1544087803.394 * [misc]progress: [Phase 1 of 3] Setting up. 1544087803.394 * * * [misc]progress: [1/2] Preparing points 1544087803.394 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544087803.396 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1544087803.401 * * * * [misc]points: Setting MPFR precision to 64 1544087803.402 * * * * [misc]points: Setting MPFR precision to 320 1544087803.403 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1544087803.409 * * * * [misc]points: Setting MPFR precision to 64 1544087803.411 * * * * [misc]points: Setting MPFR precision to 320 1544087803.413 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1544087803.419 * * * * [misc]points: Setting MPFR precision to 64 1544087803.422 * * * * [misc]points: Setting MPFR precision to 320 1544087803.426 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1544087803.432 * * * * [misc]points: Setting MPFR precision to 64 1544087803.437 * * * * [misc]points: Setting MPFR precision to 320 1544087803.452 * * * * [misc]points: Computing exacts for 256 points 1544087803.458 * * * * [misc]points: Setting MPFR precision to 64 1544087803.473 * * * * [misc]points: Setting MPFR precision to 320 1544087803.490 * * * * [misc]points: Setting MPFR precision to 576 1544087803.508 * * * * [misc]points: Setting MPFR precision to 832 1544087803.527 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.547 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.569 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087803.569 * * * * [misc]points: Sampling 209 additional inputs, on iter 1 have 47 / 256 1544087803.571 * * * * [misc]points: Computing exacts on every 13 of 209 points to ramp up precision 1544087803.588 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.588 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.606 * * * * [misc]points: Computing exacts on every 6 of 209 points to ramp up precision 1544087803.624 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.627 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.630 * * * * [misc]points: Computing exacts on every 3 of 209 points to ramp up precision 1544087803.649 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.651 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.654 * * * * [misc]points: Computing exacts for 209 points 1544087803.669 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.678 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.689 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087803.689 * * * * [misc]points: Sampling 172 additional inputs, on iter 2 have 84 / 256 1544087803.690 * * * * [misc]points: Computing exacts on every 10 of 172 points to ramp up precision 1544087803.710 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.711 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.712 * * * * [misc]points: Computing exacts on every 5 of 172 points to ramp up precision 1544087803.743 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.746 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.748 * * * * [misc]points: Computing exacts on every 2 of 172 points to ramp up precision 1544087803.768 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.773 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.778 * * * * [misc]points: Computing exacts for 172 points 1544087803.795 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.802 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.808 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087803.809 * * * * [misc]points: Sampling 137 additional inputs, on iter 3 have 119 / 256 1544087803.809 * * * * [misc]points: Computing exacts on every 8 of 137 points to ramp up precision 1544087803.828 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.829 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.830 * * * * [misc]points: Computing exacts on every 4 of 137 points to ramp up precision 1544087803.839 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.841 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.842 * * * * [misc]points: Computing exacts on every 2 of 137 points to ramp up precision 1544087803.864 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.868 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.873 * * * * [misc]points: Computing exacts for 137 points 1544087803.893 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.904 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.916 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087803.917 * * * * [misc]points: Sampling 106 additional inputs, on iter 4 have 150 / 256 1544087803.918 * * * * [misc]points: Computing exacts on every 6 of 106 points to ramp up precision 1544087803.949 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.950 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.951 * * * * [misc]points: Computing exacts on every 3 of 106 points to ramp up precision 1544087803.972 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.973 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.974 * * * * [misc]points: Computing exacts for 106 points 1544087803.987 * * * * [misc]points: Setting MPFR precision to 1088 1544087803.992 * * * * [misc]points: Setting MPFR precision to 1344 1544087803.996 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087803.996 * * * * [misc]points: Sampling 85 additional inputs, on iter 5 have 171 / 256 1544087803.997 * * * * [misc]points: Computing exacts on every 5 of 85 points to ramp up precision 1544087804.015 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.016 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.018 * * * * [misc]points: Computing exacts on every 2 of 85 points to ramp up precision 1544087804.039 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.042 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.044 * * * * [misc]points: Computing exacts for 85 points 1544087804.073 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.078 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.082 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.082 * * * * [misc]points: Sampling 67 additional inputs, on iter 6 have 189 / 256 1544087804.083 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision 1544087804.093 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.093 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.094 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision 1544087804.108 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.110 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.111 * * * * [misc]points: Computing exacts for 67 points 1544087804.131 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.137 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.143 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.144 * * * * [misc]points: Sampling 51 additional inputs, on iter 7 have 205 / 256 1544087804.144 * * * * [misc]points: Computing exacts on every 3 of 51 points to ramp up precision 1544087804.157 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.158 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.159 * * * * [misc]points: Computing exacts for 51 points 1544087804.169 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.172 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.177 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.177 * * * * [misc]points: Sampling 38 additional inputs, on iter 8 have 218 / 256 1544087804.177 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision 1544087804.197 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.199 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.200 * * * * [misc]points: Computing exacts for 38 points 1544087804.217 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.218 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.220 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.220 * * * * [misc]points: Sampling 29 additional inputs, on iter 9 have 227 / 256 1544087804.220 * * * * [misc]points: Computing exacts for 29 points 1544087804.230 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.232 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.233 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.233 * * * * [misc]points: Sampling 25 additional inputs, on iter 10 have 231 / 256 1544087804.233 * * * * [misc]points: Computing exacts for 25 points 1544087804.256 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.258 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.260 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.260 * * * * [misc]points: Sampling 20 additional inputs, on iter 11 have 236 / 256 1544087804.260 * * * * [misc]points: Computing exacts for 20 points 1544087804.272 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.273 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.274 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.274 * * * * [misc]points: Sampling 18 additional inputs, on iter 12 have 238 / 256 1544087804.274 * * * * [misc]points: Computing exacts for 18 points 1544087804.284 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.284 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.285 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.285 * * * * [misc]points: Sampling 13 additional inputs, on iter 13 have 243 / 256 1544087804.285 * * * * [misc]points: Computing exacts for 13 points 1544087804.307 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.308 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.309 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.310 * * * * [misc]points: Sampling 9 additional inputs, on iter 14 have 247 / 256 1544087804.310 * * * * [misc]points: Computing exacts for 9 points 1544087804.330 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.331 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.332 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.332 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1544087804.332 * * * * [misc]points: Computing exacts for 8 points 1544087804.356 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.357 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.358 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.358 * * * * [misc]points: Sampling 7 additional inputs, on iter 16 have 249 / 256 1544087804.358 * * * * [misc]points: Computing exacts for 7 points 1544087804.368 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.368 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.369 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.369 * * * * [misc]points: Sampling 7 additional inputs, on iter 17 have 249 / 256 1544087804.369 * * * * [misc]points: Computing exacts for 7 points 1544087804.379 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.379 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.379 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.379 * * * * [misc]points: Sampling 6 additional inputs, on iter 18 have 250 / 256 1544087804.379 * * * * [misc]points: Computing exacts for 6 points 1544087804.400 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.401 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.401 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.401 * * * * [misc]points: Sampling 6 additional inputs, on iter 19 have 250 / 256 1544087804.402 * * * * [misc]points: Computing exacts for 6 points 1544087804.412 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.413 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.413 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.413 * * * * [misc]points: Sampling 5 additional inputs, on iter 20 have 251 / 256 1544087804.413 * * * * [misc]points: Computing exacts for 5 points 1544087804.425 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.426 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.426 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.426 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 252 / 256 1544087804.426 * * * * [misc]points: Computing exacts for 4 points 1544087804.441 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.442 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.442 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.442 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 253 / 256 1544087804.442 * * * * [misc]points: Computing exacts for 4 points 1544087804.463 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.463 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.464 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.464 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 253 / 256 1544087804.464 * * * * [misc]points: Computing exacts for 4 points 1544087804.487 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.488 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.488 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.488 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 254 / 256 1544087804.488 * * * * [misc]points: Computing exacts for 4 points 1544087804.504 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.504 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.504 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.504 * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 254 / 256 1544087804.504 * * * * [misc]points: Computing exacts for 4 points 1544087804.516 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.516 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.516 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.516 * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 255 / 256 1544087804.516 * * * * [misc]points: Computing exacts for 4 points 1544087804.526 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.526 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.526 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.526 * * * * [misc]points: Sampling 4 additional inputs, on iter 27 have 255 / 256 1544087804.526 * * * * [misc]points: Computing exacts for 4 points 1544087804.536 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.536 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.537 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.537 * * * * [misc]points: Sampling 4 additional inputs, on iter 28 have 255 / 256 1544087804.537 * * * * [misc]points: Computing exacts for 4 points 1544087804.548 * * * * [misc]points: Setting MPFR precision to 1088 1544087804.548 * * * * [misc]points: Setting MPFR precision to 1344 1544087804.549 * * * * [misc]points: Filtering points with unrepresentable outputs 1544087804.549 * * * * [exit]points: Sampled 257 points with exact outputs 1544087804.549 * * * [misc]progress: [2/2] Setting up program. 1544087804.552 * [misc]progress: [Phase 2 of 3] Improving. 