800.765 * [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))) 1538408800.765 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1538408800.765 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408800.765 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408800.765 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408800.765 * [misc]taylor: Taking taylor expansion of -1 in n 1538408800.765 * [misc]backup-simplify: Simplify -1 into -1 1538408800.765 * [misc]taylor: Taking taylor expansion of k in n 1538408800.765 * [misc]backup-simplify: Simplify k into k 1538408800.766 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408800.766 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408800.766 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408800.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408800.766 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.766 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of k in n 1538408800.766 * [misc]backup-simplify: Simplify k into k 1538408800.766 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.766 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.766 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.766 * [misc]backup-simplify: Simplify -2 into -2 1538408800.766 * [misc]taylor: Taking taylor expansion of n in n 1538408800.766 * [misc]backup-simplify: Simplify 0 into 0 1538408800.766 * [misc]backup-simplify: Simplify 1 into 1 1538408800.766 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.766 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.766 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.766 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.767 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.767 * [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))) 1538408800.767 * [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)))) 1538408800.767 * [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))))) 1538408800.767 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538408800.767 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408800.767 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408800.767 * [misc]taylor: Taking taylor expansion of -1 in k 1538408800.767 * [misc]backup-simplify: Simplify -1 into -1 1538408800.767 * [misc]taylor: Taking taylor expansion of k in k 1538408800.767 * [misc]backup-simplify: Simplify 0 into 0 1538408800.767 * [misc]backup-simplify: Simplify 1 into 1 1538408800.768 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408800.768 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.768 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408800.768 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of k in k 1538408800.768 * [misc]backup-simplify: Simplify 0 into 0 1538408800.768 * [misc]backup-simplify: Simplify 1 into 1 1538408800.768 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.768 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408800.768 * [misc]taylor: Taking taylor expansion of -2 in k 1538408800.768 * [misc]backup-simplify: Simplify -2 into -2 1538408800.768 * [misc]taylor: Taking taylor expansion of n in k 1538408800.768 * [misc]backup-simplify: Simplify n into n 1538408800.768 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408800.769 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408800.769 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.769 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.769 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408800.769 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.769 * [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))) 1538408800.769 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538408800.769 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408800.769 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408800.769 * [misc]taylor: Taking taylor expansion of -1 in k 1538408800.769 * [misc]backup-simplify: Simplify -1 into -1 1538408800.769 * [misc]taylor: Taking taylor expansion of k in k 1538408800.769 * [misc]backup-simplify: Simplify 0 into 0 1538408800.769 * [misc]backup-simplify: Simplify 1 into 1 1538408800.769 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408800.769 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408800.770 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408800.770 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of k in k 1538408800.770 * [misc]backup-simplify: Simplify 0 into 0 1538408800.770 * [misc]backup-simplify: Simplify 1 into 1 1538408800.770 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.770 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.770 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408800.770 * [misc]taylor: Taking taylor expansion of -2 in k 1538408800.770 * [misc]backup-simplify: Simplify -2 into -2 1538408800.770 * [misc]taylor: Taking taylor expansion of n in k 1538408800.770 * [misc]backup-simplify: Simplify n into n 1538408800.770 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408800.770 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408800.770 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.770 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.770 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408800.771 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.771 * [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))) 1538408800.771 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.771 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.771 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of k in n 1538408800.771 * [misc]backup-simplify: Simplify k into k 1538408800.771 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.771 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.771 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.771 * [misc]backup-simplify: Simplify -2 into -2 1538408800.771 * [misc]taylor: Taking taylor expansion of n in n 1538408800.771 * [misc]backup-simplify: Simplify 0 into 0 1538408800.771 * [misc]backup-simplify: Simplify 1 into 1 1538408800.771 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.771 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.771 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.771 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.772 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.772 * [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))) 1538408800.772 * [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)))) 1538408800.772 * [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))))) 1538408800.773 * [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))))) 1538408800.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538408800.773 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408800.774 * [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))))) 1538408800.774 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.774 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.774 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of k in n 1538408800.774 * [misc]backup-simplify: Simplify k into k 1538408800.774 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.774 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.774 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.774 * [misc]backup-simplify: Simplify -2 into -2 1538408800.774 * [misc]taylor: Taking taylor expansion of n in n 1538408800.774 * [misc]backup-simplify: Simplify 0 into 0 1538408800.774 * [misc]backup-simplify: Simplify 1 into 1 1538408800.774 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.774 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.774 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.774 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.775 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.775 * [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))) 1538408800.775 * [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)))) 1538408800.775 * [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))))) 1538408800.776 * [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))))) 1538408800.776 * [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))))))) 1538408800.776 * [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))))))) 1538408800.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408800.781 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408800.781 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.781 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.782 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538408800.782 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.783 * [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 1538408800.783 * [misc]backup-simplify: Simplify 0 into 0 1538408800.783 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.784 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408800.784 * [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))))) 1538408800.784 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538408800.784 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538408800.784 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408800.784 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408800.785 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of k in n 1538408800.785 * [misc]backup-simplify: Simplify k into k 1538408800.785 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.785 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.785 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.785 * [misc]backup-simplify: Simplify -2 into -2 1538408800.785 * [misc]taylor: Taking taylor expansion of n in n 1538408800.785 * [misc]backup-simplify: Simplify 0 into 0 1538408800.785 * [misc]backup-simplify: Simplify 1 into 1 1538408800.785 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.785 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.785 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.785 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.785 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.786 * [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))) 1538408800.786 * [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)))) 1538408800.786 * [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))))) 1538408800.786 * [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))))) 1538408800.787 * [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))))))) 1538408800.787 * [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))))))) 1538408800.788 * [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))))))))) 1538408800.788 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1538408800.788 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1538408800.788 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1538408800.788 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538408800.788 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538408800.788 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538408800.788 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.788 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.789 * [misc]taylor: Taking taylor expansion of k in k 1538408800.789 * [misc]backup-simplify: Simplify 0 into 0 1538408800.789 * [misc]backup-simplify: Simplify 1 into 1 1538408800.789 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408800.789 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408800.789 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.789 * [misc]backup-simplify: Simplify 2 into 2 1538408800.789 * [misc]taylor: Taking taylor expansion of n in k 1538408800.789 * [misc]backup-simplify: Simplify n into n 1538408800.789 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408800.789 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408800.789 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.789 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.789 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.789 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538408800.789 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538408800.789 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408800.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408800.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408800.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408800.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.789 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408800.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.789 * [misc]taylor: Taking taylor expansion of k in n 1538408800.789 * [misc]backup-simplify: Simplify k into k 1538408800.789 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.789 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.789 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.789 * [misc]backup-simplify: Simplify 2 into 2 1538408800.789 * [misc]taylor: Taking taylor expansion of n in n 1538408800.789 * [misc]backup-simplify: Simplify 0 into 0 1538408800.789 * [misc]backup-simplify: Simplify 1 into 1 1538408800.790 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.790 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.790 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.790 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408800.790 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408800.790 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408800.790 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.790 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408800.791 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538408800.791 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538408800.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538408800.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538408800.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408800.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.791 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408800.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.791 * [misc]taylor: Taking taylor expansion of k in n 1538408800.791 * [misc]backup-simplify: Simplify k into k 1538408800.791 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408800.791 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408800.791 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.791 * [misc]backup-simplify: Simplify 2 into 2 1538408800.791 * [misc]taylor: Taking taylor expansion of n in n 1538408800.791 * [misc]backup-simplify: Simplify 0 into 0 1538408800.791 * [misc]backup-simplify: Simplify 1 into 1 1538408800.791 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408800.791 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408800.791 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.791 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408800.791 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408800.791 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408800.792 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.792 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538408800.792 * [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)))) 1538408800.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538408800.792 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538408800.792 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538408800.792 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408800.792 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.792 * [misc]backup-simplify: Simplify 2 into 2 1538408800.792 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.792 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408800.792 * [misc]taylor: Taking taylor expansion of n in k 1538408800.792 * [misc]backup-simplify: Simplify n into n 1538408800.792 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408800.792 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.792 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.792 * [misc]taylor: Taking taylor expansion of k in k 1538408800.792 * [misc]backup-simplify: Simplify 0 into 0 1538408800.792 * [misc]backup-simplify: Simplify 1 into 1 1538408800.793 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538408800.793 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.793 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.793 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.793 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538408800.793 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538408800.793 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538408800.794 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.795 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408800.795 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538408800.795 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.795 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.796 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.796 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538408800.797 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.797 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.797 * [misc]backup-simplify: Simplify 0 into 0 1538408800.797 * [misc]backup-simplify: Simplify 0 into 0 1538408800.797 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408800.797 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.797 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408800.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408800.799 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.800 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538408800.800 * [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))))) 1538408800.801 * [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))))) 1538408800.801 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408800.803 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408800.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538408800.804 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.804 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408800.804 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538408800.806 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408800.806 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.806 * [misc]backup-simplify: Simplify 0 into 0 1538408800.806 * [misc]backup-simplify: Simplify 0 into 0 1538408800.806 * [misc]backup-simplify: Simplify 0 into 0 1538408800.806 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.806 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.806 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.809 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408800.810 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538408800.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.810 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538408800.812 * [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))))) 1538408800.814 * [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))))) 1538408800.817 * [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))))) 1538408800.817 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.817 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538408800.817 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408800.817 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408800.817 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408800.817 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.817 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.818 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.818 * [misc]taylor: Taking taylor expansion of k in k 1538408800.818 * [misc]backup-simplify: Simplify 0 into 0 1538408800.818 * [misc]backup-simplify: Simplify 1 into 1 1538408800.818 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.818 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408800.818 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408800.818 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.818 * [misc]backup-simplify: Simplify 2 into 2 1538408800.818 * [misc]taylor: Taking taylor expansion of n in k 1538408800.818 * [misc]backup-simplify: Simplify n into n 1538408800.818 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408800.818 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408800.818 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.818 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.818 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.818 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408800.818 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538408800.818 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.818 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.818 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.819 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.819 * [misc]taylor: Taking taylor expansion of k in n 1538408800.819 * [misc]backup-simplify: Simplify k into k 1538408800.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.819 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.819 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.819 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.819 * [misc]backup-simplify: Simplify 2 into 2 1538408800.819 * [misc]taylor: Taking taylor expansion of n in n 1538408800.819 * [misc]backup-simplify: Simplify 0 into 0 1538408800.819 * [misc]backup-simplify: Simplify 1 into 1 1538408800.819 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.819 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.819 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.819 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.819 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.820 * [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))) 1538408800.820 * [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)))) 1538408800.820 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.820 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.820 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of k in n 1538408800.820 * [misc]backup-simplify: Simplify k into k 1538408800.820 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.820 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408800.820 * [misc]taylor: Taking taylor expansion of 2 in n 1538408800.820 * [misc]backup-simplify: Simplify 2 into 2 1538408800.820 * [misc]taylor: Taking taylor expansion of n in n 1538408800.820 * [misc]backup-simplify: Simplify 0 into 0 1538408800.820 * [misc]backup-simplify: Simplify 1 into 1 1538408800.820 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408800.820 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.820 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.821 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408800.821 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408800.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.821 * [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))) 1538408800.821 * [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)))) 1538408800.821 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538408800.821 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538408800.821 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.821 * [misc]taylor: Taking taylor expansion of k in k 1538408800.821 * [misc]backup-simplify: Simplify 0 into 0 1538408800.821 * [misc]backup-simplify: Simplify 1 into 1 1538408800.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.822 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538408800.822 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408800.822 * [misc]taylor: Taking taylor expansion of 2 in k 1538408800.822 * [misc]backup-simplify: Simplify 2 into 2 1538408800.822 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408800.822 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408800.822 * [misc]taylor: Taking taylor expansion of n in k 1538408800.822 * [misc]backup-simplify: Simplify n into n 1538408800.822 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408800.822 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.822 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.822 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.822 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408800.822 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538408800.822 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538408800.823 * [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)))) 1538408800.823 * [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)))) 1538408800.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408800.825 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408800.825 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.825 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.825 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.825 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.825 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.826 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538408800.826 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.826 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.826 * [misc]backup-simplify: Simplify 0 into 0 1538408800.826 * [misc]backup-simplify: Simplify 0 into 0 1538408800.826 * [misc]backup-simplify: Simplify 0 into 0 1538408800.827 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.829 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408800.829 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408800.830 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408800.830 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.830 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.830 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.830 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538408800.832 * [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 1538408800.832 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.832 * [misc]backup-simplify: Simplify 0 into 0 1538408800.832 * [misc]backup-simplify: Simplify 0 into 0 1538408800.832 * [misc]backup-simplify: Simplify 0 into 0 1538408800.832 * [misc]backup-simplify: Simplify 0 into 0 1538408800.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.837 * [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 1538408800.837 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408800.838 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408800.838 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.838 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.838 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408800.839 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538408800.842 * [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 1538408800.842 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.842 * [misc]backup-simplify: Simplify 0 into 0 1538408800.842 * [misc]backup-simplify: Simplify 0 into 0 1538408800.842 * [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)))) 1538408800.842 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.843 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538408800.843 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of k in k 1538408800.843 * [misc]backup-simplify: Simplify 0 into 0 1538408800.843 * [misc]backup-simplify: Simplify 1 into 1 1538408800.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.843 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408800.843 * [misc]taylor: Taking taylor expansion of -2 in k 1538408800.843 * [misc]backup-simplify: Simplify -2 into -2 1538408800.843 * [misc]taylor: Taking taylor expansion of n in k 1538408800.843 * [misc]backup-simplify: Simplify n into n 1538408800.843 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408800.843 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408800.843 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.844 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.844 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408800.844 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538408800.844 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.844 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of k in n 1538408800.844 * [misc]backup-simplify: Simplify k into k 1538408800.844 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.844 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.844 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.844 * [misc]backup-simplify: Simplify -2 into -2 1538408800.844 * [misc]taylor: Taking taylor expansion of n in n 1538408800.844 * [misc]backup-simplify: Simplify 0 into 0 1538408800.844 * [misc]backup-simplify: Simplify 1 into 1 1538408800.844 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.844 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.844 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.845 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.845 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.845 * [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))) 1538408800.845 * [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)))) 1538408800.845 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of k in n 1538408800.845 * [misc]backup-simplify: Simplify k into k 1538408800.845 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408800.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408800.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.845 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408800.845 * [misc]taylor: Taking taylor expansion of -2 in n 1538408800.845 * [misc]backup-simplify: Simplify -2 into -2 1538408800.845 * [misc]taylor: Taking taylor expansion of n in n 1538408800.846 * [misc]backup-simplify: Simplify 0 into 0 1538408800.846 * [misc]backup-simplify: Simplify 1 into 1 1538408800.846 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408800.846 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.846 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408800.846 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408800.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.846 * [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))) 1538408800.846 * [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)))) 1538408800.847 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of k in k 1538408800.847 * [misc]backup-simplify: Simplify 0 into 0 1538408800.847 * [misc]backup-simplify: Simplify 1 into 1 1538408800.847 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.847 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of -2 in k 1538408800.847 * [misc]backup-simplify: Simplify -2 into -2 1538408800.847 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408800.847 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408800.847 * [misc]taylor: Taking taylor expansion of n in k 1538408800.847 * [misc]backup-simplify: Simplify n into n 1538408800.847 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408800.847 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408800.847 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.847 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408800.848 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538408800.848 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538408800.848 * [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)))) 1538408800.848 * [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)))) 1538408800.848 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408800.850 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408800.850 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408800.850 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408800.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.850 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.851 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538408800.852 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408800.852 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.852 * [misc]backup-simplify: Simplify 0 into 0 1538408800.852 * [misc]backup-simplify: Simplify 0 into 0 1538408800.852 * [misc]backup-simplify: Simplify 0 into 0 1538408800.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.854 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538408800.855 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408800.855 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408800.855 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.855 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538408800.857 * [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 1538408800.857 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.857 * [misc]backup-simplify: Simplify 0 into 0 1538408800.857 * [misc]backup-simplify: Simplify 0 into 0 1538408800.857 * [misc]backup-simplify: Simplify 0 into 0 1538408800.857 * [misc]backup-simplify: Simplify 0 into 0 1538408800.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408800.861 * [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 1538408800.861 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408800.862 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408800.862 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.862 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408800.862 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1538408800.864 * [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 1538408800.864 * [misc]taylor: Taking taylor expansion of 0 in k 1538408800.864 * [misc]backup-simplify: Simplify 0 into 0 1538408800.865 * [misc]backup-simplify: Simplify 0 into 0 1538408800.865 * [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))))) 1538408800.865 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1538408800.865 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538408800.865 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1538408800.865 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408800.865 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.865 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.866 * [misc]taylor: Taking taylor expansion of k in k 1538408800.866 * [misc]backup-simplify: Simplify 0 into 0 1538408800.866 * [misc]backup-simplify: Simplify 1 into 1 1538408800.866 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.866 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.866 * [misc]backup-simplify: Simplify PI into PI 1538408800.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.866 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408800.866 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408800.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.866 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408800.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.866 * [misc]taylor: Taking taylor expansion of k in k 1538408800.866 * [misc]backup-simplify: Simplify 0 into 0 1538408800.866 * [misc]backup-simplify: Simplify 1 into 1 1538408800.866 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.866 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.866 * [misc]backup-simplify: Simplify PI into PI 1538408800.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.866 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408800.867 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.867 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408800.867 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408800.867 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408800.869 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408800.869 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408800.869 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408800.869 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408800.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408800.870 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408800.873 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408800.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408800.874 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538408800.875 * [misc]backup-simplify: Simplify 0 into 0 1538408800.879 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408800.880 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408800.880 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.883 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408800.883 * [misc]backup-simplify: Simplify 0 into 0 1538408800.891 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538408800.891 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538408800.891 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.893 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538408800.893 * [misc]backup-simplify: Simplify 0 into 0 1538408800.905 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538408800.905 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538408800.905 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.908 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538408800.908 * [misc]backup-simplify: Simplify 0 into 0 1538408800.937 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538408800.937 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1538408800.937 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.942 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538408800.942 * [misc]backup-simplify: Simplify 0 into 0 1538408800.989 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538408800.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1538408800.990 * [misc]backup-simplify: Simplify (- 0) into 0 1538408800.990 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408800.995 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538408800.995 * [misc]backup-simplify: Simplify 0 into 0 1538408800.997 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408800.997 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408800.997 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1538408800.997 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408800.997 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.997 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.997 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.998 * [misc]taylor: Taking taylor expansion of k in k 1538408800.998 * [misc]backup-simplify: Simplify 0 into 0 1538408800.998 * [misc]backup-simplify: Simplify 1 into 1 1538408800.998 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.998 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.998 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.998 * [misc]backup-simplify: Simplify PI into PI 1538408800.998 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408800.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408800.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408800.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408800.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408800.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408800.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408800.999 * [misc]taylor: Taking taylor expansion of k in k 1538408800.999 * [misc]backup-simplify: Simplify 0 into 0 1538408800.999 * [misc]backup-simplify: Simplify 1 into 1 1538408800.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408800.999 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408800.999 * [misc]taylor: Taking taylor expansion of PI in k 1538408800.999 * [misc]backup-simplify: Simplify PI into PI 1538408800.999 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408801.000 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408801.000 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408801.000 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408801.001 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408801.001 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408801.010 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408801.011 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408801.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538408801.011 * [misc]backup-simplify: Simplify (- 0) into 0 1538408801.011 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408801.012 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538408801.013 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408801.018 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408801.019 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.019 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538408801.019 * [misc]backup-simplify: Simplify (- 0) into 0 1538408801.019 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.021 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538408801.021 * [misc]backup-simplify: Simplify 0 into 0 1538408801.030 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408801.030 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538408801.031 * [misc]backup-simplify: Simplify (- 0) into 0 1538408801.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.033 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408801.033 * [misc]backup-simplify: Simplify 0 into 0 1538408801.047 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538408801.047 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538408801.048 * [misc]backup-simplify: Simplify (- 0) into 0 1538408801.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.051 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538408801.051 * [misc]backup-simplify: Simplify 0 into 0 1538408801.072 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538408801.072 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.073 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538408801.073 * [misc]backup-simplify: Simplify (- 0) into 0 1538408801.073 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.076 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538408801.076 * [misc]backup-simplify: Simplify 0 into 0 1538408801.109 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538408801.110 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.111 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538408801.111 * [misc]backup-simplify: Simplify (- 0) into 0 1538408801.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.115 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538408801.115 * [misc]backup-simplify: Simplify 0 into 0 1538408801.157 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538408801.157 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538408801.158 * [misc]backup-simplify: Simplify (- 0) into 0 1538408801.158 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.161 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538408801.161 * [misc]backup-simplify: Simplify 0 into 0 1538408801.162 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408801.162 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408801.162 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1538408801.162 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408801.162 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408801.162 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408801.162 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408801.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408801.162 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408801.162 * [misc]taylor: Taking taylor expansion of k in k 1538408801.162 * [misc]backup-simplify: Simplify 0 into 0 1538408801.162 * [misc]backup-simplify: Simplify 1 into 1 1538408801.162 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408801.162 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408801.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408801.162 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408801.162 * [misc]taylor: Taking taylor expansion of PI in k 1538408801.162 * [misc]backup-simplify: Simplify PI into PI 1538408801.163 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408801.163 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408801.163 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408801.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408801.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408801.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408801.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408801.163 * [misc]taylor: Taking taylor expansion of k in k 1538408801.163 * [misc]backup-simplify: Simplify 0 into 0 1538408801.163 * [misc]backup-simplify: Simplify 1 into 1 1538408801.163 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408801.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408801.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408801.163 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408801.163 * [misc]taylor: Taking taylor expansion of PI in k 1538408801.163 * [misc]backup-simplify: Simplify PI into PI 1538408801.163 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408801.163 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408801.163 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408801.164 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408801.164 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408801.166 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408801.166 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408801.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538408801.166 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1538408801.167 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538408801.167 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408801.170 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408801.170 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.171 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538408801.171 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.172 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538408801.172 * [misc]backup-simplify: Simplify 0 into 0 1538408801.180 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408801.181 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538408801.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408801.184 * [misc]backup-simplify: Simplify 0 into 0 1538408801.199 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538408801.200 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.200 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538408801.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.204 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538408801.204 * [misc]backup-simplify: Simplify 0 into 0 1538408801.224 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538408801.225 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538408801.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538408801.229 * [misc]backup-simplify: Simplify 0 into 0 1538408801.263 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538408801.264 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.264 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538408801.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.268 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538408801.268 * [misc]backup-simplify: Simplify 0 into 0 1538408801.298 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538408801.298 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408801.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538408801.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408801.301 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538408801.301 * [misc]backup-simplify: Simplify 0 into 0 1538408801.302 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408801.302 * * * [misc]progress: simplifying candidates 1538408801.303 * * * * [misc]progress: [ 1 / 302 ] simplifiying candidate # 1538408801.303 * * * * [misc]progress: [ 2 / 302 ] simplifiying candidate # 1538408801.303 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538408801.304 * * [misc]simplify: iters left: 6 (16 enodes) 1538408801.309 * * [misc]simplify: iters left: 5 (30 enodes) 1538408801.317 * * [misc]simplify: iters left: 4 (66 enodes) 1538408801.361 * * [misc]simplify: iters left: 3 (209 enodes) 1538408801.631 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538408801.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538408801.631 * * * * [misc]progress: [ 3 / 302 ] simplifiying candidate # 1538408801.632 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538408801.635 * * [misc]simplify: iters left: 6 (16 enodes) 1538408801.642 * * [misc]simplify: iters left: 5 (30 enodes) 1538408801.651 * * [misc]simplify: iters left: 4 (66 enodes) 1538408801.692 * * [misc]simplify: iters left: 3 (209 enodes) 1538408801.892 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538408801.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538408801.892 * * * * [misc]progress: [ 4 / 302 ] simplifiying candidate # 1538408801.893 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408801.894 * * [misc]simplify: iters left: 6 (16 enodes) 1538408801.901 * * [misc]simplify: iters left: 5 (28 enodes) 1538408801.915 * * [misc]simplify: iters left: 4 (54 enodes) 1538408801.943 * * [misc]simplify: iters left: 3 (132 enodes) 1538408802.026 * * [misc]simplify: iters left: 2 (467 enodes) 1538408802.755 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538408802.756 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538408802.756 * * * * [misc]progress: [ 5 / 302 ] simplifiying candidate # 1538408802.756 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408802.758 * * [misc]simplify: iters left: 6 (15 enodes) 1538408802.764 * * [misc]simplify: iters left: 5 (24 enodes) 1538408802.773 * * [misc]simplify: iters left: 4 (40 enodes) 1538408802.794 * * [misc]simplify: iters left: 3 (81 enodes) 1538408802.838 * * [misc]simplify: iters left: 2 (186 enodes) 1538408803.034 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1538408803.034 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1538408803.034 * * * * [misc]progress: [ 6 / 302 ] simplifiying candidate # 1538408803.034 * * * * [misc]progress: [ 7 / 302 ] simplifiying candidate # 1538408803.034 * * * * [misc]progress: [ 8 / 302 ] simplifiying candidate # 1538408803.035 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408803.037 * * [misc]simplify: iters left: 6 (21 enodes) 1538408803.048 * * [misc]simplify: iters left: 5 (44 enodes) 1538408803.078 * * [misc]simplify: iters left: 4 (134 enodes) 1538408803.171 * * [misc]simplify: iters left: 3 (495 enodes) 1538408804.018 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ k (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408804.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ k (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408804.018 * * * * [misc]progress: [ 9 / 302 ] simplifiying candidate # 1538408804.018 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408804.020 * * [misc]simplify: iters left: 6 (19 enodes) 1538408804.026 * * [misc]simplify: iters left: 5 (43 enodes) 1538408804.040 * * [misc]simplify: iters left: 4 (114 enodes) 1538408804.086 * * [misc]simplify: iters left: 3 (334 enodes) 1538408804.443 * [exit]simplify: Simplified to (pow (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 3) 1538408804.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 3))) 1538408804.443 * * * * [misc]progress: [ 10 / 302 ] simplifiying candidate # 1538408804.443 * * * * [misc]progress: [ 11 / 302 ] simplifiying candidate # 1538408804.443 * * * * [misc]progress: [ 12 / 302 ] simplifiying candidate # 1538408804.443 * * * * [misc]progress: [ 13 / 302 ] simplifiying candidate # 1538408804.443 * * * * [misc]progress: [ 14 / 302 ] simplifiying candidate # 1538408804.443 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408804.444 * * [misc]simplify: iters left: 6 (17 enodes) 1538408804.448 * * [misc]simplify: iters left: 5 (26 enodes) 1538408804.453 * * [misc]simplify: iters left: 4 (31 enodes) 1538408804.458 * * [misc]simplify: iters left: 3 (33 enodes) 1538408804.464 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408804.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408804.465 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408804.466 * * [misc]simplify: iters left: 6 (17 enodes) 1538408804.472 * * [misc]simplify: iters left: 5 (27 enodes) 1538408804.477 * * [misc]simplify: iters left: 4 (41 enodes) 1538408804.486 * * [misc]simplify: iters left: 3 (71 enodes) 1538408804.497 * * [misc]simplify: iters left: 2 (93 enodes) 1538408804.509 * * [misc]simplify: iters left: 1 (101 enodes) 1538408804.524 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408804.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408804.525 * * * * [misc]progress: [ 15 / 302 ] simplifiying candidate # 1538408804.525 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408804.526 * * [misc]simplify: iters left: 6 (16 enodes) 1538408804.529 * * [misc]simplify: iters left: 5 (23 enodes) 1538408804.533 * * [misc]simplify: iters left: 4 (28 enodes) 1538408804.539 * * [misc]simplify: iters left: 3 (30 enodes) 1538408804.548 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408804.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408804.549 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408804.550 * * [misc]simplify: iters left: 6 (17 enodes) 1538408804.557 * * [misc]simplify: iters left: 5 (27 enodes) 1538408804.567 * * [misc]simplify: iters left: 4 (41 enodes) 1538408804.584 * * [misc]simplify: iters left: 3 (71 enodes) 1538408804.604 * * [misc]simplify: iters left: 2 (93 enodes) 1538408804.627 * * [misc]simplify: iters left: 1 (101 enodes) 1538408804.656 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408804.657 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408804.657 * * * * [misc]progress: [ 16 / 302 ] simplifiying candidate # 1538408804.657 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408804.658 * * [misc]simplify: iters left: 6 (15 enodes) 1538408804.669 * * [misc]simplify: iters left: 5 (25 enodes) 1538408804.678 * * [misc]simplify: iters left: 4 (34 enodes) 1538408804.691 * * [misc]simplify: iters left: 3 (48 enodes) 1538408804.706 * * [misc]simplify: iters left: 2 (53 enodes) 1538408804.721 * * [misc]simplify: iters left: 1 (60 enodes) 1538408804.736 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408804.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408804.736 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408804.737 * * [misc]simplify: iters left: 6 (15 enodes) 1538408804.740 * * [misc]simplify: iters left: 5 (26 enodes) 1538408804.746 * * [misc]simplify: iters left: 4 (42 enodes) 1538408804.756 * * [misc]simplify: iters left: 3 (78 enodes) 1538408804.773 * * [misc]simplify: iters left: 2 (126 enodes) 1538408804.812 * * [misc]simplify: iters left: 1 (179 enodes) 1538408804.885 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408804.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408804.885 * * * * [misc]progress: [ 17 / 302 ] simplifiying candidate # 1538408804.885 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408804.886 * * [misc]simplify: iters left: 6 (15 enodes) 1538408804.890 * * [misc]simplify: iters left: 5 (25 enodes) 1538408804.895 * * [misc]simplify: iters left: 4 (34 enodes) 1538408804.902 * * [misc]simplify: iters left: 3 (48 enodes) 1538408804.911 * * [misc]simplify: iters left: 2 (53 enodes) 1538408804.919 * * [misc]simplify: iters left: 1 (60 enodes) 1538408804.931 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408804.931 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408804.931 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408804.933 * * [misc]simplify: iters left: 6 (15 enodes) 1538408804.941 * * [misc]simplify: iters left: 5 (26 enodes) 1538408804.951 * * [misc]simplify: iters left: 4 (42 enodes) 1538408804.970 * * [misc]simplify: iters left: 3 (78 enodes) 1538408804.997 * * [misc]simplify: iters left: 2 (126 enodes) 1538408805.026 * * [misc]simplify: iters left: 1 (179 enodes) 1538408805.111 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408805.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408805.111 * * * * [misc]progress: [ 18 / 302 ] simplifiying candidate # 1538408805.111 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408805.113 * * [misc]simplify: iters left: 6 (16 enodes) 1538408805.120 * * [misc]simplify: iters left: 5 (26 enodes) 1538408805.129 * * [misc]simplify: iters left: 4 (38 enodes) 1538408805.143 * * [misc]simplify: iters left: 3 (52 enodes) 1538408805.158 * * [misc]simplify: iters left: 2 (57 enodes) 1538408805.174 * * [misc]simplify: iters left: 1 (64 enodes) 1538408805.197 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408805.198 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408805.199 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408805.200 * * [misc]simplify: iters left: 6 (15 enodes) 1538408805.207 * * [misc]simplify: iters left: 5 (26 enodes) 1538408805.217 * * [misc]simplify: iters left: 4 (43 enodes) 1538408805.238 * * [misc]simplify: iters left: 3 (79 enodes) 1538408805.268 * * [misc]simplify: iters left: 2 (127 enodes) 1538408805.314 * * [misc]simplify: iters left: 1 (180 enodes) 1538408805.391 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408805.391 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408805.391 * * * * [misc]progress: [ 19 / 302 ] simplifiying candidate # 1538408805.391 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408805.393 * * [misc]simplify: iters left: 6 (19 enodes) 1538408805.401 * * [misc]simplify: iters left: 5 (34 enodes) 1538408805.414 * * [misc]simplify: iters left: 4 (57 enodes) 1538408805.434 * * [misc]simplify: iters left: 3 (84 enodes) 1538408805.463 * * [misc]simplify: iters left: 2 (118 enodes) 1538408805.503 * * [misc]simplify: iters left: 1 (141 enodes) 1538408805.575 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408805.575 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408805.576 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408805.578 * * [misc]simplify: iters left: 6 (18 enodes) 1538408805.585 * * [misc]simplify: iters left: 5 (30 enodes) 1538408805.597 * * [misc]simplify: iters left: 4 (47 enodes) 1538408805.618 * * [misc]simplify: iters left: 3 (83 enodes) 1538408805.644 * * [misc]simplify: iters left: 2 (131 enodes) 1538408805.690 * * [misc]simplify: iters left: 1 (184 enodes) 1538408805.760 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408805.760 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408805.760 * * * * [misc]progress: [ 20 / 302 ] simplifiying candidate # 1538408805.760 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408805.762 * * [misc]simplify: iters left: 6 (18 enodes) 1538408805.766 * * [misc]simplify: iters left: 5 (29 enodes) 1538408805.772 * * [misc]simplify: iters left: 4 (41 enodes) 1538408805.780 * * [misc]simplify: iters left: 3 (55 enodes) 1538408805.788 * * [misc]simplify: iters left: 2 (60 enodes) 1538408805.798 * * [misc]simplify: iters left: 1 (67 enodes) 1538408805.826 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408805.826 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408805.826 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408805.827 * * [misc]simplify: iters left: 6 (18 enodes) 1538408805.831 * * [misc]simplify: iters left: 5 (30 enodes) 1538408805.837 * * [misc]simplify: iters left: 4 (47 enodes) 1538408805.851 * * [misc]simplify: iters left: 3 (83 enodes) 1538408805.882 * * [misc]simplify: iters left: 2 (131 enodes) 1538408805.921 * * [misc]simplify: iters left: 1 (184 enodes) 1538408805.976 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408805.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408805.976 * * * * [misc]progress: [ 21 / 302 ] simplifiying candidate # 1538408805.976 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408805.977 * * [misc]simplify: iters left: 6 (12 enodes) 1538408805.980 * * [misc]simplify: iters left: 5 (22 enodes) 1538408805.985 * * [misc]simplify: iters left: 4 (35 enodes) 1538408805.995 * * [misc]simplify: iters left: 3 (57 enodes) 1538408806.019 * * [misc]simplify: iters left: 2 (124 enodes) 1538408806.073 * * [misc]simplify: iters left: 1 (186 enodes) 1538408806.101 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538408806.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408806.101 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408806.102 * * [misc]simplify: iters left: 6 (17 enodes) 1538408806.106 * * [misc]simplify: iters left: 5 (29 enodes) 1538408806.112 * * [misc]simplify: iters left: 4 (46 enodes) 1538408806.127 * * [misc]simplify: iters left: 3 (82 enodes) 1538408806.157 * * [misc]simplify: iters left: 2 (130 enodes) 1538408806.205 * * [misc]simplify: iters left: 1 (183 enodes) 1538408806.289 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408806.289 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408806.289 * * * * [misc]progress: [ 22 / 302 ] simplifiying candidate # 1538408806.289 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408806.291 * * [misc]simplify: iters left: 6 (14 enodes) 1538408806.297 * * [misc]simplify: iters left: 5 (22 enodes) 1538408806.304 * * [misc]simplify: iters left: 4 (27 enodes) 1538408806.313 * * [misc]simplify: iters left: 3 (31 enodes) 1538408806.323 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408806.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408806.323 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408806.325 * * [misc]simplify: iters left: 6 (15 enodes) 1538408806.331 * * [misc]simplify: iters left: 5 (26 enodes) 1538408806.337 * * [misc]simplify: iters left: 4 (42 enodes) 1538408806.347 * * [misc]simplify: iters left: 3 (78 enodes) 1538408806.365 * * [misc]simplify: iters left: 2 (126 enodes) 1538408806.390 * * [misc]simplify: iters left: 1 (179 enodes) 1538408806.444 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408806.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408806.444 * * * * [misc]progress: [ 23 / 302 ] simplifiying candidate # 1538408806.444 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408806.445 * * [misc]simplify: iters left: 6 (14 enodes) 1538408806.448 * * [misc]simplify: iters left: 5 (22 enodes) 1538408806.456 * * [misc]simplify: iters left: 4 (27 enodes) 1538408806.464 * * [misc]simplify: iters left: 3 (31 enodes) 1538408806.475 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408806.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408806.475 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408806.477 * * [misc]simplify: iters left: 6 (15 enodes) 1538408806.483 * * [misc]simplify: iters left: 5 (26 enodes) 1538408806.494 * * [misc]simplify: iters left: 4 (42 enodes) 1538408806.511 * * [misc]simplify: iters left: 3 (78 enodes) 1538408806.540 * * [misc]simplify: iters left: 2 (126 enodes) 1538408806.577 * * [misc]simplify: iters left: 1 (179 enodes) 1538408806.629 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408806.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408806.629 * * * * [misc]progress: [ 24 / 302 ] simplifiying candidate # 1538408806.630 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408806.630 * * [misc]simplify: iters left: 6 (15 enodes) 1538408806.634 * * [misc]simplify: iters left: 5 (23 enodes) 1538408806.638 * * [misc]simplify: iters left: 4 (31 enodes) 1538408806.643 * * [misc]simplify: iters left: 3 (35 enodes) 1538408806.652 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408806.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408806.652 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408806.653 * * [misc]simplify: iters left: 6 (15 enodes) 1538408806.657 * * [misc]simplify: iters left: 5 (26 enodes) 1538408806.662 * * [misc]simplify: iters left: 4 (43 enodes) 1538408806.672 * * [misc]simplify: iters left: 3 (79 enodes) 1538408806.698 * * [misc]simplify: iters left: 2 (127 enodes) 1538408806.725 * * [misc]simplify: iters left: 1 (180 enodes) 1538408806.773 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408806.773 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408806.773 * * * * [misc]progress: [ 25 / 302 ] simplifiying candidate # 1538408806.773 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408806.775 * * [misc]simplify: iters left: 6 (18 enodes) 1538408806.783 * * [misc]simplify: iters left: 5 (29 enodes) 1538408806.794 * * [misc]simplify: iters left: 4 (39 enodes) 1538408806.808 * * [misc]simplify: iters left: 3 (50 enodes) 1538408806.824 * * [misc]simplify: iters left: 2 (58 enodes) 1538408806.839 * * [misc]simplify: iters left: 1 (60 enodes) 1538408806.870 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408806.870 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408806.870 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408806.872 * * [misc]simplify: iters left: 6 (18 enodes) 1538408806.880 * * [misc]simplify: iters left: 5 (30 enodes) 1538408806.891 * * [misc]simplify: iters left: 4 (47 enodes) 1538408806.905 * * [misc]simplify: iters left: 3 (83 enodes) 1538408806.921 * * [misc]simplify: iters left: 2 (131 enodes) 1538408806.956 * * [misc]simplify: iters left: 1 (184 enodes) 1538408807.036 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408807.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408807.036 * * * * [misc]progress: [ 26 / 302 ] simplifiying candidate # 1538408807.037 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408807.038 * * [misc]simplify: iters left: 6 (17 enodes) 1538408807.045 * * [misc]simplify: iters left: 5 (26 enodes) 1538408807.054 * * [misc]simplify: iters left: 4 (34 enodes) 1538408807.064 * * [misc]simplify: iters left: 3 (38 enodes) 1538408807.077 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408807.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408807.077 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408807.079 * * [misc]simplify: iters left: 6 (18 enodes) 1538408807.091 * * [misc]simplify: iters left: 5 (30 enodes) 1538408807.101 * * [misc]simplify: iters left: 4 (47 enodes) 1538408807.112 * * [misc]simplify: iters left: 3 (83 enodes) 1538408807.128 * * [misc]simplify: iters left: 2 (131 enodes) 1538408807.153 * * [misc]simplify: iters left: 1 (184 enodes) 1538408807.197 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408807.198 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408807.198 * * * * [misc]progress: [ 27 / 302 ] simplifiying candidate # 1538408807.198 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1538408807.198 * * [misc]simplify: iters left: 6 (11 enodes) 1538408807.201 * * [misc]simplify: iters left: 5 (19 enodes) 1538408807.205 * * [misc]simplify: iters left: 4 (28 enodes) 1538408807.209 * * [misc]simplify: iters left: 3 (32 enodes) 1538408807.213 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538408807.213 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408807.214 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408807.214 * * [misc]simplify: iters left: 6 (17 enodes) 1538408807.219 * * [misc]simplify: iters left: 5 (29 enodes) 1538408807.225 * * [misc]simplify: iters left: 4 (46 enodes) 1538408807.235 * * [misc]simplify: iters left: 3 (82 enodes) 1538408807.253 * * [misc]simplify: iters left: 2 (130 enodes) 1538408807.278 * * [misc]simplify: iters left: 1 (183 enodes) 1538408807.327 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408807.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408807.327 * * * * [misc]progress: [ 28 / 302 ] simplifiying candidate # 1538408807.328 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538408807.329 * * [misc]simplify: iters left: 6 (12 enodes) 1538408807.335 * * [misc]simplify: iters left: 5 (22 enodes) 1538408807.342 * * [misc]simplify: iters left: 4 (26 enodes) 1538408807.351 * * [misc]simplify: iters left: 3 (37 enodes) 1538408807.362 * * [misc]simplify: iters left: 2 (42 enodes) 1538408807.374 * * [misc]simplify: iters left: 1 (51 enodes) 1538408807.390 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408807.