1544087804.552 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544087804.552 * * [misc]simplify: iters left: 6 (13 enodes) 1544087804.554 * * [misc]simplify: iters left: 5 (28 enodes) 1544087804.558 * * [misc]simplify: iters left: 4 (44 enodes) 1544087804.565 * * [misc]simplify: iters left: 3 (54 enodes) 1544087804.572 * * [misc]simplify: iters left: 2 (57 enodes) 1544087804.578 * * [misc]simplify: iters left: 1 (65 enodes) 1544087804.585 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544087804.591 * * [misc]progress: iteration 1 / 4 1544087804.591 * * * [misc]progress: picking best candidate 1544087804.596 * * * * [misc]pick: Picked # 1544087804.596 * * * [misc]progress: localizing error 1544087804.653 * * * [misc]progress: generating rewritten candidates 1544087804.653 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1544087804.657 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1544087804.664 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) 1544087804.666 * * * [misc]progress: generating series expansions 1544087804.666 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1544087804.666 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544087804.666 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544087804.666 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.666 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.666 * [misc]taylor: Taking taylor expansion of k in k 1544087804.666 * [misc]backup-simplify: Simplify 0 into 0 1544087804.666 * [misc]backup-simplify: Simplify 1 into 1 1544087804.666 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.666 * [misc]backup-simplify: Simplify 2 into 2 1544087804.666 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544087804.666 * [misc]taylor: Taking taylor expansion of n in k 1544087804.666 * [misc]backup-simplify: Simplify n into n 1544087804.666 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.667 * [misc]backup-simplify: Simplify PI into PI 1544087804.667 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544087804.667 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544087804.667 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544087804.667 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087804.667 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.667 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.667 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544087804.667 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544087804.667 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544087804.667 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544087804.667 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544087804.667 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087804.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.667 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087804.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.667 * [misc]taylor: Taking taylor expansion of k in n 1544087804.667 * [misc]backup-simplify: Simplify k into k 1544087804.667 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544087804.668 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544087804.668 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.668 * [misc]backup-simplify: Simplify 2 into 2 1544087804.668 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087804.668 * [misc]taylor: Taking taylor expansion of n in n 1544087804.668 * [misc]backup-simplify: Simplify 0 into 0 1544087804.668 * [misc]backup-simplify: Simplify 1 into 1 1544087804.668 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.668 * [misc]backup-simplify: Simplify PI into PI 1544087804.668 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087804.668 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087804.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087804.669 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544087804.669 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.669 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087804.669 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087804.669 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087804.670 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.670 * [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)))) 1544087804.671 * [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))))) 1544087804.671 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.671 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.671 * [misc]taylor: Taking taylor expansion of k in n 1544087804.671 * [misc]backup-simplify: Simplify k into k 1544087804.671 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.671 * [misc]backup-simplify: Simplify 2 into 2 1544087804.671 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087804.671 * [misc]taylor: Taking taylor expansion of n in n 1544087804.671 * [misc]backup-simplify: Simplify 0 into 0 1544087804.671 * [misc]backup-simplify: Simplify 1 into 1 1544087804.671 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.671 * [misc]backup-simplify: Simplify PI into PI 1544087804.671 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087804.671 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087804.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087804.672 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544087804.672 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.672 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087804.672 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087804.672 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087804.673 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.673 * [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)))) 1544087804.673 * [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))))) 1544087804.674 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.674 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.674 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.674 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.674 * [misc]taylor: Taking taylor expansion of k in k 1544087804.674 * [misc]backup-simplify: Simplify 0 into 0 1544087804.674 * [misc]backup-simplify: Simplify 1 into 1 1544087804.674 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of n in k 1544087804.674 * [misc]backup-simplify: Simplify n into n 1544087804.674 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087804.674 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544087804.674 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.674 * [misc]backup-simplify: Simplify 2 into 2 1544087804.674 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.674 * [misc]backup-simplify: Simplify PI into PI 1544087804.674 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.674 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.674 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087804.675 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.675 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.675 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.675 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544087804.676 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544087804.676 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544087804.677 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544087804.677 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544087804.679 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544087804.679 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544087804.679 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.680 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.680 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544087804.681 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087804.681 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.681 * [misc]backup-simplify: Simplify 0 into 0 1544087804.681 * [misc]backup-simplify: Simplify 0 into 0 1544087804.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544087804.682 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544087804.684 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544087804.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.684 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087804.684 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087804.684 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087804.685 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544087804.685 * [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))))))) 1544087804.686 * [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))))))) 1544087804.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087804.688 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544087804.691 * [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 1544087804.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544087804.692 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.692 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.693 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544087804.696 * [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 1544087804.696 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.696 * [misc]backup-simplify: Simplify 0 into 0 1544087804.696 * [misc]backup-simplify: Simplify 0 into 0 1544087804.696 * [misc]backup-simplify: Simplify 0 into 0 1544087804.697 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544087804.698 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087804.703 * [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 1544087804.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087804.704 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.705 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544087804.707 * [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))))) 1544087804.709 * [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))))) 1544087804.714 * [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))))) 1544087804.715 * [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)))) 1544087804.715 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544087804.715 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.715 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.715 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of k in k 1544087804.715 * [misc]backup-simplify: Simplify 0 into 0 1544087804.715 * [misc]backup-simplify: Simplify 1 into 1 1544087804.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.715 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.715 * [misc]backup-simplify: Simplify 2 into 2 1544087804.715 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544087804.715 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.715 * [misc]backup-simplify: Simplify PI into PI 1544087804.715 * [misc]taylor: Taking taylor expansion of n in k 1544087804.715 * [misc]backup-simplify: Simplify n into n 1544087804.715 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544087804.715 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544087804.715 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544087804.716 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.716 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087804.716 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087804.716 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544087804.716 * [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)))) 1544087804.716 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of k in n 1544087804.716 * [misc]backup-simplify: Simplify k into k 1544087804.716 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.716 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.716 * [misc]backup-simplify: Simplify 2 into 2 1544087804.716 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.716 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.716 * [misc]backup-simplify: Simplify PI into PI 1544087804.716 * [misc]taylor: Taking taylor expansion of n in n 1544087804.716 * [misc]backup-simplify: Simplify 0 into 0 1544087804.716 * [misc]backup-simplify: Simplify 1 into 1 1544087804.717 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.717 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.717 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.717 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.717 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087804.717 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087804.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.718 * [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))) 1544087804.718 * [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)))) 1544087804.719 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of k in n 1544087804.719 * [misc]backup-simplify: Simplify k into k 1544087804.719 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.719 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.719 * [misc]backup-simplify: Simplify 2 into 2 1544087804.719 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.719 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.719 * [misc]backup-simplify: Simplify PI into PI 1544087804.719 * [misc]taylor: Taking taylor expansion of n in n 1544087804.719 * [misc]backup-simplify: Simplify 0 into 0 1544087804.719 * [misc]backup-simplify: Simplify 1 into 1 1544087804.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.719 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.720 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.720 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.720 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087804.720 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087804.720 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.720 * [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))) 1544087804.721 * [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)))) 1544087804.721 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.721 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of k in k 1544087804.721 * [misc]backup-simplify: Simplify 0 into 0 1544087804.721 * [misc]backup-simplify: Simplify 1 into 1 1544087804.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.721 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544087804.721 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.721 * [misc]backup-simplify: Simplify 2 into 2 1544087804.721 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.721 * [misc]backup-simplify: Simplify PI into PI 1544087804.722 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.722 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.722 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087804.722 * [misc]taylor: Taking taylor expansion of n in k 1544087804.722 * [misc]backup-simplify: Simplify n into n 1544087804.722 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087804.722 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.722 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087804.722 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087804.722 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087804.723 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544087804.723 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544087804.723 * [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)))) 1544087804.724 * [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)))) 1544087804.724 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544087804.725 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544087804.726 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544087804.726 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087804.727 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087804.727 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.728 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544087804.729 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087804.729 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.729 * [misc]backup-simplify: Simplify 0 into 0 1544087804.729 * [misc]backup-simplify: Simplify 0 into 0 1544087804.729 * [misc]backup-simplify: Simplify 0 into 0 1544087804.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087804.730 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087804.733 * [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 1544087804.733 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.734 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087804.734 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.734 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.734 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.735 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544087804.739 * [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 1544087804.739 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.739 * [misc]backup-simplify: Simplify 0 into 0 1544087804.739 * [misc]backup-simplify: Simplify 0 into 0 1544087804.739 * [misc]backup-simplify: Simplify 0 into 0 1544087804.739 * [misc]backup-simplify: Simplify 0 into 0 1544087804.740 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087804.741 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087804.746 * [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 1544087804.746 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544087804.746 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.746 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.747 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.747 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544087804.751 * [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 1544087804.751 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.751 * [misc]backup-simplify: Simplify 0 into 0 1544087804.751 * [misc]backup-simplify: Simplify 0 into 0 1544087804.752 * [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))))) 1544087804.752 * [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)) 1544087804.752 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544087804.752 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087804.752 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544087804.752 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544087804.752 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087804.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.752 * [misc]taylor: Taking taylor expansion of k in k 1544087804.753 * [misc]backup-simplify: Simplify 0 into 0 1544087804.753 * [misc]backup-simplify: Simplify 1 into 1 1544087804.753 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.753 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.753 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544087804.753 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544087804.753 * [misc]taylor: Taking taylor expansion of -2 in k 1544087804.753 * [misc]backup-simplify: Simplify -2 into -2 1544087804.753 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544087804.753 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.753 * [misc]backup-simplify: Simplify PI into PI 1544087804.753 * [misc]taylor: Taking taylor expansion of n in k 1544087804.753 * [misc]backup-simplify: Simplify n into n 1544087804.753 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544087804.753 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544087804.753 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544087804.753 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.754 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.754 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544087804.754 * [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))) 1544087804.754 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of k in n 1544087804.754 * [misc]backup-simplify: Simplify k into k 1544087804.754 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.754 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of -2 in n 1544087804.754 * [misc]backup-simplify: Simplify -2 into -2 1544087804.754 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.754 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.754 * [misc]backup-simplify: Simplify PI into PI 1544087804.754 * [misc]taylor: Taking taylor expansion of n in n 1544087804.754 * [misc]backup-simplify: Simplify 0 into 0 1544087804.754 * [misc]backup-simplify: Simplify 1 into 1 1544087804.755 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.755 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087804.756 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544087804.756 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.756 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087804.756 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.757 * [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))) 1544087804.757 * [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)))) 1544087804.757 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of k in n 1544087804.758 * [misc]backup-simplify: Simplify k into k 1544087804.758 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.758 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of -2 in n 1544087804.758 * [misc]backup-simplify: Simplify -2 into -2 1544087804.758 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.758 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.758 * [misc]backup-simplify: Simplify PI into PI 1544087804.758 * [misc]taylor: Taking taylor expansion of n in n 1544087804.758 * [misc]backup-simplify: Simplify 0 into 0 1544087804.758 * [misc]backup-simplify: Simplify 1 into 1 1544087804.758 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.759 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087804.759 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544087804.759 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.759 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087804.760 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.761 * [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))) 1544087804.761 * [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)))) 1544087804.761 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544087804.761 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544087804.761 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087804.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.762 * [misc]taylor: Taking taylor expansion of k in k 1544087804.762 * [misc]backup-simplify: Simplify 0 into 0 1544087804.762 * [misc]backup-simplify: Simplify 1 into 1 1544087804.762 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.762 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544087804.762 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544087804.762 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544087804.762 * [misc]taylor: Taking taylor expansion of -2 in k 1544087804.762 * [misc]backup-simplify: Simplify -2 into -2 1544087804.762 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.762 * [misc]backup-simplify: Simplify PI into PI 1544087804.762 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087804.763 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544087804.763 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087804.763 * [misc]taylor: Taking taylor expansion of n in k 1544087804.763 * [misc]backup-simplify: Simplify n into n 1544087804.763 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087804.763 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.763 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.763 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087804.764 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544087804.764 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544087804.765 * [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)))) 1544087804.765 * [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)))) 1544087804.767 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544087804.767 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544087804.770 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544087804.770 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087804.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087804.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.771 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.772 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544087804.773 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087804.773 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.773 * [misc]backup-simplify: Simplify 0 into 0 1544087804.773 * [misc]backup-simplify: Simplify 0 into 0 1544087804.773 * [misc]backup-simplify: Simplify 0 into 0 1544087804.775 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087804.776 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087804.780 * [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 1544087804.780 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087804.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.781 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.781 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544087804.783 * [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 1544087804.783 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.783 * [misc]backup-simplify: Simplify 0 into 0 1544087804.783 * [misc]backup-simplify: Simplify 0 into 0 1544087804.783 * [misc]backup-simplify: Simplify 0 into 0 1544087804.783 * [misc]backup-simplify: Simplify 0 into 0 1544087804.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087804.785 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087804.790 * [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 1544087804.790 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.790 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544087804.790 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.791 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544087804.793 * [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 1544087804.793 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.793 * [misc]backup-simplify: Simplify 0 into 0 1544087804.793 * [misc]backup-simplify: Simplify 0 into 0 1544087804.794 * [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))))) 1544087804.794 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1544087804.794 * [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)))) 1544087804.794 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544087804.794 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544087804.794 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087804.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.794 * [misc]taylor: Taking taylor expansion of k in k 1544087804.794 * [misc]backup-simplify: Simplify 0 into 0 1544087804.794 * [misc]backup-simplify: Simplify 1 into 1 1544087804.794 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.794 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087804.795 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087804.795 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.795 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.795 * [misc]taylor: Taking taylor expansion of k in k 1544087804.795 * [misc]backup-simplify: Simplify 0 into 0 1544087804.795 * [misc]backup-simplify: Simplify 1 into 1 1544087804.795 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.795 * [misc]backup-simplify: Simplify 2 into 2 1544087804.795 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544087804.795 * [misc]taylor: Taking taylor expansion of n in k 1544087804.795 * [misc]backup-simplify: Simplify n into n 1544087804.795 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.795 * [misc]backup-simplify: Simplify PI into PI 1544087804.795 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544087804.795 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544087804.795 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544087804.795 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087804.796 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.796 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.796 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544087804.796 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544087804.796 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of k in n 1544087804.796 * [misc]backup-simplify: Simplify k into k 1544087804.796 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.796 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544087804.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087804.796 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544087804.796 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.796 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.796 * [misc]taylor: Taking taylor expansion of k in n 1544087804.796 * [misc]backup-simplify: Simplify k into k 1544087804.796 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.796 * [misc]backup-simplify: Simplify 2 into 2 1544087804.796 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087804.796 * [misc]taylor: Taking taylor expansion of n in n 1544087804.796 * [misc]backup-simplify: Simplify 0 into 0 1544087804.796 * [misc]backup-simplify: Simplify 1 into 1 1544087804.796 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.796 * [misc]backup-simplify: Simplify PI into PI 1544087804.797 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087804.797 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087804.797 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087804.797 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544087804.798 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.798 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087804.798 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087804.798 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087804.798 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.799 * [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)))) 1544087804.799 * [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))))) 1544087804.799 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544087804.799 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544087804.799 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.799 * [misc]taylor: Taking taylor expansion of k in n 1544087804.799 * [misc]backup-simplify: Simplify k into k 1544087804.799 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.799 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544087804.799 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087804.799 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544087804.799 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544087804.799 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544087804.799 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544087804.799 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087804.799 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.799 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087804.