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408807.390 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408807.392 * * [misc]simplify: iters left: 6 (14 enodes) 1538408807.398 * * [misc]simplify: iters left: 5 (25 enodes) 1538408807.409 * * [misc]simplify: iters left: 4 (41 enodes) 1538408807.426 * * [misc]simplify: iters left: 3 (77 enodes) 1538408807.454 * * [misc]simplify: iters left: 2 (125 enodes) 1538408807.482 * * [misc]simplify: iters left: 1 (178 enodes) 1538408807.546 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408807.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408807.546 * * * * [misc]progress: [ 29 / 302 ] simplifiying candidate # 1538408807.546 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538408807.548 * * [misc]simplify: iters left: 6 (12 enodes) 1538408807.557 * * [misc]simplify: iters left: 5 (22 enodes) 1538408807.564 * * [misc]simplify: iters left: 4 (26 enodes) 1538408807.573 * * [misc]simplify: iters left: 3 (37 enodes) 1538408807.584 * * [misc]simplify: iters left: 2 (42 enodes) 1538408807.596 * * [misc]simplify: iters left: 1 (51 enodes) 1538408807.611 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408807.611 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408807.612 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408807.613 * * [misc]simplify: iters left: 6 (14 enodes) 1538408807.620 * * [misc]simplify: iters left: 5 (25 enodes) 1538408807.629 * * [misc]simplify: iters left: 4 (41 enodes) 1538408807.647 * * [misc]simplify: iters left: 3 (77 enodes) 1538408807.672 * * [misc]simplify: iters left: 2 (125 enodes) 1538408807.698 * * [misc]simplify: iters left: 1 (178 enodes) 1538408807.738 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408807.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408807.738 * * * * [misc]progress: [ 30 / 302 ] simplifiying candidate # 1538408807.738 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408807.739 * * [misc]simplify: iters left: 6 (14 enodes) 1538408807.742 * * [misc]simplify: iters left: 5 (24 enodes) 1538408807.747 * * [misc]simplify: iters left: 4 (31 enodes) 1538408807.756 * * [misc]simplify: iters left: 3 (42 enodes) 1538408807.762 * * [misc]simplify: iters left: 2 (47 enodes) 1538408807.769 * * [misc]simplify: iters left: 1 (57 enodes) 1538408807.779 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538408807.779 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408807.780 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408807.781 * * [misc]simplify: iters left: 6 (14 enodes) 1538408807.784 * * [misc]simplify: iters left: 5 (25 enodes) 1538408807.789 * * [misc]simplify: iters left: 4 (42 enodes) 1538408807.799 * * [misc]simplify: iters left: 3 (78 enodes) 1538408807.814 * * [misc]simplify: iters left: 2 (126 enodes) 1538408807.841 * * [misc]simplify: iters left: 1 (179 enodes) 1538408807.881 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1538408807.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1538408807.881 * * * * [misc]progress: [ 31 / 302 ] simplifiying candidate # 1538408807.881 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408807.882 * * [misc]simplify: iters left: 6 (17 enodes) 1538408807.886 * * [misc]simplify: iters left: 5 (30 enodes) 1538408807.892 * * [misc]simplify: iters left: 4 (39 enodes) 1538408807.906 * * [misc]simplify: iters left: 3 (56 enodes) 1538408807.923 * * [misc]simplify: iters left: 2 (73 enodes) 1538408807.937 * * [misc]simplify: iters left: 1 (94 enodes) 1538408807.963 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1538408807.963 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408807.963 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408807.965 * * [misc]simplify: iters left: 6 (17 enodes) 1538408807.973 * * [misc]simplify: iters left: 5 (29 enodes) 1538408807.985 * * [misc]simplify: iters left: 4 (46 enodes) 1538408808.010 * * [misc]simplify: iters left: 3 (82 enodes) 1538408808.030 * * [misc]simplify: iters left: 2 (130 enodes) 1538408808.064 * * [misc]simplify: iters left: 1 (183 enodes) 1538408808.113 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408808.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408808.113 * * * * [misc]progress: [ 32 / 302 ] simplifiying candidate # 1538408808.113 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408808.114 * * [misc]simplify: iters left: 6 (16 enodes) 1538408808.118 * * [misc]simplify: iters left: 5 (27 enodes) 1538408808.125 * * [misc]simplify: iters left: 4 (34 enodes) 1538408808.137 * * [misc]simplify: iters left: 3 (45 enodes) 1538408808.150 * * [misc]simplify: iters left: 2 (50 enodes) 1538408808.167 * * [misc]simplify: iters left: 1 (60 enodes) 1538408808.187 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408808.187 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408808.187 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408808.189 * * [misc]simplify: iters left: 6 (17 enodes) 1538408808.196 * * [misc]simplify: iters left: 5 (29 enodes) 1538408808.207 * * [misc]simplify: iters left: 4 (46 enodes) 1538408808.217 * * [misc]simplify: iters left: 3 (82 enodes) 1538408808.232 * * [misc]simplify: iters left: 2 (130 enodes) 1538408808.257 * * [misc]simplify: iters left: 1 (183 enodes) 1538408808.306 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408808.306 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408808.306 * * * * [misc]progress: [ 33 / 302 ] simplifiying candidate # 1538408808.307 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1538408808.307 * * [misc]simplify: iters left: 6 (8 enodes) 1538408808.311 * * [misc]simplify: iters left: 5 (14 enodes) 1538408808.316 * * [misc]simplify: iters left: 4 (16 enodes) 1538408808.320 * * [misc]simplify: iters left: 3 (18 enodes) 1538408808.324 * [exit]simplify: Simplified to (sqrt PI) 1538408808.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408808.324 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408808.326 * * [misc]simplify: iters left: 6 (16 enodes) 1538408808.333 * * [misc]simplify: iters left: 5 (28 enodes) 1538408808.344 * * [misc]simplify: iters left: 4 (45 enodes) 1538408808.363 * * [misc]simplify: iters left: 3 (81 enodes) 1538408808.394 * * [misc]simplify: iters left: 2 (129 enodes) 1538408808.418 * * [misc]simplify: iters left: 1 (181 enodes) 1538408808.480 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408808.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408808.480 * * * * [misc]progress: [ 34 / 302 ] simplifiying candidate # 1538408808.481 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1538408808.482 * * [misc]simplify: iters left: 6 (7 enodes) 1538408808.485 * * [misc]simplify: iters left: 5 (13 enodes) 1538408808.491 * * [misc]simplify: iters left: 4 (19 enodes) 1538408808.496 * [exit]simplify: Simplified to (sqrt PI) 1538408808.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408808.496 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408808.498 * * [misc]simplify: iters left: 6 (16 enodes) 1538408808.505 * * [misc]simplify: iters left: 5 (28 enodes) 1538408808.517 * * [misc]simplify: iters left: 4 (45 enodes) 1538408808.536 * * [misc]simplify: iters left: 3 (81 enodes) 1538408808.566 * * [misc]simplify: iters left: 2 (129 enodes) 1538408808.609 * * [misc]simplify: iters left: 1 (181 enodes) 1538408808.665 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408808.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408808.665 * * * * [misc]progress: [ 35 / 302 ] simplifiying candidate # 1538408808.665 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1538408808.666 * * [misc]simplify: iters left: 6 (8 enodes) 1538408808.668 * * [misc]simplify: iters left: 5 (12 enodes) 1538408808.670 * * [misc]simplify: iters left: 4 (14 enodes) 1538408808.673 * * [misc]simplify: iters left: 3 (16 enodes) 1538408808.678 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538408808.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408808.679 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408808.680 * * [misc]simplify: iters left: 6 (16 enodes) 1538408808.688 * * [misc]simplify: iters left: 5 (30 enodes) 1538408808.699 * * [misc]simplify: iters left: 4 (45 enodes) 1538408808.711 * * [misc]simplify: iters left: 3 (88 enodes) 1538408808.731 * * [misc]simplify: iters left: 2 (130 enodes) 1538408808.756 * * [misc]simplify: iters left: 1 (185 enodes) 1538408808.830 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1538408808.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1538408808.830 * * * * [misc]progress: [ 36 / 302 ] simplifiying candidate # 1538408808.830 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408808.832 * * [misc]simplify: iters left: 6 (13 enodes) 1538408808.838 * * [misc]simplify: iters left: 5 (21 enodes) 1538408808.845 * * [misc]simplify: iters left: 4 (26 enodes) 1538408808.854 * * [misc]simplify: iters left: 3 (30 enodes) 1538408808.863 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1538408808.863 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538408808.863 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1538408808.864 * * [misc]simplify: iters left: 6 (12 enodes) 1538408808.870 * * [misc]simplify: iters left: 5 (21 enodes) 1538408808.878 * * [misc]simplify: iters left: 4 (34 enodes) 1538408808.890 * * [misc]simplify: iters left: 3 (64 enodes) 1538408808.902 * * [misc]simplify: iters left: 2 (86 enodes) 1538408808.913 * * [misc]simplify: iters left: 1 (94 enodes) 1538408808.929 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538408808.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538408808.930 * * * * [misc]progress: [ 37 / 302 ] simplifiying candidate # 1538408808.930 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408808.931 * * [misc]simplify: iters left: 6 (17 enodes) 1538408808.935 * * [misc]simplify: iters left: 5 (26 enodes) 1538408808.939 * * [misc]simplify: iters left: 4 (31 enodes) 1538408808.945 * * [misc]simplify: iters left: 3 (33 enodes) 1538408808.957 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408808.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408808.958 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408808.960 * * [misc]simplify: iters left: 6 (17 enodes) 1538408808.967 * * [misc]simplify: iters left: 5 (27 enodes) 1538408808.978 * * [misc]simplify: iters left: 4 (41 enodes) 1538408808.996 * * [misc]simplify: iters left: 3 (71 enodes) 1538408809.018 * * [misc]simplify: iters left: 2 (93 enodes) 1538408809.045 * * [misc]simplify: iters left: 1 (101 enodes) 1538408809.072 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408809.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408809.073 * * * * [misc]progress: [ 38 / 302 ] simplifiying candidate # 1538408809.073 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408809.074 * * [misc]simplify: iters left: 6 (16 enodes) 1538408809.080 * * [misc]simplify: iters left: 5 (23 enodes) 1538408809.087 * * [misc]simplify: iters left: 4 (28 enodes) 1538408809.093 * * [misc]simplify: iters left: 3 (30 enodes) 1538408809.098 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408809.098 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408809.098 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408809.099 * * [misc]simplify: iters left: 6 (17 enodes) 1538408809.103 * * [misc]simplify: iters left: 5 (27 enodes) 1538408809.109 * * [misc]simplify: iters left: 4 (41 enodes) 1538408809.119 * * [misc]simplify: iters left: 3 (71 enodes) 1538408809.137 * * [misc]simplify: iters left: 2 (93 enodes) 1538408809.151 * * [misc]simplify: iters left: 1 (101 enodes) 1538408809.170 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408809.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408809.170 * * * * [misc]progress: [ 39 / 302 ] simplifiying candidate # 1538408809.170 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408809.172 * * [misc]simplify: iters left: 6 (15 enodes) 1538408809.177 * * [misc]simplify: iters left: 5 (25 enodes) 1538408809.186 * * [misc]simplify: iters left: 4 (34 enodes) 1538408809.197 * * [misc]simplify: iters left: 3 (48 enodes) 1538408809.210 * * [misc]simplify: iters left: 2 (53 enodes) 1538408809.223 * * [misc]simplify: iters left: 1 (60 enodes) 1538408809.242 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408809.242 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408809.242 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408809.247 * * [misc]simplify: iters left: 6 (15 enodes) 1538408809.253 * * [misc]simplify: iters left: 5 (26 enodes) 1538408809.265 * * [misc]simplify: iters left: 4 (42 enodes) 1538408809.282 * * [misc]simplify: iters left: 3 (78 enodes) 1538408809.311 * * [misc]simplify: iters left: 2 (126 enodes) 1538408809.357 * * [misc]simplify: iters left: 1 (179 enodes) 1538408809.422 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408809.422 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408809.422 * * * * [misc]progress: [ 40 / 302 ] simplifiying candidate # 1538408809.422 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408809.423 * * [misc]simplify: iters left: 6 (15 enodes) 1538408809.427 * * [misc]simplify: iters left: 5 (25 enodes) 1538408809.431 * * [misc]simplify: iters left: 4 (34 enodes) 1538408809.438 * * [misc]simplify: iters left: 3 (48 enodes) 1538408809.446 * * [misc]simplify: iters left: 2 (53 enodes) 1538408809.454 * * [misc]simplify: iters left: 1 (60 enodes) 1538408809.468 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408809.468 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408809.468 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408809.469 * * [misc]simplify: iters left: 6 (15 enodes) 1538408809.473 * * [misc]simplify: iters left: 5 (26 enodes) 1538408809.478 * * [misc]simplify: iters left: 4 (42 enodes) 1538408809.489 * * [misc]simplify: iters left: 3 (78 enodes) 1538408809.509 * * [misc]simplify: iters left: 2 (126 enodes) 1538408809.534 * * [misc]simplify: iters left: 1 (179 enodes) 1538408809.602 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408809.602 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408809.602 * * * * [misc]progress: [ 41 / 302 ] simplifiying candidate # 1538408809.602 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408809.604 * * [misc]simplify: iters left: 6 (16 enodes) 1538408809.611 * * [misc]simplify: iters left: 5 (26 enodes) 1538408809.621 * * [misc]simplify: iters left: 4 (38 enodes) 1538408809.635 * * [misc]simplify: iters left: 3 (52 enodes) 1538408809.651 * * [misc]simplify: iters left: 2 (57 enodes) 1538408809.671 * * [misc]simplify: iters left: 1 (64 enodes) 1538408809.693 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408809.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408809.693 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408809.695 * * [misc]simplify: iters left: 6 (15 enodes) 1538408809.701 * * [misc]simplify: iters left: 5 (26 enodes) 1538408809.711 * * [misc]simplify: iters left: 4 (43 enodes) 1538408809.729 * * [misc]simplify: iters left: 3 (79 enodes) 1538408809.758 * * [misc]simplify: iters left: 2 (127 enodes) 1538408809.785 * * [misc]simplify: iters left: 1 (180 enodes) 1538408809.824 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408809.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408809.825 * * * * [misc]progress: [ 42 / 302 ] simplifiying candidate # 1538408809.825 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408809.826 * * [misc]simplify: iters left: 6 (19 enodes) 1538408809.831 * * [misc]simplify: iters left: 5 (34 enodes) 1538408809.838 * * [misc]simplify: iters left: 4 (57 enodes) 1538408809.853 * * [misc]simplify: iters left: 3 (84 enodes) 1538408809.870 * * [misc]simplify: iters left: 2 (118 enodes) 1538408809.902 * * [misc]simplify: iters left: 1 (141 enodes) 1538408809.946 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408809.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408809.946 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408809.948 * * [misc]simplify: iters left: 6 (18 enodes) 1538408809.952 * * [misc]simplify: iters left: 5 (30 enodes) 1538408809.959 * * [misc]simplify: iters left: 4 (47 enodes) 1538408809.978 * * [misc]simplify: iters left: 3 (83 enodes) 1538408809.999 * * [misc]simplify: iters left: 2 (131 enodes) 1538408810.025 * * [misc]simplify: iters left: 1 (184 enodes) 1538408810.068 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408810.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408810.068 * * * * [misc]progress: [ 43 / 302 ] simplifiying candidate # 1538408810.068 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408810.070 * * [misc]simplify: iters left: 6 (18 enodes) 1538408810.078 * * [misc]simplify: iters left: 5 (29 enodes) 1538408810.088 * * [misc]simplify: iters left: 4 (41 enodes) 1538408810.107 * * [misc]simplify: iters left: 3 (55 enodes) 1538408810.124 * * [misc]simplify: iters left: 2 (60 enodes) 1538408810.141 * * [misc]simplify: iters left: 1 (67 enodes) 1538408810.157 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408810.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408810.157 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408810.158 * * [misc]simplify: iters left: 6 (18 enodes) 1538408810.162 * * [misc]simplify: iters left: 5 (30 enodes) 1538408810.173 * * [misc]simplify: iters left: 4 (47 enodes) 1538408810.192 * * [misc]simplify: iters left: 3 (83 enodes) 1538408810.217 * * [misc]simplify: iters left: 2 (131 enodes) 1538408810.241 * * [misc]simplify: iters left: 1 (184 enodes) 1538408810.325 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408810.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408810.326 * * * * [misc]progress: [ 44 / 302 ] simplifiying candidate # 1538408810.326 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408810.327 * * [misc]simplify: iters left: 6 (12 enodes) 1538408810.333 * * [misc]simplify: iters left: 5 (22 enodes) 1538408810.342 * * [misc]simplify: iters left: 4 (35 enodes) 1538408810.357 * * [misc]simplify: iters left: 3 (57 enodes) 1538408810.380 * * [misc]simplify: iters left: 2 (124 enodes) 1538408810.432 * * [misc]simplify: iters left: 1 (186 enodes) 1538408810.465 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538408810.465 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408810.466 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408810.467 * * [misc]simplify: iters left: 6 (17 enodes) 1538408810.474 * * [misc]simplify: iters left: 5 (29 enodes) 1538408810.484 * * [misc]simplify: iters left: 4 (46 enodes) 1538408810.501 * * [misc]simplify: iters left: 3 (82 enodes) 1538408810.526 * * [misc]simplify: iters left: 2 (130 enodes) 1538408810.570 * * [misc]simplify: iters left: 1 (183 enodes) 1538408810.638 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538408810.638 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538408810.638 * * * * [misc]progress: [ 45 / 302 ] simplifiying candidate # 1538408810.638 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408810.639 * * [misc]simplify: iters left: 6 (14 enodes) 1538408810.644 * * [misc]simplify: iters left: 5 (22 enodes) 1538408810.651 * * [misc]simplify: iters left: 4 (27 enodes) 1538408810.658 * * [misc]simplify: iters left: 3 (31 enodes) 1538408810.671 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408810.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408810.671 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408810.673 * * [misc]simplify: iters left: 6 (15 enodes) 1538408810.678 * * [misc]simplify: iters left: 5 (26 enodes) 1538408810.687 * * [misc]simplify: iters left: 4 (42 enodes) 1538408810.703 * * [misc]simplify: iters left: 3 (78 enodes) 1538408810.723 * * [misc]simplify: iters left: 2 (126 enodes) 1538408810.748 * * [misc]simplify: iters left: 1 (179 enodes) 1538408810.806 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408810.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408810.807 * * * * [misc]progress: [ 46 / 302 ] simplifiying candidate # 1538408810.807 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408810.808 * * [misc]simplify: iters left: 6 (14 enodes) 1538408810.814 * * [misc]simplify: iters left: 5 (22 enodes) 1538408810.821 * * [misc]simplify: iters left: 4 (27 enodes) 1538408810.830 * * [misc]simplify: iters left: 3 (31 enodes) 1538408810.840 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408810.840 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408810.840 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408810.842 * * [misc]simplify: iters left: 6 (15 enodes) 1538408810.849 * * [misc]simplify: iters left: 5 (26 enodes) 1538408810.856 * * [misc]simplify: iters left: 4 (42 enodes) 1538408810.869 * * [misc]simplify: iters left: 3 (78 enodes) 1538408810.897 * * [misc]simplify: iters left: 2 (126 enodes) 1538408810.933 * * [misc]simplify: iters left: 1 (179 enodes) 1538408811.000 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408811.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408811.001 * * * * [misc]progress: [ 47 / 302 ] simplifiying candidate # 1538408811.001 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408811.002 * * [misc]simplify: iters left: 6 (15 enodes) 1538408811.005 * * [misc]simplify: iters left: 5 (23 enodes) 1538408811.010 * * [misc]simplify: iters left: 4 (31 enodes) 1538408811.015 * * [misc]simplify: iters left: 3 (35 enodes) 1538408811.021 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408811.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408811.021 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408811.022 * * [misc]simplify: iters left: 6 (15 enodes) 1538408811.027 * * [misc]simplify: iters left: 5 (26 enodes) 1538408811.038 * * [misc]simplify: iters left: 4 (43 enodes) 1538408811.057 * * [misc]simplify: iters left: 3 (79 enodes) 1538408811.090 * * [misc]simplify: iters left: 2 (127 enodes) 1538408811.137 * * [misc]simplify: iters left: 1 (180 enodes) 1538408811.185 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408811.185 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408811.185 * * * * [misc]progress: [ 48 / 302 ] simplifiying candidate # 1538408811.185 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408811.187 * * [misc]simplify: iters left: 6 (18 enodes) 1538408811.195 * * [misc]simplify: iters left: 5 (29 enodes) 1538408811.206 * * [misc]simplify: iters left: 4 (39 enodes) 1538408811.220 * * [misc]simplify: iters left: 3 (50 enodes) 1538408811.236 * * [misc]simplify: iters left: 2 (58 enodes) 1538408811.252 * * [misc]simplify: iters left: 1 (60 enodes) 1538408811.279 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408811.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408811.279 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408811.281 * * [misc]simplify: iters left: 6 (18 enodes) 1538408811.290 * * [misc]simplify: iters left: 5 (30 enodes) 1538408811.297 * * [misc]simplify: iters left: 4 (47 enodes) 1538408811.309 * * [misc]simplify: iters left: 3 (83 enodes) 1538408811.329 * * [misc]simplify: iters left: 2 (131 enodes) 1538408811.370 * * [misc]simplify: iters left: 1 (184 enodes) 1538408811.441 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408811.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408811.441 * * * * [misc]progress: [ 49 / 302 ] simplifiying candidate # 1538408811.442 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408811.444 * * [misc]simplify: iters left: 6 (17 enodes) 1538408811.451 * * [misc]simplify: iters left: 5 (26 enodes) 1538408811.460 * * [misc]simplify: iters left: 4 (34 enodes) 1538408811.470 * * [misc]simplify: iters left: 3 (38 enodes) 1538408811.481 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408811.481 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408811.482 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408811.483 * * [misc]simplify: iters left: 6 (18 enodes) 1538408811.487 * * [misc]simplify: iters left: 5 (30 enodes) 1538408811.493 * * [misc]simplify: iters left: 4 (47 enodes) 1538408811.503 * * [misc]simplify: iters left: 3 (83 enodes) 1538408811.533 * * [misc]simplify: iters left: 2 (131 enodes) 1538408811.562 * * [misc]simplify: iters left: 1 (184 enodes) 1538408811.616 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408811.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408811.616 * * * * [misc]progress: [ 50 / 302 ] simplifiying candidate # 1538408811.616 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1538408811.617 * * [misc]simplify: iters left: 6 (11 enodes) 1538408811.620 * * [misc]simplify: iters left: 5 (19 enodes) 1538408811.624 * * [misc]simplify: iters left: 4 (28 enodes) 1538408811.629 * * [misc]simplify: iters left: 3 (32 enodes) 1538408811.637 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538408811.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408811.637 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408811.639 * * [misc]simplify: iters left: 6 (17 enodes) 1538408811.647 * * [misc]simplify: iters left: 5 (29 enodes) 1538408811.657 * * [misc]simplify: iters left: 4 (46 enodes) 1538408811.667 * * [misc]simplify: iters left: 3 (82 enodes) 1538408811.683 * * [misc]simplify: iters left: 2 (130 enodes) 1538408811.722 * * [misc]simplify: iters left: 1 (183 enodes) 1538408811.805 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538408811.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538408811.805 * * * * [misc]progress: [ 51 / 302 ] simplifiying candidate # 1538408811.805 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538408811.806 * * [misc]simplify: iters left: 6 (12 enodes) 1538408811.812 * * [misc]simplify: iters left: 5 (22 enodes) 1538408811.819 * * [misc]simplify: iters left: 4 (26 enodes) 1538408811.829 * * [misc]simplify: iters left: 3 (37 enodes) 1538408811.844 * * [misc]simplify: iters left: 2 (42 enodes) 1538408811.850 * * [misc]simplify: iters left: 1 (51 enodes) 1538408811.859 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408811.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408811.859 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408811.860 * * [misc]simplify: iters left: 6 (14 enodes) 1538408811.864 * * [misc]simplify: iters left: 5 (25 enodes) 1538408811.869 * * [misc]simplify: iters left: 4 (41 enodes) 1538408811.879 * * [misc]simplify: iters left: 3 (77 enodes) 1538408811.909 * * [misc]simplify: iters left: 2 (125 enodes) 1538408811.950 * * [misc]simplify: iters left: 1 (178 enodes) 1538408812.003 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408812.003 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408812.004 * * * * [misc]progress: [ 52 / 302 ] simplifiying candidate # 1538408812.004 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538408812.005 * * [misc]simplify: iters left: 6 (12 enodes) 1538408812.008 * * [misc]simplify: iters left: 5 (22 enodes) 1538408812.012 * * [misc]simplify: iters left: 4 (26 enodes) 1538408812.018 * * [misc]simplify: iters left: 3 (37 enodes) 1538408812.029 * * [misc]simplify: iters left: 2 (42 enodes) 1538408812.044 * * [misc]simplify: iters left: 1 (51 enodes) 1538408812.053 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408812.053 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408812.053 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408812.054 * * [misc]simplify: iters left: 6 (14 enodes) 1538408812.057 * * [misc]simplify: iters left: 5 (25 enodes) 1538408812.063 * * [misc]simplify: iters left: 4 (41 enodes) 1538408812.072 * * [misc]simplify: iters left: 3 (77 enodes) 1538408812.097 * * [misc]simplify: iters left: 2 (125 enodes) 1538408812.127 * * [misc]simplify: iters left: 1 (178 enodes) 1538408812.172 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408812.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408812.172 * * * * [misc]progress: [ 53 / 302 ] simplifiying candidate # 1538408812.173 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408812.173 * * [misc]simplify: iters left: 6 (14 enodes) 1538408812.176 * * [misc]simplify: iters left: 5 (24 enodes) 1538408812.181 * * [misc]simplify: iters left: 4 (31 enodes) 1538408812.187 * * [misc]simplify: iters left: 3 (42 enodes) 1538408812.193 * * [misc]simplify: iters left: 2 (47 enodes) 1538408812.200 * * [misc]simplify: iters left: 1 (57 enodes) 1538408812.220 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538408812.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408812.220 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408812.221 * * [misc]simplify: iters left: 6 (14 enodes) 1538408812.227 * * [misc]simplify: iters left: 5 (25 enodes) 1538408812.236 * * [misc]simplify: iters left: 4 (42 enodes) 1538408812.253 * * [misc]simplify: iters left: 3 (78 enodes) 1538408812.282 * * [misc]simplify: iters left: 2 (126 enodes) 1538408812.327 * * [misc]simplify: iters left: 1 (179 enodes) 1538408812.380 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1538408812.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1538408812.380 * * * * [misc]progress: [ 54 / 302 ] simplifiying candidate # 1538408812.380 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408812.381 * * [misc]simplify: iters left: 6 (17 enodes) 1538408812.386 * * [misc]simplify: iters left: 5 (30 enodes) 1538408812.394 * * [misc]simplify: iters left: 4 (39 enodes) 1538408812.402 * * [misc]simplify: iters left: 3 (56 enodes) 1538408812.413 * * [misc]simplify: iters left: 2 (73 enodes) 1538408812.442 * * [misc]simplify: iters left: 1 (94 enodes) 1538408812.474 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1538408812.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408812.474 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408812.476 * * [misc]simplify: iters left: 6 (17 enodes) 1538408812.480 * * [misc]simplify: iters left: 5 (29 enodes) 1538408812.487 * * [misc]simplify: iters left: 4 (46 enodes) 1538408812.498 * * [misc]simplify: iters left: 3 (82 enodes) 1538408812.526 * * [misc]simplify: iters left: 2 (130 enodes) 1538408812.573 * * [misc]simplify: iters left: 1 (183 enodes) 1538408812.645 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408812.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408812.645 * * * * [misc]progress: [ 55 / 302 ] simplifiying candidate # 1538408812.645 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408812.647 * * [misc]simplify: iters left: 6 (16 enodes) 1538408812.657 * * [misc]simplify: iters left: 5 (27 enodes) 1538408812.666 * * [misc]simplify: iters left: 4 (34 enodes) 1538408812.677 * * [misc]simplify: iters left: 3 (45 enodes) 1538408812.689 * * [misc]simplify: iters left: 2 (50 enodes) 1538408812.704 * * [misc]simplify: iters left: 1 (60 enodes) 1538408812.721 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408812.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408812.721 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408812.722 * * [misc]simplify: iters left: 6 (17 enodes) 1538408812.726 * * [misc]simplify: iters left: 5 (29 enodes) 1538408812.732 * * [misc]simplify: iters left: 4 (46 enodes) 1538408812.742 * * [misc]simplify: iters left: 3 (82 enodes) 1538408812.761 * * [misc]simplify: iters left: 2 (130 enodes) 1538408812.806 * * [misc]simplify: iters left: 1 (183 enodes) 1538408812.894 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408812.894 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408812.894 * * * * [misc]progress: [ 56 / 302 ] simplifiying candidate # 1538408812.894 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1538408812.895 * * [misc]simplify: iters left: 6 (8 enodes) 1538408812.899 * * [misc]simplify: iters left: 5 (14 enodes) 1538408812.903 * * [misc]simplify: iters left: 4 (16 enodes) 1538408812.908 * * [misc]simplify: iters left: 3 (18 enodes) 1538408812.910 * [exit]simplify: Simplified to (sqrt PI) 1538408812.910 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408812.910 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408812.911 * * [misc]simplify: iters left: 6 (16 enodes) 1538408812.916 * * [misc]simplify: iters left: 5 (28 enodes) 1538408812.922 * * [misc]simplify: iters left: 4 (45 enodes) 1538408812.934 * * [misc]simplify: iters left: 3 (81 enodes) 1538408812.960 * * [misc]simplify: iters left: 2 (129 enodes) 1538408813.005 * * [misc]simplify: iters left: 1 (181 enodes) 1538408813.078 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408813.078 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408813.078 * * * * [misc]progress: [ 57 / 302 ] simplifiying candidate # 1538408813.079 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1538408813.079 * * [misc]simplify: iters left: 6 (7 enodes) 1538408813.082 * * [misc]simplify: iters left: 5 (13 enodes) 1538408813.088 * * [misc]simplify: iters left: 4 (19 enodes) 1538408813.092 * [exit]simplify: Simplified to (sqrt PI) 1538408813.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408813.092 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408813.094 * * [misc]simplify: iters left: 6 (16 enodes) 1538408813.100 * * [misc]simplify: iters left: 5 (28 enodes) 1538408813.110 * * [misc]simplify: iters left: 4 (45 enodes) 1538408813.130 * * [misc]simplify: iters left: 3 (81 enodes) 1538408813.156 * * [misc]simplify: iters left: 2 (129 enodes) 1538408813.197 * * [misc]simplify: iters left: 1 (181 enodes) 1538408813.261 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408813.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408813.261 * * * * [misc]progress: [ 58 / 302 ] simplifiying candidate # 1538408813.261 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1538408813.262 * * [misc]simplify: iters left: 6 (8 enodes) 1538408813.265 * * [misc]simplify: iters left: 5 (12 enodes) 1538408813.268 * * [misc]simplify: iters left: 4 (14 enodes) 1538408813.272 * * [misc]simplify: iters left: 3 (16 enodes) 1538408813.277 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538408813.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408813.277 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408813.279 * * [misc]simplify: iters left: 6 (16 enodes) 1538408813.288 * * [misc]simplify: iters left: 5 (30 enodes) 1538408813.300 * * [misc]simplify: iters left: 4 (45 enodes) 1538408813.321 * * [misc]simplify: iters left: 3 (88 enodes) 1538408813.353 * * [misc]simplify: iters left: 2 (130 enodes) 1538408813.405 * * [misc]simplify: iters left: 1 (185 enodes) 1538408813.480 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1538408813.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1538408813.480 * * * * [misc]progress: [ 59 / 302 ] simplifiying candidate # 1538408813.481 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408813.481 * * [misc]simplify: iters left: 6 (13 enodes) 1538408813.484 * * [misc]simplify: iters left: 5 (21 enodes) 1538408813.488 * * [misc]simplify: iters left: 4 (26 enodes) 1538408813.494 * * [misc]simplify: iters left: 3 (30 enodes) 1538408813.500 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1538408813.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538408813.500 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1538408813.501 * * [misc]simplify: iters left: 6 (12 enodes) 1538408813.504 * * [misc]simplify: iters left: 5 (21 enodes) 1538408813.509 * * [misc]simplify: iters left: 4 (34 enodes) 1538408813.523 * * [misc]simplify: iters left: 3 (64 enodes) 1538408813.543 * * [misc]simplify: iters left: 2 (86 enodes) 1538408813.557 * * [misc]simplify: iters left: 1 (94 enodes) 1538408813.571 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538408813.571 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538408813.571 * * * * [misc]progress: [ 60 / 302 ] simplifiying candidate # 1538408813.572 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408813.573 * * [misc]simplify: iters left: 6 (17 enodes) 1538408813.579 * * [misc]simplify: iters left: 5 (25 enodes) 1538408813.589 * * [misc]simplify: iters left: 4 (29 enodes) 1538408813.605 * * [misc]simplify: iters left: 3 (32 enodes) 1538408813.615 * * [misc]simplify: iters left: 2 (33 enodes) 1538408813.627 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408813.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408813.627 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408813.629 * * [misc]simplify: iters left: 6 (17 enodes) 1538408813.636 * * [misc]simplify: iters left: 5 (26 enodes) 1538408813.646 * * [misc]simplify: iters left: 4 (45 enodes) 1538408813.665 * * [misc]simplify: iters left: 3 (74 enodes) 1538408813.687 * * [misc]simplify: iters left: 2 (90 enodes) 1538408813.709 * * [misc]simplify: iters left: 1 (100 enodes) 1538408813.738 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408813.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408813.738 * * * * [misc]progress: [ 61 / 302 ] simplifiying candidate # 1538408813.738 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408813.739 * * [misc]simplify: iters left: 6 (16 enodes) 1538408813.743 * * [misc]simplify: iters left: 5 (22 enodes) 1538408813.747 * * [misc]simplify: iters left: 4 (26 enodes) 1538408813.752 * * [misc]simplify: iters left: 3 (29 enodes) 1538408813.757 * * [misc]simplify: iters left: 2 (30 enodes) 1538408813.762 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408813.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408813.763 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408813.764 * * [misc]simplify: iters left: 6 (17 enodes) 1538408813.768 * * [misc]simplify: iters left: 5 (26 enodes) 1538408813.774 * * [misc]simplify: iters left: 4 (45 enodes) 1538408813.788 * * [misc]simplify: iters left: 3 (74 enodes) 1538408813.809 * * [misc]simplify: iters left: 2 (90 enodes) 1538408813.831 * * [misc]simplify: iters left: 1 (100 enodes) 1538408813.849 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408813.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408813.849 * * * * [misc]progress: [ 62 / 302 ] simplifiying candidate # 1538408813.849 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408813.850 * * [misc]simplify: iters left: 6 (15 enodes) 1538408813.854 * * [misc]simplify: iters left: 5 (24 enodes) 1538408813.859 * * [misc]simplify: iters left: 4 (32 enodes) 1538408813.872 * * [misc]simplify: iters left: 3 (47 enodes) 1538408813.887 * * [misc]simplify: iters left: 2 (53 enodes) 1538408813.895 * * [misc]simplify: iters left: 1 (60 enodes) 1538408813.906 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538408813.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408813.906 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408813.907 * * [misc]simplify: iters left: 6 (15 enodes) 1538408813.910 * * [misc]simplify: iters left: 5 (25 enodes) 1538408813.917 * * [misc]simplify: iters left: 4 (46 enodes) 1538408813.933 * * [misc]simplify: iters left: 3 (81 enodes) 1538408813.948 * * [misc]simplify: iters left: 2 (123 enodes) 1538408813.988 * * [misc]simplify: iters left: 1 (177 enodes) 1538408814.071 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408814.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408814.071 * * * * [misc]progress: [ 63 / 302 ] simplifiying candidate # 1538408814.071 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408814.073 * * [misc]simplify: iters left: 6 (15 enodes) 1538408814.080 * * [misc]simplify: iters left: 5 (24 enodes) 1538408814.089 * * [misc]simplify: iters left: 4 (32 enodes) 1538408814.096 * * [misc]simplify: iters left: 3 (47 enodes) 1538408814.104 * * [misc]simplify: iters left: 2 (53 enodes) 1538408814.112 * * [misc]simplify: iters left: 1 (60 enodes) 1538408814.132 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538408814.132 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408814.132 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408814.134 * * [misc]simplify: iters left: 6 (15 enodes) 1538408814.141 * * [misc]simplify: iters left: 5 (25 enodes) 1538408814.155 * * [misc]simplify: iters left: 4 (46 enodes) 1538408814.174 * * [misc]simplify: iters left: 3 (81 enodes) 1538408814.202 * * [misc]simplify: iters left: 2 (123 enodes) 1538408814.249 * * [misc]simplify: iters left: 1 (177 enodes) 1538408814.313 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408814.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408814.313 * * * * [misc]progress: [ 64 / 302 ] simplifiying candidate # 1538408814.313 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408814.315 * * [misc]simplify: iters left: 6 (16 enodes) 1538408814.323 * * [misc]simplify: iters left: 5 (25 enodes) 1538408814.334 * * [misc]simplify: iters left: 4 (36 enodes) 1538408814.349 * * [misc]simplify: iters left: 3 (51 enodes) 1538408814.365 * * [misc]simplify: iters left: 2 (57 enodes) 1538408814.381 * * [misc]simplify: iters left: 1 (64 enodes) 1538408814.405 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1538408814.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408814.406 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408814.411 * * [misc]simplify: iters left: 6 (15 enodes) 1538408814.417 * * [misc]simplify: iters left: 5 (25 enodes) 1538408814.428 * * [misc]simplify: iters left: 4 (47 enodes) 1538408814.449 * * [misc]simplify: iters left: 3 (82 enodes) 1538408814.477 * * [misc]simplify: iters left: 2 (124 enodes) 1538408814.521 * * [misc]simplify: iters left: 1 (178 enodes) 1538408814.605 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408814.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408814.605 * * * * [misc]progress: [ 65 / 302 ] simplifiying candidate # 1538408814.605 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408814.608 * * [misc]simplify: iters left: 6 (19 enodes) 1538408814.617 * * [misc]simplify: iters left: 5 (33 enodes) 1538408814.632 * * [misc]simplify: iters left: 4 (55 enodes) 1538408814.655 * * [misc]simplify: iters left: 3 (83 enodes) 1538408814.685 * * [misc]simplify: iters left: 2 (118 enodes) 1538408814.707 * * [misc]simplify: iters left: 1 (141 enodes) 1538408814.746 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1538408814.746 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408814.750 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408814.752 * * [misc]simplify: iters left: 6 (18 enodes) 1538408814.760 * * [misc]simplify: iters left: 5 (29 enodes) 1538408814.772 * * [misc]simplify: iters left: 4 (51 enodes) 1538408814.793 * * [misc]simplify: iters left: 3 (86 enodes) 1538408814.822 * * [misc]simplify: iters left: 2 (128 enodes) 1538408814.855 * * [misc]simplify: iters left: 1 (183 enodes) 1538408814.934 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408814.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408814.934 * * * * [misc]progress: [ 66 / 302 ] simplifiying candidate # 1538408814.934 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408814.936 * * [misc]simplify: iters left: 6 (18 enodes) 1538408814.945 * * [misc]simplify: iters left: 5 (28 enodes) 1538408814.957 * * [misc]simplify: iters left: 4 (39 enodes) 1538408814.973 * * [misc]simplify: iters left: 3 (54 enodes) 1538408814.990 * * [misc]simplify: iters left: 2 (60 enodes) 1538408815.012 * * [misc]simplify: iters left: 1 (67 enodes) 1538408815.026 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1538408815.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408815.026 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408815.027 * * [misc]simplify: iters left: 6 (18 enodes) 1538408815.032 * * [misc]simplify: iters left: 5 (29 enodes) 1538408815.044 * * [misc]simplify: iters left: 4 (51 enodes) 1538408815.065 * * [misc]simplify: iters left: 3 (86 enodes) 1538408815.081 * * [misc]simplify: iters left: 2 (128 enodes) 1538408815.108 * * [misc]simplify: iters left: 1 (183 enodes) 1538408815.186 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408815.186 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408815.186 * * * * [misc]progress: [ 67 / 302 ] simplifiying candidate # 1538408815.186 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408815.188 * * [misc]simplify: iters left: 6 (12 enodes) 1538408815.194 * * [misc]simplify: iters left: 5 (21 enodes) 1538408815.202 * * [misc]simplify: iters left: 4 (33 enodes) 1538408815.221 * * [misc]simplify: iters left: 3 (56 enodes) 1538408815.237 * * [misc]simplify: iters left: 2 (119 enodes) 1538408815.276 * * [misc]simplify: iters left: 1 (173 enodes) 1538408815.294 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538408815.294 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408815.294 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408815.300 * * [misc]simplify: iters left: 6 (17 enodes) 1538408815.307 * * [misc]simplify: iters left: 5 (28 enodes) 1538408815.318 * * [misc]simplify: iters left: 4 (50 enodes) 1538408815.337 * * [misc]simplify: iters left: 3 (85 enodes) 1538408815.363 * * [misc]simplify: iters left: 2 (127 enodes) 1538408815.386 * * [misc]simplify: iters left: 1 (181 enodes) 1538408815.454 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408815.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408815.454 * * * * [misc]progress: [ 68 / 302 ] simplifiying candidate # 1538408815.454 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408815.455 * * [misc]simplify: iters left: 6 (14 enodes) 1538408815.459 * * [misc]simplify: iters left: 5 (21 enodes) 1538408815.463 * * [misc]simplify: iters left: 4 (25 enodes) 1538408815.468 * * [misc]simplify: iters left: 3 (30 enodes) 1538408815.473 * * [misc]simplify: iters left: 2 (31 enodes) 1538408815.480 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408815.480 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408815.481 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408815.482 * * [misc]simplify: iters left: 6 (15 enodes) 1538408815.489 * * [misc]simplify: iters left: 5 (25 enodes) 1538408815.500 * * [misc]simplify: iters left: 4 (46 enodes) 1538408815.515 * * [misc]simplify: iters left: 3 (81 enodes) 1538408815.531 * * [misc]simplify: iters left: 2 (123 enodes) 1538408815.554 * * [misc]simplify: iters left: 1 (177 enodes) 1538408815.613 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408815.613 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408815.613 * * * * [misc]progress: [ 69 / 302 ] simplifiying candidate # 1538408815.613 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408815.614 * * [misc]simplify: iters left: 6 (14 enodes) 1538408815.618 * * [misc]simplify: iters left: 5 (21 enodes) 1538408815.622 * * [misc]simplify: iters left: 4 (25 enodes) 1538408815.627 * * [misc]simplify: iters left: 3 (30 enodes) 1538408815.632 * * [misc]simplify: iters left: 2 (31 enodes) 1538408815.638 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408815.638 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408815.638 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408815.639 * * [misc]simplify: iters left: 6 (15 enodes) 1538408815.645 * * [misc]simplify: iters left: 5 (25 enodes) 1538408815.656 * * [misc]simplify: iters left: 4 (46 enodes) 1538408815.675 * * [misc]simplify: iters left: 3 (81 enodes) 1538408815.713 * * [misc]simplify: iters left: 2 (123 enodes) 1538408815.756 * * [misc]simplify: iters left: 1 (177 enodes) 1538408815.832 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408815.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408815.832 * * * * [misc]progress: [ 70 / 302 ] simplifiying candidate # 1538408815.836 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408815.838 * * [misc]simplify: iters left: 6 (15 enodes) 1538408815.845 * * [misc]simplify: iters left: 5 (22 enodes) 1538408815.854 * * [misc]simplify: iters left: 4 (29 enodes) 1538408815.864 * * [misc]simplify: iters left: 3 (34 enodes) 1538408815.874 * * [misc]simplify: iters left: 2 (35 enodes) 1538408815.885 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408815.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408815.886 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408815.887 * * [misc]simplify: iters left: 6 (15 enodes) 1538408815.894 * * [misc]simplify: iters left: 5 (25 enodes) 1538408815.905 * * [misc]simplify: iters left: 4 (47 enodes) 1538408815.924 * * [misc]simplify: iters left: 3 (82 enodes) 1538408815.952 * * [misc]simplify: iters left: 2 (124 enodes) 1538408816.000 * * [misc]simplify: iters left: 1 (178 enodes) 1538408816.081 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408816.081 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408816.081 * * * * [misc]progress: [ 71 / 302 ] simplifiying candidate # 1538408816.081 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408816.083 * * [misc]simplify: iters left: 6 (18 enodes) 1538408816.092 * * [misc]simplify: iters left: 5 (28 enodes) 1538408816.103 * * [misc]simplify: iters left: 4 (37 enodes) 1538408816.120 * * [misc]simplify: iters left: 3 (49 enodes) 1538408816.137 * * [misc]simplify: iters left: 2 (58 enodes) 1538408816.153 * * [misc]simplify: iters left: 1 (60 enodes) 1538408816.178 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1538408816.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408816.179 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408816.181 * * [misc]simplify: iters left: 6 (18 enodes) 1538408816.189 * * [misc]simplify: iters left: 5 (29 enodes) 1538408816.201 * * [misc]simplify: iters left: 4 (51 enodes) 1538408816.223 * * [misc]simplify: iters left: 3 (86 enodes) 1538408816.242 * * [misc]simplify: iters left: 2 (128 enodes) 1538408816.278 * * [misc]simplify: iters left: 1 (183 enodes) 1538408816.365 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408816.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408816.365 * * * * [misc]progress: [ 72 / 302 ] simplifiying candidate # 1538408816.365 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408816.367 * * [misc]simplify: iters left: 6 (17 enodes) 1538408816.374 * * [misc]simplify: iters left: 5 (25 enodes) 1538408816.382 * * [misc]simplify: iters left: 4 (32 enodes) 1538408816.387 * * [misc]simplify: iters left: 3 (37 enodes) 1538408816.393 * * [misc]simplify: iters left: 2 (38 enodes) 1538408816.400 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408816.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408816.400 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408816.401 * * [misc]simplify: iters left: 6 (18 enodes) 1538408816.405 * * [misc]simplify: iters left: 5 (29 enodes) 1538408816.412 * * [misc]simplify: iters left: 4 (51 enodes) 1538408816.422 * * [misc]simplify: iters left: 3 (86 enodes) 1538408816.443 * * [misc]simplify: iters left: 2 (128 enodes) 1538408816.471 * * [misc]simplify: iters left: 1 (183 enodes) 1538408816.514 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408816.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408816.514 * * * * [misc]progress: [ 73 / 302 ] simplifiying candidate # 1538408816.514 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1538408816.515 * * [misc]simplify: iters left: 6 (11 enodes) 1538408816.520 * * [misc]simplify: iters left: 5 (18 enodes) 1538408816.524 * * [misc]simplify: iters left: 4 (26 enodes) 1538408816.529 * * [misc]simplify: iters left: 3 (31 enodes) 1538408816.533 * * [misc]simplify: iters left: 2 (32 enodes) 1538408816.537 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538408816.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408816.537 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408816.538 * * [misc]simplify: iters left: 6 (17 enodes) 1538408816.542 * * [misc]simplify: iters left: 5 (28 enodes) 1538408816.549 * * [misc]simplify: iters left: 4 (50 enodes) 1538408816.567 * * [misc]simplify: iters left: 3 (85 enodes) 1538408816.595 * * [misc]simplify: iters left: 2 (127 enodes) 1538408816.645 * * [misc]simplify: iters left: 1 (181 enodes) 1538408816.688 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408816.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408816.688 * * * * [misc]progress: [ 74 / 302 ] simplifiying candidate # 1538408816.688 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538408816.689 * * [misc]simplify: iters left: 6 (12 enodes) 1538408816.692 * * [misc]simplify: iters left: 5 (21 enodes) 1538408816.696 * * [misc]simplify: iters left: 4 (24 enodes) 1538408816.702 * * [misc]simplify: iters left: 3 (36 enodes) 1538408816.718 * * [misc]simplify: iters left: 2 (42 enodes) 1538408816.731 * * [misc]simplify: iters left: 1 (51 enodes) 1538408816.747 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408816.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408816.747 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408816.748 * * [misc]simplify: iters left: 6 (14 enodes) 1538408816.755 * * [misc]simplify: iters left: 5 (24 enodes) 1538408816.766 * * [misc]simplify: iters left: 4 (45 enodes) 1538408816.785 * * [misc]simplify: iters left: 3 (80 enodes) 1538408816.802 * * [misc]simplify: iters left: 2 (122 enodes) 1538408816.829 * * [misc]simplify: iters left: 1 (177 enodes) 1538408816.871 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538408816.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538408816.871 * * * * [misc]progress: [ 75 / 302 ] simplifiying candidate # 1538408816.871 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538408816.872 * * [misc]simplify: iters left: 6 (12 enodes) 1538408816.875 * * [misc]simplify: iters left: 5 (21 enodes) 1538408816.879 * * [misc]simplify: iters left: 4 (24 enodes) 1538408816.884 * * [misc]simplify: iters left: 3 (36 enodes) 1538408816.890 * * [misc]simplify: iters left: 2 (42 enodes) 1538408816.899 * * [misc]simplify: iters left: 1 (51 enodes) 1538408816.907 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408816.907 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408816.907 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408816.908 * * [misc]simplify: iters left: 6 (14 enodes) 1538408816.911 * * [misc]simplify: iters left: 5 (24 enodes) 1538408816.917 * * [misc]simplify: iters left: 4 (45 enodes) 1538408816.927 * * [misc]simplify: iters left: 3 (80 enodes) 1538408816.942 * * [misc]simplify: iters left: 2 (122 enodes) 1538408816.966 * * [misc]simplify: iters left: 1 (177 enodes) 1538408817.011 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538408817.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538408817.011 * * * * [misc]progress: [ 76 / 302 ] simplifiying candidate # 1538408817.011 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408817.012 * * [misc]simplify: iters left: 6 (14 enodes) 1538408817.016 * * [misc]simplify: iters left: 5 (23 enodes) 1538408817.021 * * [misc]simplify: iters left: 4 (29 enodes) 1538408817.027 * * [misc]simplify: iters left: 3 (41 enodes) 1538408817.033 * * [misc]simplify: iters left: 2 (47 enodes) 1538408817.041 * * [misc]simplify: iters left: 1 (57 enodes) 1538408817.054 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538408817.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408817.054 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408817.055 * * [misc]simplify: iters left: 6 (14 enodes) 1538408817.058 * * [misc]simplify: iters left: 5 (24 enodes) 1538408817.064 * * [misc]simplify: iters left: 4 (46 enodes) 1538408817.074 * * [misc]simplify: iters left: 3 (81 enodes) 1538408817.101 * * [misc]simplify: iters left: 2 (123 enodes) 1538408817.145 * * [misc]simplify: iters left: 1 (178 enodes) 1538408817.201 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408817.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408817.202 * * * * [misc]progress: [ 77 / 302 ] simplifiying candidate # 1538408817.202 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408817.203 * * [misc]simplify: iters left: 6 (17 enodes) 1538408817.212 * * [misc]simplify: iters left: 5 (29 enodes) 1538408817.219 * * [misc]simplify: iters left: 4 (37 enodes) 1538408817.227 * * [misc]simplify: iters left: 3 (55 enodes) 1538408817.238 * * [misc]simplify: iters left: 2 (74 enodes) 1538408817.255 * * [misc]simplify: iters left: 1 (95 enodes) 1538408817.281 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1538408817.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408817.281 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408817.282 * * [misc]simplify: iters left: 6 (17 enodes) 1538408817.288 * * [misc]simplify: iters left: 5 (28 enodes) 1538408817.300 * * [misc]simplify: iters left: 4 (50 enodes) 1538408817.320 * * [misc]simplify: iters left: 3 (85 enodes) 1538408817.348 * * [misc]simplify: iters left: 2 (127 enodes) 1538408817.391 * * [misc]simplify: iters left: 1 (181 enodes) 1538408817.435 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408817.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408817.435 * * * * [misc]progress: [ 78 / 302 ] simplifiying candidate # 1538408817.436 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408817.441 * * [misc]simplify: iters left: 6 (16 enodes) 1538408817.449 * * [misc]simplify: iters left: 5 (26 enodes) 1538408817.457 * * [misc]simplify: iters left: 4 (32 enodes) 1538408817.464 * * [misc]simplify: iters left: 3 (44 enodes) 1538408817.471 * * [misc]simplify: iters left: 2 (50 enodes) 1538408817.479 * * [misc]simplify: iters left: 1 (60 enodes) 1538408817.495 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408817.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408817.495 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408817.497 * * [misc]simplify: iters left: 6 (17 enodes) 1538408817.504 * * [misc]simplify: iters left: 5 (28 enodes) 1538408817.515 * * [misc]simplify: iters left: 4 (50 enodes) 1538408817.535 * * [misc]simplify: iters left: 3 (85 enodes) 1538408817.554 * * [misc]simplify: iters left: 2 (127 enodes) 1538408817.577 * * [misc]simplify: iters left: 1 (181 enodes) 1538408817.634 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408817.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408817.634 * * * * [misc]progress: [ 79 / 302 ] simplifiying candidate # 1538408817.635 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1538408817.635 * * [misc]simplify: iters left: 6 (8 enodes) 1538408817.638 * * [misc]simplify: iters left: 5 (13 enodes) 1538408817.640 * * [misc]simplify: iters left: 4 (14 enodes) 1538408817.643 * * [misc]simplify: iters left: 3 (17 enodes) 1538408817.646 * * [misc]simplify: iters left: 2 (18 enodes) 1538408817.649 * * [misc]simplify: iters left: 1 (20 enodes) 1538408817.652 * [exit]simplify: Simplified to (sqrt PI) 1538408817.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408817.652 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408817.653 * * [misc]simplify: iters left: 6 (16 enodes) 1538408817.657 * * [misc]simplify: iters left: 5 (27 enodes) 1538408817.663 * * [misc]simplify: iters left: 4 (49 enodes) 1538408817.673 * * [misc]simplify: iters left: 3 (84 enodes) 1538408817.689 * * [misc]simplify: iters left: 2 (126 enodes) 1538408817.715 * * [misc]simplify: iters left: 1 (181 enodes) 1538408817.797 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408817.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408817.797 * * * * [misc]progress: [ 80 / 302 ] simplifiying candidate # 1538408817.797 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1538408817.799 * * [misc]simplify: iters left: 6 (7 enodes) 1538408817.803 * * [misc]simplify: iters left: 5 (12 enodes) 1538408817.808 * * [misc]simplify: iters left: 4 (17 enodes) 1538408817.813 * * [misc]simplify: iters left: 3 (19 enodes) 1538408817.818 * [exit]simplify: Simplified to (sqrt PI) 1538408817.818 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408817.819 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408817.820 * * [misc]simplify: iters left: 6 (16 enodes) 1538408817.831 * * [misc]simplify: iters left: 5 (27 enodes) 1538408817.843 * * [misc]simplify: iters left: 4 (49 enodes) 1538408817.863 * * [misc]simplify: iters left: 3 (84 enodes) 1538408817.892 * * [misc]simplify: iters left: 2 (126 enodes) 1538408817.922 * * [misc]simplify: iters left: 1 (181 enodes) 1538408817.982 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408817.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408817.982 * * * * [misc]progress: [ 81 / 302 ] simplifiying candidate # 1538408817.982 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1538408817.983 * * [misc]simplify: iters left: 6 (8 enodes) 1538408817.985 * * [misc]simplify: iters left: 5 (11 enodes) 1538408817.987 * * [misc]simplify: iters left: 4 (12 enodes) 1538408817.990 * * [misc]simplify: iters left: 3 (15 enodes) 1538408817.994 * * [misc]simplify: iters left: 2 (16 enodes) 1538408817.999 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538408817.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408817.999 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408818.001 * * [misc]simplify: iters left: 6 (16 enodes) 1538408818.008 * * [misc]simplify: iters left: 5 (29 enodes) 1538408818.021 * * [misc]simplify: iters left: 4 (49 enodes) 1538408818.034 * * [misc]simplify: iters left: 3 (91 enodes) 1538408818.054 * * [misc]simplify: iters left: 2 (126 enodes) 1538408818.094 * * [misc]simplify: iters left: 1 (183 enodes) 1538408818.180 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1538408818.180 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1538408818.181 * * * * [misc]progress: [ 82 / 302 ] simplifiying candidate # 1538408818.181 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408818.182 * * [misc]simplify: iters left: 6 (13 enodes) 1538408818.186 * * [misc]simplify: iters left: 5 (20 enodes) 1538408818.190 * * [misc]simplify: iters left: 4 (24 enodes) 1538408818.195 * * [misc]simplify: iters left: 3 (29 enodes) 1538408818.199 * * [misc]simplify: iters left: 2 (30 enodes) 1538408818.204 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538408818.204 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1538408818.204 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1538408818.205 * * [misc]simplify: iters left: 6 (12 enodes) 1538408818.208 * * [misc]simplify: iters left: 5 (20 enodes) 1538408818.213 * * [misc]simplify: iters left: 4 (38 enodes) 1538408818.226 * * [misc]simplify: iters left: 3 (67 enodes) 1538408818.241 * * [misc]simplify: iters left: 2 (83 enodes) 1538408818.251 * * [misc]simplify: iters left: 1 (93 enodes) 1538408818.268 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538408818.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538408818.268 * * * * [misc]progress: [ 83 / 302 ] simplifiying candidate # 1538408818.268 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408818.270 * * [misc]simplify: iters left: 6 (17 enodes) 1538408818.278 * * [misc]simplify: iters left: 5 (25 enodes) 1538408818.283 * * [misc]simplify: iters left: 4 (29 enodes) 1538408818.289 * * [misc]simplify: iters left: 3 (32 enodes) 1538408818.294 * * [misc]simplify: iters left: 2 (33 enodes) 1538408818.300 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408818.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408818.300 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408818.301 * * [misc]simplify: iters left: 6 (17 enodes) 1538408818.305 * * [misc]simplify: iters left: 5 (26 enodes) 1538408818.311 * * [misc]simplify: iters left: 4 (45 enodes) 1538408818.321 * * [misc]simplify: iters left: 3 (74 enodes) 1538408818.342 * * [misc]simplify: iters left: 2 (90 enodes) 1538408818.359 * * [misc]simplify: iters left: 1 (100 enodes) 1538408818.377 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408818.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408818.377 * * * * [misc]progress: [ 84 / 302 ] simplifiying candidate # 1538408818.377 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408818.378 * * [misc]simplify: iters left: 6 (16 enodes) 1538408818.382 * * [misc]simplify: iters left: 5 (22 enodes) 1538408818.386 * * [misc]simplify: iters left: 4 (26 enodes) 1538408818.391 * * [misc]simplify: iters left: 3 (29 enodes) 1538408818.396 * * [misc]simplify: iters left: 2 (30 enodes) 1538408818.403 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408818.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408818.404 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408818.407 * * [misc]simplify: iters left: 6 (17 enodes) 1538408818.413 * * [misc]simplify: iters left: 5 (26 enodes) 1538408818.424 * * [misc]simplify: iters left: 4 (45 enodes) 1538408818.441 * * [misc]simplify: iters left: 3 (74 enodes) 1538408818.462 * * [misc]simplify: iters left: 2 (90 enodes) 1538408818.487 * * [misc]simplify: iters left: 1 (100 enodes) 1538408818.519 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408818.519 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408818.519 * * * * [misc]progress: [ 85 / 302 ] simplifiying candidate # 1538408818.520 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408818.521 * * [misc]simplify: iters left: 6 (15 enodes) 1538408818.528 * * [misc]simplify: iters left: 5 (24 enodes) 1538408818.537 * * [misc]simplify: iters left: 4 (32 enodes) 1538408818.550 * * [misc]simplify: iters left: 3 (47 enodes) 1538408818.567 * * [misc]simplify: iters left: 2 (53 enodes) 1538408818.582 * * [misc]simplify: iters left: 1 (60 enodes) 1538408818.608 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538408818.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408818.608 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408818.610 * * [misc]simplify: iters left: 6 (15 enodes) 1538408818.617 * * [misc]simplify: iters left: 5 (25 enodes) 1538408818.628 * * [misc]simplify: iters left: 4 (46 enodes) 1538408818.647 * * [misc]simplify: iters left: 3 (81 enodes) 1538408818.676 * * [misc]simplify: iters left: 2 (123 enodes) 1538408818.720 * * [misc]simplify: iters left: 1 (177 enodes) 1538408818.795 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408818.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408818.795 * * * * [misc]progress: [ 86 / 302 ] simplifiying candidate # 1538408818.795 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408818.797 * * [misc]simplify: iters left: 6 (15 enodes) 1538408818.804 * * [misc]simplify: iters left: 5 (24 enodes) 1538408818.813 * * [misc]simplify: iters left: 4 (32 enodes) 1538408818.826 * * [misc]simplify: iters left: 3 (47 enodes) 1538408818.841 * * [misc]simplify: iters left: 2 (53 enodes) 1538408818.856 * * [misc]simplify: iters left: 1 (60 enodes) 1538408818.870 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538408818.870 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408818.870 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408818.871 * * [misc]simplify: iters left: 6 (15 enodes) 1538408818.875 * * [misc]simplify: iters left: 5 (25 enodes) 1538408818.880 * * [misc]simplify: iters left: 4 (46 enodes) 1538408818.891 * * [misc]simplify: iters left: 3 (81 enodes) 1538408818.906 * * [misc]simplify: iters left: 2 (123 enodes) 1538408818.931 * * [misc]simplify: iters left: 1 (177 enodes) 1538408818.975 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408818.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408818.975 * * * * [misc]progress: [ 87 / 302 ] simplifiying candidate # 1538408818.975 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408818.976 * * [misc]simplify: iters left: 6 (16 enodes) 1538408818.980 * * [misc]simplify: iters left: 5 (25 enodes) 1538408818.986 * * [misc]simplify: iters left: 4 (36 enodes) 1538408818.993 * * [misc]simplify: iters left: 3 (51 enodes) 1538408819.002 * * [misc]simplify: iters left: 2 (57 enodes) 1538408819.010 * * [misc]simplify: iters left: 1 (64 enodes) 1538408819.031 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1538408819.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408819.031 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408819.033 * * [misc]simplify: iters left: 6 (15 enodes) 1538408819.040 * * [misc]simplify: iters left: 5 (25 enodes) 1538408819.051 * * [misc]simplify: iters left: 4 (47 enodes) 1538408819.063 * * [misc]simplify: iters left: 3 (82 enodes) 1538408819.079 * * [misc]simplify: iters left: 2 (124 enodes) 1538408819.103 * * [misc]simplify: iters left: 1 (178 enodes) 1538408819.161 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408819.161 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408819.161 * * * * [misc]progress: [ 88 / 302 ] simplifiying candidate # 1538408819.161 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408819.163 * * [misc]simplify: iters left: 6 (19 enodes) 1538408819.170 * * [misc]simplify: iters left: 5 (33 enodes) 1538408819.180 * * [misc]simplify: iters left: 4 (55 enodes) 1538408819.192 * * [misc]simplify: iters left: 3 (83 enodes) 1538408819.215 * * [misc]simplify: iters left: 2 (118 enodes) 1538408819.259 * * [misc]simplify: iters left: 1 (141 enodes) 1538408819.312 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1538408819.