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.800 * [misc]taylor: Taking taylor expansion of k in n 1544087804.800 * [misc]backup-simplify: Simplify k into k 1544087804.800 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544087804.800 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544087804.800 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.800 * [misc]backup-simplify: Simplify 2 into 2 1544087804.800 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087804.800 * [misc]taylor: Taking taylor expansion of n in n 1544087804.800 * [misc]backup-simplify: Simplify 0 into 0 1544087804.800 * [misc]backup-simplify: Simplify 1 into 1 1544087804.800 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.800 * [misc]backup-simplify: Simplify PI into PI 1544087804.800 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087804.800 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087804.800 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087804.801 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544087804.801 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.801 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087804.801 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087804.801 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087804.802 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.802 * [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)))) 1544087804.802 * [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))))) 1544087804.803 * [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))) 1544087804.803 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.803 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.803 * [misc]taylor: Taking taylor expansion of k in k 1544087804.803 * [misc]backup-simplify: Simplify 0 into 0 1544087804.803 * [misc]backup-simplify: Simplify 1 into 1 1544087804.803 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of n in k 1544087804.803 * [misc]backup-simplify: Simplify n into n 1544087804.803 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087804.803 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544087804.803 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.803 * [misc]backup-simplify: Simplify 2 into 2 1544087804.803 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.803 * [misc]backup-simplify: Simplify PI into PI 1544087804.803 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.804 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.804 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087804.804 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.804 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.804 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.805 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544087804.805 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544087804.805 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087804.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.805 * [misc]taylor: Taking taylor expansion of k in k 1544087804.805 * [misc]backup-simplify: Simplify 0 into 0 1544087804.805 * [misc]backup-simplify: Simplify 1 into 1 1544087804.805 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.805 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087804.805 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087804.806 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544087804.806 * [misc]backup-simplify: Simplify 0 into 0 1544087804.806 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544087804.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544087804.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544087804.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544087804.810 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.811 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.811 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544087804.813 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087804.814 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544087804.814 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.814 * [misc]backup-simplify: Simplify 0 into 0 1544087804.815 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544087804.815 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544087804.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544087804.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.818 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087804.818 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087804.818 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087804.819 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544087804.821 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1544087804.822 * [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))))))) 1544087804.823 * [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))))))) 1544087804.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087804.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544087804.831 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1544087804.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544087804.831 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.832 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.833 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544087804.836 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087804.836 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.837 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544087804.837 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544087804.837 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.837 * [misc]backup-simplify: Simplify 0 into 0 1544087804.837 * [misc]backup-simplify: Simplify 0 into 0 1544087804.838 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087804.839 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087804.840 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544087804.841 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087804.847 * [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 1544087804.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087804.847 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.848 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544087804.850 * [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))))) 1544087804.855 * [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)))))))) 1544087804.858 * [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)))))))) 1544087804.860 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544087804.862 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544087804.870 * [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 1544087804.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544087804.870 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.871 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544087804.872 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544087804.877 * [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 1544087804.877 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.878 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544087804.879 * [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 1544087804.879 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.879 * [misc]backup-simplify: Simplify 0 into 0 1544087804.879 * [misc]backup-simplify: Simplify 0 into 0 1544087804.879 * [misc]backup-simplify: Simplify 0 into 0 1544087804.879 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087804.880 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087804.883 * [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 1544087804.885 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087804.892 * [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 1544087804.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.893 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087804.893 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.894 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544087804.898 * [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))))))) 1544087804.905 * [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)))))))))))))) 1544087804.909 * [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)))))))))))))) 1544087804.916 * [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)))))))))))))))))))))) 1544087804.916 * [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))))) 1544087804.916 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544087804.916 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544087804.916 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087804.916 * [misc]taylor: Taking taylor expansion of k in k 1544087804.916 * [misc]backup-simplify: Simplify 0 into 0 1544087804.916 * [misc]backup-simplify: Simplify 1 into 1 1544087804.916 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087804.917 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087804.917 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.917 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.917 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of k in k 1544087804.917 * [misc]backup-simplify: Simplify 0 into 0 1544087804.917 * [misc]backup-simplify: Simplify 1 into 1 1544087804.917 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.917 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.917 * [misc]backup-simplify: Simplify 2 into 2 1544087804.917 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544087804.917 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.917 * [misc]backup-simplify: Simplify PI into PI 1544087804.917 * [misc]taylor: Taking taylor expansion of n in k 1544087804.917 * [misc]backup-simplify: Simplify n into n 1544087804.917 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544087804.917 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544087804.917 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544087804.917 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.917 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087804.917 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087804.918 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544087804.918 * [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)))) 1544087804.918 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of k in n 1544087804.918 * [misc]backup-simplify: Simplify k into k 1544087804.918 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544087804.918 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544087804.918 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.918 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of k in n 1544087804.918 * [misc]backup-simplify: Simplify k into k 1544087804.918 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.918 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.918 * [misc]backup-simplify: Simplify 2 into 2 1544087804.918 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.918 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.918 * [misc]backup-simplify: Simplify PI into PI 1544087804.918 * [misc]taylor: Taking taylor expansion of n in n 1544087804.918 * [misc]backup-simplify: Simplify 0 into 0 1544087804.918 * [misc]backup-simplify: Simplify 1 into 1 1544087804.918 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.919 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.919 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.919 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.919 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087804.919 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087804.919 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.920 * [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))) 1544087804.920 * [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)))) 1544087804.920 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087804.920 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544087804.920 * [misc]taylor: Taking taylor expansion of k in n 1544087804.920 * [misc]backup-simplify: Simplify k into k 1544087804.920 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544087804.920 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544087804.920 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087804.920 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544087804.920 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544087804.920 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087804.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.920 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.921 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.921 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.921 * [misc]taylor: Taking taylor expansion of k in n 1544087804.921 * [misc]backup-simplify: Simplify k into k 1544087804.921 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.921 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544087804.921 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544087804.921 * [misc]taylor: Taking taylor expansion of 2 in n 1544087804.921 * [misc]backup-simplify: Simplify 2 into 2 1544087804.921 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.921 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.921 * [misc]backup-simplify: Simplify PI into PI 1544087804.921 * [misc]taylor: Taking taylor expansion of n in n 1544087804.921 * [misc]backup-simplify: Simplify 0 into 0 1544087804.921 * [misc]backup-simplify: Simplify 1 into 1 1544087804.921 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.921 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.921 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.921 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.921 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087804.922 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087804.922 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.922 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1544087804.923 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1544087804.923 * [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)) 1544087804.923 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544087804.923 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544087804.923 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544087804.923 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087804.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.923 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.923 * [misc]taylor: Taking taylor expansion of k in k 1544087804.923 * [misc]backup-simplify: Simplify 0 into 0 1544087804.923 * [misc]backup-simplify: Simplify 1 into 1 1544087804.924 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.924 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544087804.924 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544087804.924 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544087804.924 * [misc]taylor: Taking taylor expansion of 2 in k 1544087804.924 * [misc]backup-simplify: Simplify 2 into 2 1544087804.924 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.924 * [misc]backup-simplify: Simplify PI into PI 1544087804.924 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087804.924 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544087804.924 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087804.924 * [misc]taylor: Taking taylor expansion of n in k 1544087804.924 * [misc]backup-simplify: Simplify n into n 1544087804.924 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087804.924 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.925 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087804.925 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087804.925 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087804.925 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544087804.925 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544087804.926 * [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)))) 1544087804.926 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087804.926 * [misc]taylor: Taking taylor expansion of k in k 1544087804.926 * [misc]backup-simplify: Simplify 0 into 0 1544087804.926 * [misc]backup-simplify: Simplify 1 into 1 1544087804.