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408819.312 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408819.314 * * [misc]simplify: iters left: 6 (18 enodes) 1538408819.318 * * [misc]simplify: iters left: 5 (29 enodes) 1538408819.325 * * [misc]simplify: iters left: 4 (51 enodes) 1538408819.336 * * [misc]simplify: iters left: 3 (86 enodes) 1538408819.352 * * [misc]simplify: iters left: 2 (128 enodes) 1538408819.392 * * [misc]simplify: iters left: 1 (183 enodes) 1538408819.452 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408819.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408819.452 * * * * [misc]progress: [ 89 / 302 ] simplifiying candidate # 1538408819.452 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408819.454 * * [misc]simplify: iters left: 6 (18 enodes) 1538408819.458 * * [misc]simplify: iters left: 5 (28 enodes) 1538408819.464 * * [misc]simplify: iters left: 4 (39 enodes) 1538408819.473 * * [misc]simplify: iters left: 3 (54 enodes) 1538408819.482 * * [misc]simplify: iters left: 2 (60 enodes) 1538408819.494 * * [misc]simplify: iters left: 1 (67 enodes) 1538408819.507 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1538408819.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408819.507 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408819.508 * * [misc]simplify: iters left: 6 (18 enodes) 1538408819.513 * * [misc]simplify: iters left: 5 (29 enodes) 1538408819.523 * * [misc]simplify: iters left: 4 (51 enodes) 1538408819.534 * * [misc]simplify: iters left: 3 (86 enodes) 1538408819.552 * * [misc]simplify: iters left: 2 (128 enodes) 1538408819.603 * * [misc]simplify: iters left: 1 (183 enodes) 1538408819.684 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408819.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408819.684 * * * * [misc]progress: [ 90 / 302 ] simplifiying candidate # 1538408819.685 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408819.686 * * [misc]simplify: iters left: 6 (12 enodes) 1538408819.692 * * [misc]simplify: iters left: 5 (21 enodes) 1538408819.702 * * [misc]simplify: iters left: 4 (33 enodes) 1538408819.719 * * [misc]simplify: iters left: 3 (56 enodes) 1538408819.747 * * [misc]simplify: iters left: 2 (119 enodes) 1538408819.809 * * [misc]simplify: iters left: 1 (173 enodes) 1538408819.845 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538408819.845 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408819.846 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408819.851 * * [misc]simplify: iters left: 6 (17 enodes) 1538408819.858 * * [misc]simplify: iters left: 5 (28 enodes) 1538408819.870 * * [misc]simplify: iters left: 4 (50 enodes) 1538408819.891 * * [misc]simplify: iters left: 3 (85 enodes) 1538408819.919 * * [misc]simplify: iters left: 2 (127 enodes) 1538408819.951 * * [misc]simplify: iters left: 1 (181 enodes) 1538408820.001 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538408820.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538408820.001 * * * * [misc]progress: [ 91 / 302 ] simplifiying candidate # 1538408820.002 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408820.003 * * [misc]simplify: iters left: 6 (14 enodes) 1538408820.006 * * [misc]simplify: iters left: 5 (21 enodes) 1538408820.013 * * [misc]simplify: iters left: 4 (25 enodes) 1538408820.021 * * [misc]simplify: iters left: 3 (30 enodes) 1538408820.030 * * [misc]simplify: iters left: 2 (31 enodes) 1538408820.038 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408820.038 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408820.039 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408820.040 * * [misc]simplify: iters left: 6 (15 enodes) 1538408820.043 * * [misc]simplify: iters left: 5 (25 enodes) 1538408820.049 * * [misc]simplify: iters left: 4 (46 enodes) 1538408820.062 * * [misc]simplify: iters left: 3 (81 enodes) 1538408820.084 * * [misc]simplify: iters left: 2 (123 enodes) 1538408820.107 * * [misc]simplify: iters left: 1 (177 enodes) 1538408820.158 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408820.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408820.158 * * * * [misc]progress: [ 92 / 302 ] simplifiying candidate # 1538408820.158 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408820.159 * * [misc]simplify: iters left: 6 (14 enodes) 1538408820.163 * * [misc]simplify: iters left: 5 (21 enodes) 1538408820.167 * * [misc]simplify: iters left: 4 (25 enodes) 1538408820.172 * * [misc]simplify: iters left: 3 (30 enodes) 1538408820.176 * * [misc]simplify: iters left: 2 (31 enodes) 1538408820.182 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408820.182 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408820.182 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408820.183 * * [misc]simplify: iters left: 6 (15 enodes) 1538408820.187 * * [misc]simplify: iters left: 5 (25 enodes) 1538408820.193 * * [misc]simplify: iters left: 4 (46 enodes) 1538408820.212 * * [misc]simplify: iters left: 3 (81 enodes) 1538408820.244 * * [misc]simplify: iters left: 2 (123 enodes) 1538408820.287 * * [misc]simplify: iters left: 1 (177 enodes) 1538408820.363 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408820.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408820.363 * * * * [misc]progress: [ 93 / 302 ] simplifiying candidate # 1538408820.366 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408820.367 * * [misc]simplify: iters left: 6 (15 enodes) 1538408820.371 * * [misc]simplify: iters left: 5 (22 enodes) 1538408820.375 * * [misc]simplify: iters left: 4 (29 enodes) 1538408820.381 * * [misc]simplify: iters left: 3 (34 enodes) 1538408820.386 * * [misc]simplify: iters left: 2 (35 enodes) 1538408820.392 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408820.392 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408820.392 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408820.393 * * [misc]simplify: iters left: 6 (15 enodes) 1538408820.397 * * [misc]simplify: iters left: 5 (25 enodes) 1538408820.403 * * [misc]simplify: iters left: 4 (47 enodes) 1538408820.414 * * [misc]simplify: iters left: 3 (82 enodes) 1538408820.429 * * [misc]simplify: iters left: 2 (124 enodes) 1538408820.468 * * [misc]simplify: iters left: 1 (178 enodes) 1538408820.514 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408820.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408820.514 * * * * [misc]progress: [ 94 / 302 ] simplifiying candidate # 1538408820.515 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408820.517 * * [misc]simplify: iters left: 6 (18 enodes) 1538408820.525 * * [misc]simplify: iters left: 5 (28 enodes) 1538408820.536 * * [misc]simplify: iters left: 4 (37 enodes) 1538408820.553 * * [misc]simplify: iters left: 3 (49 enodes) 1538408820.568 * * [misc]simplify: iters left: 2 (58 enodes) 1538408820.577 * * [misc]simplify: iters left: 1 (60 enodes) 1538408820.591 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1538408820.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408820.591 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408820.592 * * [misc]simplify: iters left: 6 (18 enodes) 1538408820.596 * * [misc]simplify: iters left: 5 (29 enodes) 1538408820.603 * * [misc]simplify: iters left: 4 (51 enodes) 1538408820.623 * * [misc]simplify: iters left: 3 (86 enodes) 1538408820.655 * * [misc]simplify: iters left: 2 (128 enodes) 1538408820.700 * * [misc]simplify: iters left: 1 (183 enodes) 1538408820.781 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408820.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408820.781 * * * * [misc]progress: [ 95 / 302 ] simplifiying candidate # 1538408820.781 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408820.783 * * [misc]simplify: iters left: 6 (17 enodes) 1538408820.791 * * [misc]simplify: iters left: 5 (25 enodes) 1538408820.799 * * [misc]simplify: iters left: 4 (32 enodes) 1538408820.809 * * [misc]simplify: iters left: 3 (37 enodes) 1538408820.819 * * [misc]simplify: iters left: 2 (38 enodes) 1538408820.831 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538408820.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408820.831 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408820.833 * * [misc]simplify: iters left: 6 (18 enodes) 1538408820.840 * * [misc]simplify: iters left: 5 (29 enodes) 1538408820.850 * * [misc]simplify: iters left: 4 (51 enodes) 1538408820.870 * * [misc]simplify: iters left: 3 (86 enodes) 1538408820.898 * * [misc]simplify: iters left: 2 (128 enodes) 1538408820.945 * * [misc]simplify: iters left: 1 (183 enodes) 1538408821.015 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408821.015 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408821.015 * * * * [misc]progress: [ 96 / 302 ] simplifiying candidate # 1538408821.015 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1538408821.016 * * [misc]simplify: iters left: 6 (11 enodes) 1538408821.022 * * [misc]simplify: iters left: 5 (18 enodes) 1538408821.027 * * [misc]simplify: iters left: 4 (26 enodes) 1538408821.031 * * [misc]simplify: iters left: 3 (31 enodes) 1538408821.036 * * [misc]simplify: iters left: 2 (32 enodes) 1538408821.039 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538408821.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408821.040 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408821.041 * * [misc]simplify: iters left: 6 (17 enodes) 1538408821.045 * * [misc]simplify: iters left: 5 (28 enodes) 1538408821.052 * * [misc]simplify: iters left: 4 (50 enodes) 1538408821.071 * * [misc]simplify: iters left: 3 (85 enodes) 1538408821.100 * * [misc]simplify: iters left: 2 (127 enodes) 1538408821.130 * * [misc]simplify: iters left: 1 (181 enodes) 1538408821.180 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538408821.181 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538408821.181 * * * * [misc]progress: [ 97 / 302 ] simplifiying candidate # 1538408821.181 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538408821.182 * * [misc]simplify: iters left: 6 (12 enodes) 1538408821.187 * * [misc]simplify: iters left: 5 (21 enodes) 1538408821.194 * * [misc]simplify: iters left: 4 (24 enodes) 1538408821.202 * * [misc]simplify: iters left: 3 (36 enodes) 1538408821.217 * * [misc]simplify: iters left: 2 (42 enodes) 1538408821.230 * * [misc]simplify: iters left: 1 (51 enodes) 1538408821.246 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408821.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408821.246 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408821.247 * * [misc]simplify: iters left: 6 (14 enodes) 1538408821.254 * * [misc]simplify: iters left: 5 (24 enodes) 1538408821.264 * * [misc]simplify: iters left: 4 (45 enodes) 1538408821.274 * * [misc]simplify: iters left: 3 (80 enodes) 1538408821.288 * * [misc]simplify: iters left: 2 (122 enodes) 1538408821.316 * * [misc]simplify: iters left: 1 (177 enodes) 1538408821.391 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538408821.391 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538408821.391 * * * * [misc]progress: [ 98 / 302 ] simplifiying candidate # 1538408821.391 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538408821.392 * * [misc]simplify: iters left: 6 (12 enodes) 1538408821.398 * * [misc]simplify: iters left: 5 (21 enodes) 1538408821.406 * * [misc]simplify: iters left: 4 (24 enodes) 1538408821.416 * * [misc]simplify: iters left: 3 (36 enodes) 1538408821.427 * * [misc]simplify: iters left: 2 (42 enodes) 1538408821.439 * * [misc]simplify: iters left: 1 (51 enodes) 1538408821.447 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538408821.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408821.448 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408821.449 * * [misc]simplify: iters left: 6 (14 enodes) 1538408821.452 * * [misc]simplify: iters left: 5 (24 enodes) 1538408821.458 * * [misc]simplify: iters left: 4 (45 enodes) 1538408821.475 * * [misc]simplify: iters left: 3 (80 enodes) 1538408821.492 * * [misc]simplify: iters left: 2 (122 enodes) 1538408821.515 * * [misc]simplify: iters left: 1 (177 enodes) 1538408821.565 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538408821.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538408821.565 * * * * [misc]progress: [ 99 / 302 ] simplifiying candidate # 1538408821.565 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408821.566 * * [misc]simplify: iters left: 6 (14 enodes) 1538408821.569 * * [misc]simplify: iters left: 5 (23 enodes) 1538408821.574 * * [misc]simplify: iters left: 4 (29 enodes) 1538408821.580 * * [misc]simplify: iters left: 3 (41 enodes) 1538408821.587 * * [misc]simplify: iters left: 2 (47 enodes) 1538408821.594 * * [misc]simplify: iters left: 1 (57 enodes) 1538408821.607 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538408821.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408821.607 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408821.609 * * [misc]simplify: iters left: 6 (14 enodes) 1538408821.615 * * [misc]simplify: iters left: 5 (24 enodes) 1538408821.626 * * [misc]simplify: iters left: 4 (46 enodes) 1538408821.645 * * [misc]simplify: iters left: 3 (81 enodes) 1538408821.672 * * [misc]simplify: iters left: 2 (123 enodes) 1538408821.718 * * [misc]simplify: iters left: 1 (178 enodes) 1538408821.770 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408821.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408821.770 * * * * [misc]progress: [ 100 / 302 ] simplifiying candidate # 1538408821.770 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408821.771 * * [misc]simplify: iters left: 6 (17 enodes) 1538408821.780 * * [misc]simplify: iters left: 5 (29 enodes) 1538408821.791 * * [misc]simplify: iters left: 4 (37 enodes) 1538408821.806 * * [misc]simplify: iters left: 3 (55 enodes) 1538408821.826 * * [misc]simplify: iters left: 2 (74 enodes) 1538408821.856 * * [misc]simplify: iters left: 1 (95 enodes) 1538408821.897 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1538408821.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408821.898 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408821.899 * * [misc]simplify: iters left: 6 (17 enodes) 1538408821.903 * * [misc]simplify: iters left: 5 (28 enodes) 1538408821.909 * * [misc]simplify: iters left: 4 (50 enodes) 1538408821.923 * * [misc]simplify: iters left: 3 (85 enodes) 1538408821.945 * * [misc]simplify: iters left: 2 (127 enodes) 1538408821.972 * * [misc]simplify: iters left: 1 (181 enodes) 1538408822.019 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408822.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408822.020 * * * * [misc]progress: [ 101 / 302 ] simplifiying candidate # 1538408822.020 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408822.025 * * [misc]simplify: iters left: 6 (16 enodes) 1538408822.033 * * [misc]simplify: iters left: 5 (26 enodes) 1538408822.043 * * [misc]simplify: iters left: 4 (32 enodes) 1538408822.055 * * [misc]simplify: iters left: 3 (44 enodes) 1538408822.063 * * [misc]simplify: iters left: 2 (50 enodes) 1538408822.070 * * [misc]simplify: iters left: 1 (60 enodes) 1538408822.083 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408822.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408822.083 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408822.084 * * [misc]simplify: iters left: 6 (17 enodes) 1538408822.090 * * [misc]simplify: iters left: 5 (28 enodes) 1538408822.101 * * [misc]simplify: iters left: 4 (50 enodes) 1538408822.115 * * [misc]simplify: iters left: 3 (85 enodes) 1538408822.134 * * [misc]simplify: iters left: 2 (127 enodes) 1538408822.158 * * [misc]simplify: iters left: 1 (181 enodes) 1538408822.207 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538408822.207 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408822.207 * * * * [misc]progress: [ 102 / 302 ] simplifiying candidate # 1538408822.208 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1538408822.208 * * [misc]simplify: iters left: 6 (8 enodes) 1538408822.213 * * [misc]simplify: iters left: 5 (13 enodes) 1538408822.217 * * [misc]simplify: iters left: 4 (14 enodes) 1538408822.222 * * [misc]simplify: iters left: 3 (17 enodes) 1538408822.225 * * [misc]simplify: iters left: 2 (18 enodes) 1538408822.228 * * [misc]simplify: iters left: 1 (20 enodes) 1538408822.231 * [exit]simplify: Simplified to (sqrt PI) 1538408822.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408822.231 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408822.232 * * [misc]simplify: iters left: 6 (16 enodes) 1538408822.235 * * [misc]simplify: iters left: 5 (27 enodes) 1538408822.242 * * [misc]simplify: iters left: 4 (49 enodes) 1538408822.253 * * [misc]simplify: iters left: 3 (84 enodes) 1538408822.280 * * [misc]simplify: iters left: 2 (126 enodes) 1538408822.317 * * [misc]simplify: iters left: 1 (181 enodes) 1538408822.385 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408822.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408822.386 * * * * [misc]progress: [ 103 / 302 ] simplifiying candidate # 1538408822.386 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1538408822.387 * * [misc]simplify: iters left: 6 (7 enodes) 1538408822.390 * * [misc]simplify: iters left: 5 (12 enodes) 1538408822.395 * * [misc]simplify: iters left: 4 (17 enodes) 1538408822.400 * * [misc]simplify: iters left: 3 (19 enodes) 1538408822.405 * [exit]simplify: Simplified to (sqrt PI) 1538408822.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408822.406 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408822.407 * * [misc]simplify: iters left: 6 (16 enodes) 1538408822.418 * * [misc]simplify: iters left: 5 (27 enodes) 1538408822.430 * * [misc]simplify: iters left: 4 (49 enodes) 1538408822.449 * * [misc]simplify: iters left: 3 (84 enodes) 1538408822.478 * * [misc]simplify: iters left: 2 (126 enodes) 1538408822.508 * * [misc]simplify: iters left: 1 (181 enodes) 1538408822.553 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408822.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408822.553 * * * * [misc]progress: [ 104 / 302 ] simplifiying candidate # 1538408822.554 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1538408822.554 * * [misc]simplify: iters left: 6 (8 enodes) 1538408822.556 * * [misc]simplify: iters left: 5 (11 enodes) 1538408822.558 * * [misc]simplify: iters left: 4 (12 enodes) 1538408822.561 * * [misc]simplify: iters left: 3 (15 enodes) 1538408822.564 * * [misc]simplify: iters left: 2 (16 enodes) 1538408822.567 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538408822.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408822.567 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408822.568 * * [misc]simplify: iters left: 6 (16 enodes) 1538408822.572 * * [misc]simplify: iters left: 5 (29 enodes) 1538408822.578 * * [misc]simplify: iters left: 4 (49 enodes) 1538408822.590 * * [misc]simplify: iters left: 3 (91 enodes) 1538408822.609 * * [misc]simplify: iters left: 2 (126 enodes) 1538408822.633 * * [misc]simplify: iters left: 1 (183 enodes) 1538408822.676 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1538408822.676 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1538408822.676 * * * * [misc]progress: [ 105 / 302 ] simplifiying candidate # 1538408822.676 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408822.677 * * [misc]simplify: iters left: 6 (13 enodes) 1538408822.680 * * [misc]simplify: iters left: 5 (20 enodes) 1538408822.684 * * [misc]simplify: iters left: 4 (24 enodes) 1538408822.689 * * [misc]simplify: iters left: 3 (29 enodes) 1538408822.693 * * [misc]simplify: iters left: 2 (30 enodes) 1538408822.698 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538408822.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1538408822.698 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1538408822.699 * * [misc]simplify: iters left: 6 (12 enodes) 1538408822.702 * * [misc]simplify: iters left: 5 (20 enodes) 1538408822.707 * * [misc]simplify: iters left: 4 (38 enodes) 1538408822.716 * * [misc]simplify: iters left: 3 (67 enodes) 1538408822.726 * * [misc]simplify: iters left: 2 (83 enodes) 1538408822.736 * * [misc]simplify: iters left: 1 (93 enodes) 1538408822.753 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538408822.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538408822.753 * * * * [misc]progress: [ 106 / 302 ] simplifiying candidate # 1538408822.753 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408822.754 * * [misc]simplify: iters left: 6 (19 enodes) 1538408822.759 * * [misc]simplify: iters left: 5 (32 enodes) 1538408822.766 * * [misc]simplify: iters left: 4 (50 enodes) 1538408822.776 * * [misc]simplify: iters left: 3 (69 enodes) 1538408822.790 * * [misc]simplify: iters left: 2 (111 enodes) 1538408822.810 * * [misc]simplify: iters left: 1 (149 enodes) 1538408822.839 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408822.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408822.839 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408822.840 * * [misc]simplify: iters left: 6 (17 enodes) 1538408822.844 * * [misc]simplify: iters left: 5 (24 enodes) 1538408822.848 * * [misc]simplify: iters left: 4 (33 enodes) 1538408822.855 * * [misc]simplify: iters left: 3 (49 enodes) 1538408822.866 * * [misc]simplify: iters left: 2 (88 enodes) 1538408822.883 * * [misc]simplify: iters left: 1 (126 enodes) 1538408822.910 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408822.910 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408822.910 * * * * [misc]progress: [ 107 / 302 ] simplifiying candidate # 1538408822.910 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408822.912 * * [misc]simplify: iters left: 6 (18 enodes) 1538408822.916 * * [misc]simplify: iters left: 5 (27 enodes) 1538408822.921 * * [misc]simplify: iters left: 4 (38 enodes) 1538408822.928 * * [misc]simplify: iters left: 3 (55 enodes) 1538408822.948 * * [misc]simplify: iters left: 2 (94 enodes) 1538408822.984 * * [misc]simplify: iters left: 1 (132 enodes) 1538408823.032 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408823.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408823.032 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408823.035 * * [misc]simplify: iters left: 6 (17 enodes) 1538408823.041 * * [misc]simplify: iters left: 5 (24 enodes) 1538408823.050 * * [misc]simplify: iters left: 4 (33 enodes) 1538408823.062 * * [misc]simplify: iters left: 3 (49 enodes) 1538408823.084 * * [misc]simplify: iters left: 2 (88 enodes) 1538408823.115 * * [misc]simplify: iters left: 1 (126 enodes) 1538408823.151 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408823.151 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408823.152 * * * * [misc]progress: [ 108 / 302 ] simplifiying candidate # 1538408823.152 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408823.153 * * [misc]simplify: iters left: 6 (19 enodes) 1538408823.159 * * [misc]simplify: iters left: 5 (33 enodes) 1538408823.166 * * [misc]simplify: iters left: 4 (57 enodes) 1538408823.188 * * [misc]simplify: iters left: 3 (114 enodes) 1538408823.218 * * [misc]simplify: iters left: 2 (204 enodes) 1538408823.282 * * [misc]simplify: iters left: 1 (271 enodes) 1538408823.401 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408823.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408823.401 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408823.403 * * [misc]simplify: iters left: 6 (18 enodes) 1538408823.411 * * [misc]simplify: iters left: 5 (28 enodes) 1538408823.421 * * [misc]simplify: iters left: 4 (38 enodes) 1538408823.436 * * [misc]simplify: iters left: 3 (56 enodes) 1538408823.449 * * [misc]simplify: iters left: 2 (95 enodes) 1538408823.468 * * [misc]simplify: iters left: 1 (133 enodes) 1538408823.499 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408823.499 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408823.499 * * * * [misc]progress: [ 109 / 302 ] simplifiying candidate # 1538408823.499 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408823.501 * * [misc]simplify: iters left: 6 (19 enodes) 1538408823.505 * * [misc]simplify: iters left: 5 (33 enodes) 1538408823.512 * * [misc]simplify: iters left: 4 (57 enodes) 1538408823.527 * * [misc]simplify: iters left: 3 (114 enodes) 1538408823.568 * * [misc]simplify: iters left: 2 (204 enodes) 1538408823.653 * * [misc]simplify: iters left: 1 (271 enodes) 1538408823.750 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408823.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408823.751 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408823.752 * * [misc]simplify: iters left: 6 (18 enodes) 1538408823.756 * * [misc]simplify: iters left: 5 (28 enodes) 1538408823.764 * * [misc]simplify: iters left: 4 (38 enodes) 1538408823.779 * * [misc]simplify: iters left: 3 (56 enodes) 1538408823.792 * * [misc]simplify: iters left: 2 (95 enodes) 1538408823.809 * * [misc]simplify: iters left: 1 (133 enodes) 1538408823.840 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408823.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408823.840 * * * * [misc]progress: [ 110 / 302 ] simplifiying candidate # 1538408823.840 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408823.842 * * [misc]simplify: iters left: 6 (18 enodes) 1538408823.850 * * [misc]simplify: iters left: 5 (30 enodes) 1538408823.867 * * [misc]simplify: iters left: 4 (54 enodes) 1538408823.896 * * [misc]simplify: iters left: 3 (111 enodes) 1538408823.938 * * [misc]simplify: iters left: 2 (203 enodes) 1538408824.010 * * [misc]simplify: iters left: 1 (272 enodes) 1538408824.128 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) 1538408824.128 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408824.128 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408824.130 * * [misc]simplify: iters left: 6 (15 enodes) 1538408824.136 * * [misc]simplify: iters left: 5 (23 enodes) 1538408824.144 * * [misc]simplify: iters left: 4 (35 enodes) 1538408824.152 * * [misc]simplify: iters left: 3 (53 enodes) 1538408824.164 * * [misc]simplify: iters left: 2 (92 enodes) 1538408824.187 * * [misc]simplify: iters left: 1 (130 enodes) 1538408824.232 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408824.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408824.233 * * * * [misc]progress: [ 111 / 302 ] simplifiying candidate # 1538408824.233 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408824.235 * * [misc]simplify: iters left: 6 (21 enodes) 1538408824.245 * * [misc]simplify: iters left: 5 (38 enodes) 1538408824.264 * * [misc]simplify: iters left: 4 (78 enodes) 1538408824.303 * * [misc]simplify: iters left: 3 (165 enodes) 1538408824.378 * * [misc]simplify: iters left: 2 (334 enodes) 1538408824.519 * * [misc]simplify: iters left: 1 (492 enodes) 1538408824.836 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408824.836 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408824.836 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408824.838 * * [misc]simplify: iters left: 6 (18 enodes) 1538408824.842 * * [misc]simplify: iters left: 5 (27 enodes) 1538408824.848 * * [misc]simplify: iters left: 4 (39 enodes) 1538408824.856 * * [misc]simplify: iters left: 3 (57 enodes) 1538408824.870 * * [misc]simplify: iters left: 2 (96 enodes) 1538408824.894 * * [misc]simplify: iters left: 1 (134 enodes) 1538408824.930 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408824.930 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408824.930 * * * * [misc]progress: [ 112 / 302 ] simplifiying candidate # 1538408824.930 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408824.932 * * [misc]simplify: iters left: 6 (20 enodes) 1538408824.936 * * [misc]simplify: iters left: 5 (33 enodes) 1538408824.943 * * [misc]simplify: iters left: 4 (57 enodes) 1538408824.961 * * [misc]simplify: iters left: 3 (114 enodes) 1538408825.016 * * [misc]simplify: iters left: 2 (206 enodes) 1538408825.096 * * [misc]simplify: iters left: 1 (273 enodes) 1538408825.191 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408825.191 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408825.191 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408825.193 * * [misc]simplify: iters left: 6 (18 enodes) 1538408825.197 * * [misc]simplify: iters left: 5 (27 enodes) 1538408825.202 * * [misc]simplify: iters left: 4 (39 enodes) 1538408825.212 * * [misc]simplify: iters left: 3 (57 enodes) 1538408825.234 * * [misc]simplify: iters left: 2 (96 enodes) 1538408825.268 * * [misc]simplify: iters left: 1 (134 enodes) 1538408825.299 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408825.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408825.299 * * * * [misc]progress: [ 113 / 302 ] simplifiying candidate # 1538408825.299 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408825.300 * * [misc]simplify: iters left: 6 (17 enodes) 1538408825.304 * * [misc]simplify: iters left: 5 (31 enodes) 1538408825.313 * * [misc]simplify: iters left: 4 (58 enodes) 1538408825.338 * * [misc]simplify: iters left: 3 (98 enodes) 1538408825.377 * * [misc]simplify: iters left: 2 (208 enodes) 1538408825.479 * * [misc]simplify: iters left: 1 (309 enodes) 1538408825.554 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538408825.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408825.554 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408825.555 * * [misc]simplify: iters left: 6 (17 enodes) 1538408825.559 * * [misc]simplify: iters left: 5 (26 enodes) 1538408825.565 * * [misc]simplify: iters left: 4 (38 enodes) 1538408825.573 * * [misc]simplify: iters left: 3 (56 enodes) 1538408825.596 * * [misc]simplify: iters left: 2 (95 enodes) 1538408825.623 * * [misc]simplify: iters left: 1 (133 enodes) 1538408825.666 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408825.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408825.666 * * * * [misc]progress: [ 114 / 302 ] simplifiying candidate # 1538408825.666 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408825.668 * * [misc]simplify: iters left: 6 (18 enodes) 1538408825.676 * * [misc]simplify: iters left: 5 (30 enodes) 1538408825.688 * * [misc]simplify: iters left: 4 (46 enodes) 1538408825.707 * * [misc]simplify: iters left: 3 (74 enodes) 1538408825.741 * * [misc]simplify: iters left: 2 (125 enodes) 1538408825.783 * * [misc]simplify: iters left: 1 (169 enodes) 1538408825.843 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538408825.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408825.844 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408825.846 * * [misc]simplify: iters left: 6 (18 enodes) 1538408825.854 * * [misc]simplify: iters left: 5 (28 enodes) 1538408825.867 * * [misc]simplify: iters left: 4 (38 enodes) 1538408825.881 * * [misc]simplify: iters left: 3 (56 enodes) 1538408825.904 * * [misc]simplify: iters left: 2 (95 enodes) 1538408825.936 * * [misc]simplify: iters left: 1 (133 enodes) 1538408825.960 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408825.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408825.960 * * * * [misc]progress: [ 115 / 302 ] simplifiying candidate # 1538408825.960 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408825.961 * * [misc]simplify: iters left: 6 (18 enodes) 1538408825.966 * * [misc]simplify: iters left: 5 (30 enodes) 1538408825.974 * * [misc]simplify: iters left: 4 (46 enodes) 1538408825.987 * * [misc]simplify: iters left: 3 (74 enodes) 1538408826.012 * * [misc]simplify: iters left: 2 (125 enodes) 1538408826.035 * * [misc]simplify: iters left: 1 (169 enodes) 1538408826.069 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538408826.069 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408826.069 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408826.070 * * [misc]simplify: iters left: 6 (18 enodes) 1538408826.074 * * [misc]simplify: iters left: 5 (28 enodes) 1538408826.079 * * [misc]simplify: iters left: 4 (38 enodes) 1538408826.086 * * [misc]simplify: iters left: 3 (56 enodes) 1538408826.099 * * [misc]simplify: iters left: 2 (95 enodes) 1538408826.121 * * [misc]simplify: iters left: 1 (133 enodes) 1538408826.168 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408826.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408826.168 * * * * [misc]progress: [ 116 / 302 ] simplifiying candidate # 1538408826.168 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408826.170 * * [misc]simplify: iters left: 6 (17 enodes) 1538408826.178 * * [misc]simplify: iters left: 5 (27 enodes) 1538408826.188 * * [misc]simplify: iters left: 4 (43 enodes) 1538408826.206 * * [misc]simplify: iters left: 3 (71 enodes) 1538408826.235 * * [misc]simplify: iters left: 2 (122 enodes) 1538408826.276 * * [misc]simplify: iters left: 1 (166 enodes) 1538408826.311 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408826.311 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408826.311 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408826.312 * * [misc]simplify: iters left: 6 (15 enodes) 1538408826.316 * * [misc]simplify: iters left: 5 (23 enodes) 1538408826.320 * * [misc]simplify: iters left: 4 (35 enodes) 1538408826.328 * * [misc]simplify: iters left: 3 (53 enodes) 1538408826.339 * * [misc]simplify: iters left: 2 (92 enodes) 1538408826.759 * * [misc]simplify: iters left: 1 (130 enodes) 1538408826.781 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408826.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408826.781 * * * * [misc]progress: [ 117 / 302 ] simplifiying candidate # 1538408826.781 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408826.782 * * [misc]simplify: iters left: 6 (20 enodes) 1538408826.790 * * [misc]simplify: iters left: 5 (33 enodes) 1538408826.804 * * [misc]simplify: iters left: 4 (53 enodes) 1538408826.828 * * [misc]simplify: iters left: 3 (95 enodes) 1538408826.858 * * [misc]simplify: iters left: 2 (173 enodes) 1538408826.895 * * [misc]simplify: iters left: 1 (242 enodes) 1538408826.973 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1538408826.973 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408826.973 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408826.974 * * [misc]simplify: iters left: 6 (18 enodes) 1538408826.978 * * [misc]simplify: iters left: 5 (27 enodes) 1538408826.983 * * [misc]simplify: iters left: 4 (39 enodes) 1538408826.998 * * [misc]simplify: iters left: 3 (57 enodes) 1538408827.021 * * [misc]simplify: iters left: 2 (96 enodes) 1538408827.058 * * [misc]simplify: iters left: 1 (134 enodes) 1538408827.088 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408827.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408827.088 * * * * [misc]progress: [ 118 / 302 ] simplifiying candidate # 1538408827.089 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408827.090 * * [misc]simplify: iters left: 6 (19 enodes) 1538408827.094 * * [misc]simplify: iters left: 5 (30 enodes) 1538408827.100 * * [misc]simplify: iters left: 4 (46 enodes) 1538408827.116 * * [misc]simplify: iters left: 3 (74 enodes) 1538408827.148 * * [misc]simplify: iters left: 2 (125 enodes) 1538408827.174 * * [misc]simplify: iters left: 1 (169 enodes) 1538408827.209 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538408827.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408827.209 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408827.211 * * [misc]simplify: iters left: 6 (18 enodes) 1538408827.217 * * [misc]simplify: iters left: 5 (27 enodes) 1538408827.228 * * [misc]simplify: iters left: 4 (39 enodes) 1538408827.243 * * [misc]simplify: iters left: 3 (57 enodes) 1538408827.266 * * [misc]simplify: iters left: 2 (96 enodes) 1538408827.291 * * [misc]simplify: iters left: 1 (134 enodes) 1538408827.316 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408827.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408827.316 * * * * [misc]progress: [ 119 / 302 ] simplifiying candidate # 1538408827.317 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1538408827.319 * * [misc]simplify: iters left: 6 (16 enodes) 1538408827.330 * * [misc]simplify: iters left: 5 (28 enodes) 1538408827.342 * * [misc]simplify: iters left: 4 (45 enodes) 1538408827.360 * * [misc]simplify: iters left: 3 (72 enodes) 1538408827.388 * * [misc]simplify: iters left: 2 (111 enodes) 1538408827.408 * * [misc]simplify: iters left: 1 (153 enodes) 1538408827.440 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538408827.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408827.440 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408827.442 * * [misc]simplify: iters left: 6 (17 enodes) 1538408827.449 * * [misc]simplify: iters left: 5 (26 enodes) 1538408827.455 * * [misc]simplify: iters left: 4 (38 enodes) 1538408827.463 * * [misc]simplify: iters left: 3 (56 enodes) 1538408827.475 * * [misc]simplify: iters left: 2 (95 enodes) 1538408827.492 * * [misc]simplify: iters left: 1 (133 enodes) 1538408827.521 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408827.521 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408827.521 * * * * [misc]progress: [ 120 / 302 ] simplifiying candidate # 1538408827.522 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1538408827.527 * * [misc]simplify: iters left: 6 (17 enodes) 1538408827.535 * * [misc]simplify: iters left: 5 (31 enodes) 1538408827.542 * * [misc]simplify: iters left: 4 (47 enodes) 1538408827.553 * * [misc]simplify: iters left: 3 (78 enodes) 1538408827.572 * * [misc]simplify: iters left: 2 (139 enodes) 1538408827.618 * * [misc]simplify: iters left: 1 (250 enodes) 1538408827.704 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408827.704 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408827.704 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408827.706 * * [misc]simplify: iters left: 6 (17 enodes) 1538408827.714 * * [misc]simplify: iters left: 5 (27 enodes) 1538408827.730 * * [misc]simplify: iters left: 4 (37 enodes) 1538408827.745 * * [misc]simplify: iters left: 3 (55 enodes) 1538408827.767 * * [misc]simplify: iters left: 2 (94 enodes) 1538408827.801 * * [misc]simplify: iters left: 1 (132 enodes) 1538408827.826 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408827.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408827.826 * * * * [misc]progress: [ 121 / 302 ] simplifiying candidate # 1538408827.826 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1538408827.827 * * [misc]simplify: iters left: 6 (17 enodes) 1538408827.832 * * [misc]simplify: iters left: 5 (31 enodes) 1538408827.840 * * [misc]simplify: iters left: 4 (47 enodes) 1538408827.854 * * [misc]simplify: iters left: 3 (78 enodes) 1538408827.883 * * [misc]simplify: iters left: 2 (139 enodes) 1538408827.933 * * [misc]simplify: iters left: 1 (250 enodes) 1538408828.008 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408828.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408828.009 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408828.010 * * [misc]simplify: iters left: 6 (17 enodes) 1538408828.018 * * [misc]simplify: iters left: 5 (27 enodes) 1538408828.024 * * [misc]simplify: iters left: 4 (37 enodes) 1538408828.031 * * [misc]simplify: iters left: 3 (55 enodes) 1538408828.046 * * [misc]simplify: iters left: 2 (94 enodes) 1538408828.077 * * [misc]simplify: iters left: 1 (132 enodes) 1538408828.117 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408828.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408828.118 * * * * [misc]progress: [ 122 / 302 ] simplifiying candidate # 1538408828.118 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408828.119 * * [misc]simplify: iters left: 6 (16 enodes) 1538408828.123 * * [misc]simplify: iters left: 5 (28 enodes) 1538408828.129 * * [misc]simplify: iters left: 4 (44 enodes) 1538408828.139 * * [misc]simplify: iters left: 3 (75 enodes) 1538408828.159 * * [misc]simplify: iters left: 2 (136 enodes) 1538408828.208 * * [misc]simplify: iters left: 1 (233 enodes) 1538408828.284 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408828.284 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408828.285 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408828.286 * * [misc]simplify: iters left: 6 (14 enodes) 1538408828.289 * * [misc]simplify: iters left: 5 (22 enodes) 1538408828.295 * * [misc]simplify: iters left: 4 (34 enodes) 1538408828.308 * * [misc]simplify: iters left: 3 (52 enodes) 1538408828.329 * * [misc]simplify: iters left: 2 (91 enodes) 1538408828.364 * * [misc]simplify: iters left: 1 (129 enodes) 1538408828.402 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408828.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408828.402 * * * * [misc]progress: [ 123 / 302 ] simplifiying candidate # 1538408828.402 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408828.403 * * [misc]simplify: iters left: 6 (19 enodes) 1538408828.408 * * [misc]simplify: iters left: 5 (34 enodes) 1538408828.415 * * [misc]simplify: iters left: 4 (54 enodes) 1538408828.428 * * [misc]simplify: iters left: 3 (97 enodes) 1538408828.457 * * [misc]simplify: iters left: 2 (204 enodes) 1538408828.570 * * [misc]simplify: iters left: 1 (454 enodes) 1538408828.849 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408828.849 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408828.849 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408828.850 * * [misc]simplify: iters left: 6 (17 enodes) 1538408828.854 * * [misc]simplify: iters left: 5 (26 enodes) 1538408828.859 * * [misc]simplify: iters left: 4 (38 enodes) 1538408828.867 * * [misc]simplify: iters left: 3 (56 enodes) 1538408828.882 * * [misc]simplify: iters left: 2 (95 enodes) 1538408828.909 * * [misc]simplify: iters left: 1 (133 enodes) 1538408828.953 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408828.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408828.953 * * * * [misc]progress: [ 124 / 302 ] simplifiying candidate # 1538408828.954 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408828.956 * * [misc]simplify: iters left: 6 (18 enodes) 1538408828.965 * * [misc]simplify: iters left: 5 (31 enodes) 1538408828.977 * * [misc]simplify: iters left: 4 (47 enodes) 1538408828.996 * * [misc]simplify: iters left: 3 (78 enodes) 1538408829.033 * * [misc]simplify: iters left: 2 (139 enodes) 1538408829.076 * * [misc]simplify: iters left: 1 (250 enodes) 1538408829.171 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408829.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408829.172 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408829.174 * * [misc]simplify: iters left: 6 (17 enodes) 1538408829.181 * * [misc]simplify: iters left: 5 (26 enodes) 1538408829.191 * * [misc]simplify: iters left: 4 (38 enodes) 1538408829.205 * * [misc]simplify: iters left: 3 (56 enodes) 1538408829.228 * * [misc]simplify: iters left: 2 (95 enodes) 1538408829.267 * * [misc]simplify: iters left: 1 (133 enodes) 1538408829.313 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408829.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408829.313 * * * * [misc]progress: [ 125 / 302 ] simplifiying candidate # 1538408829.313 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 1)) 1538408829.315 * * [misc]simplify: iters left: 6 (14 enodes) 1538408829.321 * * [misc]simplify: iters left: 5 (24 enodes) 1538408829.330 * * [misc]simplify: iters left: 4 (33 enodes) 1538408829.344 * * [misc]simplify: iters left: 3 (57 enodes) 1538408829.369 * * [misc]simplify: iters left: 2 (107 enodes) 1538408829.403 * * [misc]simplify: iters left: 1 (171 enodes) 1538408829.435 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408829.435 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408829.435 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408829.437 * * [misc]simplify: iters left: 6 (16 enodes) 1538408829.443 * * [misc]simplify: iters left: 5 (25 enodes) 1538408829.453 * * [misc]simplify: iters left: 4 (37 enodes) 1538408829.467 * * [misc]simplify: iters left: 3 (55 enodes) 1538408829.489 * * [misc]simplify: iters left: 2 (94 enodes) 1538408829.525 * * [misc]simplify: iters left: 1 (132 enodes) 1538408829.567 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408829.567 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408829.567 * * * * [misc]progress: [ 126 / 302 ] simplifiying candidate # 1538408829.568 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1) 1538408829.569 * * [misc]simplify: iters left: 6 (13 enodes) 1538408829.575 * * [misc]simplify: iters left: 5 (23 enodes) 1538408829.584 * * [misc]simplify: iters left: 4 (38 enodes) 1538408829.598 * * [misc]simplify: iters left: 3 (56 enodes) 1538408829.620 * * [misc]simplify: iters left: 2 (99 enodes) 1538408829.656 * * [misc]simplify: iters left: 1 (135 enodes) 1538408829.694 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408829.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408829.695 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408829.696 * * [misc]simplify: iters left: 6 (16 enodes) 1538408829.703 * * [misc]simplify: iters left: 5 (25 enodes) 1538408829.712 * * [misc]simplify: iters left: 4 (37 enodes) 1538408829.726 * * [misc]simplify: iters left: 3 (55 enodes) 1538408829.748 * * [misc]simplify: iters left: 2 (94 enodes) 1538408829.771 * * [misc]simplify: iters left: 1 (132 enodes) 1538408829.793 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408829.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408829.793 * * * * [misc]progress: [ 127 / 302 ] simplifiying candidate # 1538408829.794 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt k)) 1538408829.794 * * [misc]simplify: iters left: 6 (13 enodes) 1538408829.797 * * [misc]simplify: iters left: 5 (21 enodes) 1538408829.802 * * [misc]simplify: iters left: 4 (32 enodes) 1538408829.808 * * [misc]simplify: iters left: 3 (49 enodes) 1538408829.820 * * [misc]simplify: iters left: 2 (88 enodes) 1538408829.844 * * [misc]simplify: iters left: 1 (126 enodes) 1538408829.882 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408829.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408829.883 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408829.884 * * [misc]simplify: iters left: 6 (16 enodes) 1538408829.890 * * [misc]simplify: iters left: 5 (27 enodes) 1538408829.896 * * [misc]simplify: iters left: 4 (39 enodes) 1538408829.905 * * [misc]simplify: iters left: 3 (65 enodes) 1538408829.918 * * [misc]simplify: iters left: 2 (105 enodes) 1538408829.939 * * [misc]simplify: iters left: 1 (146 enodes) 1538408829.989 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408829.989 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538408829.989 * * * * [misc]progress: [ 128 / 302 ] simplifiying candidate # 1538408829.989 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408829.991 * * [misc]simplify: iters left: 6 (17 enodes) 1538408829.999 * * [misc]simplify: iters left: 5 (29 enodes) 1538408830.010 * * [misc]simplify: iters left: 4 (45 enodes) 1538408830.028 * * [misc]simplify: iters left: 3 (73 enodes) 1538408830.057 * * [misc]simplify: iters left: 2 (124 enodes) 1538408830.103 * * [misc]simplify: iters left: 1 (168 enodes) 1538408830.153 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408830.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1538408830.153 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1538408830.154 * * [misc]simplify: iters left: 6 (14 enodes) 1538408830.157 * * [misc]simplify: iters left: 5 (21 enodes) 1538408830.161 * * [misc]simplify: iters left: 4 (30 enodes) 1538408830.167 * * [misc]simplify: iters left: 3 (46 enodes) 1538408830.178 * * [misc]simplify: iters left: 2 (85 enodes) 1538408830.202 * * [misc]simplify: iters left: 1 (123 enodes) 1538408830.224 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1538408830.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1538408830.224 * * * * [misc]progress: [ 129 / 302 ] simplifiying candidate # 1538408830.224 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408830.225 * * [misc]simplify: iters left: 6 (18 enodes) 1538408830.229 * * [misc]simplify: iters left: 5 (27 enodes) 1538408830.234 * * [misc]simplify: iters left: 4 (36 enodes) 1538408830.241 * * [misc]simplify: iters left: 3 (52 enodes) 1538408830.253 * * [misc]simplify: iters left: 2 (91 enodes) 1538408830.272 * * [misc]simplify: iters left: 1 (129 enodes) 1538408830.306 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408830.306 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408830.307 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408830.308 * * [misc]simplify: iters left: 6 (17 enodes) 1538408830.315 * * [misc]simplify: iters left: 5 (24 enodes) 1538408830.323 * * [misc]simplify: iters left: 4 (33 enodes) 1538408830.337 * * [misc]simplify: iters left: 3 (49 enodes) 1538408830.357 * * [misc]simplify: iters left: 2 (88 enodes) 1538408830.391 * * [misc]simplify: iters left: 1 (126 enodes) 1538408830.427 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408830.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408830.427 * * * * [misc]progress: [ 130 / 302 ] simplifiying candidate # 1538408830.428 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408830.429 * * [misc]simplify: iters left: 6 (17 enodes) 1538408830.432 * * [misc]simplify: iters left: 5 (24 enodes) 1538408830.437 * * [misc]simplify: iters left: 4 (33 enodes) 1538408830.443 * * [misc]simplify: iters left: 3 (49 enodes) 1538408830.455 * * [misc]simplify: iters left: 2 (88 enodes) 1538408830.471 * * [misc]simplify: iters left: 1 (126 enodes) 1538408830.495 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408830.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408830.495 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408830.496 * * [misc]simplify: iters left: 6 (17 enodes) 1538408830.499 * * [misc]simplify: iters left: 5 (24 enodes) 1538408830.508 * * [misc]simplify: iters left: 4 (33 enodes) 1538408830.521 * * [misc]simplify: iters left: 3 (49 enodes) 1538408830.541 * * [misc]simplify: iters left: 2 (88 enodes) 1538408830.573 * * [misc]simplify: iters left: 1 (126 enodes) 1538408830.618 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408830.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408830.618 * * * * [misc]progress: [ 131 / 302 ] simplifiying candidate # 1538408830.619 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408830.620 * * [misc]simplify: iters left: 6 (18 enodes) 1538408830.628 * * [misc]simplify: iters left: 5 (30 enodes) 1538408830.640 * * [misc]simplify: iters left: 4 (46 enodes) 1538408830.658 * * [misc]simplify: iters left: 3 (74 enodes) 1538408830.687 * * [misc]simplify: iters left: 2 (118 enodes) 1538408830.727 * * [misc]simplify: iters left: 1 (163 enodes) 1538408830.784 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1538408830.784 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408830.784 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408830.786 * * [misc]simplify: iters left: 6 (18 enodes) 1538408830.793 * * [misc]simplify: iters left: 5 (28 enodes) 1538408830.803 * * [misc]simplify: iters left: 4 (38 enodes) 1538408830.811 * * [misc]simplify: iters left: 3 (56 enodes) 1538408830.823 * * [misc]simplify: iters left: 2 (95 enodes) 1538408830.860 * * [misc]simplify: iters left: 1 (133 enodes) 1538408830.903 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408830.904 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408830.904 * * * * [misc]progress: [ 132 / 302 ] simplifiying candidate # 1538408830.904 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408830.906 * * [misc]simplify: iters left: 6 (18 enodes) 1538408830.912 * * [misc]simplify: iters left: 5 (30 enodes) 1538408830.918 * * [misc]simplify: iters left: 4 (46 enodes) 1538408830.928 * * [misc]simplify: iters left: 3 (74 enodes) 1538408830.944 * * [misc]simplify: iters left: 2 (118 enodes) 1538408830.973 * * [misc]simplify: iters left: 1 (163 enodes) 1538408831.027 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1538408831.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408831.027 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408831.029 * * [misc]simplify: iters left: 6 (18 enodes) 1538408831.032 * * [misc]simplify: iters left: 5 (28 enodes) 1538408831.037 * * [misc]simplify: iters left: 4 (38 enodes) 1538408831.045 * * [misc]simplify: iters left: 3 (56 enodes) 1538408831.057 * * [misc]simplify: iters left: 2 (95 enodes) 1538408831.079 * * [misc]simplify: iters left: 1 (133 enodes) 1538408831.102 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408831.102 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408831.102 * * * * [misc]progress: [ 133 / 302 ] simplifiying candidate # 1538408831.102 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408831.104 * * [misc]simplify: iters left: 6 (17 enodes) 1538408831.111 * * [misc]simplify: iters left: 5 (27 enodes) 1538408831.122 * * [misc]simplify: iters left: 4 (43 enodes) 1538408831.139 * * [misc]simplify: iters left: 3 (71 enodes) 1538408831.167 * * [misc]simplify: iters left: 2 (115 enodes) 1538408831.188 * * [misc]simplify: iters left: 1 (160 enodes) 1538408831.214 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408831.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408831.214 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408831.215 * * [misc]simplify: iters left: 6 (15 enodes) 1538408831.219 * * [misc]simplify: iters left: 5 (23 enodes) 1538408831.224 * * [misc]simplify: iters left: 4 (35 enodes) 1538408831.231 * * [misc]simplify: iters left: 3 (53 enodes) 1538408831.254 * * [misc]simplify: iters left: 2 (92 enodes) 1538408831.287 * * [misc]simplify: iters left: 1 (130 enodes) 1538408831.332 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408831.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408831.332 * * * * [misc]progress: [ 134 / 302 ] simplifiying candidate # 1538408831.332 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408831.335 * * [misc]simplify: iters left: 6 (20 enodes) 1538408831.345 * * [misc]simplify: iters left: 5 (35 enodes) 1538408831.361 * * [misc]simplify: iters left: 4 (62 enodes) 1538408831.394 * * [misc]simplify: iters left: 3 (103 enodes) 1538408831.440 * * [misc]simplify: iters left: 2 (174 enodes) 1538408831.501 * * [misc]simplify: iters left: 1 (236 enodes) 1538408831.582 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408831.582 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408831.582 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408831.584 * * [misc]simplify: iters left: 6 (18 enodes) 1538408831.588 * * [misc]simplify: iters left: 5 (27 enodes) 1538408831.593 * * [misc]simplify: iters left: 4 (39 enodes) 1538408831.601 * * [misc]simplify: iters left: 3 (57 enodes) 1538408831.615 * * [misc]simplify: iters left: 2 (96 enodes) 1538408831.635 * * [misc]simplify: iters left: 1 (134 enodes) 1538408831.662 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408831.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408831.663 * * * * [misc]progress: [ 135 / 302 ] simplifiying candidate # 1538408831.663 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408831.664 * * [misc]simplify: iters left: 6 (19 enodes) 1538408831.669 * * [misc]simplify: iters left: 5 (30 enodes) 1538408831.675 * * [misc]simplify: iters left: 4 (46 enodes) 1538408831.688 * * [misc]simplify: iters left: 3 (74 enodes) 1538408831.703 * * [misc]simplify: iters left: 2 (118 enodes) 1538408831.736 * * [misc]simplify: iters left: 1 (163 enodes) 1538408831.799 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408831.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408831.800 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408831.802 * * [misc]simplify: iters left: 6 (18 enodes) 1538408831.810 * * [misc]simplify: iters left: 5 (27 enodes) 1538408831.821 * * [misc]simplify: iters left: 4 (39 enodes) 1538408831.836 * * [misc]simplify: iters left: 3 (57 enodes) 1538408831.859 * * [misc]simplify: iters left: 2 (96 enodes) 1538408831.893 * * [misc]simplify: iters left: 1 (134 enodes) 1538408831.938 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538408831.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538408831.938 * * * * [misc]progress: [ 136 / 302 ] simplifiying candidate # 1538408831.939 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408831.943 * * [misc]simplify: iters left: 6 (16 enodes) 1538408831.951 * * [misc]simplify: iters left: 5 (28 enodes) 1538408831.964 * * [misc]simplify: iters left: 4 (48 enodes) 1538408831.985 * * [misc]simplify: iters left: 3 (85 enodes) 1538408832.029 * * [misc]simplify: iters left: 2 (188 enodes) 1538408832.123 * * [misc]simplify: iters left: 1 (284 enodes) 1538408832.197 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408832.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408832.198 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408832.199 * * [misc]simplify: iters left: 6 (17 enodes) 1538408832.210 * * [misc]simplify: iters left: 5 (26 enodes) 1538408832.219 * * [misc]simplify: iters left: 4 (38 enodes) 1538408832.233 * * [misc]simplify: iters left: 3 (56 enodes) 1538408832.253 * * [misc]simplify: iters left: 2 (95 enodes) 1538408832.283 * * [misc]simplify: iters left: 1 (133 enodes) 1538408832.305 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408832.305 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408832.306 * * * * [misc]progress: [ 137 / 302 ] simplifiying candidate # 1538408832.306 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408832.307 * * [misc]simplify: iters left: 6 (17 enodes) 1538408832.314 * * [misc]simplify: iters left: 5 (27 enodes) 1538408832.320 * * [misc]simplify: iters left: 4 (39 enodes) 1538408832.331 * * [misc]simplify: iters left: 3 (57 enodes) 1538408832.344 * * [misc]simplify: iters left: 2 (96 enodes) 1538408832.362 * * [misc]simplify: iters left: 1 (134 enodes) 1538408832.385 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538408832.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408832.385 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408832.386 * * [misc]simplify: iters left: 6 (18 enodes) 1538408832.394 * * [misc]simplify: iters left: 5 (28 enodes) 1538408832.402 * * [misc]simplify: iters left: 4 (38 enodes) 1538408832.412 * * [misc]simplify: iters left: 3 (56 enodes) 1538408832.426 * * [misc]simplify: iters left: 2 (95 enodes) 1538408832.451 * * [misc]simplify: iters left: 1 (133 enodes) 1538408832.495 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408832.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408832.496 * * * * [misc]progress: [ 138 / 302 ] simplifiying candidate # 1538408832.496 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408832.498 * * [misc]simplify: iters left: 6 (17 enodes) 1538408832.508 * * [misc]simplify: iters left: 5 (27 enodes) 1538408832.518 * * [misc]simplify: iters left: 4 (39 enodes) 1538408832.532 * * [misc]simplify: iters left: 3 (57 enodes) 1538408832.548 * * [misc]simplify: iters left: 2 (96 enodes) 1538408832.566 * * [misc]simplify: iters left: 1 (134 enodes) 1538408832.588 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538408832.588 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408832.589 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408832.590 * * [misc]simplify: iters left: 6 (18 enodes) 1538408832.596 * * [misc]simplify: iters left: 5 (28 enodes) 1538408832.602 * * [misc]simplify: iters left: 4 (38 enodes) 1538408832.611 * * [misc]simplify: iters left: 3 (56 enodes) 1538408832.635 * * [misc]simplify: iters left: 2 (95 enodes) 1538408832.657 * * [misc]simplify: iters left: 1 (133 enodes) 1538408832.688 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538408832.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538408832.688 * * * * [misc]progress: [ 139 / 302 ] simplifiying candidate # 1538408832.688 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408832.690 * * [misc]simplify: iters left: 6 (16 enodes) 1538408832.700 * * [misc]simplify: iters left: 5 (24 enodes) 1538408832.709 * * [misc]simplify: iters left: 4 (36 enodes) 1538408832.723 * * [misc]simplify: iters left: 3 (54 enodes) 1538408832.746 * * [misc]simplify: iters left: 2 (93 enodes) 1538408832.776 * * [misc]simplify: iters left: 1 (131 enodes) 1538408832.816 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408832.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408832.816 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408832.817 * * [misc]simplify: iters left: 6 (15 enodes) 1538408832.821 * * [misc]simplify: iters left: 5 (23 enodes) 1538408832.827 * * [misc]simplify: iters left: 4 (35 enodes) 1538408832.834 * * [misc]simplify: iters left: 3 (53 enodes) 1538408832.846 * * [misc]simplify: iters left: 2 (92 enodes) 1538408832.872 * * [misc]simplify: iters left: 1 (130 enodes) 1538408832.914 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408832.915 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408832.915 * * * * [misc]progress: [ 140 / 302 ] simplifiying candidate # 1538408832.915 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408832.916 * * [misc]simplify: iters left: 6 (19 enodes) 1538408832.921 * * [misc]simplify: iters left: 5 (30 enodes) 1538408832.929 * * [misc]simplify: iters left: 4 (44 enodes) 1538408832.938 * * [misc]simplify: iters left: 3 (69 enodes) 1538408832.961 * * [misc]simplify: iters left: 2 (116 enodes) 1538408833.000 * * [misc]simplify: iters left: 1 (156 enodes) 1538408833.036 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408833.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408833.037 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408833.039 * * [misc]simplify: iters left: 6 (18 enodes) 1538408833.048 * * [misc]simplify: iters left: 5 (27 enodes) 1538408833.059 * * [misc]simplify: iters left: 4 (39 enodes) 1538408833.072 * * [misc]simplify: iters left: 3 (57 enodes) 1538408833.084 * * [misc]simplify: iters left: 2 (96 enodes) 1538408833.108 * * [misc]simplify: iters left: 1 (134 enodes) 1538408833.143 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408833.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408833.143 * * * * [misc]progress: [ 141 / 302 ] simplifiying candidate # 1538408833.143 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408833.144 * * [misc]simplify: iters left: 6 (18 enodes) 1538408833.149 * * [misc]simplify: iters left: 5 (27 enodes) 1538408833.160 * * [misc]simplify: iters left: 4 (39 enodes) 1538408833.175 * * [misc]simplify: iters left: 3 (57 enodes) 1538408833.197 * * [misc]simplify: iters left: 2 (96 enodes) 1538408833.214 * * [misc]simplify: iters left: 1 (134 enodes) 1538408833.255 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408833.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408833.255 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408833.257 * * [misc]simplify: iters left: 6 (18 enodes) 1538408833.265 * * [misc]simplify: iters left: 5 (27 enodes) 1538408833.276 * * [misc]simplify: iters left: 4 (39 enodes) 1538408833.291 * * [misc]simplify: iters left: 3 (57 enodes) 1538408833.311 * * [misc]simplify: iters left: 2 (96 enodes) 1538408833.329 * * [misc]simplify: iters left: 1 (134 enodes) 1538408833.373 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538408833.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538408833.373 * * * * [misc]progress: [ 142 / 302 ] simplifiying candidate # 1538408833.373 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1538408833.375 * * [misc]simplify: iters left: 6 (15 enodes) 1538408833.382 * * [misc]simplify: iters left: 5 (25 enodes) 1538408833.392 * * [misc]simplify: iters left: 4 (41 enodes) 1538408833.407 * * [misc]simplify: iters left: 3 (61 enodes) 1538408833.429 * * [misc]simplify: iters left: 2 (99 enodes) 1538408833.461 * * [misc]simplify: iters left: 1 (135 enodes) 1538408833.487 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408833.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408833.488 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408833.489 * * [misc]simplify: iters left: 6 (17 enodes) 1538408833.495 * * [misc]simplify: iters left: 5 (26 enodes) 1538408833.502 * * [misc]simplify: iters left: 4 (38 enodes) 1538408833.516 * * [misc]simplify: iters left: 3 (56 enodes) 1538408833.540 * * [misc]simplify: iters left: 2 (95 enodes) 1538408833.559 * * [misc]simplify: iters left: 1 (133 enodes) 1538408833.591 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408833.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538408833.592 * * * * [misc]progress: [ 143 / 302 ] simplifiying candidate # 1538408833.592 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538408833.594 * * [misc]simplify: iters left: 6 (16 enodes) 1538408833.604 * * [misc]simplify: iters left: 5 (28 enodes) 1538408833.614 * * [misc]simplify: iters left: 4 (40 enodes) 1538408833.630 * * [misc]simplify: iters left: 3 (66 enodes) 1538408833.657 * * [misc]simplify: iters left: 2 (106 enodes) 1538408833.691 * * [misc]simplify: iters left: 1 (147 enodes) 1538408833.743 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1538408833.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408833.743 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408833.745 * * [misc]simplify: iters left: 6 (17 enodes) 1538408833.753 * * [misc]simplify: iters left: 5 (27 enodes) 1538408833.763 * * [misc]simplify: iters left: 4 (37 enodes) 1538408833.777 * * [misc]simplify: iters left: 3 (55 enodes) 1538408833.800 * * [misc]simplify: iters left: 2 (94 enodes) 1538408833.819 * * [misc]simplify: iters left: 1 (132 enodes) 1538408833.844 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408833.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408833.844 * * * * [misc]progress: [ 144 / 302 ] simplifiying candidate # 1538408833.844 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538408833.849 * * [misc]simplify: iters left: 6 (16 enodes) 1538408833.856 * * [misc]simplify: iters left: 5 (28 enodes) 1538408833.866 * * [misc]simplify: iters left: 4 (40 enodes) 1538408833.882 * * [misc]simplify: iters left: 3 (66 enodes) 1538408833.897 * * [misc]simplify: iters left: 2 (106 enodes) 1538408833.921 * * [misc]simplify: iters left: 1 (147 enodes) 1538408833.960 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1538408833.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408833.960 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408833.961 * * [misc]simplify: iters left: 6 (17 enodes) 1538408833.965 * * [misc]simplify: iters left: 5 (27 enodes) 1538408833.971 * * [misc]simplify: iters left: 4 (37 enodes) 1538408833.978 * * [misc]simplify: iters left: 3 (55 enodes) 1538408833.990 * * [misc]simplify: iters left: 2 (94 enodes) 1538408834.020 * * [misc]simplify: iters left: 1 (132 enodes) 1538408834.042 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408834.042 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408834.042 * * * * [misc]progress: [ 145 / 302 ] simplifiying candidate # 1538408834.043 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408834.046 * * [misc]simplify: iters left: 6 (15 enodes) 1538408834.049 * * [misc]simplify: iters left: 5 (25 enodes) 1538408834.054 * * [misc]simplify: iters left: 4 (37 enodes) 1538408834.065 * * [misc]simplify: iters left: 3 (63 enodes) 1538408834.091 * * [misc]simplify: iters left: 2 (103 enodes) 1538408834.118 * * [misc]simplify: iters left: 1 (144 enodes) 1538408834.148 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1538408834.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408834.148 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408834.150 * * [misc]simplify: iters left: 6 (14 enodes) 1538408834.157 * * [misc]simplify: iters left: 5 (22 enodes) 1538408834.166 * * [misc]simplify: iters left: 4 (34 enodes) 1538408834.180 * * [misc]simplify: iters left: 3 (52 enodes) 1538408834.202 * * [misc]simplify: iters left: 2 (91 enodes) 1538408834.234 * * [misc]simplify: iters left: 1 (129 enodes) 1538408834.256 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408834.