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087804.926 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087804.927 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544087804.927 * [misc]backup-simplify: Simplify 0 into 0 1544087804.927 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544087804.928 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544087804.929 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544087804.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087804.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087804.929 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.930 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.930 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544087804.931 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087804.932 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544087804.932 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.932 * [misc]backup-simplify: Simplify 0 into 0 1544087804.932 * [misc]backup-simplify: Simplify 0 into 0 1544087804.932 * [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)))))) 1544087804.933 * [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)))))) 1544087804.934 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087804.934 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087804.937 * [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 1544087804.937 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.937 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087804.938 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.938 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.939 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544087804.941 * [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 1544087804.941 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544087804.942 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544087804.942 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.942 * [misc]backup-simplify: Simplify 0 into 0 1544087804.942 * [misc]backup-simplify: Simplify 0 into 0 1544087804.942 * [misc]backup-simplify: Simplify 0 into 0 1544087804.943 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087804.944 * [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)))))) 1544087804.945 * [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)))))) 1544087804.947 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087804.948 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087804.956 * [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 1544087804.956 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087804.956 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544087804.957 * [misc]backup-simplify: Simplify (- 0) into 0 1544087804.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.957 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544087804.958 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544087804.962 * [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 1544087804.962 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544087804.963 * [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 1544087804.963 * [misc]taylor: Taking taylor expansion of 0 in k 1544087804.964 * [misc]backup-simplify: Simplify 0 into 0 1544087804.964 * [misc]backup-simplify: Simplify 0 into 0 1544087804.964 * [misc]backup-simplify: Simplify 0 into 0 1544087804.964 * [misc]backup-simplify: Simplify 0 into 0 1544087804.965 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087804.966 * [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)))))) 1544087804.967 * [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)))))) 1544087804.969 * [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)))))))) 1544087804.970 * [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))) 1544087804.970 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544087804.970 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544087804.970 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087804.970 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544087804.970 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544087804.970 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087804.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.970 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.970 * [misc]taylor: Taking taylor expansion of k in k 1544087804.970 * [misc]backup-simplify: Simplify 0 into 0 1544087804.970 * [misc]backup-simplify: Simplify 1 into 1 1544087804.970 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.970 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.971 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544087804.971 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544087804.971 * [misc]taylor: Taking taylor expansion of -2 in k 1544087804.971 * [misc]backup-simplify: Simplify -2 into -2 1544087804.971 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544087804.971 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.971 * [misc]backup-simplify: Simplify PI into PI 1544087804.971 * [misc]taylor: Taking taylor expansion of n in k 1544087804.971 * [misc]backup-simplify: Simplify n into n 1544087804.971 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544087804.971 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544087804.971 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544087804.971 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.971 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.971 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544087804.972 * [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))) 1544087804.972 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087804.972 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087804.972 * [misc]taylor: Taking taylor expansion of -1 in k 1544087804.972 * [misc]backup-simplify: Simplify -1 into -1 1544087804.972 * [misc]taylor: Taking taylor expansion of k in k 1544087804.972 * [misc]backup-simplify: Simplify 0 into 0 1544087804.972 * [misc]backup-simplify: Simplify 1 into 1 1544087804.972 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087804.972 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087804.973 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087804.973 * [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)))) 1544087804.973 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544087804.973 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087804.973 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544087804.973 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544087804.973 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087804.973 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.973 * [misc]taylor: Taking taylor expansion of k in n 1544087804.973 * [misc]backup-simplify: Simplify k into k 1544087804.973 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.974 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544087804.974 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544087804.974 * [misc]taylor: Taking taylor expansion of -2 in n 1544087804.974 * [misc]backup-simplify: Simplify -2 into -2 1544087804.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.974 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.974 * [misc]backup-simplify: Simplify PI into PI 1544087804.974 * [misc]taylor: Taking taylor expansion of n in n 1544087804.974 * [misc]backup-simplify: Simplify 0 into 0 1544087804.974 * [misc]backup-simplify: Simplify 1 into 1 1544087804.974 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.974 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087804.975 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544087804.975 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.975 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087804.976 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.976 * [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))) 1544087804.977 * [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)))) 1544087804.977 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087804.977 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087804.977 * [misc]taylor: Taking taylor expansion of -1 in n 1544087804.977 * [misc]backup-simplify: Simplify -1 into -1 1544087804.977 * [misc]taylor: Taking taylor expansion of k in n 1544087804.977 * [misc]backup-simplify: Simplify k into k 1544087804.977 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087804.977 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087804.977 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087804.977 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087804.978 * [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))) 1544087804.978 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544087804.978 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087804.978 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544087804.978 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544087804.978 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087804.978 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087804.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.979 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087804.979 * [misc]taylor: Taking taylor expansion of k in n 1544087804.979 * [misc]backup-simplify: Simplify k into k 1544087804.979 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087804.979 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087804.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.979 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544087804.979 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544087804.979 * [misc]taylor: Taking taylor expansion of -2 in n 1544087804.979 * [misc]backup-simplify: Simplify -2 into -2 1544087804.979 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087804.979 * [misc]taylor: Taking taylor expansion of PI in n 1544087804.979 * [misc]backup-simplify: Simplify PI into PI 1544087804.979 * [misc]taylor: Taking taylor expansion of n in n 1544087804.979 * [misc]backup-simplify: Simplify 0 into 0 1544087804.979 * [misc]backup-simplify: Simplify 1 into 1 1544087804.979 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087804.979 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087804.980 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544087804.980 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087804.980 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087804.981 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.981 * [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))) 1544087804.982 * [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)))) 1544087804.982 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087804.982 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087804.982 * [misc]taylor: Taking taylor expansion of -1 in n 1544087804.982 * [misc]backup-simplify: Simplify -1 into -1 1544087804.982 * [misc]taylor: Taking taylor expansion of k in n 1544087804.983 * [misc]backup-simplify: Simplify k into k 1544087804.983 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087804.983 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087804.983 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087804.984 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087804.984 * [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))) 1544087804.985 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of k in k 1544087804.985 * [misc]backup-simplify: Simplify 0 into 0 1544087804.985 * [misc]backup-simplify: Simplify 1 into 1 1544087804.985 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087804.985 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087804.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087804.985 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544087804.985 * [misc]taylor: Taking taylor expansion of -2 in k 1544087804.985 * [misc]backup-simplify: Simplify -2 into -2 1544087804.985 * [misc]taylor: Taking taylor expansion of PI in k 1544087804.985 * [misc]backup-simplify: Simplify PI into PI 1544087804.986 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087804.986 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544087804.986 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087804.986 * [misc]taylor: Taking taylor expansion of n in k 1544087804.986 * [misc]backup-simplify: Simplify n into n 1544087804.986 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087804.986 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087804.986 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087804.987 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087804.987 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544087804.988 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544087804.988 * [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)))) 1544087804.988 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087804.988 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087804.988 * [misc]taylor: Taking taylor expansion of -1 in k 1544087804.988 * [misc]backup-simplify: Simplify -1 into -1 1544087804.988 * [misc]taylor: Taking taylor expansion of k in k 1544087804.988 * [misc]backup-simplify: Simplify 0 into 0 1544087804.988 * [misc]backup-simplify: Simplify 1 into 1 1544087804.989 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087804.989 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087804.989 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087804.990 * [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))))) 1544087804.990 * [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))))) 1544087804.992 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544087804.992 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544087804.995 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544087804.995 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087804.996 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087804.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087804.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087804.997 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544087804.999 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087805.000 * [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 1544087805.000 * [misc]taylor: Taking taylor expansion of 0 in k 1544087805.000 * [misc]backup-simplify: Simplify 0 into 0 1544087805.000 * [misc]backup-simplify: Simplify 0 into 0 1544087805.000 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087805.001 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087805.002 * [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)))))) 1544087805.003 * [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)))))) 1544087805.004 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.005 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087805.010 * [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 1544087805.011 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087805.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087805.