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408834.256 * * * * [misc]progress: [ 146 / 302 ] simplifiying candidate # 1538408834.256 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408834.257 * * [misc]simplify: iters left: 6 (18 enodes) 1538408834.263 * * [misc]simplify: iters left: 5 (31 enodes) 1538408834.272 * * [misc]simplify: iters left: 4 (45 enodes) 1538408834.292 * * [misc]simplify: iters left: 3 (75 enodes) 1538408834.324 * * [misc]simplify: iters left: 2 (120 enodes) 1538408834.360 * * [misc]simplify: iters left: 1 (161 enodes) 1538408834.417 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408834.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408834.417 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408834.418 * * [misc]simplify: iters left: 6 (17 enodes) 1538408834.422 * * [misc]simplify: iters left: 5 (26 enodes) 1538408834.427 * * [misc]simplify: iters left: 4 (38 enodes) 1538408834.435 * * [misc]simplify: iters left: 3 (56 enodes) 1538408834.454 * * [misc]simplify: iters left: 2 (95 enodes) 1538408834.472 * * [misc]simplify: iters left: 1 (133 enodes) 1538408834.510 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408834.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408834.510 * * * * [misc]progress: [ 147 / 302 ] simplifiying candidate # 1538408834.510 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408834.512 * * [misc]simplify: iters left: 6 (17 enodes) 1538408834.519 * * [misc]simplify: iters left: 5 (28 enodes) 1538408834.529 * * [misc]simplify: iters left: 4 (40 enodes) 1538408834.546 * * [misc]simplify: iters left: 3 (66 enodes) 1538408834.568 * * [misc]simplify: iters left: 2 (106 enodes) 1538408834.588 * * [misc]simplify: iters left: 1 (147 enodes) 1538408834.627 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408834.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408834.627 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408834.629 * * [misc]simplify: iters left: 6 (17 enodes) 1538408834.636 * * [misc]simplify: iters left: 5 (26 enodes) 1538408834.646 * * [misc]simplify: iters left: 4 (38 enodes) 1538408834.661 * * [misc]simplify: iters left: 3 (56 enodes) 1538408834.683 * * [misc]simplify: iters left: 2 (95 enodes) 1538408834.718 * * [misc]simplify: iters left: 1 (133 enodes) 1538408834.767 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408834.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408834.767 * * * * [misc]progress: [ 148 / 302 ] simplifiying candidate # 1538408834.767 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 1)) 1538408834.768 * * [misc]simplify: iters left: 6 (13 enodes) 1538408834.771 * * [misc]simplify: iters left: 5 (21 enodes) 1538408834.775 * * [misc]simplify: iters left: 4 (30 enodes) 1538408834.782 * * [misc]simplify: iters left: 3 (48 enodes) 1538408834.792 * * [misc]simplify: iters left: 2 (86 enodes) 1538408834.812 * * [misc]simplify: iters left: 1 (122 enodes) 1538408834.831 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408834.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408834.832 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408834.835 * * [misc]simplify: iters left: 6 (16 enodes) 1538408834.839 * * [misc]simplify: iters left: 5 (25 enodes) 1538408834.844 * * [misc]simplify: iters left: 4 (37 enodes) 1538408834.852 * * [misc]simplify: iters left: 3 (55 enodes) 1538408834.874 * * [misc]simplify: iters left: 2 (94 enodes) 1538408834.906 * * [misc]simplify: iters left: 1 (132 enodes) 1538408834.949 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408834.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408834.949 * * * * [misc]progress: [ 149 / 302 ] simplifiying candidate # 1538408834.950 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1) 1538408834.951 * * [misc]simplify: iters left: 6 (12 enodes) 1538408834.960 * * [misc]simplify: iters left: 5 (20 enodes) 1538408834.968 * * [misc]simplify: iters left: 4 (31 enodes) 1538408834.981 * * [misc]simplify: iters left: 3 (47 enodes) 1538408835.001 * * [misc]simplify: iters left: 2 (85 enodes) 1538408835.031 * * [misc]simplify: iters left: 1 (121 enodes) 1538408835.072 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408835.072 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408835.073 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408835.074 * * [misc]simplify: iters left: 6 (16 enodes) 1538408835.081 * * [misc]simplify: iters left: 5 (25 enodes) 1538408835.091 * * [misc]simplify: iters left: 4 (37 enodes) 1538408835.108 * * [misc]simplify: iters left: 3 (55 enodes) 1538408835.130 * * [misc]simplify: iters left: 2 (94 enodes) 1538408835.164 * * [misc]simplify: iters left: 1 (132 enodes) 1538408835.191 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408835.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408835.191 * * * * [misc]progress: [ 150 / 302 ] simplifiying candidate # 1538408835.192 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)) 1538408835.193 * * [misc]simplify: iters left: 6 (12 enodes) 1538408835.196 * * [misc]simplify: iters left: 5 (18 enodes) 1538408835.204 * * [misc]simplify: iters left: 4 (27 enodes) 1538408835.216 * * [misc]simplify: iters left: 3 (43 enodes) 1538408835.239 * * [misc]simplify: iters left: 2 (82 enodes) 1538408835.269 * * [misc]simplify: iters left: 1 (120 enodes) 1538408835.308 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538408835.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408835.308 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408835.310 * * [misc]simplify: iters left: 6 (16 enodes) 1538408835.316 * * [misc]simplify: iters left: 5 (27 enodes) 1538408835.322 * * [misc]simplify: iters left: 4 (39 enodes) 1538408835.330 * * [misc]simplify: iters left: 3 (65 enodes) 1538408835.348 * * [misc]simplify: iters left: 2 (105 enodes) 1538408835.372 * * [misc]simplify: iters left: 1 (146 enodes) 1538408835.412 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408835.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1538408835.412 * * * * [misc]progress: [ 151 / 302 ] simplifiying candidate # 1538408835.412 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538408835.413 * * [misc]simplify: iters left: 6 (16 enodes) 1538408835.418 * * [misc]simplify: iters left: 5 (26 enodes) 1538408835.423 * * [misc]simplify: iters left: 4 (38 enodes) 1538408835.431 * * [misc]simplify: iters left: 3 (56 enodes) 1538408835.451 * * [misc]simplify: iters left: 2 (95 enodes) 1538408835.478 * * [misc]simplify: iters left: 1 (133 enodes) 1538408835.501 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) 1538408835.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1538408835.501 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1538408835.503 * * [misc]simplify: iters left: 6 (14 enodes) 1538408835.509 * * [misc]simplify: iters left: 5 (21 enodes) 1538408835.517 * * [misc]simplify: iters left: 4 (30 enodes) 1538408835.528 * * [misc]simplify: iters left: 3 (46 enodes) 1538408835.549 * * [misc]simplify: iters left: 2 (85 enodes) 1538408835.587 * * [misc]simplify: iters left: 1 (123 enodes) 1538408835.621 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1538408835.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1538408835.621 * * * * [misc]progress: [ 152 / 302 ] simplifiying candidate # 1538408835.622 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408835.622 * * [misc]simplify: iters left: 6 (14 enodes) 1538408835.625 * * [misc]simplify: iters left: 5 (21 enodes) 1538408835.629 * * [misc]simplify: iters left: 4 (24 enodes) 1538408835.634 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408835.634 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408835.634 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408835.635 * * [misc]simplify: iters left: 6 (16 enodes) 1538408835.639 * * [misc]simplify: iters left: 5 (23 enodes) 1538408835.643 * * [misc]simplify: iters left: 4 (32 enodes) 1538408835.657 * * [misc]simplify: iters left: 3 (48 enodes) 1538408835.681 * * [misc]simplify: iters left: 2 (89 enodes) 1538408835.714 * * [misc]simplify: iters left: 1 (131 enodes) 1538408835.753 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408835.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408835.754 * * * * [misc]progress: [ 153 / 302 ] simplifiying candidate # 1538408835.754 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408835.755 * * [misc]simplify: iters left: 6 (13 enodes) 1538408835.757 * * [misc]simplify: iters left: 5 (18 enodes) 1538408835.760 * * [misc]simplify: iters left: 4 (21 enodes) 1538408835.764 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408835.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408835.765 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408835.766 * * [misc]simplify: iters left: 6 (16 enodes) 1538408835.770 * * [misc]simplify: iters left: 5 (23 enodes) 1538408835.775 * * [misc]simplify: iters left: 4 (32 enodes) 1538408835.785 * * [misc]simplify: iters left: 3 (48 enodes) 1538408835.802 * * [misc]simplify: iters left: 2 (89 enodes) 1538408835.832 * * [misc]simplify: iters left: 1 (131 enodes) 1538408835.873 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408835.873 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538408835.873 * * * * [misc]progress: [ 154 / 302 ] simplifiying candidate # 1538408835.874 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408835.874 * * [misc]simplify: iters left: 6 (12 enodes) 1538408835.877 * * [misc]simplify: iters left: 5 (20 enodes) 1538408835.881 * * [misc]simplify: iters left: 4 (27 enodes) 1538408835.886 * * [misc]simplify: iters left: 3 (37 enodes) 1538408835.899 * * [misc]simplify: iters left: 2 (64 enodes) 1538408835.925 * * [misc]simplify: iters left: 1 (93 enodes) 1538408835.956 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408835.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408835.956 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408835.958 * * [misc]simplify: iters left: 6 (17 enodes) 1538408835.964 * * [misc]simplify: iters left: 5 (27 enodes) 1538408835.972 * * [misc]simplify: iters left: 4 (37 enodes) 1538408835.985 * * [misc]simplify: iters left: 3 (55 enodes) 1538408836.008 * * [misc]simplify: iters left: 2 (100 enodes) 1538408836.028 * * [misc]simplify: iters left: 1 (150 enodes) 1538408836.100 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538408836.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538408836.100 * * * * [misc]progress: [ 155 / 302 ] simplifiying candidate # 1538408836.100 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538408836.102 * * [misc]simplify: iters left: 6 (12 enodes) 1538408836.107 * * [misc]simplify: iters left: 5 (20 enodes) 1538408836.113 * * [misc]simplify: iters left: 4 (27 enodes) 1538408836.118 * * [misc]simplify: iters left: 3 (37 enodes) 1538408836.127 * * [misc]simplify: iters left: 2 (64 enodes) 1538408836.141 * * [misc]simplify: iters left: 1 (93 enodes) 1538408836.174 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408836.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408836.174 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408836.176 * * [misc]simplify: iters left: 6 (17 enodes) 1538408836.183 * * [misc]simplify: iters left: 5 (27 enodes) 1538408836.193 * * [misc]simplify: iters left: 4 (37 enodes) 1538408836.211 * * [misc]simplify: iters left: 3 (55 enodes) 1538408836.233 * * [misc]simplify: iters left: 2 (100 enodes) 1538408836.270 * * [misc]simplify: iters left: 1 (150 enodes) 1538408836.341 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538408836.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538408836.341 * * * * [misc]progress: [ 156 / 302 ] simplifiying candidate # 1538408836.341 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538408836.343 * * [misc]simplify: iters left: 6 (13 enodes) 1538408836.348 * * [misc]simplify: iters left: 5 (21 enodes) 1538408836.356 * * [misc]simplify: iters left: 4 (31 enodes) 1538408836.369 * * [misc]simplify: iters left: 3 (51 enodes) 1538408836.394 * * [misc]simplify: iters left: 2 (90 enodes) 1538408836.436 * * [misc]simplify: iters left: 1 (181 enodes) 1538408836.547 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408836.547 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408836.547 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408836.548 * * [misc]simplify: iters left: 6 (14 enodes) 1538408836.551 * * [misc]simplify: iters left: 5 (22 enodes) 1538408836.556 * * [misc]simplify: iters left: 4 (34 enodes) 1538408836.563 * * [misc]simplify: iters left: 3 (52 enodes) 1538408836.581 * * [misc]simplify: iters left: 2 (97 enodes) 1538408836.601 * * [misc]simplify: iters left: 1 (148 enodes) 1538408836.635 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538408836.635 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538408836.635 * * * * [misc]progress: [ 157 / 302 ] simplifiying candidate # 1538408836.635 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408836.636 * * [misc]simplify: iters left: 6 (16 enodes) 1538408836.642 * * [misc]simplify: iters left: 5 (29 enodes) 1538408836.650 * * [misc]simplify: iters left: 4 (50 enodes) 1538408836.662 * * [misc]simplify: iters left: 3 (70 enodes) 1538408836.688 * * [misc]simplify: iters left: 2 (169 enodes) 1538408836.837 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538408836.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408836.837 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408836.839 * * [misc]simplify: iters left: 6 (17 enodes) 1538408836.846 * * [misc]simplify: iters left: 5 (26 enodes) 1538408836.856 * * [misc]simplify: iters left: 4 (38 enodes) 1538408836.870 * * [misc]simplify: iters left: 3 (56 enodes) 1538408836.894 * * [misc]simplify: iters left: 2 (101 enodes) 1538408836.932 * * [misc]simplify: iters left: 1 (151 enodes) 1538408836.969 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408836.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408836.969 * * * * [misc]progress: [ 158 / 302 ] simplifiying candidate # 1538408836.970 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408836.971 * * [misc]simplify: iters left: 6 (15 enodes) 1538408836.974 * * [misc]simplify: iters left: 5 (24 enodes) 1538408836.978 * * [misc]simplify: iters left: 4 (34 enodes) 1538408836.985 * * [misc]simplify: iters left: 3 (54 enodes) 1538408837.003 * * [misc]simplify: iters left: 2 (93 enodes) 1538408837.027 * * [misc]simplify: iters left: 1 (182 enodes) 1538408837.142 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538408837.142 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408837.143 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408837.144 * * [misc]simplify: iters left: 6 (17 enodes) 1538408837.152 * * [misc]simplify: iters left: 5 (26 enodes) 1538408837.162 * * [misc]simplify: iters left: 4 (38 enodes) 1538408837.177 * * [misc]simplify: iters left: 3 (56 enodes) 1538408837.201 * * [misc]simplify: iters left: 2 (101 enodes) 1538408837.239 * * [misc]simplify: iters left: 1 (151 enodes) 1538408837.299 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408837.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408837.299 * * * * [misc]progress: [ 159 / 302 ] simplifiying candidate # 1538408837.300 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538408837.300 * * [misc]simplify: iters left: 6 (7 enodes) 1538408837.302 * * [misc]simplify: iters left: 5 (13 enodes) 1538408837.305 * * [misc]simplify: iters left: 4 (22 enodes) 1538408837.308 * * [misc]simplify: iters left: 3 (24 enodes) 1538408837.312 * * [misc]simplify: iters left: 2 (29 enodes) 1538408837.320 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1538408837.320 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408837.321 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408837.322 * * [misc]simplify: iters left: 6 (16 enodes) 1538408837.329 * * [misc]simplify: iters left: 5 (25 enodes) 1538408837.339 * * [misc]simplify: iters left: 4 (37 enodes) 1538408837.353 * * [misc]simplify: iters left: 3 (55 enodes) 1538408837.377 * * [misc]simplify: iters left: 2 (100 enodes) 1538408837.397 * * [misc]simplify: iters left: 1 (150 enodes) 1538408837.454 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408837.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408837.455 * * * * [misc]progress: [ 160 / 302 ] simplifiying candidate # 1538408837.455 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408837.456 * * [misc]simplify: iters left: 6 (11 enodes) 1538408837.466 * * [misc]simplify: iters left: 5 (17 enodes) 1538408837.471 * * [misc]simplify: iters left: 4 (20 enodes) 1538408837.477 * * [misc]simplify: iters left: 3 (22 enodes) 1538408837.486 * * [misc]simplify: iters left: 2 (34 enodes) 1538408837.498 * * [misc]simplify: iters left: 1 (42 enodes) 1538408837.506 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538408837.506 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408837.507 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408837.508 * * [misc]simplify: iters left: 6 (17 enodes) 1538408837.512 * * [misc]simplify: iters left: 5 (27 enodes) 1538408837.517 * * [misc]simplify: iters left: 4 (37 enodes) 1538408837.525 * * [misc]simplify: iters left: 3 (55 enodes) 1538408837.543 * * [misc]simplify: iters left: 2 (100 enodes) 1538408837.583 * * [misc]simplify: iters left: 1 (150 enodes) 1538408837.659 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538408837.659 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538408837.659 * * * * [misc]progress: [ 161 / 302 ] simplifiying candidate # 1538408837.659 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538408837.660 * * [misc]simplify: iters left: 6 (11 enodes) 1538408837.665 * * [misc]simplify: iters left: 5 (17 enodes) 1538408837.670 * * [misc]simplify: iters left: 4 (20 enodes) 1538408837.678 * * [misc]simplify: iters left: 3 (22 enodes) 1538408837.687 * * [misc]simplify: iters left: 2 (34 enodes) 1538408837.697 * * [misc]simplify: iters left: 1 (42 enodes) 1538408837.708 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538408837.708 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408837.708 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538408837.710 * * [misc]simplify: iters left: 6 (17 enodes) 1538408837.717 * * [misc]simplify: iters left: 5 (27 enodes) 1538408837.730 * * [misc]simplify: iters left: 4 (37 enodes) 1538408837.745 * * [misc]simplify: iters left: 3 (55 enodes) 1538408837.768 * * [misc]simplify: iters left: 2 (100 enodes) 1538408837.806 * * [misc]simplify: iters left: 1 (150 enodes) 1538408837.857 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538408837.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538408837.857 * * * * [misc]progress: [ 162 / 302 ] simplifiying candidate # 1538408837.857 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538408837.859 * * [misc]simplify: iters left: 6 (12 enodes) 1538408837.863 * * [misc]simplify: iters left: 5 (18 enodes) 1538408837.870 * * [misc]simplify: iters left: 4 (24 enodes) 1538408837.878 * * [misc]simplify: iters left: 3 (32 enodes) 1538408837.890 * * [misc]simplify: iters left: 2 (41 enodes) 1538408837.902 * * [misc]simplify: iters left: 1 (51 enodes) 1538408837.918 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538408837.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408837.918 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538408837.919 * * [misc]simplify: iters left: 6 (14 enodes) 1538408837.925 * * [misc]simplify: iters left: 5 (22 enodes) 1538408837.934 * * [misc]simplify: iters left: 4 (34 enodes) 1538408837.949 * * [misc]simplify: iters left: 3 (52 enodes) 1538408837.974 * * [misc]simplify: iters left: 2 (97 enodes) 1538408838.013 * * [misc]simplify: iters left: 1 (148 enodes) 1538408838.056 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538408838.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538408838.056 * * * * [misc]progress: [ 163 / 302 ] simplifiying candidate # 1538408838.056 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408838.057 * * [misc]simplify: iters left: 6 (15 enodes) 1538408838.061 * * [misc]simplify: iters left: 5 (24 enodes) 1538408838.065 * * [misc]simplify: iters left: 4 (32 enodes) 1538408838.071 * * [misc]simplify: iters left: 3 (43 enodes) 1538408838.085 * * [misc]simplify: iters left: 2 (69 enodes) 1538408838.114 * * [misc]simplify: iters left: 1 (119 enodes) 1538408838.169 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408838.169 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408838.169 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408838.171 * * [misc]simplify: iters left: 6 (17 enodes) 1538408838.179 * * [misc]simplify: iters left: 5 (26 enodes) 1538408838.184 * * [misc]simplify: iters left: 4 (38 enodes) 1538408838.192 * * [misc]simplify: iters left: 3 (56 enodes) 1538408838.205 * * [misc]simplify: iters left: 2 (101 enodes) 1538408838.237 * * [misc]simplify: iters left: 1 (151 enodes) 1538408838.310 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408838.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408838.310 * * * * [misc]progress: [ 164 / 302 ] simplifiying candidate # 1538408838.310 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408838.312 * * [misc]simplify: iters left: 6 (14 enodes) 1538408838.317 * * [misc]simplify: iters left: 5 (21 enodes) 1538408838.321 * * [misc]simplify: iters left: 4 (27 enodes) 1538408838.326 * * [misc]simplify: iters left: 3 (35 enodes) 1538408838.333 * * [misc]simplify: iters left: 2 (43 enodes) 1538408838.340 * * [misc]simplify: iters left: 1 (56 enodes) 1538408838.357 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538408838.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408838.358 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408838.360 * * [misc]simplify: iters left: 6 (17 enodes) 1538408838.369 * * [misc]simplify: iters left: 5 (26 enodes) 1538408838.379 * * [misc]simplify: iters left: 4 (38 enodes) 1538408838.394 * * [misc]simplify: iters left: 3 (56 enodes) 1538408838.418 * * [misc]simplify: iters left: 2 (101 enodes) 1538408838.438 * * [misc]simplify: iters left: 1 (151 enodes) 1538408838.493 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408838.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408838.493 * * * * [misc]progress: [ 165 / 302 ] simplifiying candidate # 1538408838.494 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1538408838.494 * * [misc]simplify: iters left: 6 (6 enodes) 1538408838.495 * * [misc]simplify: iters left: 5 (10 enodes) 1538408838.498 * * [misc]simplify: iters left: 4 (16 enodes) 1538408838.500 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538408838.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408838.500 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408838.501 * * [misc]simplify: iters left: 6 (16 enodes) 1538408838.505 * * [misc]simplify: iters left: 5 (25 enodes) 1538408838.512 * * [misc]simplify: iters left: 4 (37 enodes) 1538408838.526 * * [misc]simplify: iters left: 3 (55 enodes) 1538408838.550 * * [misc]simplify: iters left: 2 (100 enodes) 1538408838.586 * * [misc]simplify: iters left: 1 (150 enodes) 1538408838.668 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408838.668 * [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))))))) 1538408838.668 * * * * [misc]progress: [ 166 / 302 ] simplifiying candidate # 1538408838.669 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538408838.669 * * [misc]simplify: iters left: 6 (8 enodes) 1538408838.674 * * [misc]simplify: iters left: 5 (14 enodes) 1538408838.678 * * [misc]simplify: iters left: 4 (15 enodes) 1538408838.683 * * [misc]simplify: iters left: 3 (19 enodes) 1538408838.687 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538408838.687 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408838.687 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408838.689 * * [misc]simplify: iters left: 6 (16 enodes) 1538408838.696 * * [misc]simplify: iters left: 5 (26 enodes) 1538408838.705 * * [misc]simplify: iters left: 4 (36 enodes) 1538408838.718 * * [misc]simplify: iters left: 3 (54 enodes) 1538408838.738 * * [misc]simplify: iters left: 2 (99 enodes) 1538408838.772 * * [misc]simplify: iters left: 1 (149 enodes) 1538408838.815 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538408838.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538408838.815 * * * * [misc]progress: [ 167 / 302 ] simplifiying candidate # 1538408838.815 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538408838.816 * * [misc]simplify: iters left: 6 (8 enodes) 1538408838.818 * * [misc]simplify: iters left: 5 (14 enodes) 1538408838.820 * * [misc]simplify: iters left: 4 (15 enodes) 1538408838.823 * * [misc]simplify: iters left: 3 (19 enodes) 1538408838.826 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538408838.826 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408838.826 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408838.827 * * [misc]simplify: iters left: 6 (16 enodes) 1538408838.831 * * [misc]simplify: iters left: 5 (26 enodes) 1538408838.837 * * [misc]simplify: iters left: 4 (36 enodes) 1538408838.855 * * [misc]simplify: iters left: 3 (54 enodes) 1538408838.877 * * [misc]simplify: iters left: 2 (99 enodes) 1538408838.914 * * [misc]simplify: iters left: 1 (149 enodes) 1538408838.969 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538408838.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538408838.969 * * * * [misc]progress: [ 168 / 302 ] simplifiying candidate # 1538408838.972 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1538408838.972 * * [misc]simplify: iters left: 6 (10 enodes) 1538408838.975 * * [misc]simplify: iters left: 5 (16 enodes) 1538408838.978 * * [misc]simplify: iters left: 4 (20 enodes) 1538408838.982 * * [misc]simplify: iters left: 3 (24 enodes) 1538408838.985 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538408838.985 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408838.985 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538408838.986 * * [misc]simplify: iters left: 6 (13 enodes) 1538408838.990 * * [misc]simplify: iters left: 5 (21 enodes) 1538408838.998 * * [misc]simplify: iters left: 4 (33 enodes) 1538408839.011 * * [misc]simplify: iters left: 3 (51 enodes) 1538408839.027 * * [misc]simplify: iters left: 2 (96 enodes) 1538408839.053 * * [misc]simplify: iters left: 1 (147 enodes) 1538408839.124 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))) 1538408839.124 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))))) 1538408839.124 * * * * [misc]progress: [ 169 / 302 ] simplifiying candidate # 1538408839.124 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408839.125 * * [misc]simplify: iters left: 6 (13 enodes) 1538408839.132 * * [misc]simplify: iters left: 5 (22 enodes) 1538408839.140 * * [misc]simplify: iters left: 4 (26 enodes) 1538408839.149 * * [misc]simplify: iters left: 3 (32 enodes) 1538408839.160 * * [misc]simplify: iters left: 2 (34 enodes) 1538408839.170 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408839.170 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408839.170 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408839.172 * * [misc]simplify: iters left: 6 (16 enodes) 1538408839.178 * * [misc]simplify: iters left: 5 (25 enodes) 1538408839.188 * * [misc]simplify: iters left: 4 (37 enodes) 1538408839.203 * * [misc]simplify: iters left: 3 (55 enodes) 1538408839.229 * * [misc]simplify: iters left: 2 (100 enodes) 1538408839.265 * * [misc]simplify: iters left: 1 (150 enodes) 1538408839.336 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538408839.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538408839.336 * * * * [misc]progress: [ 170 / 302 ] simplifiying candidate # 1538408839.337 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408839.338 * * [misc]simplify: iters left: 6 (12 enodes) 1538408839.344 * * [misc]simplify: iters left: 5 (19 enodes) 1538408839.350 * * [misc]simplify: iters left: 4 (23 enodes) 1538408839.363 * * [misc]simplify: iters left: 3 (27 enodes) 1538408839.371 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408839.371 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408839.371 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408839.373 * * [misc]simplify: iters left: 6 (16 enodes) 1538408839.380 * * [misc]simplify: iters left: 5 (25 enodes) 1538408839.390 * * [misc]simplify: iters left: 4 (37 enodes) 1538408839.404 * * [misc]simplify: iters left: 3 (55 enodes) 1538408839.427 * * [misc]simplify: iters left: 2 (100 enodes) 1538408839.450 * * [misc]simplify: iters left: 1 (150 enodes) 1538408839.497 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538408839.497 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538408839.497 * * * * [misc]progress: [ 171 / 302 ] simplifiying candidate # 1538408839.497 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1538408839.498 * * [misc]simplify: iters left: 4 (3 enodes) 1538408839.499 * * [misc]simplify: iters left: 3 (5 enodes) 1538408839.500 * [exit]simplify: Simplified to 1 1538408839.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408839.500 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408839.502 * * [misc]simplify: iters left: 6 (15 enodes) 1538408839.509 * * [misc]simplify: iters left: 5 (24 enodes) 1538408839.519 * * [misc]simplify: iters left: 4 (36 enodes) 1538408839.534 * * [misc]simplify: iters left: 3 (54 enodes) 1538408839.552 * * [misc]simplify: iters left: 2 (99 enodes) 1538408839.575 * * [misc]simplify: iters left: 1 (149 enodes) 1538408839.627 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408839.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408839.627 * * * * [misc]progress: [ 172 / 302 ] simplifiying candidate # 1538408839.628 * [enter]simplify: Simplifying (/ 1 1) 1538408839.628 * * [misc]simplify: iters left: 2 (2 enodes) 1538408839.629 * * [misc]simplify: iters left: 1 (4 enodes) 1538408839.630 * [exit]simplify: Simplified to 1 1538408839.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408839.630 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408839.632 * * [misc]simplify: iters left: 6 (15 enodes) 1538408839.638 * * [misc]simplify: iters left: 5 (24 enodes) 1538408839.647 * * [misc]simplify: iters left: 4 (36 enodes) 1538408839.659 * * [misc]simplify: iters left: 3 (54 enodes) 1538408839.680 * * [misc]simplify: iters left: 2 (99 enodes) 1538408839.715 * * [misc]simplify: iters left: 1 (149 enodes) 1538408839.772 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408839.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408839.772 * * * * [misc]progress: [ 173 / 302 ] simplifiying candidate # 1538408839.773 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1538408839.773 * * [misc]simplify: iters left: 3 (4 enodes) 1538408839.774 * * [misc]simplify: iters left: 2 (6 enodes) 1538408839.776 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1538408839.776 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408839.776 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538408839.777 * * [misc]simplify: iters left: 6 (15 enodes) 1538408839.784 * * [misc]simplify: iters left: 5 (26 enodes) 1538408839.792 * * [misc]simplify: iters left: 4 (37 enodes) 1538408839.810 * * [misc]simplify: iters left: 3 (64 enodes) 1538408839.836 * * [misc]simplify: iters left: 2 (125 enodes) 1538408839.879 * * [misc]simplify: iters left: 1 (198 enodes) 1538408839.977 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408839.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408839.978 * * * * [misc]progress: [ 174 / 302 ] simplifiying candidate # 1538408839.978 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1538408839.979 * * [misc]simplify: iters left: 6 (10 enodes) 1538408839.984 * * [misc]simplify: iters left: 5 (16 enodes) 1538408839.989 * * [misc]simplify: iters left: 4 (19 enodes) 1538408839.995 * * [misc]simplify: iters left: 3 (21 enodes) 1538408840.000 * * [misc]simplify: iters left: 2 (33 enodes) 1538408840.006 * * [misc]simplify: iters left: 1 (41 enodes) 1538408840.011 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1538408840.011 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538408840.011 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538408840.012 * * [misc]simplify: iters left: 6 (13 enodes) 1538408840.015 * * [misc]simplify: iters left: 5 (20 enodes) 1538408840.022 * * [misc]simplify: iters left: 4 (29 enodes) 1538408840.032 * * [misc]simplify: iters left: 3 (45 enodes) 1538408840.052 * * [misc]simplify: iters left: 2 (86 enodes) 1538408840.068 * * [misc]simplify: iters left: 1 (128 enodes) 1538408840.105 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1538408840.105 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1538408840.105 * * * * [misc]progress: [ 175 / 302 ] simplifiying candidate # 1538408840.105 * * * * [misc]progress: [ 176 / 302 ] simplifiying candidate # 1538408840.106 * * * * [misc]progress: [ 177 / 302 ] simplifiying candidate # 1538408840.106 * * * * [misc]progress: [ 178 / 302 ] simplifiying candidate # 1538408840.106 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.107 * * [misc]simplify: iters left: 6 (11 enodes) 1538408840.111 * * [misc]simplify: iters left: 5 (14 enodes) 1538408840.116 * * [misc]simplify: iters left: 4 (17 enodes) 1538408840.122 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.122 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.122 * * * * [misc]progress: [ 179 / 302 ] simplifiying candidate # 1538408840.123 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.124 * * [misc]simplify: iters left: 6 (11 enodes) 1538408840.128 * * [misc]simplify: iters left: 5 (14 enodes) 1538408840.132 * * [misc]simplify: iters left: 4 (17 enodes) 1538408840.138 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.138 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.138 * * * * [misc]progress: [ 180 / 302 ] simplifiying candidate # 1538408840.139 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408840.140 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.144 * * [misc]simplify: iters left: 5 (13 enodes) 1538408840.148 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408840.148 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408840.148 * * * * [misc]progress: [ 181 / 302 ] simplifiying candidate # 1538408840.148 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408840.151 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.153 * * [misc]simplify: iters left: 5 (13 enodes) 1538408840.156 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408840.156 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408840.156 * * * * [misc]progress: [ 182 / 302 ] simplifiying candidate # 1538408840.156 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408840.156 * * [misc]simplify: iters left: 6 (9 enodes) 1538408840.158 * * [misc]simplify: iters left: 5 (11 enodes) 1538408840.160 * * [misc]simplify: iters left: 4 (14 enodes) 1538408840.162 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408840.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538408840.163 * * * * [misc]progress: [ 183 / 302 ] simplifiying candidate # 1538408840.163 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.163 * * [misc]simplify: iters left: 6 (12 enodes) 1538408840.166 * * [misc]simplify: iters left: 5 (15 enodes) 1538408840.168 * * [misc]simplify: iters left: 4 (18 enodes) 1538408840.172 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.172 * * * * [misc]progress: [ 184 / 302 ] simplifiying candidate # 1538408840.172 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.173 * * [misc]simplify: iters left: 6 (12 enodes) 1538408840.175 * * [misc]simplify: iters left: 5 (15 enodes) 1538408840.178 * * [misc]simplify: iters left: 4 (18 enodes) 1538408840.181 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.181 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.181 * * * * [misc]progress: [ 185 / 302 ] simplifiying candidate # 1538408840.182 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.182 * * [misc]simplify: iters left: 6 (11 enodes) 1538408840.184 * * [misc]simplify: iters left: 5 (14 enodes) 1538408840.187 * * [misc]simplify: iters left: 4 (17 enodes) 1538408840.190 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408840.190 * * * * [misc]progress: [ 186 / 302 ] simplifiying candidate # 1538408840.190 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408840.191 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.193 * * [misc]simplify: iters left: 5 (13 enodes) 1538408840.195 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408840.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408840.196 * * * * [misc]progress: [ 187 / 302 ] simplifiying candidate # 1538408840.196 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408840.197 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.201 * * [misc]simplify: iters left: 5 (13 enodes) 1538408840.205 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408840.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538408840.206 * * * * [misc]progress: [ 188 / 302 ] simplifiying candidate # 1538408840.207 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408840.208 * * [misc]simplify: iters left: 6 (9 enodes) 1538408840.212 * * [misc]simplify: iters left: 5 (11 enodes) 1538408840.216 * * [misc]simplify: iters left: 4 (14 enodes) 1538408840.221 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408840.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538408840.221 * * * * [misc]progress: [ 189 / 302 ] simplifiying candidate # 1538408840.221 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.222 * * [misc]simplify: iters left: 6 (12 enodes) 1538408840.227 * * [misc]simplify: iters left: 5 (15 enodes) 1538408840.232 * * [misc]simplify: iters left: 4 (18 enodes) 1538408840.238 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.239 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.239 * * * * [misc]progress: [ 190 / 302 ] simplifiying candidate # 1538408840.239 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.240 * * [misc]simplify: iters left: 6 (12 enodes) 1538408840.245 * * [misc]simplify: iters left: 5 (15 enodes) 1538408840.254 * * [misc]simplify: iters left: 4 (18 enodes) 1538408840.261 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.261 * * * * [misc]progress: [ 191 / 302 ] simplifiying candidate # 1538408840.261 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.262 * * [misc]simplify: iters left: 6 (11 enodes) 1538408840.266 * * [misc]simplify: iters left: 5 (14 enodes) 1538408840.271 * * [misc]simplify: iters left: 4 (17 enodes) 1538408840.278 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408840.278 * * * * [misc]progress: [ 192 / 302 ] simplifiying candidate # 1538408840.278 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408840.279 * * [misc]simplify: iters left: 6 (9 enodes) 1538408840.283 * * [misc]simplify: iters left: 5 (12 enodes) 1538408840.288 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408840.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538408840.288 * * * * [misc]progress: [ 193 / 302 ] simplifiying candidate # 1538408840.288 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408840.289 * * [misc]simplify: iters left: 6 (9 enodes) 1538408840.292 * * [misc]simplify: iters left: 5 (12 enodes) 1538408840.297 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408840.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538408840.297 * * * * [misc]progress: [ 194 / 302 ] simplifiying candidate # 1538408840.297 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408840.298 * * [misc]simplify: iters left: 6 (8 enodes) 1538408840.301 * * [misc]simplify: iters left: 5 (10 enodes) 1538408840.305 * * [misc]simplify: iters left: 4 (13 enodes) 1538408840.309 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408840.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1538408840.309 * * * * [misc]progress: [ 195 / 302 ] simplifiying candidate # 1538408840.310 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.311 * * [misc]simplify: iters left: 6 (11 enodes) 1538408840.315 * * [misc]simplify: iters left: 5 (14 enodes) 1538408840.320 * * [misc]simplify: iters left: 4 (17 enodes) 1538408840.326 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.326 * * * * [misc]progress: [ 196 / 302 ] simplifiying candidate # 1538408840.327 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.328 * * [misc]simplify: iters left: 6 (11 enodes) 1538408840.332 * * [misc]simplify: iters left: 5 (14 enodes) 1538408840.336 * * [misc]simplify: iters left: 4 (17 enodes) 1538408840.342 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408840.343 * * * * [misc]progress: [ 197 / 302 ] simplifiying candidate # 1538408840.343 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.344 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.348 * * [misc]simplify: iters left: 5 (13 enodes) 1538408840.353 * * [misc]simplify: iters left: 4 (16 enodes) 1538408840.359 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.359 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408840.359 * * * * [misc]progress: [ 198 / 302 ] simplifiying candidate # 1538408840.359 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.360 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.364 * * [misc]simplify: iters left: 5 (13 enodes) 1538408840.370 * * [misc]simplify: iters left: 4 (16 enodes) 1538408840.376 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408840.376 * * * * [misc]progress: [ 199 / 302 ] simplifiying candidate # 1538408840.376 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1538408840.377 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.382 * * [misc]simplify: iters left: 5 (15 enodes) 1538408840.387 * * [misc]simplify: iters left: 4 (18 enodes) 1538408840.392 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1538408840.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538408840.393 * * * * [misc]progress: [ 200 / 302 ] simplifiying candidate # 1538408840.393 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408840.395 * * [misc]simplify: iters left: 3 (6 enodes) 1538408840.398 * * [misc]simplify: iters left: 2 (7 enodes) 1538408840.400 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408840.400 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1538408840.400 * * * * [misc]progress: [ 201 / 302 ] simplifiying candidate # 1538408840.400 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538408840.400 * * [misc]simplify: iters left: 4 (5 enodes) 1538408840.401 * * [misc]simplify: iters left: 3 (9 enodes) 1538408840.403 * * [misc]simplify: iters left: 2 (11 enodes) 1538408840.405 * * [misc]simplify: iters left: 1 (13 enodes) 1538408840.407 * [exit]simplify: Simplified to (sqrt PI) 1538408840.407 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1538408840.407 * * * * [misc]progress: [ 202 / 302 ] simplifiying candidate # 1538408840.407 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538408840.407 * * [misc]simplify: iters left: 4 (5 enodes) 1538408840.409 * * [misc]simplify: iters left: 3 (9 enodes) 1538408840.410 * * [misc]simplify: iters left: 2 (11 enodes) 1538408840.413 * * [misc]simplify: iters left: 1 (13 enodes) 1538408840.417 * [exit]simplify: Simplified to (sqrt PI) 1538408840.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1538408840.417 * * * * [misc]progress: [ 203 / 302 ] simplifiying candidate # 1538408840.417 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538408840.418 * * [misc]simplify: iters left: 4 (5 enodes) 1538408840.421 * * [misc]simplify: iters left: 3 (8 enodes) 1538408840.424 * * [misc]simplify: iters left: 2 (9 enodes) 1538408840.428 * * [misc]simplify: iters left: 1 (12 enodes) 1538408840.432 * [exit]simplify: Simplified to (sqrt PI) 1538408840.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1538408840.432 * * * * [misc]progress: [ 204 / 302 ] simplifiying candidate # 1538408840.432 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538408840.433 * * [misc]simplify: iters left: 4 (5 enodes) 1538408840.434 * * [misc]simplify: iters left: 3 (8 enodes) 1538408840.436 * * [misc]simplify: iters left: 2 (9 enodes) 1538408840.438 * * [misc]simplify: iters left: 1 (12 enodes) 1538408840.440 * [exit]simplify: Simplified to (sqrt PI) 1538408840.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1538408840.440 * * * * [misc]progress: [ 205 / 302 ] simplifiying candidate # 1538408840.440 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1538408840.441 * * [misc]simplify: iters left: 6 (11 enodes) 1538408840.444 * * [misc]simplify: iters left: 5 (17 enodes) 1538408840.447 * * [misc]simplify: iters left: 4 (26 enodes) 1538408840.453 * * [misc]simplify: iters left: 3 (42 enodes) 1538408840.464 * * [misc]simplify: iters left: 2 (81 enodes) 1538408840.485 * * [misc]simplify: iters left: 1 (119 enodes) 1538408840.514 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408840.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538408840.514 * * * * [misc]progress: [ 206 / 302 ] simplifiying candidate # 1538408840.514 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1538408840.515 * * [misc]simplify: iters left: 6 (10 enodes) 1538408840.517 * * [misc]simplify: iters left: 5 (16 enodes) 1538408840.521 * * [misc]simplify: iters left: 4 (25 enodes) 1538408840.526 * * [misc]simplify: iters left: 3 (41 enodes) 1538408840.542 * * [misc]simplify: iters left: 2 (80 enodes) 1538408840.557 * * [misc]simplify: iters left: 1 (118 enodes) 1538408840.581 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408840.581 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538408840.581 * * * * [misc]progress: [ 207 / 302 ] simplifiying candidate # 1538408840.581 * * * * [misc]progress: [ 208 / 302 ] simplifiying candidate # 1538408840.582 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538408840.586 * * [misc]simplify: iters left: 5 (8 enodes) 1538408840.589 * * [misc]simplify: iters left: 4 (11 enodes) 1538408840.593 * * [misc]simplify: iters left: 3 (14 enodes) 1538408840.598 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538408840.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538408840.599 * * * * [misc]progress: [ 209 / 302 ] simplifiying candidate # 1538408840.599 * * * * [misc]progress: [ 210 / 302 ] simplifiying candidate # 1538408840.599 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538408840.600 * * [misc]simplify: iters left: 6 (12 enodes) 1538408840.608 * * [misc]simplify: iters left: 5 (21 enodes) 1538408840.617 * * [misc]simplify: iters left: 4 (44 enodes) 1538408840.634 * * [misc]simplify: iters left: 3 (125 enodes) 1538408840.703 * * [misc]simplify: iters left: 2 (343 enodes) 1538408840.958 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538408840.958 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538408840.958 * * * * [misc]progress: [ 211 / 302 ] simplifiying candidate # 1538408840.958 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538408840.960 * * [misc]simplify: iters left: 6 (12 enodes) 1538408840.966 * * [misc]simplify: iters left: 5 (21 enodes) 1538408840.975 * * [misc]simplify: iters left: 4 (44 enodes) 1538408841.000 * * [misc]simplify: iters left: 3 (125 enodes) 1538408841.066 * * [misc]simplify: iters left: 2 (343 enodes) 1538408841.311 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538408841.311 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538408841.311 * * * * [misc]progress: [ 212 / 302 ] simplifiying candidate # 1538408841.311 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1538408841.312 * * [misc]simplify: iters left: 6 (12 enodes) 1538408841.314 * * [misc]simplify: iters left: 5 (19 enodes) 1538408841.319 * * [misc]simplify: iters left: 4 (32 enodes) 1538408841.328 * * [misc]simplify: iters left: 3 (67 enodes) 1538408841.363 * * [misc]simplify: iters left: 2 (194 enodes) 1538408841.513 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538408841.513 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538408841.513 * * * * [misc]progress: [ 213 / 302 ] simplifiying candidate # 1538408841.513 * * * * [misc]progress: [ 214 / 302 ] simplifiying candidate # 1538408841.513 * * * * [misc]progress: [ 215 / 302 ] simplifiying candidate # 1538408841.514 * [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))))) 1538408841.515 * * [misc]simplify: iters left: 6 (14 enodes) 1538408841.526 * * [misc]simplify: iters left: 5 (26 enodes) 1538408841.539 * * [misc]simplify: iters left: 4 (58 enodes) 1538408841.571 * * [misc]simplify: iters left: 3 (117 enodes) 1538408841.626 * * [misc]simplify: iters left: 2 (193 enodes) 1538408841.719 * * [misc]simplify: iters left: 1 (263 enodes) 1538408841.892 * [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))))) 1538408841.892 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408841.892 * * * * [misc]progress: [ 216 / 302 ] simplifiying candidate # 1538408841.892 * * * * [misc]progress: [ 217 / 302 ] simplifiying candidate # 1538408841.892 * * * * [misc]progress: [ 218 / 302 ] simplifiying candidate # 1538408841.893 * * * * [misc]progress: [ 219 / 302 ] simplifiying candidate # 1538408841.893 * * * * [misc]progress: [ 220 / 302 ] simplifiying candidate # 1538408841.893 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538408841.894 * * [misc]simplify: iters left: 6 (10 enodes) 1538408841.897 * * [misc]simplify: iters left: 5 (14 enodes) 1538408841.899 * * [misc]simplify: iters left: 4 (16 enodes) 1538408841.901 * * [misc]simplify: iters left: 3 (17 enodes) 1538408841.905 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538408841.905 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408841.905 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408841.905 * * [misc]simplify: iters left: 6 (10 enodes) 1538408841.907 * * [misc]simplify: iters left: 5 (13 enodes) 1538408841.910 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408841.910 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408841.910 * * * * [misc]progress: [ 221 / 302 ] simplifiying candidate # 1538408841.910 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538408841.911 * * [misc]simplify: iters left: 6 (10 enodes) 1538408841.913 * * [misc]simplify: iters left: 5 (14 enodes) 1538408841.915 * * [misc]simplify: iters left: 4 (16 enodes) 1538408841.917 * * [misc]simplify: iters left: 3 (17 enodes) 1538408841.921 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538408841.921 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408841.921 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408841.922 * * [misc]simplify: iters left: 6 (10 enodes) 1538408841.923 * * [misc]simplify: iters left: 5 (13 enodes) 1538408841.926 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408841.926 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408841.926 * * * * [misc]progress: [ 222 / 302 ] simplifiying candidate # 1538408841.926 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408841.927 * * [misc]simplify: iters left: 6 (11 enodes) 1538408841.930 * * [misc]simplify: iters left: 5 (15 enodes) 1538408841.936 * * [misc]simplify: iters left: 4 (20 enodes) 1538408841.941 * * [misc]simplify: iters left: 3 (21 enodes) 1538408841.944 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538408841.944 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408841.945 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408841.945 * * [misc]simplify: iters left: 6 (9 enodes) 1538408841.947 * * [misc]simplify: iters left: 5 (11 enodes) 1538408841.949 * * [misc]simplify: iters left: 4 (14 enodes) 1538408841.951 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408841.951 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408841.952 * * * * [misc]progress: [ 223 / 302 ] simplifiying candidate # 1538408841.952 * [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)))))) 1538408841.954 * * [misc]simplify: iters left: 6 (14 enodes) 1538408841.957 * * [misc]simplify: iters left: 5 (23 enodes) 1538408841.963 * * [misc]simplify: iters left: 4 (35 enodes) 1538408841.968 * * [misc]simplify: iters left: 3 (38 enodes) 1538408841.977 * * [misc]simplify: iters left: 2 (41 enodes) 1538408841.989 * [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)))))) 1538408841.989 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408841.989 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408841.990 * * [misc]simplify: iters left: 6 (12 enodes) 1538408841.993 * * [misc]simplify: iters left: 5 (15 enodes) 1538408841.995 * * [misc]simplify: iters left: 4 (18 enodes) 1538408841.999 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408841.999 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408841.999 * * * * [misc]progress: [ 224 / 302 ] simplifiying candidate # 1538408841.999 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.000 * * [misc]simplify: iters left: 6 (13 enodes) 1538408842.002 * * [misc]simplify: iters left: 5 (18 enodes) 1538408842.006 * * [misc]simplify: iters left: 4 (23 enodes) 1538408842.009 * * [misc]simplify: iters left: 3 (24 enodes) 1538408842.014 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.014 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.014 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.015 * * [misc]simplify: iters left: 6 (12 enodes) 1538408842.017 * * [misc]simplify: iters left: 5 (15 enodes) 1538408842.020 * * [misc]simplify: iters left: 4 (18 enodes) 1538408842.026 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.026 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.026 * * * * [misc]progress: [ 225 / 302 ] simplifiying candidate # 1538408842.026 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1538408842.027 * * [misc]simplify: iters left: 6 (6 enodes) 1538408842.029 * * [misc]simplify: iters left: 5 (10 enodes) 1538408842.034 * * [misc]simplify: iters left: 4 (16 enodes) 1538408842.040 * * [misc]simplify: iters left: 3 (18 enodes) 1538408842.045 * * [misc]simplify: iters left: 2 (23 enodes) 1538408842.051 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538408842.051 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.052 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.053 * * [misc]simplify: iters left: 6 (11 enodes) 1538408842.057 * * [misc]simplify: iters left: 5 (14 enodes) 1538408842.062 * * [misc]simplify: iters left: 4 (17 enodes) 1538408842.068 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.068 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.068 * * * * [misc]progress: [ 226 / 302 ] simplifiying candidate # 1538408842.068 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538408842.069 * * [misc]simplify: iters left: 5 (9 enodes) 1538408842.072 * * [misc]simplify: iters left: 4 (11 enodes) 1538408842.076 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538408842.076 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408842.076 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408842.077 * * [misc]simplify: iters left: 6 (10 enodes) 1538408842.081 * * [misc]simplify: iters left: 5 (13 enodes) 1538408842.086 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408842.086 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408842.086 * * * * [misc]progress: [ 227 / 302 ] simplifiying candidate # 1538408842.086 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538408842.087 * * [misc]simplify: iters left: 5 (9 enodes) 1538408842.090 * * [misc]simplify: iters left: 4 (11 enodes) 1538408842.094 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538408842.094 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538408842.094 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408842.095 * * [misc]simplify: iters left: 6 (10 enodes) 1538408842.099 * * [misc]simplify: iters left: 5 (13 enodes) 1538408842.103 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408842.103 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408842.103 * * * * [misc]progress: [ 228 / 302 ] simplifiying candidate # 1538408842.104 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538408842.104 * * [misc]simplify: iters left: 6 (10 enodes) 1538408842.106 * * [misc]simplify: iters left: 5 (12 enodes) 1538408842.108 * * [misc]simplify: iters left: 4 (15 enodes) 1538408842.111 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538408842.111 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408842.111 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408842.111 * * [misc]simplify: iters left: 6 (9 enodes) 1538408842.113 * * [misc]simplify: iters left: 5 (11 enodes) 1538408842.115 * * [misc]simplify: iters left: 4 (14 enodes) 1538408842.118 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538408842.118 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538408842.118 * * * * [misc]progress: [ 229 / 302 ] simplifiying candidate # 1538408842.118 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408842.119 * * [misc]simplify: iters left: 6 (13 enodes) 1538408842.121 * * [misc]simplify: iters left: 5 (18 enodes) 1538408842.124 * * [misc]simplify: iters left: 4 (21 enodes) 1538408842.128 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408842.128 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.128 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.129 * * [misc]simplify: iters left: 6 (12 enodes) 1538408842.131 * * [misc]simplify: iters left: 5 (15 enodes) 1538408842.134 * * [misc]simplify: iters left: 4 (18 enodes) 1538408842.137 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.137 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.137 * * * * [misc]progress: [ 230 / 302 ] simplifiying candidate # 1538408842.137 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.138 * * [misc]simplify: iters left: 6 (12 enodes) 1538408842.142 * * [misc]simplify: iters left: 5 (15 enodes) 1538408842.145 * * [misc]simplify: iters left: 4 (18 enodes) 1538408842.148 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.148 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.148 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.149 * * [misc]simplify: iters left: 6 (12 enodes) 1538408842.151 * * [misc]simplify: iters left: 5 (15 enodes) 1538408842.153 * * [misc]simplify: iters left: 4 (18 enodes) 1538408842.157 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.157 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.157 * * * * [misc]progress: [ 231 / 302 ] simplifiying candidate # 1538408842.157 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1538408842.157 * * [misc]simplify: iters left: 4 (5 enodes) 1538408842.158 * * [misc]simplify: iters left: 3 (7 enodes) 1538408842.160 * * [misc]simplify: iters left: 2 (9 enodes) 1538408842.161 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538408842.161 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.161 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.161 * * [misc]simplify: iters left: 6 (11 enodes) 1538408842.163 * * [misc]simplify: iters left: 5 (14 enodes) 1538408842.166 * * [misc]simplify: iters left: 4 (17 enodes) 1538408842.169 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.169 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.169 * * * * [misc]progress: [ 232 / 302 ] simplifiying candidate # 1538408842.169 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538408842.170 * * [misc]simplify: iters left: 5 (7 enodes) 1538408842.171 * * [misc]simplify: iters left: 4 (11 enodes) 1538408842.174 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538408842.174 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408842.174 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408842.175 * * [misc]simplify: iters left: 6 (9 enodes) 1538408842.178 * * [misc]simplify: iters left: 5 (12 enodes) 1538408842.183 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408842.183 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408842.183 * * * * [misc]progress: [ 233 / 302 ] simplifiying candidate # 1538408842.183 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538408842.184 * * [misc]simplify: iters left: 5 (7 enodes) 1538408842.186 * * [misc]simplify: iters left: 4 (11 enodes) 1538408842.190 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538408842.190 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408842.190 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408842.191 * * [misc]simplify: iters left: 6 (9 enodes) 1538408842.194 * * [misc]simplify: iters left: 5 (12 enodes) 1538408842.199 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408842.199 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408842.199 * * * * [misc]progress: [ 234 / 302 ] simplifiying candidate # 1538408842.199 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1538408842.200 * * [misc]simplify: iters left: 6 (9 enodes) 1538408842.203 * * [misc]simplify: iters left: 5 (13 enodes) 1538408842.207 * * [misc]simplify: iters left: 4 (16 enodes) 1538408842.210 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1538408842.210 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408842.210 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408842.211 * * [misc]simplify: iters left: 6 (8 enodes) 1538408842.212 * * [misc]simplify: iters left: 5 (10 enodes) 1538408842.214 * * [misc]simplify: iters left: 4 (13 enodes) 1538408842.216 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538408842.216 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538408842.216 * * * * [misc]progress: [ 235 / 302 ] simplifiying candidate # 1538408842.217 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408842.217 * * [misc]simplify: iters left: 6 (12 enodes) 1538408842.220 * * [misc]simplify: iters left: 5 (19 enodes) 1538408842.223 * * [misc]simplify: iters left: 4 (22 enodes) 1538408842.227 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408842.227 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.227 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.228 * * [misc]simplify: iters left: 6 (11 enodes) 1538408842.232 * * [misc]simplify: iters left: 5 (14 enodes) 1538408842.234 * * [misc]simplify: iters left: 4 (17 enodes) 1538408842.237 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.237 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.237 * * * * [misc]progress: [ 236 / 302 ] simplifiying candidate # 1538408842.237 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.238 * * [misc]simplify: iters left: 6 (11 enodes) 1538408842.240 * * [misc]simplify: iters left: 5 (16 enodes) 1538408842.242 * * [misc]simplify: iters left: 4 (19 enodes) 1538408842.245 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538408842.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.246 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.246 * * [misc]simplify: iters left: 6 (11 enodes) 1538408842.248 * * [misc]simplify: iters left: 5 (14 enodes) 1538408842.251 * * [misc]simplify: iters left: 4 (17 enodes) 1538408842.254 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538408842.254 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538408842.254 * * * * [misc]progress: [ 237 / 302 ] simplifiying candidate # 1538408842.254 * [enter]simplify: Simplifying (/ 1 1) 1538408842.254 * * [misc]simplify: iters left: 2 (2 enodes) 1538408842.254 * * [misc]simplify: iters left: 1 (4 enodes) 1538408842.255 * [exit]simplify: Simplified to 1 1538408842.255 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.255 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.255 * * [misc]simplify: iters left: 6 (10 enodes) 1538408842.257 * * [misc]simplify: iters left: 5 (13 enodes) 1538408842.260 * * [misc]simplify: iters left: 4 (16 enodes) 1538408842.262 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.262 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.262 * * * * [misc]progress: [ 238 / 302 ] simplifiying candidate # 1538408842.262 * * * * [misc]progress: [ 239 / 302 ] simplifiying candidate # 1538408842.262 * * * * [misc]progress: [ 240 / 302 ] simplifiying candidate # 1538408842.262 * * * * [misc]progress: [ 241 / 302 ] simplifiying candidate # 1538408842.263 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408842.263 * * [misc]simplify: iters left: 5 (7 enodes) 1538408842.264 * * [misc]simplify: iters left: 4 (10 enodes) 1538408842.266 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408842.266 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538408842.266 * * * * [misc]progress: [ 242 / 302 ] simplifiying candidate # 1538408842.266 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408842.267 * * [misc]simplify: iters left: 5 (7 enodes) 1538408842.268 * * [misc]simplify: iters left: 4 (10 enodes) 1538408842.270 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408842.270 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538408842.270 * * * * [misc]progress: [ 243 / 302 ] simplifiying candidate # 1538408842.270 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1538408842.270 * * [misc]simplify: iters left: 5 (6 enodes) 1538408842.271 * * [misc]simplify: iters left: 4 (8 enodes) 1538408842.273 * * [misc]simplify: iters left: 3 (11 enodes) 1538408842.275 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1538408842.275 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1538408842.275 * * * * [misc]progress: [ 244 / 302 ] simplifiying candidate # 1538408842.275 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.276 * * [misc]simplify: iters left: 6 (9 enodes) 1538408842.277 * * [misc]simplify: iters left: 5 (12 enodes) 1538408842.279 * * [misc]simplify: iters left: 4 (15 enodes) 1538408842.282 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.282 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.282 * * * * [misc]progress: [ 245 / 302 ] simplifiying candidate # 1538408842.282 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.283 * * [misc]simplify: iters left: 6 (9 enodes) 1538408842.284 * * [misc]simplify: iters left: 5 (12 enodes) 1538408842.286 * * [misc]simplify: iters left: 4 (15 enodes) 1538408842.289 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538408842.289 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538408842.289 * * * * [misc]progress: [ 246 / 302 ] simplifiying candidate # 1538408842.289 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538408842.290 * * [misc]simplify: iters left: 5 (8 enodes) 1538408842.291 * * [misc]simplify: iters left: 4 (11 enodes) 1538408842.293 * * [misc]simplify: iters left: 3 (14 enodes) 1538408842.295 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538408842.295 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408842.295 * * * * [misc]progress: [ 247 / 302 ] simplifiying candidate # 1538408842.296 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538408842.296 * * [misc]simplify: iters left: 4 (4 enodes) 1538408842.297 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538408842.297 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538408842.297 * * * * [misc]progress: [ 248 / 302 ] simplifiying candidate # 1538408842.297 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538408842.297 * * [misc]simplify: iters left: 2 (3 enodes) 1538408842.298 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538408842.298 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538408842.298 * * * * [misc]progress: [ 249 / 302 ] simplifiying candidate # 1538408842.298 * * * * [misc]progress: [ 250 / 302 ] simplifiying candidate # 1538408842.298 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408842.298 * * [misc]simplify: iters left: 3 (6 enodes) 1538408842.299 * * [misc]simplify: iters left: 2 (7 enodes) 1538408842.300 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408842.300 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1538408842.300 * * * * [misc]progress: [ 251 / 302 ] simplifiying candidate # 1538408842.300 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1538408842.302 * * [misc]simplify: iters left: 6 (9 enodes) 1538408842.306 * * [misc]simplify: iters left: 5 (16 enodes) 1538408842.314 * * [misc]simplify: iters left: 4 (32 enodes) 1538408842.326 * * [misc]simplify: iters left: 3 (68 enodes) 1538408842.351 * * [misc]simplify: iters left: 2 (171 enodes) 1538408842.450 * * [misc]simplify: iters left: 1 (342 enodes) 1538408842.634 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1538408842.634 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538408842.634 * * * * [misc]progress: [ 252 / 302 ] simplifiying candidate # 1538408842.634 * * * * [misc]progress: [ 253 / 302 ] simplifiying candidate # 1538408842.635 * [enter]simplify: Simplifying (* n 2) 1538408842.635 * * [misc]simplify: iters left: 2 (3 enodes) 1538408842.635 * * [misc]simplify: iters left: 1 (4 enodes) 1538408842.636 * [exit]simplify: Simplified to (* n 2) 1538408842.636 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1538408842.636 * * * * [misc]progress: [ 254 / 302 ] simplifiying candidate # 1538408842.637 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408842.637 * * [misc]simplify: iters left: 3 (6 enodes) 1538408842.638 * * [misc]simplify: iters left: 2 (7 enodes) 1538408842.640 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408842.640 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1538408842.640 * * * * [misc]progress: [ 255 / 302 ] simplifiying candidate # 1538408842.640 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538408842.640 * * [misc]simplify: iters left: 5 (6 enodes) 1538408842.643 * * [misc]simplify: iters left: 4 (8 enodes) 1538408842.646 * * [misc]simplify: iters left: 3 (11 enodes) 1538408842.648 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538408842.648 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1538408842.648 * * * * [misc]progress: [ 256 / 302 ] simplifiying candidate # 1538408842.649 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538408842.649 * * [misc]simplify: iters left: 5 (6 enodes) 1538408842.650 * * [misc]simplify: iters left: 4 (8 enodes) 1538408842.651 * * [misc]simplify: iters left: 3 (11 enodes) 1538408842.653 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538408842.653 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1538408842.653 * * * * [misc]progress: [ 257 / 302 ] simplifiying candidate # 1538408842.654 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538408842.654 * * [misc]simplify: iters left: 4 (5 enodes) 1538408842.655 * * [misc]simplify: iters left: 3 (7 enodes) 1538408842.656 * * [misc]simplify: iters left: 2 (10 enodes) 1538408842.658 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538408842.658 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1538408842.658 * * * * [misc]progress: [ 258 / 302 ] simplifiying candidate # 1538408842.658 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408842.658 * * [misc]simplify: iters left: 5 (7 enodes) 1538408842.660 * * [misc]simplify: iters left: 4 (10 enodes) 1538408842.662 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408842.662 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538408842.662 * * * * [misc]progress: [ 259 / 302 ] simplifiying candidate # 1538408842.662 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408842.662 * * [misc]simplify: iters left: 5 (7 enodes) 1538408842.664 * * [misc]simplify: iters left: 4 (10 enodes) 1538408842.665 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408842.665 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538408842.665 * * * * [misc]progress: [ 260 / 302 ] simplifiying candidate # 1538408842.666 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538408842.666 * * [misc]simplify: iters left: 5 (7 enodes) 1538408842.667 * * [misc]simplify: iters left: 4 (9 enodes) 1538408842.670 * * [misc]simplify: iters left: 3 (12 enodes) 1538408842.674 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538408842.674 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1538408842.674 * * * * [misc]progress: [ 261 / 302 ] simplifiying candidate # 1538408842.675 * * * * [misc]progress: [ 262 / 302 ] simplifiying candidate # 1538408842.675 * * * * [misc]progress: [ 263 / 302 ] simplifiying candidate # 1538408842.675 * * * * [misc]progress: [ 264 / 302 ] simplifiying candidate # 1538408842.675 * * * * [misc]progress: [ 265 / 302 ] simplifiying candidate # 1538408842.675 * * * * [misc]progress: [ 266 / 302 ] simplifiying candidate # 1538408842.675 * * * * [misc]progress: [ 267 / 302 ] simplifiying candidate # 1538408842.675 * * * * [misc]progress: [ 268 / 302 ] simplifiying candidate # 1538408842.676 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1538408842.676 * * [misc]simplify: iters left: 6 (8 enodes) 1538408842.679 * * [misc]simplify: iters left: 5 (11 enodes) 1538408842.684 * * [misc]simplify: iters left: 4 (20 enodes) 1538408842.692 * * [misc]simplify: iters left: 3 (30 enodes) 1538408842.704 * * [misc]simplify: iters left: 2 (45 enodes) 1538408842.719 * * [misc]simplify: iters left: 1 (53 enodes) 1538408842.738 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1538408842.738 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408842.738 * * * * [misc]progress: [ 269 / 302 ] simplifiying candidate # 1538408842.738 * * * * [misc]progress: [ 270 / 302 ] simplifiying candidate # 1538408842.738 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1538408842.738 * * [misc]simplify: iters left: 6 (10 enodes) 1538408842.740 * * [misc]simplify: iters left: 5 (13 enodes) 1538408842.743 * * [misc]simplify: iters left: 4 (16 enodes) 1538408842.746 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1538408842.746 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408842.746 * * * * [misc]progress: [ 271 / 302 ] simplifiying candidate # 1538408842.746 * * * * [misc]progress: [ 272 / 302 ] simplifiying candidate # 1538408842.746 * * * * [misc]progress: [ 273 / 302 ] simplifiying candidate # 1538408842.746 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1538408842.747 * * [misc]simplify: iters left: 6 (12 enodes) 1538408842.750 * * [misc]simplify: iters left: 5 (21 enodes) 1538408842.759 * * [misc]simplify: iters left: 4 (67 enodes) 1538408842.826 * * [misc]simplify: iters left: 3 (321 enodes) 1538408843.453 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1538408843.453 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.453 * * * * [misc]progress: [ 274 / 302 ] simplifiying candidate # 1538408843.453 * * * * [misc]progress: [ 275 / 302 ] simplifiying candidate # 1538408843.453 * * * * [misc]progress: [ 276 / 302 ] simplifiying candidate # 1538408843.453 * * * * [misc]progress: [ 277 / 302 ] simplifiying candidate # 1538408843.453 * * * * [misc]progress: [ 278 / 302 ] simplifiying candidate # 1538408843.454 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538408843.455 * * [misc]simplify: iters left: 6 (7 enodes) 1538408843.458 * * [misc]simplify: iters left: 5 (12 enodes) 1538408843.463 * * [misc]simplify: iters left: 4 (22 enodes) 1538408843.472 * * [misc]simplify: iters left: 3 (35 enodes) 1538408843.479 * * [misc]simplify: iters left: 2 (42 enodes) 1538408843.485 * * [misc]simplify: iters left: 1 (47 enodes) 1538408843.493 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538408843.493 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.494 * * * * [misc]progress: [ 279 / 302 ] simplifiying candidate # 1538408843.494 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538408843.494 * * [misc]simplify: iters left: 6 (7 enodes) 1538408843.496 * * [misc]simplify: iters left: 5 (12 enodes) 1538408843.499 * * [misc]simplify: iters left: 4 (22 enodes) 1538408843.503 * * [misc]simplify: iters left: 3 (35 enodes) 1538408843.509 * * [misc]simplify: iters left: 2 (42 enodes) 1538408843.520 * * [misc]simplify: iters left: 1 (47 enodes) 1538408843.537 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538408843.537 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.537 * * * * [misc]progress: [ 280 / 302 ] simplifiying candidate # 1538408843.537 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538408843.538 * * [misc]simplify: iters left: 6 (7 enodes) 1538408843.541 * * [misc]simplify: iters left: 5 (12 enodes) 1538408843.546 * * [misc]simplify: iters left: 4 (22 enodes) 1538408843.555 * * [misc]simplify: iters left: 3 (32 enodes) 1538408843.565 * * [misc]simplify: iters left: 2 (36 enodes) 1538408843.575 * * [misc]simplify: iters left: 1 (43 enodes) 1538408843.587 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538408843.587 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.587 * * * * [misc]progress: [ 281 / 302 ] simplifiying candidate # 1538408843.588 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538408843.588 * * [misc]simplify: iters left: 6 (7 enodes) 1538408843.590 * * [misc]simplify: iters left: 5 (12 enodes) 1538408843.593 * * [misc]simplify: iters left: 4 (22 enodes) 1538408843.598 * * [misc]simplify: iters left: 3 (32 enodes) 1538408843.603 * * [misc]simplify: iters left: 2 (36 enodes) 1538408843.609 * * [misc]simplify: iters left: 1 (43 enodes) 1538408843.625 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538408843.625 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.625 * * * * [misc]progress: [ 282 / 302 ] simplifiying candidate # 1538408843.626 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538408843.626 * * [misc]simplify: iters left: 5 (6 enodes) 1538408843.628 * * [misc]simplify: iters left: 4 (8 enodes) 1538408843.632 * * [misc]simplify: iters left: 3 (11 enodes) 1538408843.635 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538408843.635 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.635 * * * * [misc]progress: [ 283 / 302 ] simplifiying candidate # 1538408843.636 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538408843.636 * * [misc]simplify: iters left: 5 (6 enodes) 1538408843.639 * * [misc]simplify: iters left: 4 (8 enodes) 1538408843.643 * * [misc]simplify: iters left: 3 (11 enodes) 1538408843.647 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538408843.647 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.647 * * * * [misc]progress: [ 284 / 302 ] simplifiying candidate # 1538408843.647 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538408843.648 * * [misc]simplify: iters left: 4 (5 enodes) 1538408843.650 * * [misc]simplify: iters left: 3 (7 enodes) 1538408843.652 * * [misc]simplify: iters left: 2 (10 enodes) 1538408843.655 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538408843.655 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.655 * * * * [misc]progress: [ 285 / 302 ] simplifiying candidate # 1538408843.656 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1538408843.656 * * [misc]simplify: iters left: 4 (4 enodes) 1538408843.658 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1538408843.658 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.658 * * * * [misc]progress: [ 286 / 302 ] simplifiying candidate # 1538408843.658 * [enter]simplify: Simplifying (sqrt (log PI)) 1538408843.658 * * [misc]simplify: iters left: 2 (3 enodes) 1538408843.660 * [exit]simplify: Simplified to (sqrt (log PI)) 1538408843.660 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.660 * * * * [misc]progress: [ 287 / 302 ] simplifiying candidate # 1538408843.660 * * * * [misc]progress: [ 288 / 302 ] simplifiying candidate # 1538408843.660 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1538408843.661 * * [misc]simplify: iters left: 6 (9 enodes) 1538408843.667 * * [misc]simplify: iters left: 5 (23 enodes) 1538408843.678 * * [misc]simplify: iters left: 4 (47 enodes) 1538408843.701 * * [misc]simplify: iters left: 3 (69 enodes) 1538408843.723 * * [misc]simplify: iters left: 2 (82 enodes) 1538408843.739 * * [misc]simplify: iters left: 1 (105 enodes) 1538408843.772 * [exit]simplify: Simplified to (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)) 1538408843.772 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.772 * * * * [misc]progress: [ 289 / 302 ] simplifiying candidate # 1538408843.773 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1538408843.773 * * [misc]simplify: iters left: 4 (5 enodes) 1538408843.775 * * [misc]simplify: iters left: 3 (6 enodes) 1538408843.777 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1538408843.777 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408843.777 * * * * [misc]progress: [ 290 / 302 ] simplifiying candidate # 1538408843.777 * * * * [misc]progress: [ 291 / 302 ] simplifiying candidate # 1538408843.777 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538408843.777 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408843.778 * * * * [misc]progress: [ 292 / 302 ] simplifiying candidate # 1538408843.778 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538408843.778 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408843.778 * * * * [misc]progress: [ 293 / 302 ] simplifiying candidate # 1538408843.778 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538408843.778 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408843.778 * * * * [misc]progress: [ 294 / 302 ] simplifiying candidate # 1538408843.779 * [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)))))))))))) 1538408843.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538408843.779 * * * * [misc]progress: [ 295 / 302 ] simplifiying candidate # 1538408843.779 * [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))))))))))) 1538408843.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538408843.779 * * * * [misc]progress: [ 296 / 302 ] simplifiying candidate # 1538408843.779 * [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))))))))) 1538408843.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538408843.779 * * * * [misc]progress: [ 297 / 302 ] simplifiying candidate # 1538408843.780 * [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))))) 1538408843.784 * * [misc]simplify: iters left: 6 (35 enodes) 1538408843.804 * * [misc]simplify: iters left: 5 (99 enodes) 1538408843.859 * * [misc]simplify: iters left: 4 (298 enodes) 1538408844.232 * [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))))))) 1538408844.232 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1538408844.232 * * * * [misc]progress: [ 298 / 302 ] simplifiying candidate # 1538408844.232 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538408844.234 * * [misc]simplify: iters left: 6 (13 enodes) 1538408844.242 * * [misc]simplify: iters left: 5 (27 enodes) 1538408844.256 * * [misc]simplify: iters left: 4 (53 enodes) 1538408844.284 * * [misc]simplify: iters left: 3 (116 enodes) 1538408844.350 * * [misc]simplify: iters left: 2 (362 enodes) 1538408844.689 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1538408844.689 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1538408844.689 * * * * [misc]progress: [ 299 / 302 ] simplifiying candidate # 1538408844.689 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538408844.690 * * [misc]simplify: iters left: 6 (13 enodes) 1538408844.694 * * [misc]simplify: iters left: 5 (24 enodes) 1538408844.702 * * [misc]simplify: iters left: 4 (54 enodes) 1538408844.722 * * [misc]simplify: iters left: 3 (143 enodes) 1538408844.865 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1538408844.865 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1538408844.865 * * * * [misc]progress: [ 300 / 302 ] simplifiying candidate # 1538408844.866 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408844.867 * * [misc]simplify: iters left: 6 (8 enodes) 1538408844.872 * * [misc]simplify: iters left: 5 (16 enodes) 1538408844.881 * * [misc]simplify: iters left: 4 (36 enodes) 1538408844.898 * * [misc]simplify: iters left: 3 (60 enodes) 1538408844.918 * * [misc]simplify: iters left: 2 (72 enodes) 1538408844.939 * * [misc]simplify: iters left: 1 (87 enodes) 1538408844.980 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538408844.980 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408844.980 * * * * [misc]progress: [ 301 / 302 ] simplifiying candidate # 1538408844.980 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408844.981 * * [misc]simplify: iters left: 6 (8 enodes) 1538408844.983 * * [misc]simplify: iters left: 5 (16 enodes) 1538408844.988 * * [misc]simplify: iters left: 4 (36 enodes) 1538408844.997 * * [misc]simplify: iters left: 3 (60 enodes) 1538408845.007 * * [misc]simplify: iters left: 2 (72 enodes) 1538408845.018 * * [misc]simplify: iters left: 1 (87 enodes) 1538408845.039 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538408845.039 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408845.039 * * * * [misc]progress: [ 302 / 302 ] simplifiying candidate # 1538408845.039 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408845.039 * * [misc]simplify: iters left: 6 (8 enodes) 1538408845.042 * * [misc]simplify: iters left: 5 (16 enodes) 1538408845.049 * * [misc]simplify: iters left: 4 (36 enodes) 1538408845.058 * * [misc]simplify: iters left: 3 (60 enodes) 1538408845.068 * * [misc]simplify: iters left: 2 (72 enodes) 1538408845.079 * * [misc]simplify: iters left: 1 (87 enodes) 1538408845.100 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538408845.100 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538408845.100 * * * [misc]progress: adding candidates to table 1538408853.282 * * [misc]progress: iteration 4 / 4 1538408853.282 * * * [misc]progress: picking best candidate 1538408853.332 * * * * [misc]pick: Picked # 1538408853.332 * * * [misc]progress: localizing error 1538408853.385 * * * [misc]progress: generating rewritten candidates 1538408853.385 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1538408853.398 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1538408853.459 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1538408853.656 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1538408853.720 * * * [misc]progress: generating series expansions 1538408853.720 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1538408853.721 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 n))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) 1538408853.721 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in (n) around 0 1538408853.721 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in n 1538408853.721 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538408853.721 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.721 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.721 * [misc]backup-simplify: Simplify 2 into 2 1538408853.721 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.721 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.721 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408853.721 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408853.721 * [misc]taylor: Taking taylor expansion of n in n 1538408853.722 * [misc]backup-simplify: Simplify 0 into 0 1538408853.722 * [misc]backup-simplify: Simplify 1 into 1 1538408853.722 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408853.722 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.722 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408853.722 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in n 1538408853.722 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538408853.722 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.722 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.722 * [misc]backup-simplify: Simplify 2 into 2 1538408853.722 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.723 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.723 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538408853.723 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538408853.723 * [misc]taylor: Taking taylor expansion of n in n 1538408853.723 * [misc]backup-simplify: Simplify 0 into 0 1538408853.723 * [misc]backup-simplify: Simplify 1 into 1 1538408853.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408853.723 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.723 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408853.723 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1538408853.723 * [misc]backup-simplify: Simplify 0 into 0 1538408853.724 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1538408853.724 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.724 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.725 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408853.725 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408853.726 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408853.726 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538408853.727 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.727 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.728 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408853.728 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408853.728 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408853.729 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538408853.729 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.730 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.731 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow n 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) n) (- (* +nan.0 (/ 1 (sqrt 2)))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (+ (* +nan.0 (/ n (sqrt 2))) (- (* +nan.0 (/ (pow n 2) (sqrt 2)))))))) 1538408853.731 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 (/ 1 n)))) into (* (/ 1 (sqrt 2)) (sqrt n)) 1538408853.731 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in (n) around 0 1538408853.731 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in n 1538408853.731 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538408853.731 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.731 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.731 * [misc]backup-simplify: Simplify 2 into 2 1538408853.732 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.732 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.732 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.732 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1538408853.732 * [misc]taylor: Taking taylor expansion of n in n 1538408853.732 * [misc]backup-simplify: Simplify 0 into 0 1538408853.732 * [misc]backup-simplify: Simplify 1 into 1 1538408853.732 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.732 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408853.732 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in n 1538408853.732 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538408853.732 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.732 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.732 * [misc]backup-simplify: Simplify 2 into 2 1538408853.733 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.733 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.733 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.733 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1538408853.733 * [misc]taylor: Taking taylor expansion of n in n 1538408853.733 * [misc]backup-simplify: Simplify 0 into 0 1538408853.733 * [misc]backup-simplify: Simplify 1 into 1 1538408853.733 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.733 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538408853.733 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1538408853.734 * [misc]backup-simplify: Simplify 0 into 0 1538408853.734 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1538408853.734 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.735 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.735 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408853.736 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408853.736 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538408853.737 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.737 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.738 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408853.738 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408853.739 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538408853.739 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.740 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.741 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow (/ 1 n) 3)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow (/ 1 n) 2)) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (/ 1 n)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (* +nan.0 (/ 1 (* (sqrt 2) n)))))))) 1538408853.741 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 (/ 1 (- n))))) into (/ 1 (sqrt (/ -2 n))) 1538408853.741 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in (n) around 0 1538408853.741 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1538408853.741 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538408853.742 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408853.742 * [misc]taylor: Taking taylor expansion of -2 in n 1538408853.742 * [misc]backup-simplify: Simplify -2 into -2 1538408853.742 * [misc]taylor: Taking taylor expansion of n in n 1538408853.742 * [misc]backup-simplify: Simplify 0 into 0 1538408853.742 * [misc]backup-simplify: Simplify 1 into 1 1538408853.742 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408853.742 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.742 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538408853.742 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1538408853.742 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1538408853.742 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538408853.742 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408853.742 * [misc]taylor: Taking taylor expansion of -2 in n 1538408853.742 * [misc]backup-simplify: Simplify -2 into -2 1538408853.742 * [misc]taylor: Taking taylor expansion of n in n 1538408853.742 * [misc]backup-simplify: Simplify 0 into 0 1538408853.742 * [misc]backup-simplify: Simplify 1 into 1 1538408853.742 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408853.743 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.743 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538408853.743 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1538408853.743 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.743 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408853.744 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408853.745 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1538408853.745 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1538408853.745 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408853.746 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538408853.747 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1538408853.747 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1538408853.747 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- n)) 2)) (+ (* (- +nan.0) (/ 1 (- n))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1538408853.747 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1538408853.748 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) into (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) 1538408853.748 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in (n k) around 0 1538408853.748 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.748 * [misc]backup-simplify: Simplify 2 into 2 1538408853.748 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.748 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.748 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.748 * [misc]taylor: Taking taylor expansion of k in k 1538408853.748 * [misc]backup-simplify: Simplify 0 into 0 1538408853.748 * [misc]backup-simplify: Simplify 1 into 1 1538408853.748 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408853.748 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.748 * [misc]backup-simplify: Simplify 2 into 2 1538408853.748 * [misc]taylor: Taking taylor expansion of n in k 1538408853.748 * [misc]backup-simplify: Simplify n into n 1538408853.748 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408853.749 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408853.749 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408853.749 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.749 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538408853.749 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.749 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538408853.750 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538408853.750 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408853.750 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408853.750 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538408853.750 * [misc]backup-simplify: Simplify (exp 0) into 1 1538408853.750 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538408853.751 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.751 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538408853.751 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538408853.751 * [misc]taylor: Taking taylor expansion of k in k 1538408853.751 * [misc]backup-simplify: Simplify 0 into 0 1538408853.751 * [misc]backup-simplify: Simplify 1 into 1 1538408853.751 * [misc]taylor: Taking taylor expansion of n in k 1538408853.751 * [misc]backup-simplify: Simplify n into n 1538408853.751 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538408853.751 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.751 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538408853.751 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.751 * [misc]backup-simplify: Simplify 2 into 2 1538408853.751 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.751 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.751 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408853.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.752 * [misc]taylor: Taking taylor expansion of k in n 1538408853.752 * [misc]backup-simplify: Simplify k into k 1538408853.752 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408853.752 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408853.752 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.752 * [misc]backup-simplify: Simplify 2 into 2 1538408853.752 * [misc]taylor: Taking taylor expansion of n in n 1538408853.752 * [misc]backup-simplify: Simplify 0 into 0 1538408853.752 * [misc]backup-simplify: Simplify 1 into 1 1538408853.752 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408853.752 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408853.752 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.752 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408853.752 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.752 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408853.752 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538408853.753 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538408853.753 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) 1538408853.753 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) 1538408853.753 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538408853.753 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538408853.753 * [misc]taylor: Taking taylor expansion of k in n 1538408853.753 * [misc]backup-simplify: Simplify k into k 1538408853.753 * [misc]taylor: Taking taylor expansion of n in n 1538408853.753 * [misc]backup-simplify: Simplify 0 into 0 1538408853.753 * [misc]backup-simplify: Simplify 1 into 1 1538408853.753 * [misc]backup-simplify: Simplify (/ k 1) into k 1538408853.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.754 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538408853.754 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.754 * [misc]backup-simplify: Simplify 2 into 2 1538408853.754 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.754 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.754 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.754 * [misc]taylor: Taking taylor expansion of k in n 1538408853.754 * [misc]backup-simplify: Simplify k into k 1538408853.754 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408853.754 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.754 * [misc]backup-simplify: Simplify 2 into 2 1538408853.754 * [misc]taylor: Taking taylor expansion of n in n 1538408853.754 * [misc]backup-simplify: Simplify 0 into 0 1538408853.754 * [misc]backup-simplify: Simplify 1 into 1 1538408853.754 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408853.754 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408853.755 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.755 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408853.755 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.755 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408853.755 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538408853.755 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538408853.755 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) 1538408853.756 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) 1538408853.756 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538408853.756 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538408853.756 * [misc]taylor: Taking taylor expansion of k in n 1538408853.756 * [misc]backup-simplify: Simplify k into k 1538408853.756 * [misc]taylor: Taking taylor expansion of n in n 1538408853.756 * [misc]backup-simplify: Simplify 0 into 0 1538408853.756 * [misc]backup-simplify: Simplify 1 into 1 1538408853.756 * [misc]backup-simplify: Simplify (/ k 1) into k 1538408853.756 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.756 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538408853.757 * [misc]backup-simplify: Simplify (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) 0) into 0 1538408853.757 * [misc]taylor: Taking taylor expansion of 0 in k 1538408853.757 * [misc]backup-simplify: Simplify 0 into 0 1538408853.757 * [misc]backup-simplify: Simplify 0 into 0 1538408853.757 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.757 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408853.758 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408853.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538408853.759 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.759 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408853.759 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538408853.760 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408853.760 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k))))) into 0 1538408853.761 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538408853.761 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 k)) (* 0 0)) into (- (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538408853.761 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538408853.761 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538408853.761 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.761 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.761 * [misc]taylor: Taking taylor expansion of (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538408853.761 * [misc]taylor: Taking taylor expansion of k in k 1538408853.761 * [misc]backup-simplify: Simplify 0 into 0 1538408853.761 * [misc]backup-simplify: Simplify 1 into 1 1538408853.761 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538408853.761 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.762 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.762 * [misc]backup-simplify: Simplify 2 into 2 1538408853.762 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.762 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.762 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538408853.762 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538408853.762 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538408853.762 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408853.762 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538408853.762 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538408853.762 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408853.762 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.762 * [misc]backup-simplify: Simplify 2 into 2 1538408853.762 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.762 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.762 * [misc]taylor: Taking taylor expansion of n in k 1538408853.762 * [misc]backup-simplify: Simplify n into n 1538408853.762 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.762 * [misc]taylor: Taking taylor expansion of k in k 1538408853.762 * [misc]backup-simplify: Simplify 0 into 0 1538408853.762 * [misc]backup-simplify: Simplify 1 into 1 1538408853.762 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538408853.762 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538408853.763 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538408853.764 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408853.765 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408853.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408853.765 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538408853.765 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538408853.765 * [misc]backup-simplify: Simplify (exp 0) into 1 1538408853.766 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538408853.766 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.766 * [misc]backup-simplify: Simplify 0 into 0 1538408853.766 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)))) into 0 1538408853.766 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 k) 2) (+)) (* 2 0)) into (* +nan.0 (pow k 2)) 1538408853.767 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.767 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408853.769 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408853.769 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538408853.770 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.770 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408853.770 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538408853.772 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408853.773 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408853.774 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) into 0 1538408853.775 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538408853.776 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))) into (- (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538408853.776 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538408853.776 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538408853.776 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.776 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.776 * [misc]taylor: Taking taylor expansion of (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538408853.776 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1538408853.776 * [misc]taylor: Taking taylor expansion of k in k 1538408853.776 * [misc]backup-simplify: Simplify 0 into 0 1538408853.776 * [misc]backup-simplify: Simplify 1 into 1 1538408853.776 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538408853.776 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.776 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.776 * [misc]backup-simplify: Simplify 2 into 2 1538408853.776 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.777 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.777 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538408853.777 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538408853.777 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538408853.777 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408853.777 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538408853.777 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538408853.777 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408853.777 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.777 * [misc]backup-simplify: Simplify 2 into 2 1538408853.777 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.777 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.777 * [misc]taylor: Taking taylor expansion of n in k 1538408853.777 * [misc]backup-simplify: Simplify n into n 1538408853.777 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.777 * [misc]taylor: Taking taylor expansion of k in k 1538408853.777 * [misc]backup-simplify: Simplify 0 into 0 1538408853.777 * [misc]backup-simplify: Simplify 1 into 1 1538408853.777 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538408853.778 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538408853.778 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538408853.781 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408853.782 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408853.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408853.782 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538408853.783 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538408853.783 * [misc]backup-simplify: Simplify (exp 0) into 1 1538408853.783 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.783 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538408853.783 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.784 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1538408853.784 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.784 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.784 * [misc]backup-simplify: Simplify 0 into 0 1538408853.785 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408853.785 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 2)))))) (* 2 0)) into (* +nan.0 (pow k 3)) 1538408853.785 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.785 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538408853.789 * [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 1538408853.790 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.790 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.790 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538408853.790 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.790 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408853.791 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1538408853.793 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538408853.793 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408853.794 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) into 0 1538408853.795 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538408853.795 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538408853.795 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538408853.795 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538408853.795 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.795 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.795 * [misc]taylor: Taking taylor expansion of (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538408853.795 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of k in k 1538408853.796 * [misc]backup-simplify: Simplify 0 into 0 1538408853.796 * [misc]backup-simplify: Simplify 1 into 1 1538408853.796 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.796 * [misc]backup-simplify: Simplify 2 into 2 1538408853.796 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.796 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.796 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538408853.796 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408853.796 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.796 * [misc]backup-simplify: Simplify 2 into 2 1538408853.796 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.796 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.796 * [misc]taylor: Taking taylor expansion of n in k 1538408853.796 * [misc]backup-simplify: Simplify n into n 1538408853.796 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.796 * [misc]taylor: Taking taylor expansion of k in k 1538408853.796 * [misc]backup-simplify: Simplify 0 into 0 1538408853.796 * [misc]backup-simplify: Simplify 1 into 1 1538408853.796 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538408853.797 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538408853.797 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538408853.798 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408853.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408853.799 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408853.799 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538408853.799 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538408853.799 * [misc]backup-simplify: Simplify (exp 0) into 1 1538408853.800 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.800 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.800 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538408853.800 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.801 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538408853.801 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1 (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 0 1)) into (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log n))))) 1538408853.802 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log n))))) (sqrt 2))))) into (+ (* 1/2 (/ (log 2) (sqrt 2))) (* 1/2 (/ (log n) (sqrt 2)))) 1538408853.803 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* 1/2 (/ (log 2) (sqrt 2))) (* 1/2 (/ (log n) (sqrt 2))))) (* 0 (/ 1 (sqrt 2)))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1538408853.804 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2))))))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1538408853.804 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1538408853.804 * [misc]backup-simplify: Simplify 0 into 0 1538408853.805 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408853.805 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow k 2)) 2) (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 3)))))) (* 2 0)) into (* +nan.0 (pow k 4)) 1538408853.805 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.806 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538408853.817 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into 0 1538408853.817 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.818 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.818 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1538408853.819 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.819 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408853.820 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))))) into 0 1538408853.825 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408853.827 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408853.828 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538408853.829 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538408853.830 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 4))) (+ (* 0 (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))))) into (- (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538408853.830 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.830 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.830 * [misc]taylor: Taking taylor expansion of (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of k in k 1538408853.830 * [misc]backup-simplify: Simplify 0 into 0 1538408853.830 * [misc]backup-simplify: Simplify 1 into 1 1538408853.830 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.830 * [misc]backup-simplify: Simplify 2 into 2 1538408853.830 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.830 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.830 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538408853.830 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408853.830 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.830 * [misc]backup-simplify: Simplify 2 into 2 1538408853.830 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.830 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.830 * [misc]taylor: Taking taylor expansion of n in k 1538408853.830 * [misc]backup-simplify: Simplify n into n 1538408853.830 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.830 * [misc]taylor: Taking taylor expansion of k in k 1538408853.830 * [misc]backup-simplify: Simplify 0 into 0 1538408853.830 * [misc]backup-simplify: Simplify 1 into 1 1538408853.831 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538408853.831 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538408853.831 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538408853.832 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408853.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538408853.833 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408853.833 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538408853.834 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538408853.834 * [misc]backup-simplify: Simplify (exp 0) into 1 1538408853.834 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.834 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.834 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538408853.834 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538408853.835 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1538408853.835 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.835 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538408853.837 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (pow k 2) n)) (+ (* (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) (pow (* k 1) 2)) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* k 1)))) into (- (+ (* +nan.0 (/ (* n (pow k 2)) (sqrt 2))) (- (+ (* +nan.0 (/ k (sqrt 2))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (sqrt 2)))))))))) 1538408853.838 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 (/ 1 n)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2))))) into (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) 1538408853.838 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in (n k) around 0 1538408853.838 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.838 * [misc]backup-simplify: Simplify 2 into 2 1538408853.838 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.838 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.838 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of k in k 1538408853.838 * [misc]backup-simplify: Simplify 0 into 0 1538408853.838 * [misc]backup-simplify: Simplify 1 into 1 1538408853.838 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408853.838 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408853.838 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.838 * [misc]backup-simplify: Simplify 2 into 2 1538408853.838 * [misc]taylor: Taking taylor expansion of n in k 1538408853.838 * [misc]backup-simplify: Simplify n into n 1538408853.838 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408853.838 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408853.839 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408853.839 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408853.839 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408853.839 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538408853.839 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (/ 2 n)) k)))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) 1538408853.839 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) 1538408853.839 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538408853.839 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538408853.839 * [misc]taylor: Taking taylor expansion of n in k 1538408853.839 * [misc]backup-simplify: Simplify n into n 1538408853.839 * [misc]taylor: Taking taylor expansion of k in k 1538408853.839 * [misc]backup-simplify: Simplify 0 into 0 1538408853.839 * [misc]backup-simplify: Simplify 1 into 1 1538408853.839 * [misc]backup-simplify: Simplify (/ n 1) into n 1538408853.839 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.840 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538408853.840 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.840 * [misc]backup-simplify: Simplify 2 into 2 1538408853.840 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.840 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.840 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.840 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of k in n 1538408853.840 * [misc]backup-simplify: Simplify k into k 1538408853.840 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408853.840 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408853.840 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.840 * [misc]backup-simplify: Simplify 2 into 2 1538408853.840 * [misc]taylor: Taking taylor expansion of n in n 1538408853.840 * [misc]backup-simplify: Simplify 0 into 0 1538408853.840 * [misc]backup-simplify: Simplify 1 into 1 1538408853.840 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408853.840 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.841 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408853.841 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408853.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408853.841 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538408853.841 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.841 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538408853.842 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408853.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538408853.842 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538408853.842 * [misc]taylor: Taking taylor expansion of n in n 1538408853.842 * [misc]backup-simplify: Simplify 0 into 0 1538408853.842 * [misc]backup-simplify: Simplify 1 into 1 1538408853.842 * [misc]taylor: Taking taylor expansion of k in n 1538408853.842 * [misc]backup-simplify: Simplify k into k 1538408853.842 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408853.842 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.842 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538408853.842 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1538408853.842 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1538408853.842 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1538408853.842 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.842 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.842 * [misc]backup-simplify: Simplify 2 into 2 1538408853.842 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.843 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.843 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of k in n 1538408853.843 * [misc]backup-simplify: Simplify k into k 1538408853.843 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408853.843 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408853.843 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.843 * [misc]backup-simplify: Simplify 2 into 2 1538408853.843 * [misc]taylor: Taking taylor expansion of n in n 1538408853.843 * [misc]backup-simplify: Simplify 0 into 0 1538408853.843 * [misc]backup-simplify: Simplify 1 into 1 1538408853.843 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408853.843 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.843 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408853.843 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408853.843 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408853.844 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538408853.844 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.844 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538408853.844 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408853.844 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538408853.844 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538408853.844 * [misc]taylor: Taking taylor expansion of n in n 1538408853.844 * [misc]backup-simplify: Simplify 0 into 0 1538408853.844 * [misc]backup-simplify: Simplify 1 into 1 1538408853.844 * [misc]taylor: Taking taylor expansion of k in n 1538408853.845 * [misc]backup-simplify: Simplify k into k 1538408853.845 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408853.845 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.845 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538408853.845 * [misc]backup-simplify: Simplify (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 0) into 0 1538408853.845 * [misc]taylor: Taking taylor expansion of 0 in k 1538408853.845 * [misc]backup-simplify: Simplify 0 into 0 1538408853.845 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408853.846 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408853.847 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408853.847 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408853.848 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408853.848 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.848 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408853.848 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538408853.849 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408853.849 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538408853.850 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.850 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 k)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))))) 1538408853.850 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))))) in k 1538408853.850 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k)))) in k 1538408853.850 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.850 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.850 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))) in k 1538408853.850 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k)) in k 1538408853.850 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.850 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.850 * [misc]backup-simplify: Simplify 2 into 2 1538408853.851 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.851 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.851 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k) in k 1538408853.851 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538408853.851 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538408853.851 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538408853.851 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408853.851 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538408853.851 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538408853.851 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408853.851 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.851 * [misc]backup-simplify: Simplify 2 into 2 1538408853.851 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.851 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.851 * [misc]taylor: Taking taylor expansion of n in k 1538408853.851 * [misc]backup-simplify: Simplify n into n 1538408853.851 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.851 * [misc]taylor: Taking taylor expansion of k in k 1538408853.851 * [misc]backup-simplify: Simplify 0 into 0 1538408853.851 * [misc]backup-simplify: Simplify 1 into 1 1538408853.851 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408853.851 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538408853.851 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538408853.852 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538408853.852 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.852 * [misc]taylor: Taking taylor expansion of k in k 1538408853.852 * [misc]backup-simplify: Simplify 0 into 0 1538408853.852 * [misc]backup-simplify: Simplify 1 into 1 1538408853.852 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) into 0 1538408853.852 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408853.852 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.853 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) (* 0 0)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538408853.853 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408853.853 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into (/ +nan.0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408853.854 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538408853.854 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538408853.854 * [misc]backup-simplify: Simplify 0 into 0 1538408853.854 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408853.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 k) 2) (+)) (* 2 0)) into (/ +nan.0 (pow k 2)) 1538408853.855 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408853.855 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408853.858 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408853.858 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.858 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408853.859 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408853.859 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.859 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408853.859 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538408853.861 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408853.861 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408853.862 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538408853.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.863 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))))) 1538408853.863 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))))) in k 1538408853.863 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2))))) in k 1538408853.863 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.863 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.863 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))) in k 1538408853.863 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2))) in k 1538408853.863 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.863 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.863 * [misc]backup-simplify: Simplify 2 into 2 1538408853.864 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.864 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)) in k 1538408853.864 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538408853.864 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538408853.864 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538408853.864 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408853.864 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538408853.864 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538408853.864 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408853.864 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.864 * [misc]backup-simplify: Simplify 2 into 2 1538408853.864 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.864 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.864 * [misc]taylor: Taking taylor expansion of n in k 1538408853.864 * [misc]backup-simplify: Simplify n into n 1538408853.864 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.864 * [misc]taylor: Taking taylor expansion of k in k 1538408853.865 * [misc]backup-simplify: Simplify 0 into 0 1538408853.865 * [misc]backup-simplify: Simplify 1 into 1 1538408853.865 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408853.865 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538408853.865 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538408853.865 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538408853.866 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.866 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1538408853.866 * [misc]taylor: Taking taylor expansion of k in k 1538408853.866 * [misc]backup-simplify: Simplify 0 into 0 1538408853.866 * [misc]backup-simplify: Simplify 1 into 1 1538408853.866 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.866 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.867 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538408853.867 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408853.867 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538408853.868 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 1)) into 0 1538408853.869 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538408853.870 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.870 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538408853.870 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.870 * [misc]backup-simplify: Simplify 0 into 0 1538408853.871 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1538408853.872 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408853.873 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))) (* 0 0))) into 0 1538408853.874 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.875 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538408853.875 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.875 * [misc]backup-simplify: Simplify 0 into 0 1538408853.875 * [misc]backup-simplify: Simplify 0 into 0 1538408853.875 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408853.876 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 k) (/ +nan.0 (pow k 2)))))) (* 2 0)) into (/ +nan.0 (pow k 3)) 1538408853.876 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408853.876 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408853.884 * [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 1538408853.884 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.884 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.884 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408853.885 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538408853.885 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408853.886 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538408853.890 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538408853.890 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408853.891 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538408853.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.893 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 (pow k 3))) (+ (* 0 (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))))) 1538408853.894 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))))) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3))))) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.894 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.894 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3))) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.894 * [misc]backup-simplify: Simplify 2 into 2 1538408853.894 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.894 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.894 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538408853.894 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538408853.894 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408853.894 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538408853.895 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538408853.895 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538408853.895 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.895 * [misc]backup-simplify: Simplify 2 into 2 1538408853.895 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.895 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.895 * [misc]taylor: Taking taylor expansion of n in k 1538408853.895 * [misc]backup-simplify: Simplify n into n 1538408853.895 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.895 * [misc]taylor: Taking taylor expansion of k in k 1538408853.895 * [misc]backup-simplify: Simplify 0 into 0 1538408853.895 * [misc]backup-simplify: Simplify 1 into 1 1538408853.895 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408853.895 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538408853.896 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538408853.896 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538408853.896 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.896 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1538408853.896 * [misc]taylor: Taking taylor expansion of k in k 1538408853.897 * [misc]backup-simplify: Simplify 0 into 0 1538408853.897 * [misc]backup-simplify: Simplify 1 into 1 1538408853.897 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.897 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408853.897 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408853.898 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538408853.898 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408853.898 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538408853.