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087805.012 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544087805.012 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544087805.016 * [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 1544087805.016 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087805.017 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544087805.018 * [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 1544087805.018 * [misc]taylor: Taking taylor expansion of 0 in k 1544087805.018 * [misc]backup-simplify: Simplify 0 into 0 1544087805.018 * [misc]backup-simplify: Simplify 0 into 0 1544087805.018 * [misc]backup-simplify: Simplify 0 into 0 1544087805.018 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.019 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087805.021 * [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)))))) 1544087805.022 * [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)))))) 1544087805.024 * [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))))))))))) 1544087805.025 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) 1544087805.025 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544087805.025 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544087805.025 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544087805.025 * [misc]taylor: Taking taylor expansion of 2 in n 1544087805.025 * [misc]backup-simplify: Simplify 2 into 2 1544087805.025 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087805.025 * [misc]taylor: Taking taylor expansion of n in n 1544087805.025 * [misc]backup-simplify: Simplify 0 into 0 1544087805.025 * [misc]backup-simplify: Simplify 1 into 1 1544087805.025 * [misc]taylor: Taking taylor expansion of PI in n 1544087805.025 * [misc]backup-simplify: Simplify PI into PI 1544087805.025 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544087805.025 * [misc]taylor: Taking taylor expansion of 2 in n 1544087805.025 * [misc]backup-simplify: Simplify 2 into 2 1544087805.025 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087805.025 * [misc]taylor: Taking taylor expansion of n in n 1544087805.025 * [misc]backup-simplify: Simplify 0 into 0 1544087805.025 * [misc]backup-simplify: Simplify 1 into 1 1544087805.025 * [misc]taylor: Taking taylor expansion of PI in n 1544087805.025 * [misc]backup-simplify: Simplify PI into PI 1544087805.026 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087805.026 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087805.026 * [misc]backup-simplify: Simplify 0 into 0 1544087805.026 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087805.027 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544087805.027 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087805.028 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544087805.029 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544087805.029 * [misc]backup-simplify: Simplify 0 into 0 1544087805.031 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087805.032 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544087805.032 * [misc]backup-simplify: Simplify 0 into 0 1544087805.034 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544087805.037 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544087805.037 * [misc]backup-simplify: Simplify 0 into 0 1544087805.039 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544087805.042 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544087805.042 * [misc]backup-simplify: Simplify 0 into 0 1544087805.046 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544087805.049 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544087805.049 * [misc]backup-simplify: Simplify 0 into 0 1544087805.053 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544087805.057 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544087805.057 * [misc]backup-simplify: Simplify 0 into 0 1544087805.058 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544087805.058 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544087805.058 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544087805.058 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544087805.058 * [misc]taylor: Taking taylor expansion of 2 in n 1544087805.058 * [misc]backup-simplify: Simplify 2 into 2 1544087805.058 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087805.058 * [misc]taylor: Taking taylor expansion of PI in n 1544087805.058 * [misc]backup-simplify: Simplify PI into PI 1544087805.058 * [misc]taylor: Taking taylor expansion of n in n 1544087805.058 * [misc]backup-simplify: Simplify 0 into 0 1544087805.058 * [misc]backup-simplify: Simplify 1 into 1 1544087805.058 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087805.058 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544087805.059 * [misc]taylor: Taking taylor expansion of 2 in n 1544087805.059 * [misc]backup-simplify: Simplify 2 into 2 1544087805.059 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087805.059 * [misc]taylor: Taking taylor expansion of PI in n 1544087805.059 * [misc]backup-simplify: Simplify PI into PI 1544087805.059 * [misc]taylor: Taking taylor expansion of n in n 1544087805.059 * [misc]backup-simplify: Simplify 0 into 0 1544087805.059 * [misc]backup-simplify: Simplify 1 into 1 1544087805.059 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087805.059 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087805.059 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544087805.061 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544087805.061 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544087805.061 * [misc]backup-simplify: Simplify 0 into 0 1544087805.063 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.064 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087805.064 * [misc]backup-simplify: Simplify 0 into 0 1544087805.065 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.067 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087805.067 * [misc]backup-simplify: Simplify 0 into 0 1544087805.069 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.071 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544087805.071 * [misc]backup-simplify: Simplify 0 into 0 1544087805.073 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.076 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544087805.076 * [misc]backup-simplify: Simplify 0 into 0 1544087805.078 * [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 1544087805.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544087805.081 * [misc]backup-simplify: Simplify 0 into 0 1544087805.082 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544087805.082 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544087805.082 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544087805.082 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544087805.082 * [misc]taylor: Taking taylor expansion of -2 in n 1544087805.082 * [misc]backup-simplify: Simplify -2 into -2 1544087805.082 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087805.082 * [misc]taylor: Taking taylor expansion of PI in n 1544087805.082 * [misc]backup-simplify: Simplify PI into PI 1544087805.082 * [misc]taylor: Taking taylor expansion of n in n 1544087805.082 * [misc]backup-simplify: Simplify 0 into 0 1544087805.082 * [misc]backup-simplify: Simplify 1 into 1 1544087805.082 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087805.082 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544087805.083 * [misc]taylor: Taking taylor expansion of -2 in n 1544087805.083 * [misc]backup-simplify: Simplify -2 into -2 1544087805.083 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544087805.083 * [misc]taylor: Taking taylor expansion of PI in n 1544087805.083 * [misc]backup-simplify: Simplify PI into PI 1544087805.083 * [misc]taylor: Taking taylor expansion of n in n 1544087805.083 * [misc]backup-simplify: Simplify 0 into 0 1544087805.083 * [misc]backup-simplify: Simplify 1 into 1 1544087805.083 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544087805.083 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087805.084 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544087805.085 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544087805.085 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544087805.085 * [misc]backup-simplify: Simplify 0 into 0 1544087805.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.088 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544087805.088 * [misc]backup-simplify: Simplify 0 into 0 1544087805.089 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.091 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544087805.091 * [misc]backup-simplify: Simplify 0 into 0 1544087805.092 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.093 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544087805.093 * [misc]backup-simplify: Simplify 0 into 0 1544087805.094 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087805.096 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544087805.096 * [misc]backup-simplify: Simplify 0 into 0 1544087805.097 * [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 1544087805.099 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544087805.099 * [misc]backup-simplify: Simplify 0 into 0 1544087805.099 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544087805.100 * * * [misc]progress: simplifying candidates 1544087805.100 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1544087805.100 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544087805.100 * * [misc]simplify: iters left: 6 (11 enodes) 1544087805.102 * * [misc]simplify: iters left: 5 (21 enodes) 1544087805.105 * * [misc]simplify: iters left: 4 (47 enodes) 1544087805.114 * * [misc]simplify: iters left: 3 (109 enodes) 1544087805.154 * * [misc]simplify: iters left: 2 (300 enodes) 1544087805.361 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544087805.361 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544087805.361 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1544087805.361 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1544087805.362 * [enter]simplify: Simplifying (* PI (* n 2)) 1544087805.362 * * [misc]simplify: iters left: 4 (5 enodes) 1544087805.364 * * [misc]simplify: iters left: 3 (9 enodes) 1544087805.366 * * [misc]simplify: iters left: 2 (15 enodes) 1544087805.371 * * [misc]simplify: iters left: 1 (17 enodes) 1544087805.375 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544087805.375 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544087805.375 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1544087805.375 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544087805.375 * * [misc]simplify: iters left: 5 (8 enodes) 1544087805.378 * * [misc]simplify: iters left: 4 (12 enodes) 1544087805.381 * * [misc]simplify: iters left: 3 (18 enodes) 1544087805.386 * * [misc]simplify: iters left: 2 (20 enodes) 1544087805.391 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544087805.391 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544087805.392 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1544087805.392 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544087805.392 * * [misc]simplify: iters left: 5 (6 enodes) 1544087805.394 * * [misc]simplify: iters left: 4 (8 enodes) 1544087805.396 * * [misc]simplify: iters left: 3 (11 enodes) 1544087805.399 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544087805.399 * [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))) 1544087805.399 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1544087805.399 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544087805.399 * * [misc]simplify: iters left: 5 (6 enodes) 1544087805.401 * * [misc]simplify: iters left: 4 (8 enodes) 1544087805.403 * * [misc]simplify: iters left: 3 (11 enodes) 1544087805.406 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544087805.406 * [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))) 1544087805.406 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1544087805.406 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544087805.406 * * [misc]simplify: iters left: 4 (5 enodes) 1544087805.408 * * [misc]simplify: iters left: 3 (7 enodes) 1544087805.410 * * [misc]simplify: iters left: 2 (10 enodes) 1544087805.412 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544087805.412 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544087805.413 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1544087805.413 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544087805.413 * * [misc]simplify: iters left: 5 (9 enodes) 1544087805.416 * * [misc]simplify: iters left: 4 (15 enodes) 1544087805.420 * * [misc]simplify: iters left: 3 (21 enodes) 1544087805.426 * * [misc]simplify: iters left: 2 (22 enodes) 1544087805.431 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544087805.431 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544087805.431 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1544087805.431 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544087805.431 * * [misc]simplify: iters left: 5 (9 enodes) 1544087805.437 * * [misc]simplify: iters left: 4 (15 enodes) 1544087805.441 * * [misc]simplify: iters left: 3 (21 enodes) 1544087805.447 * * [misc]simplify: iters left: 2 (22 enodes) 1544087805.452 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544087805.452 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544087805.452 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1544087805.453 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544087805.453 * * [misc]simplify: iters left: 5 (7 enodes) 1544087805.455 * * [misc]simplify: iters left: 4 (9 enodes) 1544087805.457 * * [misc]simplify: iters left: 3 (12 enodes) 1544087805.461 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544087805.461 * [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))) 1544087805.461 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1544087805.461 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1544087805.461 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544087805.462 * * [misc]simplify: iters left: 6 (14 enodes) 1544087805.466 * * [misc]simplify: iters left: 5 (26 enodes) 1544087805.475 * * [misc]simplify: iters left: 4 (53 enodes) 1544087805.495 * * [misc]simplify: iters left: 3 (137 enodes) 1544087805.584 * * [misc]simplify: iters left: 2 (487 enodes) 1544087806.220 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1544087806.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1544087806.220 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1544087806.220 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544087806.221 * * [misc]simplify: iters left: 6 (14 enodes) 1544087806.223 * * [misc]simplify: iters left: 5 (26 enodes) 1544087806.231 * * [misc]simplify: iters left: 4 (53 enodes) 1544087806.251 * * [misc]simplify: iters left: 3 (137 enodes) 1544087806.342 * * [misc]simplify: iters left: 2 (487 enodes) 1544087806.951 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1544087806.