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538408853.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538408853.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538408853.900 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0 1538408853.900 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 1)) into 0 1538408853.901 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408853.902 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538408853.903 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538408853.904 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.905 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.906 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.906 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.906 * [misc]backup-simplify: Simplify 0 into 0 1538408853.906 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538408853.907 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0 1538408853.908 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408853.909 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538408853.911 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.912 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408853.912 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.912 * [misc]backup-simplify: Simplify 0 into 0 1538408853.912 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (/ 1 (/ 1 k)) (/ 1 n))) into (* +nan.0 (/ k (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n)))) 1538408853.913 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 (/ 1 (- n))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) 1538408853.913 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in (n k) around 0 1538408853.913 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in k 1538408853.913 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408853.913 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408853.913 * [misc]taylor: Taking taylor expansion of -1 in k 1538408853.913 * [misc]backup-simplify: Simplify -1 into -1 1538408853.913 * [misc]taylor: Taking taylor expansion of k in k 1538408853.913 * [misc]backup-simplify: Simplify 0 into 0 1538408853.913 * [misc]backup-simplify: Simplify 1 into 1 1538408853.914 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408853.914 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.914 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408853.914 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of -2 in k 1538408853.915 * [misc]backup-simplify: Simplify -2 into -2 1538408853.915 * [misc]taylor: Taking taylor expansion of n in k 1538408853.915 * [misc]backup-simplify: Simplify n into n 1538408853.915 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408853.915 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538408853.915 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538408853.915 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538408853.915 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.915 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408853.915 * [misc]taylor: Taking taylor expansion of k in k 1538408853.915 * [misc]backup-simplify: Simplify 0 into 0 1538408853.915 * [misc]backup-simplify: Simplify 1 into 1 1538408853.916 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408853.916 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408853.916 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408853.916 * [misc]taylor: Taking taylor expansion of -2 in k 1538408853.916 * [misc]backup-simplify: Simplify -2 into -2 1538408853.916 * [misc]taylor: Taking taylor expansion of n in k 1538408853.916 * [misc]backup-simplify: Simplify n into n 1538408853.916 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408853.916 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408853.916 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408853.916 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408853.916 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538408853.917 * [misc]backup-simplify: Simplify (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) into (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) 1538408853.917 * [misc]backup-simplify: Simplify (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) into (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) 1538408853.917 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1538408853.917 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408853.917 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408853.917 * [misc]taylor: Taking taylor expansion of -1 in n 1538408853.917 * [misc]backup-simplify: Simplify -1 into -1 1538408853.917 * [misc]taylor: Taking taylor expansion of k in n 1538408853.917 * [misc]backup-simplify: Simplify k into k 1538408853.917 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408853.917 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408853.917 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408853.918 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408853.918 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1538408853.918 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538408853.918 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408853.918 * [misc]taylor: Taking taylor expansion of -2 in n 1538408853.918 * [misc]backup-simplify: Simplify -2 into -2 1538408853.918 * [misc]taylor: Taking taylor expansion of n in n 1538408853.918 * [misc]backup-simplify: Simplify 0 into 0 1538408853.918 * [misc]backup-simplify: Simplify 1 into 1 1538408853.918 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408853.918 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.919 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538408853.919 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538408853.919 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538408853.919 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538408853.919 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408853.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.919 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408853.919 * [misc]taylor: Taking taylor expansion of k in n 1538408853.919 * [misc]backup-simplify: Simplify k into k 1538408853.919 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408853.919 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408853.919 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408853.919 * [misc]taylor: Taking taylor expansion of -2 in n 1538408853.919 * [misc]backup-simplify: Simplify -2 into -2 1538408853.919 * [misc]taylor: Taking taylor expansion of n in n 1538408853.919 * [misc]backup-simplify: Simplify 0 into 0 1538408853.919 * [misc]backup-simplify: Simplify 1 into 1 1538408853.920 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408853.920 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408853.920 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408853.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408853.921 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538408853.921 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538408853.921 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1538408853.922 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408853.924 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408853.924 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408853.924 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408853.924 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408853.925 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538408853.926 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408853.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538408853.926 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538408853.926 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1538408853.926 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408853.926 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408853.926 * [misc]taylor: Taking taylor expansion of -1 in n 1538408853.926 * [misc]backup-simplify: Simplify -1 into -1 1538408853.926 * [misc]taylor: Taking taylor expansion of k in n 1538408853.926 * [misc]backup-simplify: Simplify k into k 1538408853.926 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408853.927 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408853.927 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408853.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408853.927 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1538408853.927 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538408853.927 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408853.927 * [misc]taylor: Taking taylor expansion of -2 in n 1538408853.927 * [misc]backup-simplify: Simplify -2 into -2 1538408853.927 * [misc]taylor: Taking taylor expansion of n in n 1538408853.927 * [misc]backup-simplify: Simplify 0 into 0 1538408853.927 * [misc]backup-simplify: Simplify 1 into 1 1538408853.927 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408853.927 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.927 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538408853.927 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538408853.927 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538408853.927 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538408853.927 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408853.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408853.928 * [misc]taylor: Taking taylor expansion of k in n 1538408853.928 * [misc]backup-simplify: Simplify k into k 1538408853.928 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408853.928 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408853.928 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408853.928 * [misc]taylor: Taking taylor expansion of -2 in n 1538408853.928 * [misc]backup-simplify: Simplify -2 into -2 1538408853.928 * [misc]taylor: Taking taylor expansion of n in n 1538408853.928 * [misc]backup-simplify: Simplify 0 into 0 1538408853.928 * [misc]backup-simplify: Simplify 1 into 1 1538408853.928 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408853.928 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408853.928 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408853.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408853.929 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538408853.929 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538408853.929 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1538408853.929 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408853.931 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408853.931 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408853.931 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408853.931 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408853.932 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538408853.932 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408853.933 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538408853.933 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538408853.933 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) in k 1538408853.933 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.933 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.933 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))) in k 1538408853.933 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408853.933 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408853.933 * [misc]taylor: Taking taylor expansion of -1 in k 1538408853.933 * [misc]backup-simplify: Simplify -1 into -1 1538408853.933 * [misc]taylor: Taking taylor expansion of k in k 1538408853.933 * [misc]backup-simplify: Simplify 0 into 0 1538408853.933 * [misc]backup-simplify: Simplify 1 into 1 1538408853.933 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408853.934 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.934 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408853.934 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log -2) (log n)) k))) in k 1538408853.934 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log -2) (log n)) k)) in k 1538408853.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.934 * [misc]taylor: Taking taylor expansion of (/ (- (log -2) (log n)) k) in k 1538408853.934 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538408853.934 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538408853.934 * [misc]taylor: Taking taylor expansion of -2 in k 1538408853.934 * [misc]backup-simplify: Simplify -2 into -2 1538408853.934 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408853.934 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.934 * [misc]taylor: Taking taylor expansion of n in k 1538408853.934 * [misc]backup-simplify: Simplify n into n 1538408853.934 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.934 * [misc]taylor: Taking taylor expansion of k in k 1538408853.934 * [misc]backup-simplify: Simplify 0 into 0 1538408853.934 * [misc]backup-simplify: Simplify 1 into 1 1538408853.934 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408853.935 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538408853.935 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) 1) into (- (log -2) (log n)) 1538408853.935 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538408853.935 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538408853.935 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538408853.935 * [misc]backup-simplify: Simplify (* +nan.0 (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538408853.936 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538408853.936 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408853.939 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538408853.939 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408853.939 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408853.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408853.939 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538408853.941 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408853.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408853.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408853.942 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538408853.943 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) (+ (* (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) (/ (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))))) into (- (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538408853.943 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) in k 1538408853.943 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) in k 1538408853.943 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538408853.943 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.943 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))) in k 1538408853.943 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408853.943 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408853.943 * [misc]taylor: Taking taylor expansion of -1 in k 1538408853.943 * [misc]backup-simplify: Simplify -1 into -1 1538408853.943 * [misc]taylor: Taking taylor expansion of k in k 1538408853.943 * [misc]backup-simplify: Simplify 0 into 0 1538408853.943 * [misc]backup-simplify: Simplify 1 into 1 1538408853.943 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408853.943 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.944 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408853.944 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log -2) (log n)) k))) in k 1538408853.944 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log -2) (log n)) k)) in k 1538408853.944 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.944 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.944 * [misc]taylor: Taking taylor expansion of (/ (- (log -2) (log n)) k) in k 1538408853.944 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538408853.944 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538408853.944 * [misc]taylor: Taking taylor expansion of -2 in k 1538408853.944 * [misc]backup-simplify: Simplify -2 into -2 1538408853.944 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408853.944 * [misc]taylor: Taking taylor expansion of (log n) in k 1538408853.944 * [misc]taylor: Taking taylor expansion of n in k 1538408853.944 * [misc]backup-simplify: Simplify n into n 1538408853.944 * [misc]backup-simplify: Simplify (log n) into (log n) 1538408853.944 * [misc]taylor: Taking taylor expansion of k in k 1538408853.944 * [misc]backup-simplify: Simplify 0 into 0 1538408853.944 * [misc]backup-simplify: Simplify 1 into 1 1538408853.944 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538408853.944 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538408853.944 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) 1) into (- (log -2) (log n)) 1538408853.944 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538408853.945 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538408853.945 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538408853.948 * [misc]backup-simplify: Simplify (* +nan.0 (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538408853.949 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538408853.950 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538408853.950 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538408853.951 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408853.952 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) (+ (* (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538408853.953 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))) (* 0 (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538408853.954 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538408853.955 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ 1 (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k)))))))))) 1538408853.955 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1538408853.957 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) into (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) 1538408853.957 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in (k n) around 0 1538408853.957 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in n 1538408853.957 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1538408853.957 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.957 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.957 * [misc]backup-simplify: Simplify 2 into 2 1538408853.957 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.957 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.957 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538408853.957 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538408853.958 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538408853.958 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538408853.958 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538408853.958 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408853.958 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.958 * [misc]taylor: Taking taylor expansion of k in n 1538408853.958 * [misc]backup-simplify: Simplify k into k 1538408853.958 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408853.958 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408853.958 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.958 * [misc]backup-simplify: Simplify 2 into 2 1538408853.958 * [misc]taylor: Taking taylor expansion of n in n 1538408853.958 * [misc]backup-simplify: Simplify 0 into 0 1538408853.958 * [misc]backup-simplify: Simplify 1 into 1 1538408853.958 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408853.958 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408853.958 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408853.959 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408853.959 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.959 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408853.959 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538408853.960 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538408853.960 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538408853.960 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538408853.960 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538408853.960 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538408853.960 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.960 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538408853.960 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408853.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.960 * [misc]taylor: Taking taylor expansion of k in n 1538408853.960 * [misc]backup-simplify: Simplify k into k 1538408853.960 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408853.960 * [misc]taylor: Taking taylor expansion of PI in n 1538408853.960 * [misc]backup-simplify: Simplify PI into PI 1538408853.960 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408853.960 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538408853.961 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538408853.961 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538408853.961 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538408853.961 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538408853.962 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538408853.962 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538408853.962 * [misc]taylor: Taking taylor expansion of n in n 1538408853.962 * [misc]backup-simplify: Simplify 0 into 0 1538408853.962 * [misc]backup-simplify: Simplify 1 into 1 1538408853.962 * [misc]taylor: Taking taylor expansion of k in n 1538408853.962 * [misc]backup-simplify: Simplify k into k 1538408853.962 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408853.962 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.962 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538408853.962 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in k 1538408853.962 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1538408853.962 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.962 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.962 * [misc]backup-simplify: Simplify 2 into 2 1538408853.963 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.963 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.963 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.963 * [misc]taylor: Taking taylor expansion of k in k 1538408853.963 * [misc]backup-simplify: Simplify 0 into 0 1538408853.963 * [misc]backup-simplify: Simplify 1 into 1 1538408853.963 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408853.963 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.963 * [misc]backup-simplify: Simplify 2 into 2 1538408853.963 * [misc]taylor: Taking taylor expansion of n in k 1538408853.963 * [misc]backup-simplify: Simplify n into n 1538408853.963 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408853.963 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408853.964 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408853.964 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.964 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538408853.964 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.964 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538408853.965 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538408853.966 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408853.966 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408853.966 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538408853.966 * [misc]backup-simplify: Simplify (exp 0) into 1 1538408853.966 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408853.966 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408853.966 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408853.966 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408853.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.966 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408853.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.966 * [misc]taylor: Taking taylor expansion of k in k 1538408853.966 * [misc]backup-simplify: Simplify 0 into 0 1538408853.966 * [misc]backup-simplify: Simplify 1 into 1 1538408853.966 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408853.967 * [misc]taylor: Taking taylor expansion of PI in k 1538408853.967 * [misc]backup-simplify: Simplify PI into PI 1538408853.967 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408853.967 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408853.967 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.967 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408853.968 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408853.969 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408853.969 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538408853.969 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538408853.969 * [misc]taylor: Taking taylor expansion of n in k 1538408853.969 * [misc]backup-simplify: Simplify n into n 1538408853.969 * [misc]taylor: Taking taylor expansion of k in k 1538408853.969 * [misc]backup-simplify: Simplify 0 into 0 1538408853.969 * [misc]backup-simplify: Simplify 1 into 1 1538408853.969 * [misc]backup-simplify: Simplify (/ n 1) into n 1538408853.969 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.969 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538408853.969 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.970 * [misc]backup-simplify: Simplify 2 into 2 1538408853.970 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.970 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.970 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.970 * [misc]taylor: Taking taylor expansion of k in k 1538408853.970 * [misc]backup-simplify: Simplify 0 into 0 1538408853.970 * [misc]backup-simplify: Simplify 1 into 1 1538408853.970 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538408853.970 * [misc]taylor: Taking taylor expansion of 2 in k 1538408853.970 * [misc]backup-simplify: Simplify 2 into 2 1538408853.970 * [misc]taylor: Taking taylor expansion of n in k 1538408853.971 * [misc]backup-simplify: Simplify n into n 1538408853.971 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538408853.971 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538408853.971 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408853.971 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.971 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538408853.971 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.972 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538408853.973 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538408853.973 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408853.973 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408853.973 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538408853.973 * [misc]backup-simplify: Simplify (exp 0) into 1 1538408853.973 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538408853.973 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538408853.973 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408853.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408853.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.974 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408853.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408853.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408853.974 * [misc]taylor: Taking taylor expansion of k in k 1538408853.974 * [misc]backup-simplify: Simplify 0 into 0 1538408853.974 * [misc]backup-simplify: Simplify 1 into 1 1538408853.974 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408853.974 * [misc]taylor: Taking taylor expansion of PI in k 1538408853.974 * [misc]backup-simplify: Simplify PI into PI 1538408853.974 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408853.974 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408853.974 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.975 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408853.975 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408853.976 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538408853.976 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538408853.976 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538408853.976 * [misc]taylor: Taking taylor expansion of n in k 1538408853.976 * [misc]backup-simplify: Simplify n into n 1538408853.976 * [misc]taylor: Taking taylor expansion of k in k 1538408853.976 * [misc]backup-simplify: Simplify 0 into 0 1538408853.976 * [misc]backup-simplify: Simplify 1 into 1 1538408853.976 * [misc]backup-simplify: Simplify (/ n 1) into n 1538408853.976 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408853.977 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538408853.977 * [misc]backup-simplify: Simplify (* 1 (pow PI 1/2)) into (sqrt PI) 1538408853.978 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt PI)) into (* (sqrt 2) (sqrt PI)) 1538408853.978 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt PI)) 0) into 0 1538408853.978 * [misc]taylor: Taking taylor expansion of 0 in n 1538408853.978 * [misc]backup-simplify: Simplify 0 into 0 1538408853.978 * [misc]backup-simplify: Simplify 0 into 0 1538408853.980 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408853.980 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408853.980 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408853.980 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408853.981 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408853.983 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538408853.984 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (log (* 2 n))) 1538408853.985 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (log (* 2 n))) (pow PI 1/2))) into (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI))))) 1538408853.987 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 1538408853.990 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 n)) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 0)) into (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))) 1538408853.990 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))) in n 1538408853.990 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) n) (sqrt PI))) in n 1538408853.990 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408853.990 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408853.990 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) n) (sqrt PI)) in n 1538408853.990 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1538408853.990 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408853.990 * [misc]taylor: Taking taylor expansion of 2 in n 1538408853.990 * [misc]backup-simplify: Simplify 2 into 2 1538408853.990 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408853.991 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408853.991 * [misc]taylor: Taking taylor expansion of n in n 1538408853.991 * [misc]backup-simplify: Simplify 0 into 0 1538408853.991 * [misc]backup-simplify: Simplify 1 into 1 1538408853.991 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408853.991 * [misc]taylor: Taking taylor expansion of PI in n 1538408853.991 * [misc]backup-simplify: Simplify PI into PI 1538408853.991 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408853.992 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408853.992 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408853.993 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408853.993 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408853.993 * [misc]backup-simplify: Simplify (- 0) into 0 1538408853.993 * [misc]backup-simplify: Simplify 0 into 0 1538408853.993 * [misc]backup-simplify: Simplify 0 into 0 1538408853.993 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1538408853.994 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1538408853.999 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408853.999 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408853.999 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.000 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.001 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538408854.007 * [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))) 1538408854.008 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.008 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538408854.010 * [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 1538408854.010 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.010 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408854.011 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.011 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538408854.013 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 n)) 2)) 1538408854.019 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (log (* 2 n))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (pow (log (* 2 n)) 2)) (pow PI 1/2)))) into (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI)))))) 1538408854.021 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408854.028 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI))))))) (+ (* 0 (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI)))) into (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 1538408854.035 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 (pow n 2))) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (* +nan.0 n)) (* (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))))))) 1538408854.036 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))))))) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))))))) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.036 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.036 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 2)) (sqrt PI)) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.036 * [misc]backup-simplify: Simplify 2 into 2 1538408854.036 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.036 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.036 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of n in n 1538408854.036 * [misc]backup-simplify: Simplify 0 into 0 1538408854.036 * [misc]backup-simplify: Simplify 1 into 1 1538408854.036 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.036 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.036 * [misc]backup-simplify: Simplify PI into PI 1538408854.036 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.037 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.037 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))))) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))))) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.037 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.037 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) n)) (sqrt PI)) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) n)) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.037 * [misc]backup-simplify: Simplify 2 into 2 1538408854.037 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.037 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.037 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.037 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.037 * [misc]backup-simplify: Simplify PI into PI 1538408854.038 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.038 * [misc]taylor: Taking taylor expansion of n in n 1538408854.038 * [misc]backup-simplify: Simplify 0 into 0 1538408854.038 * [misc]backup-simplify: Simplify 1 into 1 1538408854.038 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.038 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.038 * [misc]backup-simplify: Simplify PI into PI 1538408854.038 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.039 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.039 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.039 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.039 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) n)) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.039 * [misc]backup-simplify: Simplify 2 into 2 1538408854.039 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.039 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.039 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) n) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.039 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.039 * [misc]backup-simplify: Simplify 2 into 2 1538408854.039 * [misc]taylor: Taking taylor expansion of n in n 1538408854.039 * [misc]backup-simplify: Simplify 0 into 0 1538408854.039 * [misc]backup-simplify: Simplify 1 into 1 1538408854.039 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.039 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.039 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.039 * [misc]taylor: Taking taylor expansion of n in n 1538408854.039 * [misc]backup-simplify: Simplify 0 into 0 1538408854.040 * [misc]backup-simplify: Simplify 1 into 1 1538408854.040 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.040 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.040 * [misc]backup-simplify: Simplify PI into PI 1538408854.040 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.040 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.041 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538408854.041 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.041 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408854.041 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.042 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.042 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538408854.042 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.042 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408854.042 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.042 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.043 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.043 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.043 * [misc]backup-simplify: Simplify 0 into 0 1538408854.043 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1538408854.044 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (sqrt 2) (sqrt PI))) into (* (sqrt 2) (sqrt PI)) 1538408854.045 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538408854.046 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (sqrt PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538408854.047 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538408854.047 * [misc]backup-simplify: Simplify 0 into 0 1538408854.047 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.048 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1538408854.052 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408854.053 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408854.053 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.053 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.054 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408854.059 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1538408854.060 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.060 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538408854.064 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1538408854.064 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.064 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408854.065 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.065 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538408854.068 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (pow (log (* 2 n)) 3)) 1538408854.083 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (log (* 2 n))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (pow (log (* 2 n)) 2)) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (pow (log (* 2 n)) 3)) (pow PI 1/2))))) into (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (log PI)))) (+ (* 1/48 (* (pow (log (* 2 n)) 3) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 2)))) (* 1/48 (* (pow (log PI) 3) (sqrt PI))))))) 1538408854.083 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408854.099 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (log PI)))) (+ (* 1/48 (* (pow (log (* 2 n)) 3) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 2)))) (* 1/48 (* (pow (log PI) 3) (sqrt PI)))))))) (+ (* 0 (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI))))))) (+ (* 0 (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI))))) into (- (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt PI))))))) 1538408854.119 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 (pow n 3))) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (* +nan.0 (pow n 2))) (+ (* (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (* +nan.0 n)) (* (- (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt PI))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))))))) 1538408854.119 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))))))) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))))))))) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.120 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.120 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 3)) (sqrt PI)) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.120 * [misc]backup-simplify: Simplify 2 into 2 1538408854.120 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.120 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.120 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of n in n 1538408854.120 * [misc]backup-simplify: Simplify 0 into 0 1538408854.120 * [misc]backup-simplify: Simplify 1 into 1 1538408854.120 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.120 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.120 * [misc]backup-simplify: Simplify PI into PI 1538408854.121 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.121 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))))) in n 1538408854.121 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))))))) in n 1538408854.121 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) in n 1538408854.121 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.121 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.121 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI)) in n 1538408854.121 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 2))) in n 1538408854.121 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.121 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.121 * [misc]backup-simplify: Simplify 2 into 2 1538408854.121 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.122 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.122 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1538408854.122 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.122 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.122 * [misc]backup-simplify: Simplify PI into PI 1538408854.122 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.122 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538408854.122 * [misc]taylor: Taking taylor expansion of n in n 1538408854.122 * [misc]backup-simplify: Simplify 0 into 0 1538408854.122 * [misc]backup-simplify: Simplify 1 into 1 1538408854.122 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.122 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.122 * [misc]backup-simplify: Simplify PI into PI 1538408854.122 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.123 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.123 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))))) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.123 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.123 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI)) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.123 * [misc]backup-simplify: Simplify 2 into 2 1538408854.123 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.123 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.123 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) n)) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.123 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.123 * [misc]backup-simplify: Simplify 2 into 2 1538408854.123 * [misc]taylor: Taking taylor expansion of n in n 1538408854.123 * [misc]backup-simplify: Simplify 0 into 0 1538408854.123 * [misc]backup-simplify: Simplify 1 into 1 1538408854.124 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.124 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.124 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.124 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538408854.124 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.124 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.124 * [misc]backup-simplify: Simplify PI into PI 1538408854.124 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.124 * [misc]taylor: Taking taylor expansion of n in n 1538408854.124 * [misc]backup-simplify: Simplify 0 into 0 1538408854.124 * [misc]backup-simplify: Simplify 1 into 1 1538408854.124 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.124 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.124 * [misc]backup-simplify: Simplify PI into PI 1538408854.125 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.125 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.125 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))) in n 1538408854.125 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))) in n 1538408854.125 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) in n 1538408854.125 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.125 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.125 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI)) in n 1538408854.125 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) n)) in n 1538408854.125 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.125 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.125 * [misc]backup-simplify: Simplify 2 into 2 1538408854.125 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.125 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.126 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1538408854.126 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538408854.126 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.126 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.126 * [misc]backup-simplify: Simplify PI into PI 1538408854.126 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.126 * [misc]taylor: Taking taylor expansion of n in n 1538408854.126 * [misc]backup-simplify: Simplify 0 into 0 1538408854.126 * [misc]backup-simplify: Simplify 1 into 1 1538408854.126 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.126 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.126 * [misc]backup-simplify: Simplify PI into PI 1538408854.126 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.127 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.127 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.127 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.127 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI)) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.127 * [misc]backup-simplify: Simplify 2 into 2 1538408854.127 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.127 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.127 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 2)) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.127 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.127 * [misc]backup-simplify: Simplify 2 into 2 1538408854.127 * [misc]taylor: Taking taylor expansion of n in n 1538408854.127 * [misc]backup-simplify: Simplify 0 into 0 1538408854.127 * [misc]backup-simplify: Simplify 1 into 1 1538408854.127 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.127 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.128 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.128 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538408854.128 * [misc]taylor: Taking taylor expansion of n in n 1538408854.128 * [misc]backup-simplify: Simplify 0 into 0 1538408854.128 * [misc]backup-simplify: Simplify 1 into 1 1538408854.128 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.128 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.128 * [misc]backup-simplify: Simplify PI into PI 1538408854.128 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.128 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.128 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))) in n 1538408854.128 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))) in n 1538408854.128 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.128 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.128 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)) in n 1538408854.128 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) in n 1538408854.128 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.129 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.129 * [misc]backup-simplify: Simplify 2 into 2 1538408854.129 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.129 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.129 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) n) in n 1538408854.129 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538408854.129 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.129 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.129 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.129 * [misc]backup-simplify: Simplify 2 into 2 1538408854.129 * [misc]taylor: Taking taylor expansion of n in n 1538408854.129 * [misc]backup-simplify: Simplify 0 into 0 1538408854.129 * [misc]backup-simplify: Simplify 1 into 1 1538408854.129 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.129 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.129 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.129 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.130 * [misc]taylor: Taking taylor expansion of n in n 1538408854.130 * [misc]backup-simplify: Simplify 0 into 0 1538408854.130 * [misc]backup-simplify: Simplify 1 into 1 1538408854.130 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.130 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.130 * [misc]backup-simplify: Simplify PI into PI 1538408854.130 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.130 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.131 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.131 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538408854.131 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538408854.131 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.132 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408854.132 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.132 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538408854.133 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1538408854.133 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.134 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408854.134 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.134 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.134 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.134 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538408854.135 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1538408854.135 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.135 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408854.135 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.135 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.136 * [misc]backup-simplify: Simplify 0 into 0 1538408854.138 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.139 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1538408854.139 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (log PI)) (* 0 0)) into (* (sqrt 2) (log PI)) 1538408854.141 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (log PI)) (sqrt PI))) into (* (* (sqrt 2) (log PI)) (sqrt PI)) 1538408854.142 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))) 1538408854.142 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.143 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408854.144 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408854.144 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538408854.145 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (log 2) (log n))) (* 0 0)) into (+ (* (log 2) (sqrt 2)) (* (sqrt 2) (log n))) 1538408854.145 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (+ (* (log 2) (sqrt 2)) (* (sqrt 2) (log n))) (sqrt PI))) into (+ (* (* (sqrt 2) (log n)) (sqrt PI)) (* (* (log 2) (sqrt 2)) (sqrt PI))) 1538408854.147 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (* (sqrt 2) (log n)) (sqrt PI)) (* (* (log 2) (sqrt 2)) (sqrt PI)))) (* 0 0)) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))) 1538408854.148 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))) 1538408854.151 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))))))) 1538408854.154 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) 1538408854.157 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))))))) 1538408854.160 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) 1538408854.163 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) 1538408854.164 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1538408854.165 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408854.165 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1538408854.166 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (* 0 (sqrt PI)))) into 0 1538408854.167 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) (sqrt PI))) (* 0 0))) into 0 1538408854.167 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.167 * [misc]backup-simplify: Simplify 0 into 0 1538408854.167 * [misc]backup-simplify: Simplify 0 into 0 1538408854.168 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.170 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 2)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 4)) 1538408854.184 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538408854.185 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538408854.185 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.188 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538408854.197 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 4) 24)) (* (/ (pow (- (* 1/2 (log PI))) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/384 (* (pow (log PI) 4) (sqrt PI))) 1538408854.197 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.198 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1538408854.201 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 n) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 n) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 n) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 n) 1)))) 24) into 0 1538408854.202 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.202 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.202 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.202 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538408854.202 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.203 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 n))))))) into 0 1538408854.205 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 4) 24)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow (log (* 2 n)) 4)) 1538408854.218 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/384 (* (pow (log PI) 4) (sqrt PI)))) (+ (* (* -1/2 (log (* 2 n))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* 1/8 (pow (log (* 2 n)) 2)) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/48 (pow (log (* 2 n)) 3)) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/384 (pow (log (* 2 n)) 4)) (pow PI 1/2)))))) into (+ (* 1/96 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 3)))) (+ (* 1/96 (* (sqrt PI) (* (pow (log (* 2 n)) 3) (log PI)))) (+ (* 1/384 (* (pow (log PI) 4) (sqrt PI))) (+ (* 1/384 (* (pow (log (* 2 n)) 4) (sqrt PI))) (* 1/64 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (pow (log PI) 2)))))))) 1538408854.220 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408854.258 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* 1/96 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 3)))) (+ (* 1/96 (* (sqrt PI) (* (pow (log (* 2 n)) 3) (log PI)))) (+ (* 1/384 (* (pow (log PI) 4) (sqrt PI))) (+ (* 1/384 (* (pow (log (* 2 n)) 4) (sqrt PI))) (* 1/64 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (pow (log PI) 2))))))))) (+ (* 0 (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (log PI)))) (+ (* 1/48 (* (pow (log (* 2 n)) 3) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 2)))) (* 1/48 (* (pow (log PI) 3) (sqrt PI)))))))) (+ (* 0 (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI))))))) (+ (* 0 (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI)))))) into (+ (* 1/384 (* (* (sqrt 2) (pow (log (* 2 n)) 4)) (sqrt PI))) (+ (* 1/384 (* (* (sqrt 2) (pow (log PI) 4)) (sqrt PI))) (+ (* 1/64 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/96 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) (log PI))) (sqrt PI))) (* 1/96 (* (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 3))) (sqrt PI))))))) 1538408854.315 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 (pow n 4))) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (* +nan.0 (pow n 3))) (+ (* (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (* +nan.0 (pow n 2))) (+ (* (- (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt PI))))))) (* +nan.0 n)) (* (+ (* 1/384 (* (* (sqrt 2) (pow (log (* 2 n)) 4)) (sqrt PI))) (+ (* 1/384 (* (* (sqrt 2) (pow (log PI) 4)) (sqrt PI))) (+ (* 1/64 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/96 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) (log PI))) (sqrt PI))) (* 1/96 (* (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 3))) (sqrt PI))))))) 0))))) into (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))))))) 1538408854.315 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))))))) in n 1538408854.315 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))))))))) in n 1538408854.315 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) in n 1538408854.315 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.316 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.316 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n)))) in n 1538408854.316 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.316 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.316 * [misc]backup-simplify: Simplify PI into PI 1538408854.316 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.317 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.317 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))) in n 1538408854.317 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.317 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.317 * [misc]backup-simplify: Simplify 2 into 2 1538408854.317 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.317 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.317 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (* (log PI) n)) in n 1538408854.317 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538408854.317 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.317 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.317 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.317 * [misc]backup-simplify: Simplify 2 into 2 1538408854.317 * [misc]taylor: Taking taylor expansion of n in n 1538408854.317 * [misc]backup-simplify: Simplify 0 into 0 1538408854.317 * [misc]backup-simplify: Simplify 1 into 1 1538408854.317 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.318 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.318 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.318 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.318 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538408854.318 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.318 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.318 * [misc]backup-simplify: Simplify PI into PI 1538408854.318 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.318 * [misc]taylor: Taking taylor expansion of n in n 1538408854.318 * [misc]backup-simplify: Simplify 0 into 0 1538408854.318 * [misc]backup-simplify: Simplify 1 into 1 1538408854.318 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))))) in n 1538408854.318 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))))))) in n 1538408854.318 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) in n 1538408854.318 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.319 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.319 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI)) in n 1538408854.319 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) in n 1538408854.319 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.319 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.319 * [misc]backup-simplify: Simplify 2 into 2 1538408854.319 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.319 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.319 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 3) n) in n 1538408854.319 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 3) in n 1538408854.319 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.319 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.319 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.319 * [misc]backup-simplify: Simplify 2 into 2 1538408854.319 * [misc]taylor: Taking taylor expansion of n in n 1538408854.319 * [misc]backup-simplify: Simplify 0 into 0 1538408854.319 * [misc]backup-simplify: Simplify 1 into 1 1538408854.319 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.319 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.319 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.320 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.320 * [misc]taylor: Taking taylor expansion of n in n 1538408854.320 * [misc]backup-simplify: Simplify 0 into 0 1538408854.320 * [misc]backup-simplify: Simplify 1 into 1 1538408854.320 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.320 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.320 * [misc]backup-simplify: Simplify PI into PI 1538408854.320 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.320 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.320 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))) in n 1538408854.320 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))))) in n 1538408854.321 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) in n 1538408854.321 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.321 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.321 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 4)) (sqrt PI)) in n 1538408854.321 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 4)) in n 1538408854.321 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.321 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.321 * [misc]backup-simplify: Simplify 2 into 2 1538408854.321 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.321 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.321 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1538408854.321 * [misc]taylor: Taking taylor expansion of n in n 1538408854.321 * [misc]backup-simplify: Simplify 0 into 0 1538408854.321 * [misc]backup-simplify: Simplify 1 into 1 1538408854.321 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.321 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.321 * [misc]backup-simplify: Simplify PI into PI 1538408854.321 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.322 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.322 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.322 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.322 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI)) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.322 * [misc]backup-simplify: Simplify 2 into 2 1538408854.322 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.322 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.322 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) (pow n 2))) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.322 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.322 * [misc]backup-simplify: Simplify 2 into 2 1538408854.322 * [misc]taylor: Taking taylor expansion of n in n 1538408854.322 * [misc]backup-simplify: Simplify 0 into 0 1538408854.322 * [misc]backup-simplify: Simplify 1 into 1 1538408854.322 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.323 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.323 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.323 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1538408854.323 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.323 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.323 * [misc]backup-simplify: Simplify PI into PI 1538408854.323 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.323 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538408854.323 * [misc]taylor: Taking taylor expansion of n in n 1538408854.323 * [misc]backup-simplify: Simplify 0 into 0 1538408854.323 * [misc]backup-simplify: Simplify 1 into 1 1538408854.323 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.323 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.323 * [misc]backup-simplify: Simplify PI into PI 1538408854.323 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.324 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.324 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.324 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.324 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI)) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.324 * [misc]backup-simplify: Simplify 2 into 2 1538408854.324 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.324 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.324 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (pow n 2)) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.324 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.324 * [misc]backup-simplify: Simplify 2 into 2 1538408854.324 * [misc]taylor: Taking taylor expansion of n in n 1538408854.324 * [misc]backup-simplify: Simplify 0 into 0 1538408854.324 * [misc]backup-simplify: Simplify 1 into 1 1538408854.325 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.325 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.325 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.325 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.325 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538408854.325 * [misc]taylor: Taking taylor expansion of n in n 1538408854.325 * [misc]backup-simplify: Simplify 0 into 0 1538408854.325 * [misc]backup-simplify: Simplify 1 into 1 1538408854.325 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.325 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.325 * [misc]backup-simplify: Simplify PI into PI 1538408854.325 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.326 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.326 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.326 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.326 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI)) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.326 * [misc]backup-simplify: Simplify 2 into 2 1538408854.326 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.326 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.326 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (pow n 2)) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.326 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.326 * [misc]backup-simplify: Simplify PI into PI 1538408854.327 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.327 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538408854.327 * [misc]taylor: Taking taylor expansion of n in n 1538408854.327 * [misc]backup-simplify: Simplify 0 into 0 1538408854.327 * [misc]backup-simplify: Simplify 1 into 1 1538408854.327 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.327 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.327 * [misc]backup-simplify: Simplify PI into PI 1538408854.327 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.328 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.328 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.328 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.328 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI)) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 3) n)) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.328 * [misc]backup-simplify: Simplify 2 into 2 1538408854.328 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.328 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.328 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 3) n) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of (pow (log PI) 3) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.328 * [misc]backup-simplify: Simplify PI into PI 1538408854.328 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.328 * [misc]taylor: Taking taylor expansion of n in n 1538408854.328 * [misc]backup-simplify: Simplify 0 into 0 1538408854.328 * [misc]backup-simplify: Simplify 1 into 1 1538408854.328 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.328 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.328 * [misc]backup-simplify: Simplify PI into PI 1538408854.329 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.329 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.329 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))) in n 1538408854.329 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))) in n 1538408854.329 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) in n 1538408854.329 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.329 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.329 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n)))) in n 1538408854.329 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.329 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.329 * [misc]backup-simplify: Simplify PI into PI 1538408854.329 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.330 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.330 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))) in n 1538408854.330 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.330 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.330 * [misc]backup-simplify: Simplify 2 into 2 1538408854.330 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.330 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.330 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (pow (log PI) 2) n)) in n 1538408854.330 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.330 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.330 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.330 * [misc]backup-simplify: Simplify 2 into 2 1538408854.330 * [misc]taylor: Taking taylor expansion of n in n 1538408854.330 * [misc]backup-simplify: Simplify 0 into 0 1538408854.330 * [misc]backup-simplify: Simplify 1 into 1 1538408854.331 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.331 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.331 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.331 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.331 * [misc]backup-simplify: Simplify PI into PI 1538408854.331 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.331 * [misc]taylor: Taking taylor expansion of n in n 1538408854.331 * [misc]backup-simplify: Simplify 0 into 0 1538408854.331 * [misc]backup-simplify: Simplify 1 into 1 1538408854.331 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.331 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.331 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI)) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 3))) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.331 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.331 * [misc]backup-simplify: Simplify 2 into 2 1538408854.331 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.332 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.332 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 3)) in n 1538408854.332 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.332 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.332 * [misc]backup-simplify: Simplify PI into PI 1538408854.332 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.332 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538408854.332 * [misc]taylor: Taking taylor expansion of n in n 1538408854.332 * [misc]backup-simplify: Simplify 0 into 0 1538408854.332 * [misc]backup-simplify: Simplify 1 into 1 1538408854.332 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.332 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.332 * [misc]backup-simplify: Simplify PI into PI 1538408854.332 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.333 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.333 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.333 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.333 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.333 * [misc]backup-simplify: Simplify 2 into 2 1538408854.333 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.333 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.333 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 3)) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538408854.333 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.333 * [misc]backup-simplify: Simplify 2 into 2 1538408854.333 * [misc]taylor: Taking taylor expansion of n in n 1538408854.333 * [misc]backup-simplify: Simplify 0 into 0 1538408854.333 * [misc]backup-simplify: Simplify 1 into 1 1538408854.333 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538408854.333 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538408854.334 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.334 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538408854.334 * [misc]taylor: Taking taylor expansion of n in n 1538408854.334 * [misc]backup-simplify: Simplify 0 into 0 1538408854.334 * [misc]backup-simplify: Simplify 1 into 1 1538408854.334 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538408854.334 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.334 * [misc]backup-simplify: Simplify PI into PI 1538408854.334 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538408854.334 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538408854.335 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.335 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.336 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538408854.336 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538408854.337 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1538408854.337 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.338 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1538408854.338 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.338 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.339 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.339 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.339 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538408854.340 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (+ (log 2) (log n)) 2)) into (pow (+ (log 2) (log n)) 3) 1538408854.341 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 3) 0) into 0 1538408854.341 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.342 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408854.342 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.343 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538408854.344 * [misc]backup-simplify: Simplify (* (log PI) (pow (log PI) 2)) into (pow (log PI) 3) 1538408854.345 * [misc]backup-simplify: Simplify (* (pow (log PI) 3) 0) into 0 1538408854.346 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.346 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538408854.346 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.347 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.348 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538408854.349 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1538408854.349 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538408854.349 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538408854.350 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1538408854.350 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538408854.350 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.351 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.351 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.351 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.352 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.352 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.352 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.353 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.353 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.353 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.353 * [misc]backup-simplify: Simplify 0 into 0 1538408854.353 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.357 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1538408854.357 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408854.360 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408854.360 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) (log PI)) (* 0 0)) into (+ (* (log 2) (log PI)) (* (log PI) (log n))) 1538408854.362 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* (log 2) (log PI)) (* (log PI) (log n)))) (* 0 0)) into (+ (* (sqrt 2) (* (log PI) (log n))) (* (log 2) (* (sqrt 2) (log PI)))) 1538408854.364 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (+ (* (sqrt 2) (* (log PI) (log n))) (* (log 2) (* (sqrt 2) (log PI)))) (sqrt PI))) into (+ (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI)) (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))) 1538408854.367 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI)) (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))) (* 0 0)) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))) 1538408854.370 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.371 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (log PI))) into 0 1538408854.373 * [misc]backup-simplify: Simplify (+ (* (pow (log PI) 2) 1) (* 0 0)) into (pow (log PI) 2) 1538408854.375 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (pow (log PI) 2)) (* 0 0)) into (* (sqrt 2) (pow (log PI) 2)) 1538408854.379 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) into (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)) 1538408854.383 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))) 1538408854.383 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.383 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538408854.386 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408854.386 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538408854.387 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538408854.392 * [misc]backup-simplify: Simplify (+ (* (pow (+ (log 2) (log n)) 2) 1) (* 0 0)) into (+ (pow (log n) 2) (+ (* 2 (* (log 2) (log n))) (pow (log 2) 2))) 1538408854.395 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (pow (log n) 2) (+ (* 2 (* (log 2) (log n))) (pow (log 2) 2)))) (* 0 0)) into (+ (* (pow (log 2) 2) (sqrt 2)) (+ (* (sqrt 2) (pow (log n) 2)) (* 2 (* (log 2) (* (sqrt 2) (log n)))))) 1538408854.399 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (+ (* (pow (log 2) 2) (sqrt 2)) (+ (* (sqrt 2) (pow (log n) 2)) (* 2 (* (log 2) (* (sqrt 2) (log n)))))) (sqrt PI))) into (+ (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI)) (+ (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI)) (* 2 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))) 1538408854.406 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI)) (+ (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI)) (* 2 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))) (* 0 0)) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538408854.416 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538408854.426 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538408854.434 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538408854.442 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))))))) 1538408854.453 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))))) 1538408854.465 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538408854.488 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538408854.506 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538408854.523 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538408854.541 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538408854.561 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538408854.577 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538408854.603 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) (* n (pow k 2))) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) (* n 1)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log PI) k))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (log PI) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n k))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (pow (log n) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (* n (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (pow (log PI) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log PI) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log n) k))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))))))))))))))))))))) 1538408854.604 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (* (/ 1 (sqrt (* 2 (/ 1 n)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2)))))) into (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) 1538408854.604 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in (k n) around 0 1538408854.604 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in n 1538408854.604 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408854.604 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.604 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.604 * [misc]backup-simplify: Simplify 2 into 2 1538408854.605 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.605 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.605 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of k in n 1538408854.605 * [misc]backup-simplify: Simplify k into k 1538408854.605 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.605 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408854.605 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.605 * [misc]backup-simplify: Simplify 2 into 2 1538408854.605 * [misc]taylor: Taking taylor expansion of n in n 1538408854.605 * [misc]backup-simplify: Simplify 0 into 0 1538408854.605 * [misc]backup-simplify: Simplify 1 into 1 1538408854.606 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408854.606 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.606 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.606 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408854.606 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408854.607 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538408854.607 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408854.607 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408854.607 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408854.607 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408854.607 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408854.607 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.607 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.607 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.607 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.607 * [misc]taylor: Taking taylor expansion of k in n 1538408854.607 * [misc]backup-simplify: Simplify k into k 1538408854.607 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.607 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.607 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.608 * [misc]backup-simplify: Simplify PI into PI 1538408854.608 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.608 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.608 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408854.608 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408854.609 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408854.609 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408854.609 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538408854.609 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538408854.609 * [misc]taylor: Taking taylor expansion of k in n 1538408854.609 * [misc]backup-simplify: Simplify k into k 1538408854.609 * [misc]taylor: Taking taylor expansion of n in n 1538408854.609 * [misc]backup-simplify: Simplify 0 into 0 1538408854.609 * [misc]backup-simplify: Simplify 1 into 1 1538408854.609 * [misc]backup-simplify: Simplify (/ k 1) into k 1538408854.610 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.610 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538408854.610 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in k 1538408854.610 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in k 1538408854.610 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408854.610 * [misc]taylor: Taking taylor expansion of 2 in k 1538408854.610 * [misc]backup-simplify: Simplify 2 into 2 1538408854.610 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.610 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.610 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1538408854.610 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538408854.610 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408854.610 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408854.611 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538408854.611 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.611 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.611 * [misc]taylor: Taking taylor expansion of k in k 1538408854.611 * [misc]backup-simplify: Simplify 0 into 0 1538408854.611 * [misc]backup-simplify: Simplify 1 into 1 1538408854.611 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.611 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408854.611 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408854.611 * [misc]taylor: Taking taylor expansion of 2 in k 1538408854.611 * [misc]backup-simplify: Simplify 2 into 2 1538408854.611 * [misc]taylor: Taking taylor expansion of n in k 1538408854.611 * [misc]backup-simplify: Simplify n into n 1538408854.611 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408854.611 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408854.611 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.612 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.612 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408854.612 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538408854.612 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408854.612 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408854.612 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408854.612 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408854.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.612 * [misc]taylor: Taking taylor expansion of k in k 1538408854.612 * [misc]backup-simplify: Simplify 0 into 0 1538408854.612 * [misc]backup-simplify: Simplify 1 into 1 1538408854.612 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.612 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.613 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.613 * [misc]backup-simplify: Simplify PI into PI 1538408854.613 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.613 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.613 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.613 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408854.614 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408854.614 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408854.614 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538408854.614 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538408854.614 * [misc]taylor: Taking taylor expansion of k in k 1538408854.614 * [misc]backup-simplify: Simplify 0 into 0 1538408854.615 * [misc]backup-simplify: Simplify 1 into 1 1538408854.615 * [misc]taylor: Taking taylor expansion of n in k 1538408854.615 * [misc]backup-simplify: Simplify n into n 1538408854.615 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538408854.615 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.615 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538408854.615 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in k 1538408854.615 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in k 1538408854.615 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538408854.615 * [misc]taylor: Taking taylor expansion of 2 in k 1538408854.615 * [misc]backup-simplify: Simplify 2 into 2 1538408854.615 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.616 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.616 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of k in k 1538408854.616 * [misc]backup-simplify: Simplify 0 into 0 1538408854.616 * [misc]backup-simplify: Simplify 1 into 1 1538408854.616 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.616 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538408854.616 * [misc]taylor: Taking taylor expansion of 2 in k 1538408854.616 * [misc]backup-simplify: Simplify 2 into 2 1538408854.616 * [misc]taylor: Taking taylor expansion of n in k 1538408854.616 * [misc]backup-simplify: Simplify n into n 1538408854.616 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538408854.617 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538408854.617 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.617 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.617 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538408854.617 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538408854.617 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538408854.617 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538408854.617 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408854.617 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408854.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.617 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.618 * [misc]taylor: Taking taylor expansion of k in k 1538408854.618 * [misc]backup-simplify: Simplify 0 into 0 1538408854.618 * [misc]backup-simplify: Simplify 1 into 1 1538408854.618 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.618 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.618 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.618 * [misc]backup-simplify: Simplify PI into PI 1538408854.618 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.618 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.619 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.619 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408854.620 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408854.620 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408854.620 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538408854.620 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538408854.620 * [misc]taylor: Taking taylor expansion of k in k 1538408854.620 * [misc]backup-simplify: Simplify 0 into 0 1538408854.620 * [misc]backup-simplify: Simplify 1 into 1 1538408854.620 * [misc]taylor: Taking taylor expansion of n in k 1538408854.620 * [misc]backup-simplify: Simplify n into n 1538408854.621 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538408854.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.621 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538408854.621 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538408854.622 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538408854.623 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1538408854.623 * [misc]taylor: Taking taylor expansion of 0 in n 1538408854.623 * [misc]backup-simplify: Simplify 0 into 0 1538408854.623 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538408854.624 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538408854.624 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (/ +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n))) 1538408854.624 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n))) in n 1538408854.624 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n)) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.625 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.625 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538408854.625 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408854.625 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408854.625 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.625 * [misc]backup-simplify: Simplify 2 into 2 1538408854.625 * [misc]taylor: Taking taylor expansion of n in n 1538408854.625 * [misc]backup-simplify: Simplify 0 into 0 1538408854.625 * [misc]backup-simplify: Simplify 1 into 1 1538408854.625 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408854.625 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.625 * [misc]taylor: Taking taylor expansion of k in n 1538408854.625 * [misc]backup-simplify: Simplify k into k 1538408854.626 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408854.626 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408854.626 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538408854.627 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538408854.627 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408854.627 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408854.627 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.627 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.627 * [misc]backup-simplify: Simplify 2 into 2 1538408854.627 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.628 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408854.628 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408854.628 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408854.628 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408854.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.628 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.628 * [misc]taylor: Taking taylor expansion of k in n 1538408854.628 * [misc]backup-simplify: Simplify k into k 1538408854.628 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.628 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.628 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.628 * [misc]backup-simplify: Simplify PI into PI 1538408854.628 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.628 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.629 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408854.629 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408854.629 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408854.629 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408854.630 * [misc]taylor: Taking taylor expansion of n in n 1538408854.630 * [misc]backup-simplify: Simplify 0 into 0 1538408854.630 * [misc]backup-simplify: Simplify 1 into 1 1538408854.630 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538408854.631 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538408854.631 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1) into (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408854.632 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) 1538408854.633 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538408854.634 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538408854.634 * [misc]backup-simplify: Simplify 0 into 0 1538408854.634 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1538408854.635 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1538408854.635 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538408854.636 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408854.637 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538408854.638 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2)))) 1538408854.638 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2)))) in n 1538408854.638 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2))) in n 1538408854.638 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.638 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.638 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2)) in n 1538408854.639 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408854.639 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538408854.639 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538408854.639 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538408854.639 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408854.639 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538408854.639 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408854.639 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408854.639 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.639 * [misc]backup-simplify: Simplify 2 into 2 1538408854.639 * [misc]taylor: Taking taylor expansion of n in n 1538408854.639 * [misc]backup-simplify: Simplify 0 into 0 1538408854.639 * [misc]backup-simplify: Simplify 1 into 1 1538408854.639 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408854.639 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.639 * [misc]taylor: Taking taylor expansion of k in n 1538408854.639 * [misc]backup-simplify: Simplify k into k 1538408854.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408854.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408854.640 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538408854.641 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538408854.641 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408854.641 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408854.641 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.641 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.641 * [misc]backup-simplify: Simplify 2 into 2 1538408854.641 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.641 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.641 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408854.641 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408854.642 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408854.642 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408854.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.642 * [misc]taylor: Taking taylor expansion of k in n 1538408854.642 * [misc]backup-simplify: Simplify k into k 1538408854.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.642 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.642 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.642 * [misc]backup-simplify: Simplify PI into PI 1538408854.642 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.642 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.642 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408854.643 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408854.643 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408854.644 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408854.644 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538408854.644 * [misc]taylor: Taking taylor expansion of n in n 1538408854.644 * [misc]backup-simplify: Simplify 0 into 0 1538408854.644 * [misc]backup-simplify: Simplify 1 into 1 1538408854.644 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538408854.645 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538408854.645 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408854.646 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1) into (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408854.649 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408854.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408854.649 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.650 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538408854.652 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.652 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538408854.652 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408854.655 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408854.655 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538408854.656 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538408854.657 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.658 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538408854.658 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538408854.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)))) into 0 1538408854.660 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538408854.660 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.660 * [misc]backup-simplify: Simplify 0 into 0 1538408854.663 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.663 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408854.663 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408854.664 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.665 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538408854.666 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.667 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538408854.667 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408854.670 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408854.670 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538408854.671 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538408854.672 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.673 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538408854.674 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)))) into 0 1538408854.675 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538408854.675 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.675 * [misc]backup-simplify: Simplify 0 into 0 1538408854.675 * [misc]backup-simplify: Simplify 0 into 0 1538408854.675 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1538408854.676 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1538408854.677 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538408854.677 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538408854.678 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1538408854.679 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (/ +nan.0 (pow n 3))) (+ (* 0 (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3)))) 1538408854.679 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3)))) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3))) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.679 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.679 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3)) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538408854.679 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538408854.679 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538408854.679 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.680 * [misc]backup-simplify: Simplify 2 into 2 1538408854.680 * [misc]taylor: Taking taylor expansion of n in n 1538408854.680 * [misc]backup-simplify: Simplify 0 into 0 1538408854.680 * [misc]backup-simplify: Simplify 1 into 1 1538408854.680 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538408854.680 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538408854.680 * [misc]taylor: Taking taylor expansion of k in n 1538408854.680 * [misc]backup-simplify: Simplify k into k 1538408854.680 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408854.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538408854.681 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538408854.681 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538408854.682 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538408854.682 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538408854.682 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538408854.682 * [misc]taylor: Taking taylor expansion of 2 in n 1538408854.682 * [misc]backup-simplify: Simplify 2 into 2 1538408854.682 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538408854.682 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538408854.682 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538408854.682 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538408854.682 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538408854.682 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538408854.682 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.682 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.682 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.683 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.683 * [misc]taylor: Taking taylor expansion of k in n 1538408854.683 * [misc]backup-simplify: Simplify k into k 1538408854.683 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.683 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.683 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.683 * [misc]backup-simplify: Simplify PI into PI 1538408854.683 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.683 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.683 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538408854.684 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538408854.684 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408854.685 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538408854.685 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538408854.685 * [misc]taylor: Taking taylor expansion of n in n 1538408854.685 * [misc]backup-simplify: Simplify 0 into 0 1538408854.685 * [misc]backup-simplify: Simplify 1 into 1 1538408854.685 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538408854.686 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538408854.686 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408854.686 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538408854.687 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1) into (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538408854.690 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.690 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408854.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408854.690 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.691 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538408854.696 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408854.696 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408854.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408854.696 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.697 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.697 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538408854.699 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408854.699 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.700 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408854.701 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538408854.701 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538408854.702 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538408854.702 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538408854.703 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538408854.704 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.704 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538408854.704 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.709 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408854.710 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408854.710 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1538408854.711 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408854.712 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538408854.712 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538408854.712 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538408854.712 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538408854.713 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538408854.713 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538408854.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)))) into 0 1538408854.714 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.715 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408854.715 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.715 * [misc]backup-simplify: Simplify 0 into 0 1538408854.718 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408854.718 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408854.718 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408854.718 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.719 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538408854.721 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408854.722 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538408854.722 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538408854.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.726 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538408854.727 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408854.727 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1538408854.729 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408854.730 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538408854.731 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538408854.732 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.733 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538408854.733 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.733 * [misc]backup-simplify: Simplify 0 into 0 1538408854.734 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* n (pow PI (- 1/2 (* 1/2 k)))))) k)) 1538408854.735 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (* (/ 1 (sqrt (* 2 (/ 1 (- n))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2)))))) into (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1538408854.736 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1538408854.736 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n 1538408854.736 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538408854.736 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538408854.736 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408854.736 * [misc]taylor: Taking taylor expansion of -2 in n 1538408854.736 * [misc]backup-simplify: Simplify -2 into -2 1538408854.736 * [misc]taylor: Taking taylor expansion of n in n 1538408854.736 * [misc]backup-simplify: Simplify 0 into 0 1538408854.736 * [misc]backup-simplify: Simplify 1 into 1 1538408854.736 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408854.736 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.737 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538408854.737 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of k in n 1538408854.737 * [misc]backup-simplify: Simplify k into k 1538408854.737 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.737 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408854.737 * [misc]taylor: Taking taylor expansion of -2 in n 1538408854.737 * [misc]backup-simplify: Simplify -2 into -2 1538408854.737 * [misc]taylor: Taking taylor expansion of n in n 1538408854.737 * [misc]backup-simplify: Simplify 0 into 0 1538408854.737 * [misc]backup-simplify: Simplify 1 into 1 1538408854.737 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408854.737 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408854.738 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.738 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408854.738 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538408854.739 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538408854.739 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408854.739 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408854.739 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408854.739 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408854.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.739 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.739 * [misc]taylor: Taking taylor expansion of k in n 1538408854.739 * [misc]backup-simplify: Simplify k into k 1538408854.739 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.739 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.739 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.739 * [misc]backup-simplify: Simplify PI into PI 1538408854.739 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.739 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.740 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408854.740 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408854.740 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408854.741 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538408854.741 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538408854.741 * [misc]taylor: Taking taylor expansion of -1 in n 1538408854.741 * [misc]backup-simplify: Simplify -1 into -1 1538408854.741 * [misc]taylor: Taking taylor expansion of k in n 1538408854.741 * [misc]backup-simplify: Simplify k into k 1538408854.741 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538408854.741 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538408854.741 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538408854.741 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538408854.742 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538408854.742 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538408854.745 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.745 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408854.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408854.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.746 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538408854.748 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.748 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408854.750 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408854.751 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408854.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408854.751 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408854.751 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538408854.753 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.753 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538408854.754 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.755 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))) 1538408854.755 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1538408854.755 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1538408854.755 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538408854.755 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408854.755 * [misc]taylor: Taking taylor expansion of -2 in k 1538408854.755 * [misc]backup-simplify: Simplify -2 into -2 1538408854.755 * [misc]taylor: Taking taylor expansion of n in k 1538408854.755 * [misc]backup-simplify: Simplify n into n 1538408854.755 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408854.755 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538408854.755 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538408854.755 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538408854.755 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538408854.755 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538408854.756 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538408854.756 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538408854.756 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.756 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.756 * [misc]taylor: Taking taylor expansion of k in k 1538408854.756 * [misc]backup-simplify: Simplify 0 into 0 1538408854.756 * [misc]backup-simplify: Simplify 1 into 1 1538408854.756 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.756 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408854.756 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408854.756 * [misc]taylor: Taking taylor expansion of -2 in k 1538408854.756 * [misc]backup-simplify: Simplify -2 into -2 1538408854.756 * [misc]taylor: Taking taylor expansion of n in k 1538408854.756 * [misc]backup-simplify: Simplify n into n 1538408854.756 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408854.756 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408854.756 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.756 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408854.757 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538408854.757 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408854.757 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408854.757 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408854.757 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408854.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.757 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.757 * [misc]taylor: Taking taylor expansion of k in k 1538408854.757 * [misc]backup-simplify: Simplify 0 into 0 1538408854.757 * [misc]backup-simplify: Simplify 1 into 1 1538408854.757 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.757 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.757 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.757 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.757 * [misc]backup-simplify: Simplify PI into PI 1538408854.758 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.758 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.758 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408854.758 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408854.759 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408854.759 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408854.759 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408854.759 * [misc]taylor: Taking taylor expansion of -1 in k 1538408854.759 * [misc]backup-simplify: Simplify -1 into -1 1538408854.759 * [misc]taylor: Taking taylor expansion of k in k 1538408854.759 * [misc]backup-simplify: Simplify 0 into 0 1538408854.759 * [misc]backup-simplify: Simplify 1 into 1 1538408854.759 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408854.759 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.760 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408854.760 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538408854.761 * [misc]backup-simplify: Simplify (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538408854.761 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.761 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1538408854.761 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1538408854.761 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538408854.761 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408854.761 * [misc]taylor: Taking taylor expansion of -2 in k 1538408854.761 * [misc]backup-simplify: Simplify -2 into -2 1538408854.761 * [misc]taylor: Taking taylor expansion of n in k 1538408854.761 * [misc]backup-simplify: Simplify n into n 1538408854.761 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408854.762 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538408854.762 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538408854.762 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538408854.762 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of k in k 1538408854.762 * [misc]backup-simplify: Simplify 0 into 0 1538408854.762 * [misc]backup-simplify: Simplify 1 into 1 1538408854.762 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.762 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538408854.762 * [misc]taylor: Taking taylor expansion of -2 in k 1538408854.762 * [misc]backup-simplify: Simplify -2 into -2 1538408854.762 * [misc]taylor: Taking taylor expansion of n in k 1538408854.763 * [misc]backup-simplify: Simplify n into n 1538408854.763 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538408854.763 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538408854.763 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.763 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538408854.763 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538408854.763 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538408854.763 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538408854.763 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408854.763 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408854.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.763 * [misc]taylor: Taking taylor expansion of k in k 1538408854.763 * [misc]backup-simplify: Simplify 0 into 0 1538408854.763 * [misc]backup-simplify: Simplify 1 into 1 1538408854.763 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.764 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.764 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.764 * [misc]backup-simplify: Simplify PI into PI 1538408854.764 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.764 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.764 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408854.764 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408854.765 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408854.765 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538408854.765 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538408854.765 * [misc]taylor: Taking taylor expansion of -1 in k 1538408854.765 * [misc]backup-simplify: Simplify -1 into -1 1538408854.765 * [misc]taylor: Taking taylor expansion of k in k 1538408854.765 * [misc]backup-simplify: Simplify 0 into 0 1538408854.765 * [misc]backup-simplify: Simplify 1 into 1 1538408854.765 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538408854.765 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.765 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538408854.766 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538408854.766 * [misc]backup-simplify: Simplify (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538408854.766 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.766 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538408854.766 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.766 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.766 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538408854.766 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538408854.766 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408854.766 * [misc]taylor: Taking taylor expansion of -2 in n 1538408854.766 * [misc]backup-simplify: Simplify -2 into -2 1538408854.766 * [misc]taylor: Taking taylor expansion of n in n 1538408854.766 * [misc]backup-simplify: Simplify 0 into 0 1538408854.766 * [misc]backup-simplify: Simplify 1 into 1 1538408854.766 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408854.767 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.767 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538408854.767 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408854.767 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1538408854.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1538408854.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.767 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1538408854.767 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408854.767 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408854.767 * [misc]taylor: Taking taylor expansion of -2 in n 1538408854.767 * [misc]backup-simplify: Simplify -2 into -2 1538408854.767 * [misc]taylor: Taking taylor expansion of n in n 1538408854.767 * [misc]backup-simplify: Simplify 0 into 0 1538408854.767 * [misc]backup-simplify: Simplify 1 into 1 1538408854.767 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408854.767 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408854.767 * [misc]taylor: Taking taylor expansion of k in n 1538408854.767 * [misc]backup-simplify: Simplify k into k 1538408854.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408854.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408854.768 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1538408854.768 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538408854.768 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538408854.768 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408854.768 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408854.769 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408854.769 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408854.769 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.769 * [misc]taylor: Taking taylor expansion of k in n 1538408854.769 * [misc]backup-simplify: Simplify k into k 1538408854.769 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.769 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.769 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.769 * [misc]backup-simplify: Simplify PI into PI 1538408854.769 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.769 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.769 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408854.770 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408854.770 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408854.772 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.772 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408854.772 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408854.772 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.773 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538408854.773 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.774 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408854.775 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408854.775 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1538408854.776 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1538408854.776 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.777 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538408854.777 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538408854.777 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.778 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538408854.778 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.779 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.779 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (/ -2 n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538408854.779 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -2 n)) 0) (* 0 (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538408854.779 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538408854.780 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408854.780 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1538408854.781 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538408854.781 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538408854.781 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of -2 in n 1538408854.781 * [misc]backup-simplify: Simplify -2 into -2 1538408854.781 * [misc]taylor: Taking taylor expansion of n in n 1538408854.781 * [misc]backup-simplify: Simplify 0 into 0 1538408854.781 * [misc]backup-simplify: Simplify 1 into 1 1538408854.781 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408854.781 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538408854.781 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538408854.781 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.781 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538408854.781 * [misc]taylor: Taking taylor expansion of -2 in n 1538408854.781 * [misc]backup-simplify: Simplify -2 into -2 1538408854.781 * [misc]taylor: Taking taylor expansion of n in n 1538408854.781 * [misc]backup-simplify: Simplify 0 into 0 1538408854.781 * [misc]backup-simplify: Simplify 1 into 1 1538408854.782 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538408854.782 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538408854.782 * [misc]taylor: Taking taylor expansion of k in n 1538408854.782 * [misc]backup-simplify: Simplify k into k 1538408854.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408854.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538408854.782 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1538408854.782 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538408854.783 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538408854.783 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538408854.783 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538408854.783 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538408854.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538408854.783 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538408854.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538408854.783 * [misc]taylor: Taking taylor expansion of k in n 1538408854.783 * [misc]backup-simplify: Simplify k into k 1538408854.783 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538408854.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538408854.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.783 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538408854.783 * [misc]taylor: Taking taylor expansion of PI in n 1538408854.783 * [misc]backup-simplify: Simplify PI into PI 1538408854.783 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.783 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538408854.783 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538408854.784 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408854.784 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538408854.786 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.786 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538408854.786 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538408854.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.786 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538408854.787 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.787 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408854.789 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538408854.789 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1538408854.789 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1538408854.790 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538408854.790 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538408854.791 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538408854.791 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.792 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538408854.792 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.792 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.793 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.796 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408854.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408854.796 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538408854.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.797 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538408854.798 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408854.799 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.801 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538408854.802 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538408854.802 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log -2) (log n)) k)))) into 0 1538408854.803 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538408854.804 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538408854.804 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538408854.805 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538408854.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.806 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (+ (* 0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.807 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538408854.809 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) n))))))) 1538408854.809 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1538408854.810 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538408854.811 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1538408854.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408854.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408854.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.811 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408854.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.811 * [misc]taylor: Taking taylor expansion of k in k 1538408854.811 * [misc]backup-simplify: Simplify 0 into 0 1538408854.811 * [misc]backup-simplify: Simplify 1 into 1 1538408854.811 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.811 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.811 * [misc]backup-simplify: Simplify PI into PI 1538408854.811 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538408854.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538408854.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.811 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538408854.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.812 * [misc]taylor: Taking taylor expansion of k in k 1538408854.812 * [misc]backup-simplify: Simplify 0 into 0 1538408854.812 * [misc]backup-simplify: Simplify 1 into 1 1538408854.812 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.812 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.812 * [misc]backup-simplify: Simplify PI into PI 1538408854.812 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.812 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538408854.813 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.813 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408854.813 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408854.814 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408854.817 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.817 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538408854.817 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.818 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408854.819 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408854.819 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1538408854.828 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408854.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538408854.829 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.829 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538408854.831 * [misc]backup-simplify: Simplify 0 into 0 1538408854.841 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408854.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538408854.841 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408854.844 * [misc]backup-simplify: Simplify 0 into 0 1538408854.858 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538408854.858 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538408854.858 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.859 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538408854.861 * [misc]backup-simplify: Simplify 0 into 0 1538408854.883 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538408854.