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1544087806.952 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1544087806.952 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544087806.952 * * [misc]simplify: iters left: 6 (14 enodes) 1544087806.957 * * [misc]simplify: iters left: 5 (24 enodes) 1544087806.962 * * [misc]simplify: iters left: 4 (42 enodes) 1544087806.968 * * [misc]simplify: iters left: 3 (71 enodes) 1544087806.986 * * [misc]simplify: iters left: 2 (208 enodes) 1544087807.173 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544087807.173 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544087807.173 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1544087807.173 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1544087807.173 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1544087807.174 * [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))) 1544087807.174 * * [misc]simplify: iters left: 6 (16 enodes) 1544087807.179 * * [misc]simplify: iters left: 5 (31 enodes) 1544087807.189 * * [misc]simplify: iters left: 4 (67 enodes) 1544087807.211 * * [misc]simplify: iters left: 3 (124 enodes) 1544087807.257 * * [misc]simplify: iters left: 2 (195 enodes) 1544087807.298 * * [misc]simplify: iters left: 1 (309 enodes) 1544087807.407 * [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)))) 1544087807.407 * [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)))))) 1544087807.407 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1544087807.407 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1544087807.407 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1544087807.407 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1544087807.407 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1544087807.407 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.407 * * [misc]simplify: iters left: 6 (12 enodes) 1544087807.409 * * [misc]simplify: iters left: 5 (19 enodes) 1544087807.412 * * [misc]simplify: iters left: 4 (25 enodes) 1544087807.415 * * [misc]simplify: iters left: 3 (26 enodes) 1544087807.421 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.421 * [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))))) 1544087807.422 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544087807.422 * * [misc]simplify: iters left: 6 (12 enodes) 1544087807.425 * * [misc]simplify: iters left: 5 (18 enodes) 1544087807.430 * * [misc]simplify: iters left: 4 (24 enodes) 1544087807.437 * * [misc]simplify: iters left: 3 (25 enodes) 1544087807.443 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544087807.443 * [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))))) 1544087807.443 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1544087807.444 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544087807.444 * * [misc]simplify: iters left: 6 (11 enodes) 1544087807.447 * * [misc]simplify: iters left: 5 (16 enodes) 1544087807.451 * * [misc]simplify: iters left: 4 (22 enodes) 1544087807.457 * * [misc]simplify: iters left: 3 (24 enodes) 1544087807.463 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544087807.464 * [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))))) 1544087807.464 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544087807.464 * * [misc]simplify: iters left: 6 (12 enodes) 1544087807.468 * * [misc]simplify: iters left: 5 (18 enodes) 1544087807.475 * * [misc]simplify: iters left: 4 (24 enodes) 1544087807.481 * * [misc]simplify: iters left: 3 (25 enodes) 1544087807.488 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544087807.488 * [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))))) 1544087807.488 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1544087807.488 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544087807.488 * * [misc]simplify: iters left: 6 (9 enodes) 1544087807.491 * * [misc]simplify: iters left: 5 (16 enodes) 1544087807.496 * * [misc]simplify: iters left: 4 (24 enodes) 1544087807.502 * * [misc]simplify: iters left: 3 (26 enodes) 1544087807.507 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544087807.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544087807.508 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544087807.508 * * [misc]simplify: iters left: 6 (11 enodes) 1544087807.511 * * [misc]simplify: iters left: 5 (17 enodes) 1544087807.516 * * [misc]simplify: iters left: 4 (23 enodes) 1544087807.523 * * [misc]simplify: iters left: 3 (24 enodes) 1544087807.529 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544087807.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544087807.529 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1544087807.529 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.530 * * [misc]simplify: iters left: 6 (12 enodes) 1544087807.533 * * [misc]simplify: iters left: 5 (19 enodes) 1544087807.539 * * [misc]simplify: iters left: 4 (25 enodes) 1544087807.545 * * [misc]simplify: iters left: 3 (26 enodes) 1544087807.548 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.548 * [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))))) 1544087807.548 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544087807.548 * * [misc]simplify: iters left: 6 (12 enodes) 1544087807.550 * * [misc]simplify: iters left: 5 (18 enodes) 1544087807.553 * * [misc]simplify: iters left: 4 (24 enodes) 1544087807.556 * * [misc]simplify: iters left: 3 (25 enodes) 1544087807.559 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544087807.559 * [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))))) 1544087807.560 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1544087807.560 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544087807.560 * * [misc]simplify: iters left: 6 (11 enodes) 1544087807.561 * * [misc]simplify: iters left: 5 (16 enodes) 1544087807.564 * * [misc]simplify: iters left: 4 (22 enodes) 1544087807.566 * * [misc]simplify: iters left: 3 (24 enodes) 1544087807.569 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544087807.569 * [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))))) 1544087807.570 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544087807.570 * * [misc]simplify: iters left: 6 (12 enodes) 1544087807.572 * * [misc]simplify: iters left: 5 (18 enodes) 1544087807.574 * * [misc]simplify: iters left: 4 (24 enodes) 1544087807.579 * * [misc]simplify: iters left: 3 (25 enodes) 1544087807.585 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544087807.586 * [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))))) 1544087807.586 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1544087807.586 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544087807.586 * * [misc]simplify: iters left: 6 (9 enodes) 1544087807.589 * * [misc]simplify: iters left: 5 (16 enodes) 1544087807.594 * * [misc]simplify: iters left: 4 (24 enodes) 1544087807.601 * * [misc]simplify: iters left: 3 (26 enodes) 1544087807.607 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544087807.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544087807.607 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544087807.607 * * [misc]simplify: iters left: 6 (11 enodes) 1544087807.611 * * [misc]simplify: iters left: 5 (17 enodes) 1544087807.616 * * [misc]simplify: iters left: 4 (23 enodes) 1544087807.622 * * [misc]simplify: iters left: 3 (24 enodes) 1544087807.628 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544087807.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544087807.628 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1544087807.629 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.629 * * [misc]simplify: iters left: 6 (11 enodes) 1544087807.632 * * [misc]simplify: iters left: 5 (15 enodes) 1544087807.637 * * [misc]simplify: iters left: 4 (18 enodes) 1544087807.642 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.642 * [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))))) 1544087807.642 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544087807.642 * * [misc]simplify: iters left: 6 (11 enodes) 1544087807.645 * * [misc]simplify: iters left: 5 (14 enodes) 1544087807.649 * * [misc]simplify: iters left: 4 (17 enodes) 1544087807.654 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544087807.654 * [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))))) 1544087807.654 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1544087807.654 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087807.654 * * [misc]simplify: iters left: 6 (10 enodes) 1544087807.657 * * [misc]simplify: iters left: 5 (12 enodes) 1544087807.661 * * [misc]simplify: iters left: 4 (15 enodes) 1544087807.665 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087807.665 * [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))))) 1544087807.665 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087807.665 * * [misc]simplify: iters left: 6 (11 enodes) 1544087807.669 * * [misc]simplify: iters left: 5 (14 enodes) 1544087807.673 * * [misc]simplify: iters left: 4 (17 enodes) 1544087807.676 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087807.676 * [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))))) 1544087807.676 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1544087807.677 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544087807.677 * * [misc]simplify: iters left: 6 (9 enodes) 1544087807.678 * * [misc]simplify: iters left: 5 (13 enodes) 1544087807.680 * * [misc]simplify: iters left: 4 (18 enodes) 1544087807.682 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544087807.682 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544087807.682 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544087807.682 * * [misc]simplify: iters left: 6 (10 enodes) 1544087807.684 * * [misc]simplify: iters left: 5 (13 enodes) 1544087807.685 * * [misc]simplify: iters left: 4 (16 enodes) 1544087807.687 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544087807.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544087807.688 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1544087807.688 * [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)))) 1544087807.688 * * [misc]simplify: iters left: 6 (16 enodes) 1544087807.690 * * [misc]simplify: iters left: 5 (28 enodes) 1544087807.694 * * [misc]simplify: iters left: 4 (46 enodes) 1544087807.701 * * [misc]simplify: iters left: 3 (50 enodes) 1544087807.710 * * [misc]simplify: iters left: 2 (53 enodes) 1544087807.725 * [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)))) 1544087807.725 * [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))))) 1544087807.725 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544087807.725 * * [misc]simplify: iters left: 6 (14 enodes) 1544087807.730 * * [misc]simplify: iters left: 5 (20 enodes) 1544087807.735 * * [misc]simplify: iters left: 4 (29 enodes) 1544087807.743 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.750 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544087807.750 * [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))))) 1544087807.750 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1544087807.751 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087807.751 * * [misc]simplify: iters left: 6 (15 enodes) 1544087807.755 * * [misc]simplify: iters left: 5 (23 enodes) 1544087807.762 * * [misc]simplify: iters left: 4 (34 enodes) 1544087807.771 * * [misc]simplify: iters left: 3 (37 enodes) 1544087807.778 * [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)))))) 1544087807.778 * [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))))) 1544087807.778 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087807.779 * * [misc]simplify: iters left: 6 (14 enodes) 1544087807.781 * * [misc]simplify: iters left: 5 (20 enodes) 1544087807.783 * * [misc]simplify: iters left: 4 (29 enodes) 1544087807.787 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.791 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087807.791 * [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))))) 1544087807.791 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1544087807.792 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544087807.792 * * [misc]simplify: iters left: 6 (14 enodes) 1544087807.794 * * [misc]simplify: iters left: 5 (24 enodes) 1544087807.798 * * [misc]simplify: iters left: 4 (39 enodes) 1544087807.803 * * [misc]simplify: iters left: 3 (54 enodes) 1544087807.810 * * [misc]simplify: iters left: 2 (80 enodes) 1544087807.820 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544087807.820 * [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)))) 1544087807.820 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544087807.821 * * [misc]simplify: iters left: 6 (13 enodes) 1544087807.822 * * [misc]simplify: iters left: 5 (19 enodes) 1544087807.826 * * [misc]simplify: iters left: 4 (28 enodes) 1544087807.832 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.840 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544087807.840 * [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)))) 1544087807.840 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1544087807.840 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.840 * * [misc]simplify: iters left: 6 (15 enodes) 1544087807.845 * * [misc]simplify: iters left: 5 (23 enodes) 1544087807.851 * * [misc]simplify: iters left: 4 (32 enodes) 1544087807.860 * * [misc]simplify: iters left: 3 (34 enodes) 1544087807.869 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.869 * [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))))) 1544087807.869 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544087807.869 * * [misc]simplify: iters left: 6 (14 enodes) 1544087807.873 * * [misc]simplify: iters left: 5 (20 enodes) 1544087807.880 * * [misc]simplify: iters left: 4 (29 enodes) 1544087807.887 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.895 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544087807.895 * [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))))) 1544087807.895 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1544087807.895 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087807.895 * * [misc]simplify: iters left: 6 (14 enodes) 1544087807.900 * * [misc]simplify: iters left: 5 (20 enodes) 1544087807.904 * * [misc]simplify: iters left: 4 (29 enodes) 1544087807.909 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.912 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087807.912 * [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))))) 1544087807.913 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087807.913 * * [misc]simplify: iters left: 6 (14 enodes) 1544087807.915 * * [misc]simplify: iters left: 5 (20 enodes) 1544087807.918 * * [misc]simplify: iters left: 4 (29 enodes) 1544087807.922 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.925 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087807.925 * [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))))) 1544087807.925 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1544087807.926 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544087807.926 * * [misc]simplify: iters left: 6 (13 enodes) 1544087807.928 * * [misc]simplify: iters left: 5 (21 enodes) 1544087807.931 * * [misc]simplify: iters left: 4 (32 enodes) 1544087807.935 * * [misc]simplify: iters left: 3 (33 enodes) 1544087807.940 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544087807.940 * [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)))) 1544087807.941 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544087807.941 * * [misc]simplify: iters left: 6 (13 enodes) 1544087807.945 * * [misc]simplify: iters left: 5 (19 enodes) 1544087807.950 * * [misc]simplify: iters left: 4 (28 enodes) 1544087807.958 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.965 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544087807.965 * [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)))) 1544087807.965 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1544087807.965 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087807.965 * * [misc]simplify: iters left: 6 (6 enodes) 1544087807.967 * * [misc]simplify: iters left: 5 (10 enodes) 1544087807.970 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544087807.970 * [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))))) 1544087807.970 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544087807.970 * * [misc]simplify: iters left: 6 (13 enodes) 1544087807.974 * * [misc]simplify: iters left: 5 (19 enodes) 1544087807.980 * * [misc]simplify: iters left: 4 (28 enodes) 1544087807.988 * * [misc]simplify: iters left: 3 (30 enodes) 1544087807.995 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544087807.995 * [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))))) 1544087807.995 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1544087807.995 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544087807.996 * * [misc]simplify: iters left: 4 (5 enodes) 1544087807.997 * * [misc]simplify: iters left: 3 (7 enodes) 1544087807.999 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544087807.