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538408854.884 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538408854.887 * [misc]backup-simplify: Simplify 0 into 0 1538408854.920 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538408854.921 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1538408854.921 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.921 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.925 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538408854.925 * [misc]backup-simplify: Simplify 0 into 0 1538408854.955 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538408854.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1538408854.957 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.960 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538408854.960 * [misc]backup-simplify: Simplify 0 into 0 1538408854.962 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408854.962 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538408854.962 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1538408854.962 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408854.962 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408854.962 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.963 * [misc]taylor: Taking taylor expansion of k in k 1538408854.963 * [misc]backup-simplify: Simplify 0 into 0 1538408854.963 * [misc]backup-simplify: Simplify 1 into 1 1538408854.963 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.963 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.963 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.963 * [misc]backup-simplify: Simplify PI into PI 1538408854.963 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.963 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538408854.963 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538408854.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408854.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408854.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408854.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408854.964 * [misc]taylor: Taking taylor expansion of k in k 1538408854.964 * [misc]backup-simplify: Simplify 0 into 0 1538408854.964 * [misc]backup-simplify: Simplify 1 into 1 1538408854.964 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408854.964 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408854.964 * [misc]taylor: Taking taylor expansion of PI in k 1538408854.964 * [misc]backup-simplify: Simplify PI into PI 1538408854.964 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408854.965 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408854.965 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538408854.965 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538408854.965 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408854.966 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538408854.969 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408854.969 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408854.969 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538408854.969 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.970 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408854.971 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538408854.971 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408854.976 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408854.977 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.977 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538408854.977 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.977 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.979 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538408854.979 * [misc]backup-simplify: Simplify 0 into 0 1538408854.988 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408854.988 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408854.988 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538408854.989 * [misc]backup-simplify: Simplify (- 0) into 0 1538408854.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408854.991 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408854.991 * [misc]backup-simplify: Simplify 0 into 0 1538408855.006 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538408855.007 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.007 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538408855.007 * [misc]backup-simplify: Simplify (- 0) into 0 1538408855.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.010 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538408855.010 * [misc]backup-simplify: Simplify 0 into 0 1538408855.031 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538408855.032 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.032 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538408855.033 * [misc]backup-simplify: Simplify (- 0) into 0 1538408855.033 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.036 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538408855.036 * [misc]backup-simplify: Simplify 0 into 0 1538408855.069 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538408855.069 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.070 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538408855.070 * [misc]backup-simplify: Simplify (- 0) into 0 1538408855.070 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.075 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538408855.075 * [misc]backup-simplify: Simplify 0 into 0 1538408855.127 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538408855.128 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.129 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538408855.129 * [misc]backup-simplify: Simplify (- 0) into 0 1538408855.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.134 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538408855.134 * [misc]backup-simplify: Simplify 0 into 0 1538408855.135 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408855.136 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538408855.136 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1538408855.136 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408855.136 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408855.136 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408855.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408855.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408855.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408855.136 * [misc]taylor: Taking taylor expansion of k in k 1538408855.136 * [misc]backup-simplify: Simplify 0 into 0 1538408855.136 * [misc]backup-simplify: Simplify 1 into 1 1538408855.136 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408855.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408855.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408855.136 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408855.136 * [misc]taylor: Taking taylor expansion of PI in k 1538408855.136 * [misc]backup-simplify: Simplify PI into PI 1538408855.137 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408855.137 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538408855.137 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538408855.137 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538408855.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408855.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408855.137 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538408855.137 * [misc]taylor: Taking taylor expansion of k in k 1538408855.137 * [misc]backup-simplify: Simplify 0 into 0 1538408855.137 * [misc]backup-simplify: Simplify 1 into 1 1538408855.137 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538408855.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538408855.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538408855.137 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538408855.137 * [misc]taylor: Taking taylor expansion of PI in k 1538408855.137 * [misc]backup-simplify: Simplify PI into PI 1538408855.138 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538408855.138 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538408855.138 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538408855.138 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408855.139 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408855.142 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538408855.142 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538408855.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538408855.143 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1538408855.144 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538408855.144 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538408855.150 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538408855.150 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538408855.150 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.152 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538408855.152 * [misc]backup-simplify: Simplify 0 into 0 1538408855.160 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538408855.161 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.161 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538408855.161 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538408855.163 * [misc]backup-simplify: Simplify 0 into 0 1538408855.177 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538408855.178 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.178 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538408855.178 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538408855.181 * [misc]backup-simplify: Simplify 0 into 0 1538408855.203 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538408855.204 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.204 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538408855.204 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.207 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538408855.208 * [misc]backup-simplify: Simplify 0 into 0 1538408855.237 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538408855.237 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.237 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538408855.237 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.240 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538408855.240 * [misc]backup-simplify: Simplify 0 into 0 1538408855.269 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538408855.269 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538408855.270 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538408855.270 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538408855.273 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538408855.273 * [misc]backup-simplify: Simplify 0 into 0 1538408855.274 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408855.274 * * * [misc]progress: simplifying candidates 1538408855.274 * * * * [misc]progress: [ 1 / 137 ] simplifiying candidate # 1538408855.274 * * * * [misc]progress: [ 2 / 137 ] simplifiying candidate # 1538408855.274 * [enter]simplify: Simplifying (- 1/2) 1538408855.275 * * [misc]simplify: iters left: 2 (2 enodes) 1538408855.276 * * [misc]simplify: iters left: 1 (3 enodes) 1538408855.276 * [exit]simplify: Simplified to -1/2 1538408855.276 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (* 2 n) -1/2) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408855.276 * * * * [misc]progress: [ 3 / 137 ] simplifiying candidate # 1538408855.276 * [enter]simplify: Simplifying (- 1) 1538408855.276 * * [misc]simplify: iters left: 2 (2 enodes) 1538408855.277 * * [misc]simplify: iters left: 1 (5 enodes) 1538408855.278 * [exit]simplify: Simplified to -1 1538408855.278 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (sqrt (* 2 n)) -1) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408855.278 * * * * [misc]progress: [ 4 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 5 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 6 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 7 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 8 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 9 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 10 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 11 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 12 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 13 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 14 / 137 ] simplifiying candidate # 1538408855.278 * * * * [misc]progress: [ 15 / 137 ] simplifiying candidate # 1538408855.278 * [enter]simplify: Simplifying (cbrt (sqrt (* 2 n))) 1538408855.279 * * [misc]simplify: iters left: 4 (5 enodes) 1538408855.280 * * [misc]simplify: iters left: 3 (6 enodes) 1538408855.281 * [exit]simplify: Simplified to (cbrt (sqrt (* 2 n))) 1538408855.281 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (cbrt (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408855.281 * * * * [misc]progress: [ 16 / 137 ] simplifiying candidate # 1538408855.281 * [enter]simplify: Simplifying (sqrt n) 1538408855.281 * * [misc]simplify: iters left: 1 (2 enodes) 1538408855.282 * [exit]simplify: Simplified to (sqrt n) 1538408855.282 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (sqrt 2)) (sqrt n)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408855.282 * * * * [misc]progress: [ 17 / 137 ] simplifiying candidate # 1538408855.282 * [enter]simplify: Simplifying (sqrt (sqrt (* 2 n))) 1538408855.282 * * [misc]simplify: iters left: 4 (5 enodes) 1538408855.283 * * [misc]simplify: iters left: 3 (6 enodes) 1538408855.284 * [exit]simplify: Simplified to (sqrt (sqrt (* 2 n))) 1538408855.284 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (sqrt (sqrt (* 2 n)))) (sqrt (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408855.284 * * * * [misc]progress: [ 18 / 137 ] simplifiying candidate # 1538408855.284 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1538408855.284 * * [misc]simplify: iters left: 3 (4 enodes) 1538408855.285 * * [misc]simplify: iters left: 2 (5 enodes) 1538408855.286 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538408855.286 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 1) (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408855.286 * * * * [misc]progress: [ 19 / 137 ] simplifiying candidate # 1538408855.286 * [enter]simplify: Simplifying (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408855.287 * * [misc]simplify: iters left: 6 (14 enodes) 1538408855.293 * * [misc]simplify: iters left: 5 (23 enodes) 1538408855.302 * * [misc]simplify: iters left: 4 (35 enodes) 1538408855.319 * * [misc]simplify: iters left: 3 (60 enodes) 1538408855.346 * * [misc]simplify: iters left: 2 (94 enodes) 1538408855.389 * * [misc]simplify: iters left: 1 (152 enodes) 1538408855.470 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) 1538408855.470 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) 1))) 1538408855.471 * * * * [misc]progress: [ 20 / 137 ] simplifiying candidate # 1538408855.471 * * * * [misc]progress: [ 21 / 137 ] simplifiying candidate # 1538408855.471 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538408855.473 * * [misc]simplify: iters left: 6 (16 enodes) 1538408855.481 * * [misc]simplify: iters left: 5 (29 enodes) 1538408855.495 * * [misc]simplify: iters left: 4 (59 enodes) 1538408855.524 * * [misc]simplify: iters left: 3 (158 enodes) 1538408855.599 * * [misc]simplify: iters left: 2 (309 enodes) 1538408855.793 * [exit]simplify: Simplified to (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2))) 1538408855.793 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2)))))) 1538408855.793 * * * * [misc]progress: [ 22 / 137 ] simplifiying candidate # 1538408855.793 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538408855.794 * * [misc]simplify: iters left: 6 (16 enodes) 1538408855.799 * * [misc]simplify: iters left: 5 (29 enodes) 1538408855.807 * * [misc]simplify: iters left: 4 (59 enodes) 1538408855.829 * * [misc]simplify: iters left: 3 (158 enodes) 1538408855.912 * * [misc]simplify: iters left: 2 (309 enodes) 1538408856.154 * [exit]simplify: Simplified to (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2))) 1538408856.154 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2)))))) 1538408856.154 * * * * [misc]progress: [ 23 / 137 ] simplifiying candidate # 1538408856.155 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2)))))) 1538408856.157 * * [misc]simplify: iters left: 6 (16 enodes) 1538408856.163 * * [misc]simplify: iters left: 5 (25 enodes) 1538408856.175 * * [misc]simplify: iters left: 4 (46 enodes) 1538408856.202 * * [misc]simplify: iters left: 3 (113 enodes) 1538408856.280 * * [misc]simplify: iters left: 2 (318 enodes) 1538408856.485 * [exit]simplify: Simplified to (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n)))) 1538408856.486 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n))))))) 1538408856.486 * * * * [misc]progress: [ 24 / 137 ] simplifiying candidate # 1538408856.486 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538408856.488 * * [misc]simplify: iters left: 6 (15 enodes) 1538408856.494 * * [misc]simplify: iters left: 5 (21 enodes) 1538408856.502 * * [misc]simplify: iters left: 4 (30 enodes) 1538408856.516 * * [misc]simplify: iters left: 3 (56 enodes) 1538408856.546 * * [misc]simplify: iters left: 2 (125 enodes) 1538408856.625 * * [misc]simplify: iters left: 1 (332 enodes) 1538408856.840 * [exit]simplify: Simplified to (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n)))) 1538408856.840 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n))))))) 1538408856.840 * * * * [misc]progress: [ 25 / 137 ] simplifiying candidate # 1538408856.840 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538408856.842 * * [misc]simplify: iters left: 6 (17 enodes) 1538408856.854 * * [misc]simplify: iters left: 5 (36 enodes) 1538408856.870 * * [misc]simplify: iters left: 4 (66 enodes) 1538408856.910 * * [misc]simplify: iters left: 3 (177 enodes) 1538408856.981 * * [misc]simplify: iters left: 2 (394 enodes) 1538408857.242 * [exit]simplify: Simplified to (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2)))) 1538408857.242 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538408857.242 * * * * [misc]progress: [ 26 / 137 ] simplifiying candidate # 1538408857.243 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538408857.245 * * [misc]simplify: iters left: 6 (17 enodes) 1538408857.254 * * [misc]simplify: iters left: 5 (36 enodes) 1538408857.270 * * [misc]simplify: iters left: 4 (66 enodes) 1538408857.312 * * [misc]simplify: iters left: 3 (177 enodes) 1538408857.401 * * [misc]simplify: iters left: 2 (394 enodes) 1538408857.663 * [exit]simplify: Simplified to (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2)))) 1538408857.663 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538408857.663 * * * * [misc]progress: [ 27 / 137 ] simplifiying candidate # 1538408857.664 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2)))))) 1538408857.666 * * [misc]simplify: iters left: 6 (17 enodes) 1538408857.675 * * [misc]simplify: iters left: 5 (32 enodes) 1538408857.688 * * [misc]simplify: iters left: 4 (53 enodes) 1538408857.720 * * [misc]simplify: iters left: 3 (131 enodes) 1538408857.781 * * [misc]simplify: iters left: 2 (401 enodes) 1538408858.120 * [exit]simplify: Simplified to (+ (log (sqrt k)) (- (* (/ k 2) (log (* n 2))) (log (sqrt (* n 2))))) 1538408858.120 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (log (sqrt k)) (- (* (/ k 2) (log (* n 2))) (log (sqrt (* n 2)))))))) 1538408858.120 * * * * [misc]progress: [ 28 / 137 ] simplifiying candidate # 1538408858.121 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538408858.122 * * [misc]simplify: iters left: 6 (16 enodes) 1538408858.128 * * [misc]simplify: iters left: 5 (28 enodes) 1538408858.138 * * [misc]simplify: iters left: 4 (37 enodes) 1538408858.154 * * [misc]simplify: iters left: 3 (71 enodes) 1538408858.201 * * [misc]simplify: iters left: 2 (175 enodes) 1538408858.341 * * [misc]simplify: iters left: 1 (485 enodes) 1538408858.728 * [exit]simplify: Simplified to (- (* (log (* n 2)) (/ k 2)) (- (log (sqrt (* n 2))) (log (sqrt k)))) 1538408858.728 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (/ k 2)) (- (log (sqrt (* n 2))) (log (sqrt k))))))) 1538408858.728 * * * * [misc]progress: [ 29 / 137 ] simplifiying candidate # 1538408858.728 * * * * [misc]progress: [ 30 / 137 ] simplifiying candidate # 1538408858.729 * * * * [misc]progress: [ 31 / 137 ] simplifiying candidate # 1538408858.729 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2)))))) 1538408858.731 * * [misc]simplify: iters left: 6 (20 enodes) 1538408858.742 * * [misc]simplify: iters left: 5 (45 enodes) 1538408858.775 * * [misc]simplify: iters left: 4 (143 enodes) 1538408858.971 * [exit]simplify: Simplified to (* (/ (/ (/ 1 (sqrt (* n 2))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (sqrt (* n 2))))) (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ k (pow (* n 2) (- (/ k 2)))))) 1538408858.971 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (/ (/ (/ 1 (sqrt (* n 2))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (sqrt (* n 2))))) (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ k (pow (* n 2) (- (/ k 2))))))))) 1538408858.971 * * * * [misc]progress: [ 32 / 137 ] simplifiying candidate # 1538408858.971 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (* (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538408858.973 * * [misc]simplify: iters left: 6 (18 enodes) 1538408858.978 * * [misc]simplify: iters left: 5 (41 enodes) 1538408858.997 * * [misc]simplify: iters left: 4 (116 enodes) 1538408859.104 * * [misc]simplify: iters left: 3 (310 enodes) 1538408859.555 * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (sqrt (* n 2))) (* (sqrt (* n 2)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1538408859.555 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (/ (/ 1 (sqrt (* n 2))) (* (sqrt (* n 2)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))))) 1538408859.555 * * * * [misc]progress: [ 33 / 137 ] simplifiying candidate # 1538408859.555 * * * * [misc]progress: [ 34 / 137 ] simplifiying candidate # 1538408859.555 * * * * [misc]progress: [ 35 / 137 ] simplifiying candidate # 1538408859.555 * * * * [misc]progress: [ 36 / 137 ] simplifiying candidate # 1538408859.555 * [enter]simplify: Simplifying (* 1 (sqrt k)) 1538408859.556 * * [misc]simplify: iters left: 3 (4 enodes) 1538408859.558 * * [misc]simplify: iters left: 2 (7 enodes) 1538408859.560 * * [misc]simplify: iters left: 1 (9 enodes) 1538408859.562 * [exit]simplify: Simplified to (sqrt k) 1538408859.562 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2))))))) 1538408859.562 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2)))) 1538408859.563 * * [misc]simplify: iters left: 6 (10 enodes) 1538408859.567 * * [misc]simplify: iters left: 5 (13 enodes) 1538408859.571 * [exit]simplify: Simplified to (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))) 1538408859.571 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n)))))) 1538408859.571 * * * * [misc]progress: [ 37 / 137 ] simplifiying candidate # 1538408859.571 * * * * [misc]progress: [ 38 / 137 ] simplifiying candidate # 1538408859.572 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408859.573 * * [misc]simplify: iters left: 6 (10 enodes) 1538408859.576 * * [misc]simplify: iters left: 5 (13 enodes) 1538408859.581 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408859.581 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1538408859.581 * * * * [misc]progress: [ 39 / 137 ] simplifiying candidate # 1538408859.581 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408859.582 * * [misc]simplify: iters left: 6 (10 enodes) 1538408859.585 * * [misc]simplify: iters left: 5 (13 enodes) 1538408859.590 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408859.590 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (sqrt (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1538408859.590 * * * * [misc]progress: [ 40 / 137 ] simplifiying candidate # 1538408859.590 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1538408859.591 * * [misc]simplify: iters left: 6 (8 enodes) 1538408859.594 * * [misc]simplify: iters left: 5 (10 enodes) 1538408859.597 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1538408859.597 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1538408859.598 * * * * [misc]progress: [ 41 / 137 ] simplifiying candidate # 1538408859.598 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538408859.599 * * [misc]simplify: iters left: 6 (11 enodes) 1538408859.602 * * [misc]simplify: iters left: 5 (14 enodes) 1538408859.607 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538408859.607 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1538408859.607 * * * * [misc]progress: [ 42 / 137 ] simplifiying candidate # 1538408859.607 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538408859.608 * * [misc]simplify: iters left: 6 (11 enodes) 1538408859.612 * * [misc]simplify: iters left: 5 (14 enodes) 1538408859.616 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538408859.617 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1538408859.617 * * * * [misc]progress: [ 43 / 137 ] simplifiying candidate # 1538408859.617 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408859.620 * * [misc]simplify: iters left: 6 (10 enodes) 1538408859.623 * * [misc]simplify: iters left: 5 (13 enodes) 1538408859.627 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408859.627 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408859.627 * * * * [misc]progress: [ 44 / 137 ] simplifiying candidate # 1538408859.628 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1538408859.628 * * [misc]simplify: iters left: 6 (8 enodes) 1538408859.631 * * [misc]simplify: iters left: 5 (10 enodes) 1538408859.635 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1538408859.635 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1538408859.635 * * * * [misc]progress: [ 45 / 137 ] simplifiying candidate # 1538408859.635 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538408859.636 * * [misc]simplify: iters left: 6 (11 enodes) 1538408859.640 * * [misc]simplify: iters left: 5 (14 enodes) 1538408859.645 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538408859.645 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1538408859.645 * * * * [misc]progress: [ 46 / 137 ] simplifiying candidate # 1538408859.645 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538408859.646 * * [misc]simplify: iters left: 6 (11 enodes) 1538408859.650 * * [misc]simplify: iters left: 5 (14 enodes) 1538408859.654 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538408859.654 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1538408859.654 * * * * [misc]progress: [ 47 / 137 ] simplifiying candidate # 1538408859.655 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538408859.655 * * [misc]simplify: iters left: 6 (10 enodes) 1538408859.659 * * [misc]simplify: iters left: 5 (13 enodes) 1538408859.663 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538408859.663 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538408859.663 * * * * [misc]progress: [ 48 / 137 ] simplifiying candidate # 1538408859.663 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1538408859.664 * * [misc]simplify: iters left: 6 (7 enodes) 1538408859.666 * * [misc]simplify: iters left: 5 (9 enodes) 1538408859.669 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1538408859.669 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (pow n (- (/ k 2))))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1538408859.670 * * * * [misc]progress: [ 49 / 137 ] simplifiying candidate # 1538408859.670 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- (/ k 2))))) 1538408859.671 * * [misc]simplify: iters left: 6 (10 enodes) 1538408859.674 * * [misc]simplify: iters left: 5 (13 enodes) 1538408859.679 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (/ (- k) 2)))) 1538408859.679 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- k) 2))))))) 1538408859.679 * * * * [misc]progress: [ 50 / 137 ] simplifiying candidate # 1538408859.679 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2))))) 1538408859.680 * * [misc]simplify: iters left: 6 (10 enodes) 1538408859.684 * * [misc]simplify: iters left: 5 (13 enodes) 1538408859.688 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (/ (- k) 2)))) 1538408859.688 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- k) 2))))))) 1538408859.688 * * * * [misc]progress: [ 51 / 137 ] simplifiying candidate # 1538408859.689 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408859.690 * * [misc]simplify: iters left: 6 (9 enodes) 1538408859.693 * * [misc]simplify: iters left: 5 (12 enodes) 1538408859.697 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408859.697 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408859.697 * * * * [misc]progress: [ 52 / 137 ] simplifiying candidate # 1538408859.697 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408859.698 * * [misc]simplify: iters left: 6 (9 enodes) 1538408859.701 * * [misc]simplify: iters left: 5 (12 enodes) 1538408859.705 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408859.705 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) 1) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408859.705 * * * * [misc]progress: [ 53 / 137 ] simplifiying candidate # 1538408859.705 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- (/ k 2)))) 1538408859.706 * * [misc]simplify: iters left: 6 (9 enodes) 1538408859.710 * * [misc]simplify: iters left: 5 (14 enodes) 1538408859.714 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- (/ k 2)))) 1538408859.714 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (sqrt k)) (/ 1 (pow (* 2 n) (- (/ k 2))))))) 1538408859.714 * * * * [misc]progress: [ 54 / 137 ] simplifiying candidate # 1538408859.714 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408859.715 * * [misc]simplify: iters left: 3 (6 enodes) 1538408859.716 * * [misc]simplify: iters left: 2 (7 enodes) 1538408859.718 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408859.719 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) 1)) (pow (* n 2) (/ k 2))))) 1538408859.719 * * * * [misc]progress: [ 55 / 137 ] simplifiying candidate # 1538408859.719 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538408859.719 * * [misc]simplify: iters left: 3 (6 enodes) 1538408859.721 * * [misc]simplify: iters left: 2 (7 enodes) 1538408859.723 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538408859.724 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) 0))) (pow (* n 2) (/ k 2))))) 1538408859.724 * * * * [misc]progress: [ 56 / 137 ] simplifiying candidate # 1538408859.724 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (* 2 n)))) (cbrt (/ 1 (sqrt (* 2 n))))) 1538408859.725 * * [misc]simplify: iters left: 6 (8 enodes) 1538408859.727 * * [misc]simplify: iters left: 5 (11 enodes) 1538408859.731 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (* n 2)))) (cbrt (/ 1 (sqrt (* n 2))))) 1538408859.731 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt (* n 2)))) (cbrt (/ 1 (sqrt (* n 2))))) (* (cbrt (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538408859.731 * * * * [misc]progress: [ 57 / 137 ] simplifiying candidate # 1538408859.731 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (* 2 n)))) 1538408859.731 * * [misc]simplify: iters left: 6 (7 enodes) 1538408859.734 * * [misc]simplify: iters left: 5 (10 enodes) 1538408859.737 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (* n 2)))) 1538408859.737 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt (* n 2)))) (* (sqrt (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538408859.737 * * * * [misc]progress: [ 58 / 137 ] simplifiying candidate # 1538408859.737 * * * * [misc]progress: [ 59 / 137 ] simplifiying candidate # 1538408859.738 * * * * [misc]progress: [ 60 / 137 ] simplifiying candidate # 1538408859.738 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408859.740 * * [misc]simplify: iters left: 5 (7 enodes) 1538408859.743 * * [misc]simplify: iters left: 4 (10 enodes) 1538408859.746 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408859.746 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (/ 1 (sqrt (* 2 n))) (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1538408859.746 * * * * [misc]progress: [ 61 / 137 ] simplifiying candidate # 1538408859.747 * [enter]simplify: Simplifying (* 1 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408859.748 * * [misc]simplify: iters left: 6 (11 enodes) 1538408859.752 * * [misc]simplify: iters left: 5 (19 enodes) 1538408859.759 * * [misc]simplify: iters left: 4 (26 enodes) 1538408859.766 * * [misc]simplify: iters left: 3 (29 enodes) 1538408859.773 * * [misc]simplify: iters left: 2 (35 enodes) 1538408859.785 * * [misc]simplify: iters left: 1 (48 enodes) 1538408859.798 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408859.798 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 n))))) 1538408859.798 * * * * [misc]progress: [ 62 / 137 ] simplifiying candidate # 1538408859.798 * * * * [misc]progress: [ 63 / 137 ] simplifiying candidate # 1538408859.798 * * * * [misc]progress: [ 64 / 137 ] simplifiying candidate # 1538408859.799 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538408859.800 * * [misc]simplify: iters left: 6 (22 enodes) 1538408859.806 * * [misc]simplify: iters left: 5 (41 enodes) 1538408859.824 * * [misc]simplify: iters left: 4 (91 enodes) 1538408859.869 * * [misc]simplify: iters left: 3 (265 enodes) 1538408860.141 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))) 1538408860.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))))) 1538408860.141 * * * * [misc]progress: [ 65 / 137 ] simplifiying candidate # 1538408860.142 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538408860.143 * * [misc]simplify: iters left: 6 (22 enodes) 1538408860.149 * * [misc]simplify: iters left: 5 (41 enodes) 1538408860.162 * * [misc]simplify: iters left: 4 (91 enodes) 1538408860.201 * * [misc]simplify: iters left: 3 (265 enodes) 1538408860.371 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))) 1538408860.371 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))))) 1538408860.371 * * * * [misc]progress: [ 66 / 137 ] simplifiying candidate # 1538408860.371 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2))))))) 1538408860.372 * * [misc]simplify: iters left: 6 (22 enodes) 1538408860.378 * * [misc]simplify: iters left: 5 (37 enodes) 1538408860.391 * * [misc]simplify: iters left: 4 (78 enodes) 1538408860.431 * * [misc]simplify: iters left: 3 (211 enodes) 1538408860.703 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (* (log (* 2 n)) (/ k 2)) (log (sqrt (* 2 n))))) 1538408860.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (* (log (* 2 n)) (/ k 2)) (log (sqrt (* 2 n))))))) 1538408860.704 * * * * [misc]progress: [ 67 / 137 ] simplifiying candidate # 1538408860.704 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408860.706 * * [misc]simplify: iters left: 6 (21 enodes) 1538408860.711 * * [misc]simplify: iters left: 5 (33 enodes) 1538408860.718 * * [misc]simplify: iters left: 4 (59 enodes) 1538408860.738 * * [misc]simplify: iters left: 3 (136 enodes) 1538408860.810 * * [misc]simplify: iters left: 2 (377 enodes) 1538408861.262 * [exit]simplify: Simplified to (- (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI)))) 1538408861.262 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI)))))) 1538408861.262 * * * * [misc]progress: [ 68 / 137 ] simplifiying candidate # 1538408861.262 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538408861.264 * * [misc]simplify: iters left: 6 (23 enodes) 1538408861.271 * * [misc]simplify: iters left: 5 (48 enodes) 1538408861.290 * * [misc]simplify: iters left: 4 (98 enodes) 1538408861.352 * * [misc]simplify: iters left: 3 (284 enodes) 1538408861.607 * [exit]simplify: Simplified to (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))) 1538408861.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))))) 1538408861.607 * * * * [misc]progress: [ 69 / 137 ] simplifiying candidate # 1538408861.607 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538408861.610 * * [misc]simplify: iters left: 6 (23 enodes) 1538408861.624 * * [misc]simplify: iters left: 5 (48 enodes) 1538408861.648 * * [misc]simplify: iters left: 4 (98 enodes) 1538408861.723 * * [misc]simplify: iters left: 3 (284 enodes) 1538408861.982 * [exit]simplify: Simplified to (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))) 1538408861.982 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))))) 1538408861.982 * * * * [misc]progress: [ 70 / 137 ] simplifiying candidate # 1538408861.982 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2))))))) 1538408861.985 * * [misc]simplify: iters left: 6 (23 enodes) 1538408861.995 * * [misc]simplify: iters left: 5 (44 enodes) 1538408862.006 * * [misc]simplify: iters left: 4 (85 enodes) 1538408862.046 * * [misc]simplify: iters left: 3 (232 enodes) 1538408862.281 * [exit]simplify: Simplified to (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (* (log (* 2 n)) (/ k 2)))) 1538408862.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (* (log (* 2 n)) (/ k 2)))))) 1538408862.282 * * * * [misc]progress: [ 71 / 137 ] simplifiying candidate # 1538408862.282 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408862.284 * * [misc]simplify: iters left: 6 (22 enodes) 1538408862.293 * * [misc]simplify: iters left: 5 (40 enodes) 1538408862.302 * * [misc]simplify: iters left: 4 (66 enodes) 1538408862.322 * * [misc]simplify: iters left: 3 (153 enodes) 1538408862.412 * * [misc]simplify: iters left: 2 (430 enodes) 1538408862.902 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n))))) 1538408862.902 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n))))))) 1538408862.902 * * * * [misc]progress: [ 72 / 137 ] simplifiying candidate # 1538408862.903 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408862.904 * * [misc]simplify: iters left: 6 (21 enodes) 1538408862.910 * * [misc]simplify: iters left: 5 (37 enodes) 1538408862.929 * * [misc]simplify: iters left: 4 (74 enodes) 1538408862.966 * * [misc]simplify: iters left: 3 (155 enodes) 1538408863.064 * * [misc]simplify: iters left: 2 (369 enodes) 1538408863.366 * [exit]simplify: Simplified to (- (- (* (log PI) (- 1/2 (/ k 2))) (* (log (* 2 n)) (/ k 2))) (log (/ (sqrt k) (sqrt (* 2 n))))) 1538408863.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (log PI) (- 1/2 (/ k 2))) (* (log (* 2 n)) (/ k 2))) (log (/ (sqrt k) (sqrt (* 2 n))))))) 1538408863.366 * * * * [misc]progress: [ 73 / 137 ] simplifiying candidate # 1538408863.366 * * * * [misc]progress: [ 74 / 137 ] simplifiying candidate # 1538408863.366 * * * * [misc]progress: [ 75 / 137 ] simplifiying candidate # 1538408863.367 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2))))))) 1538408863.370 * * [misc]simplify: iters left: 6 (29 enodes) 1538408863.387 * * [misc]simplify: iters left: 5 (69 enodes) 1538408863.444 * * [misc]simplify: iters left: 4 (250 enodes) 1538408864.008 * [exit]simplify: Simplified to (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* 2 n) (- (/ k 2))) 3)) (* (* (* (sqrt k) k) (/ 1 (sqrt (* 2 n)))) (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))))) 1538408864.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* 2 n) (- (/ k 2))) 3)) (* (* (* (sqrt k) k) (/ 1 (sqrt (* 2 n)))) (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))))))) 1538408864.008 * * * * [misc]progress: [ 76 / 137 ] simplifiying candidate # 1538408864.008 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (* (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408864.010 * * [misc]simplify: iters left: 6 (27 enodes) 1538408864.019 * * [misc]simplify: iters left: 5 (65 enodes) 1538408864.056 * * [misc]simplify: iters left: 4 (221 enodes) 1538408864.347 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ 1 (sqrt (* 2 n))) 3)) (pow (/ (sqrt k) (pow (* 2 n) (/ (- k) 2))) 3)) 1538408864.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ 1 (sqrt (* 2 n))) 3)) (pow (/ (sqrt k) (pow (* 2 n) (/ (- k) 2))) 3)))) 1538408864.347 * * * * [misc]progress: [ 77 / 137 ] simplifiying candidate # 1538408864.347 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408864.351 * * [misc]simplify: iters left: 6 (25 enodes) 1538408864.368 * * [misc]simplify: iters left: 5 (56 enodes) 1538408864.412 * * [misc]simplify: iters left: 4 (200 enodes) 1538408864.779 * [exit]simplify: Simplified to (pow (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (* 2 n))) (pow (* 2 n) (- (/ k 2))))) 3) 1538408864.779 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (* 2 n))) (pow (* 2 n) (- (/ k 2))))) 3))) 1538408864.779 * * * * [misc]progress: [ 78 / 137 ] simplifiying candidate # 1538408864.779 * * * * [misc]progress: [ 79 / 137 ] simplifiying candidate # 1538408864.779 * * * * [misc]progress: [ 80 / 137 ] simplifiying candidate # 1538408864.779 * * * * [misc]progress: [ 81 / 137 ] simplifiying candidate # 1538408864.779 * * * * [misc]progress: [ 82 / 137 ] simplifiying candidate # 1538408864.780 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (* 2 n)))) 1538408864.780 * * [misc]simplify: iters left: 6 (12 enodes) 1538408864.783 * * [misc]simplify: iters left: 5 (21 enodes) 1538408864.787 * * [misc]simplify: iters left: 4 (25 enodes) 1538408864.797 * * [misc]simplify: iters left: 3 (36 enodes) 1538408864.808 * * [misc]simplify: iters left: 2 (41 enodes) 1538408864.820 * * [misc]simplify: iters left: 1 (51 enodes) 1538408864.829 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538408864.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408864.830 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408864.830 * * [misc]simplify: iters left: 6 (14 enodes) 1538408864.834 * * [misc]simplify: iters left: 5 (25 enodes) 1538408864.839 * * [misc]simplify: iters left: 4 (41 enodes) 1538408864.854 * * [misc]simplify: iters left: 3 (77 enodes) 1538408864.883 * * [misc]simplify: iters left: 2 (125 enodes) 1538408864.927 * * [misc]simplify: iters left: 1 (178 enodes) 1538408864.981 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408864.981 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408864.982 * * * * [misc]progress: [ 83 / 137 ] simplifiying candidate # 1538408864.982 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (* 2 n)))) 1538408864.983 * * [misc]simplify: iters left: 6 (12 enodes) 1538408864.988 * * [misc]simplify: iters left: 5 (21 enodes) 1538408864.995 * * [misc]simplify: iters left: 4 (25 enodes) 1538408865.005 * * [misc]simplify: iters left: 3 (36 enodes) 1538408865.015 * * [misc]simplify: iters left: 2 (41 enodes) 1538408865.031 * * [misc]simplify: iters left: 1 (51 enodes) 1538408865.046 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538408865.046 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408865.046 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408865.047 * * [misc]simplify: iters left: 6 (14 enodes) 1538408865.051 * * [misc]simplify: iters left: 5 (25 enodes) 1538408865.056 * * [misc]simplify: iters left: 4 (41 enodes) 1538408865.066 * * [misc]simplify: iters left: 3 (77 enodes) 1538408865.085 * * [misc]simplify: iters left: 2 (125 enodes) 1538408865.113 * * [misc]simplify: iters left: 1 (178 enodes) 1538408865.169 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538408865.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538408865.169 * * * * [misc]progress: [ 84 / 137 ] simplifiying candidate # 1538408865.169 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (* 2 n)))) 1538408865.170 * * [misc]simplify: iters left: 6 (12 enodes) 1538408865.173 * * [misc]simplify: iters left: 5 (20 enodes) 1538408865.177 * * [misc]simplify: iters left: 4 (23 enodes) 1538408865.182 * * [misc]simplify: iters left: 3 (35 enodes) 1538408865.191 * * [misc]simplify: iters left: 2 (41 enodes) 1538408865.198 * * [misc]simplify: iters left: 1 (51 enodes) 1538408865.207 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538408865.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408865.207 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408865.211 * * [misc]simplify: iters left: 6 (14 enodes) 1538408865.215 * * [misc]simplify: iters left: 5 (24 enodes) 1538408865.220 * * [misc]simplify: iters left: 4 (45 enodes) 1538408865.236 * * [misc]simplify: iters left: 3 (80 enodes) 1538408865.253 * * [misc]simplify: iters left: 2 (122 enodes) 1538408865.287 * * [misc]simplify: iters left: 1 (177 enodes) 1538408865.349 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538408865.349 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538408865.349 * * * * [misc]progress: [ 85 / 137 ] simplifiying candidate # 1538408865.349 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (* 2 n)))) 1538408865.351 * * [misc]simplify: iters left: 6 (12 enodes) 1538408865.357 * * [misc]simplify: iters left: 5 (20 enodes) 1538408865.364 * * [misc]simplify: iters left: 4 (23 enodes) 1538408865.375 * * [misc]simplify: iters left: 3 (35 enodes) 1538408865.382 * * [misc]simplify: iters left: 2 (41 enodes) 1538408865.389 * * [misc]simplify: iters left: 1 (51 enodes) 1538408865.398 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538408865.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408865.398 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408865.399 * * [misc]simplify: iters left: 6 (14 enodes) 1538408865.402 * * [misc]simplify: iters left: 5 (24 enodes) 1538408865.416 * * [misc]simplify: iters left: 4 (45 enodes) 1538408865.435 * * [misc]simplify: iters left: 3 (80 enodes) 1538408865.461 * * [misc]simplify: iters left: 2 (122 enodes) 1538408865.485 * * [misc]simplify: iters left: 1 (177 enodes) 1538408865.542 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538408865.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538408865.542 * * * * [misc]progress: [ 86 / 137 ] simplifiying candidate # 1538408865.543 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (* 2 n)))) 1538408865.544 * * [misc]simplify: iters left: 6 (17 enodes) 1538408865.548 * * [misc]simplify: iters left: 5 (30 enodes) 1538408865.554 * * [misc]simplify: iters left: 4 (46 enodes) 1538408865.565 * * [misc]simplify: iters left: 3 (77 enodes) 1538408865.597 * * [misc]simplify: iters left: 2 (138 enodes) 1538408865.653 * * [misc]simplify: iters left: 1 (252 enodes) 1538408865.725 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538408865.725 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408865.725 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408865.726 * * [misc]simplify: iters left: 6 (17 enodes) 1538408865.733 * * [misc]simplify: iters left: 5 (27 enodes) 1538408865.739 * * [misc]simplify: iters left: 4 (37 enodes) 1538408865.747 * * [misc]simplify: iters left: 3 (55 enodes) 1538408865.759 * * [misc]simplify: iters left: 2 (94 enodes) 1538408865.777 * * [misc]simplify: iters left: 1 (132 enodes) 1538408865.808 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408865.808 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408865.808 * * * * [misc]progress: [ 87 / 137 ] simplifiying candidate # 1538408865.808 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (* 2 n)))) 1538408865.809 * * [misc]simplify: iters left: 6 (16 enodes) 1538408865.813 * * [misc]simplify: iters left: 5 (27 enodes) 1538408865.818 * * [misc]simplify: iters left: 4 (39 enodes) 1538408865.827 * * [misc]simplify: iters left: 3 (65 enodes) 1538408865.849 * * [misc]simplify: iters left: 2 (105 enodes) 1538408865.868 * * [misc]simplify: iters left: 1 (146 enodes) 1538408865.901 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538408865.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408865.901 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408865.903 * * [misc]simplify: iters left: 6 (17 enodes) 1538408865.906 * * [misc]simplify: iters left: 5 (27 enodes) 1538408865.911 * * [misc]simplify: iters left: 4 (37 enodes) 1538408865.919 * * [misc]simplify: iters left: 3 (55 enodes) 1538408865.934 * * [misc]simplify: iters left: 2 (94 enodes) 1538408865.964 * * [misc]simplify: iters left: 1 (132 enodes) 1538408865.991 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538408865.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538408865.991 * * * * [misc]progress: [ 88 / 137 ] simplifiying candidate # 1538408865.991 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* 2 n)))) 1538408865.992 * * [misc]simplify: iters left: 6 (7 enodes) 1538408865.994 * * [misc]simplify: iters left: 5 (12 enodes) 1538408865.996 * * [misc]simplify: iters left: 4 (13 enodes) 1538408865.999 * * [misc]simplify: iters left: 3 (17 enodes) 1538408866.002 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538408866.002 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408866.003 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538408866.004 * * [misc]simplify: iters left: 6 (16 enodes) 1538408866.011 * * [misc]simplify: iters left: 5 (26 enodes) 1538408866.020 * * [misc]simplify: iters left: 4 (36 enodes) 1538408866.033 * * [misc]simplify: iters left: 3 (54 enodes) 1538408866.055 * * [misc]simplify: iters left: 2 (99 enodes) 1538408866.075 * * [misc]simplify: iters left: 1 (149 enodes) 1538408866.112 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538408866.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538408866.113 * * * * [misc]progress: [ 89 / 137 ] simplifiying candidate # 1538408866.113 * * * * [misc]progress: [ 90 / 137 ] simplifiying candidate # 1538408866.113 * * * * [misc]progress: [ 91 / 137 ] simplifiying candidate # 1538408866.113 * * * * [misc]progress: [ 92 / 137 ] simplifiying candidate # 1538408866.113 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538408866.114 * * [misc]simplify: iters left: 6 (9 enodes) 1538408866.115 * * [misc]simplify: iters left: 5 (12 enodes) 1538408866.118 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538408866.118 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538408866.118 * * * * [misc]progress: [ 93 / 137 ] simplifiying candidate # 1538408866.118 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538408866.118 * * [misc]simplify: iters left: 4 (5 enodes) 1538408866.120 * * [misc]simplify: iters left: 3 (9 enodes) 1538408866.122 * * [misc]simplify: iters left: 2 (11 enodes) 1538408866.124 * * [misc]simplify: iters left: 1 (13 enodes) 1538408866.126 * [exit]simplify: Simplified to (sqrt PI) 1538408866.126 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1538408866.126 * * * * [misc]progress: [ 94 / 137 ] simplifiying candidate # 1538408866.126 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538408866.126 * * [misc]simplify: iters left: 4 (5 enodes) 1538408866.127 * * [misc]simplify: iters left: 3 (9 enodes) 1538408866.129 * * [misc]simplify: iters left: 2 (11 enodes) 1538408866.131 * * [misc]simplify: iters left: 1 (13 enodes) 1538408866.133 * [exit]simplify: Simplified to (sqrt PI) 1538408866.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1538408866.133 * * * * [misc]progress: [ 95 / 137 ] simplifiying candidate # 1538408866.133 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538408866.134 * * [misc]simplify: iters left: 4 (5 enodes) 1538408866.136 * * [misc]simplify: iters left: 3 (8 enodes) 1538408866.139 * * [misc]simplify: iters left: 2 (9 enodes) 1538408866.143 * * [misc]simplify: iters left: 1 (12 enodes) 1538408866.147 * [exit]simplify: Simplified to (sqrt PI) 1538408866.147 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1538408866.147 * * * * [misc]progress: [ 96 / 137 ] simplifiying candidate # 1538408866.147 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538408866.148 * * [misc]simplify: iters left: 4 (5 enodes) 1538408866.150 * * [misc]simplify: iters left: 3 (8 enodes) 1538408866.153 * * [misc]simplify: iters left: 2 (9 enodes) 1538408866.157 * * [misc]simplify: iters left: 1 (12 enodes) 1538408866.161 * [exit]simplify: Simplified to (sqrt PI) 1538408866.161 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1538408866.161 * * * * [misc]progress: [ 97 / 137 ] simplifiying candidate # 1538408866.161 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1538408866.162 * * [misc]simplify: iters left: 6 (11 enodes) 1538408866.166 * * [misc]simplify: iters left: 5 (17 enodes) 1538408866.176 * * [misc]simplify: iters left: 4 (26 enodes) 1538408866.186 * * [misc]simplify: iters left: 3 (42 enodes) 1538408866.204 * * [misc]simplify: iters left: 2 (81 enodes) 1538408866.231 * * [misc]simplify: iters left: 1 (119 enodes) 1538408866.265 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538408866.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538408866.265 * * * * [misc]progress: [ 98 / 137 ] simplifiying candidate # 1538408866.265 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1538408866.266 * * [misc]simplify: iters left: 6 (10 enodes) 1538408866.270 * * [misc]simplify: iters left: 5 (16 enodes) 1538408866.276 * * [misc]simplify: iters left: 4 (25 enodes) 1538408866.285 * * [misc]simplify: iters left: 3 (41 enodes) 1538408866.305 * * [misc]simplify: iters left: 2 (80 enodes) 1538408866.322 * * [misc]simplify: iters left: 1 (118 enodes) 1538408866.356 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538408866.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538408866.356 * * * * [misc]progress: [ 99 / 137 ] simplifiying candidate # 1538408866.356 * * * * [misc]progress: [ 100 / 137 ] simplifiying candidate # 1538408866.356 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2)))) 1538408866.357 * * [misc]simplify: iters left: 6 (10 enodes) 1538408866.361 * * [misc]simplify: iters left: 5 (13 enodes) 1538408866.365 * [exit]simplify: Simplified to (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))) 1538408866.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (sqrt k))) (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))))) 1538408866.365 * * * * [misc]progress: [ 101 / 137 ] simplifiying candidate # 1538408866.365 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538408866.366 * * [misc]simplify: iters left: 5 (7 enodes) 1538408866.368 * * [misc]simplify: iters left: 4 (10 enodes) 1538408866.371 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538408866.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (sqrt k))) (pow (* n 2) (- (/ k 2))))) 1538408866.372 * * * * [misc]progress: [ 102 / 137 ] simplifiying candidate # 1538408866.372 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1538408866.372 * * [misc]simplify: iters left: 3 (4 enodes) 1538408866.373 * * [misc]simplify: iters left: 2 (5 enodes) 1538408866.375 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538408866.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (sqrt (* 2 n)))) 1538408866.375 * * * * [misc]progress: [ 103 / 137 ] simplifiying candidate # 1538408866.375 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1538408866.376 * * [misc]simplify: iters left: 6 (8 enodes) 1538408866.379 * * [misc]simplify: iters left: 5 (11 enodes) 1538408866.383 * * [misc]simplify: iters left: 4 (20 enodes) 1538408866.391 * * [misc]simplify: iters left: 3 (30 enodes) 1538408866.401 * * [misc]simplify: iters left: 2 (45 enodes) 1538408866.418 * * [misc]simplify: iters left: 1 (53 enodes) 1538408866.432 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1538408866.432 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408866.433 * * * * [misc]progress: [ 104 / 137 ] simplifiying candidate # 1538408866.433 * * * * [misc]progress: [ 105 / 137 ] simplifiying candidate # 1538408866.433 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1538408866.433 * * [misc]simplify: iters left: 6 (10 enodes) 1538408866.435 * * [misc]simplify: iters left: 5 (13 enodes) 1538408866.440 * * [misc]simplify: iters left: 4 (16 enodes) 1538408866.445 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1538408866.445 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408866.445 * * * * [misc]progress: [ 106 / 137 ] simplifiying candidate # 1538408866.445 * * * * [misc]progress: [ 107 / 137 ] simplifiying candidate # 1538408866.445 * * * * [misc]progress: [ 108 / 137 ] simplifiying candidate # 1538408866.445 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1538408866.446 * * [misc]simplify: iters left: 6 (12 enodes) 1538408866.452 * * [misc]simplify: iters left: 5 (21 enodes) 1538408866.463 * * [misc]simplify: iters left: 4 (67 enodes) 1538408866.511 * * [misc]simplify: iters left: 3 (321 enodes) 1538408867.130 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1538408867.130 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.130 * * * * [misc]progress: [ 109 / 137 ] simplifiying candidate # 1538408867.130 * * * * [misc]progress: [ 110 / 137 ] simplifiying candidate # 1538408867.130 * * * * [misc]progress: [ 111 / 137 ] simplifiying candidate # 1538408867.130 * * * * [misc]progress: [ 112 / 137 ] simplifiying candidate # 1538408867.131 * * * * [misc]progress: [ 113 / 137 ] simplifiying candidate # 1538408867.131 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538408867.132 * * [misc]simplify: iters left: 6 (7 enodes) 1538408867.135 * * [misc]simplify: iters left: 5 (12 enodes) 1538408867.140 * * [misc]simplify: iters left: 4 (22 enodes) 1538408867.149 * * [misc]simplify: iters left: 3 (35 enodes) 1538408867.160 * * [misc]simplify: iters left: 2 (42 enodes) 1538408867.172 * * [misc]simplify: iters left: 1 (47 enodes) 1538408867.184 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538408867.184 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.184 * * * * [misc]progress: [ 114 / 137 ] simplifiying candidate # 1538408867.185 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538408867.185 * * [misc]simplify: iters left: 6 (7 enodes) 1538408867.187 * * [misc]simplify: iters left: 5 (12 enodes) 1538408867.190 * * [misc]simplify: iters left: 4 (22 enodes) 1538408867.194 * * [misc]simplify: iters left: 3 (35 enodes) 1538408867.200 * * [misc]simplify: iters left: 2 (42 enodes) 1538408867.206 * * [misc]simplify: iters left: 1 (47 enodes) 1538408867.214 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538408867.214 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.214 * * * * [misc]progress: [ 115 / 137 ] simplifiying candidate # 1538408867.214 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538408867.215 * * [misc]simplify: iters left: 6 (7 enodes) 1538408867.218 * * [misc]simplify: iters left: 5 (12 enodes) 1538408867.223 * * [misc]simplify: iters left: 4 (22 enodes) 1538408867.232 * * [misc]simplify: iters left: 3 (32 enodes) 1538408867.241 * * [misc]simplify: iters left: 2 (36 enodes) 1538408867.251 * * [misc]simplify: iters left: 1 (43 enodes) 1538408867.269 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538408867.269 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.269 * * * * [misc]progress: [ 116 / 137 ] simplifiying candidate # 1538408867.269 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538408867.270 * * [misc]simplify: iters left: 6 (7 enodes) 1538408867.273 * * [misc]simplify: iters left: 5 (12 enodes) 1538408867.278 * * [misc]simplify: iters left: 4 (22 enodes) 1538408867.287 * * [misc]simplify: iters left: 3 (32 enodes) 1538408867.292 * * [misc]simplify: iters left: 2 (36 enodes) 1538408867.297 * * [misc]simplify: iters left: 1 (43 enodes) 1538408867.306 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538408867.306 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.306 * * * * [misc]progress: [ 117 / 137 ] simplifiying candidate # 1538408867.306 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538408867.306 * * [misc]simplify: iters left: 5 (6 enodes) 1538408867.307 * * [misc]simplify: iters left: 4 (8 enodes) 1538408867.309 * * [misc]simplify: iters left: 3 (11 enodes) 1538408867.311 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538408867.311 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.311 * * * * [misc]progress: [ 118 / 137 ] simplifiying candidate # 1538408867.311 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538408867.311 * * [misc]simplify: iters left: 5 (6 enodes) 1538408867.312 * * [misc]simplify: iters left: 4 (8 enodes) 1538408867.314 * * [misc]simplify: iters left: 3 (11 enodes) 1538408867.316 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538408867.316 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.316 * * * * [misc]progress: [ 119 / 137 ] simplifiying candidate # 1538408867.316 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538408867.316 * * [misc]simplify: iters left: 4 (5 enodes) 1538408867.317 * * [misc]simplify: iters left: 3 (7 enodes) 1538408867.319 * * [misc]simplify: iters left: 2 (10 enodes) 1538408867.320 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538408867.320 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.320 * * * * [misc]progress: [ 120 / 137 ] simplifiying candidate # 1538408867.321 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1538408867.321 * * [misc]simplify: iters left: 4 (4 enodes) 1538408867.322 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1538408867.322 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.322 * * * * [misc]progress: [ 121 / 137 ] simplifiying candidate # 1538408867.322 * [enter]simplify: Simplifying (sqrt (log PI)) 1538408867.322 * * [misc]simplify: iters left: 2 (3 enodes) 1538408867.323 * [exit]simplify: Simplified to (sqrt (log PI)) 1538408867.323 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.323 * * * * [misc]progress: [ 122 / 137 ] simplifiying candidate # 1538408867.323 * * * * [misc]progress: [ 123 / 137 ] simplifiying candidate # 1538408867.323 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1538408867.324 * * [misc]simplify: iters left: 6 (9 enodes) 1538408867.327 * * [misc]simplify: iters left: 5 (23 enodes) 1538408867.333 * * [misc]simplify: iters left: 4 (47 enodes) 1538408867.345 * * [misc]simplify: iters left: 3 (69 enodes) 1538408867.365 * * [misc]simplify: iters left: 2 (82 enodes) 1538408867.385 * * [misc]simplify: iters left: 1 (105 enodes) 1538408867.410 * [exit]simplify: Simplified to (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)) 1538408867.410 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.410 * * * * [misc]progress: [ 124 / 137 ] simplifiying candidate # 1538408867.410 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1538408867.410 * * [misc]simplify: iters left: 4 (5 enodes) 1538408867.411 * * [misc]simplify: iters left: 3 (6 enodes) 1538408867.412 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1538408867.412 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.412 * * * * [misc]progress: [ 125 / 137 ] simplifiying candidate # 1538408867.413 * * * * [misc]progress: [ 126 / 137 ] simplifiying candidate # 1538408867.413 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (+ (* +nan.0 (/ n (sqrt 2))) (- (* +nan.0 (/ (pow n 2) (sqrt 2)))))))) 1538408867.413 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.413 * * * * [misc]progress: [ 127 / 137 ] simplifiying candidate # 1538408867.413 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (* +nan.0 (/ 1 (* (sqrt 2) n)))))))) 1538408867.413 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.413 * * * * [misc]progress: [ 128 / 137 ] simplifiying candidate # 1538408867.413 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1538408867.413 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.413 * * * * [misc]progress: [ 129 / 137 ] simplifiying candidate # 1538408867.413 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* n (pow k 2)) (sqrt 2))) (- (+ (* +nan.0 (/ k (sqrt 2))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (sqrt 2)))))))))) 1538408867.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538408867.413 * * * * [misc]progress: [ 130 / 137 ] simplifiying candidate # 1538408867.413 * [enter]simplify: Simplifying (* +nan.0 (/ k (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n)))) 1538408867.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538408867.413 * * * * [misc]progress: [ 131 / 137 ] simplifiying candidate # 1538408867.414 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ 1 (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k)))))))))) 1538408867.414 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538408867.414 * * * * [misc]progress: [ 132 / 137 ] simplifiying candidate # 1538408867.414 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log PI) k))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (log PI) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n k))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (pow (log n) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (* n (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (pow (log PI) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log PI) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log n) k))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))))))))))))))))))))) 1538408867.414 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408867.414 * * * * [misc]progress: [ 133 / 137 ] simplifiying candidate # 1538408867.414 * [enter]simplify: Simplifying (* +nan.0 (/ (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* n (pow PI (- 1/2 (* 1/2 k)))))) k)) 1538408867.414 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408867.414 * * * * [misc]progress: [ 134 / 137 ] simplifiying candidate # 1538408867.414 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) n))))))) 1538408867.414 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538408867.414 * * * * [misc]progress: [ 135 / 137 ] simplifiying candidate # 1538408867.414 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408867.415 * * [misc]simplify: iters left: 6 (8 enodes) 1538408867.417 * * [misc]simplify: iters left: 5 (16 enodes) 1538408867.422 * * [misc]simplify: iters left: 4 (36 enodes) 1538408867.437 * * [misc]simplify: iters left: 3 (60 enodes) 1538408867.456 * * [misc]simplify: iters left: 2 (72 enodes) 1538408867.475 * * [misc]simplify: iters left: 1 (87 enodes) 1538408867.512 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538408867.512 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.513 * * * * [misc]progress: [ 136 / 137 ] simplifiying candidate # 1538408867.513 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408867.514 * * [misc]simplify: iters left: 6 (8 enodes) 1538408867.518 * * [misc]simplify: iters left: 5 (16 enodes) 1538408867.526 * * [misc]simplify: iters left: 4 (36 enodes) 1538408867.539 * * [misc]simplify: iters left: 3 (60 enodes) 1538408867.552 * * [misc]simplify: iters left: 2 (72 enodes) 1538408867.563 * * [misc]simplify: iters left: 1 (87 enodes) 1538408867.583 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538408867.583 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.583 * * * * [misc]progress: [ 137 / 137 ] simplifiying candidate # 1538408867.583 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538408867.584 * * [misc]simplify: iters left: 6 (8 enodes) 1538408867.586 * * [misc]simplify: iters left: 5 (16 enodes) 1538408867.591 * * [misc]simplify: iters left: 4 (36 enodes) 1538408867.600 * * [misc]simplify: iters left: 3 (60 enodes) 1538408867.611 * * [misc]simplify: iters left: 2 (72 enodes) 1538408867.628 * * [misc]simplify: iters left: 1 (87 enodes) 1538408867.669 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538408867.669 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538408867.670 * * * [misc]progress: adding candidates to table 1538408872.415 * [misc]progress: [Phase 3 of 3] Extracting. 1538408872.415 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1538408872.420 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1538408872.420 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1538408872.569 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1538408872.679 * * * [misc]regime: Found split indices: #