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544087807.999 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087807.999 * * [misc]simplify: iters left: 6 (13 enodes) 1544087808.003 * * [misc]simplify: iters left: 5 (19 enodes) 1544087808.006 * * [misc]simplify: iters left: 4 (28 enodes) 1544087808.010 * * [misc]simplify: iters left: 3 (30 enodes) 1544087808.013 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087808.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544087808.013 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1544087808.014 * [enter]simplify: Simplifying (/ 1 1) 1544087808.014 * * [misc]simplify: iters left: 2 (2 enodes) 1544087808.014 * * [misc]simplify: iters left: 1 (4 enodes) 1544087808.014 * [exit]simplify: Simplified to 1 1544087808.014 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544087808.014 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544087808.015 * * [misc]simplify: iters left: 6 (12 enodes) 1544087808.016 * * [misc]simplify: iters left: 5 (18 enodes) 1544087808.019 * * [misc]simplify: iters left: 4 (27 enodes) 1544087808.022 * * [misc]simplify: iters left: 3 (29 enodes) 1544087808.026 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544087808.026 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544087808.026 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1544087808.026 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1544087808.026 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1544087808.026 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1544087808.026 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544087808.026 * * [misc]simplify: iters left: 2 (3 enodes) 1544087808.027 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544087808.027 * [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)))) 1544087808.027 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1544087808.027 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544087808.027 * * [misc]simplify: iters left: 2 (3 enodes) 1544087808.027 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544087808.027 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544087808.027 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1544087808.028 * [enter]simplify: Simplifying (sqrt k) 1544087808.028 * * [misc]simplify: iters left: 1 (2 enodes) 1544087808.028 * [exit]simplify: Simplified to (sqrt k) 1544087808.028 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544087808.028 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1544087808.028 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544087808.028 * * [misc]simplify: iters left: 5 (7 enodes) 1544087808.029 * * [misc]simplify: iters left: 4 (12 enodes) 1544087808.031 * * [misc]simplify: iters left: 3 (18 enodes) 1544087808.033 * * [misc]simplify: iters left: 2 (20 enodes) 1544087808.036 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544087808.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544087808.036 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1544087808.036 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544087808.036 * * [misc]simplify: iters left: 5 (7 enodes) 1544087808.037 * * [misc]simplify: iters left: 4 (12 enodes) 1544087808.039 * * [misc]simplify: iters left: 3 (18 enodes) 1544087808.043 * * [misc]simplify: iters left: 2 (20 enodes) 1544087808.048 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544087808.048 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544087808.048 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1544087808.048 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544087808.049 * * [misc]simplify: iters left: 5 (7 enodes) 1544087808.051 * * [misc]simplify: iters left: 4 (9 enodes) 1544087808.053 * * [misc]simplify: iters left: 3 (12 enodes) 1544087808.061 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544087808.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087808.062 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1544087808.062 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544087808.062 * * [misc]simplify: iters left: 6 (12 enodes) 1544087808.066 * * [misc]simplify: iters left: 5 (18 enodes) 1544087808.071 * * [misc]simplify: iters left: 4 (27 enodes) 1544087808.078 * * [misc]simplify: iters left: 3 (29 enodes) 1544087808.086 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544087808.086 * [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))))))) 1544087808.086 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1544087808.086 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544087808.086 * * [misc]simplify: iters left: 6 (11 enodes) 1544087808.090 * * [misc]simplify: iters left: 5 (17 enodes) 1544087808.095 * * [misc]simplify: iters left: 4 (26 enodes) 1544087808.102 * * [misc]simplify: iters left: 3 (27 enodes) 1544087808.108 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544087808.108 * [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))))))) 1544087808.108 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1544087808.108 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1544087808.109 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544087808.109 * * [misc]simplify: iters left: 5 (7 enodes) 1544087808.111 * * [misc]simplify: iters left: 4 (12 enodes) 1544087808.114 * * [misc]simplify: iters left: 3 (18 enodes) 1544087808.119 * * [misc]simplify: iters left: 2 (20 enodes) 1544087808.123 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544087808.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544087808.123 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1544087808.124 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1544087808.124 * [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))))) 1544087808.125 * * [misc]simplify: iters left: 6 (37 enodes) 1544087808.136 * * [misc]simplify: iters left: 5 (105 enodes) 1544087808.174 * * [misc]simplify: iters left: 4 (339 enodes) 1544087808.381 * [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))))) 1544087808.381 * [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))) 1544087808.381 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1544087808.381 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544087808.381 * * [misc]simplify: iters left: 6 (15 enodes) 1544087808.387 * * [misc]simplify: iters left: 5 (33 enodes) 1544087808.397 * * [misc]simplify: iters left: 4 (64 enodes) 1544087808.418 * * [misc]simplify: iters left: 3 (171 enodes) 1544087808.484 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1544087808.484 * [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))) 1544087808.484 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1544087808.484 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544087808.484 * * [misc]simplify: iters left: 6 (15 enodes) 1544087808.487 * * [misc]simplify: iters left: 5 (30 enodes) 1544087808.493 * * [misc]simplify: iters left: 4 (65 enodes) 1544087808.511 * * [misc]simplify: iters left: 3 (200 enodes) 1544087808.670 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1544087808.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1544087808.670 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1544087808.670 * [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)))))))))))))))))))))) 1544087808.670 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087808.670 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1544087808.671 * [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)))))))) 1544087808.671 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087808.671 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1544087808.671 * [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))))))))))) 1544087808.671 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087808.671 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1544087808.671 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544087808.671 * * [misc]simplify: iters left: 4 (5 enodes) 1544087808.673 * * [misc]simplify: iters left: 3 (9 enodes) 1544087808.675 * * [misc]simplify: iters left: 2 (15 enodes) 1544087808.679 * * [misc]simplify: iters left: 1 (17 enodes) 1544087808.683 * [exit]simplify: Simplified to (* (* PI n) 2) 1544087808.683 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544087808.683 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1544087808.684 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544087808.684 * * [misc]simplify: iters left: 4 (5 enodes) 1544087808.685 * * [misc]simplify: iters left: 3 (9 enodes) 1544087808.688 * * [misc]simplify: iters left: 2 (15 enodes) 1544087808.692 * * [misc]simplify: iters left: 1 (17 enodes) 1544087808.695 * [exit]simplify: Simplified to (* (* PI n) 2) 1544087808.695 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544087808.695 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1544087808.696 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544087808.696 * * [misc]simplify: iters left: 4 (5 enodes) 1544087808.697 * * [misc]simplify: iters left: 3 (9 enodes) 1544087808.698 * * [misc]simplify: iters left: 2 (15 enodes) 1544087808.700 * * [misc]simplify: iters left: 1 (17 enodes) 1544087808.702 * [exit]simplify: Simplified to (* (* PI n) 2) 1544087808.702 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544087808.702 * * * [misc]progress: adding candidates to table 1544087809.677 * * [misc]progress: iteration 2 / 4 1544087809.677 * * * [misc]progress: picking best candidate 1544087809.757 * * * * [misc]pick: Picked # 1544087809.757 * * * [misc]progress: localizing error 1544087809.785 * * * [misc]progress: generating rewritten candidates 1544087809.785 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1544087809.787 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1544087809.810 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1544087809.822 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1544087809.832 * * * [misc]progress: generating series expansions 1544087809.832 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1544087809.832 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544087809.832 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544087809.833 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087809.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087809.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087809.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087809.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.833 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087809.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.833 * [misc]taylor: Taking taylor expansion of k in k 1544087809.833 * [misc]backup-simplify: Simplify 0 into 0 1544087809.833 * [misc]backup-simplify: Simplify 1 into 1 1544087809.833 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.833 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.833 * [misc]backup-simplify: Simplify PI into PI 1544087809.834 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.834 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087809.834 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.834 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.835 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087809.835 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087809.835 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087809.835 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087809.835 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087809.835 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087809.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.835 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087809.836 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.836 * [misc]taylor: Taking taylor expansion of k in k 1544087809.836 * [misc]backup-simplify: Simplify 0 into 0 1544087809.836 * [misc]backup-simplify: Simplify 1 into 1 1544087809.836 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.836 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.836 * [misc]backup-simplify: Simplify PI into PI 1544087809.836 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.836 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087809.836 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.836 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.837 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087809.838 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087809.838 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544087809.840 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087809.840 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087809.840 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087809.840 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087809.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544087809.843 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544087809.843 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544087809.846 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087809.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087809.846 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.846 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544087809.850 * [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))) 1544087809.850 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544087809.852 * [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)))) 1544087809.852 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087809.852 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544087809.852 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087809.852 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087809.852 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087809.852 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087809.852 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.852 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087809.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.853 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087809.853 * [misc]taylor: Taking taylor expansion of k in k 1544087809.853 * [misc]backup-simplify: Simplify 0 into 0 1544087809.853 * [misc]backup-simplify: Simplify 1 into 1 1544087809.853 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087809.853 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.853 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.853 * [misc]backup-simplify: Simplify PI into PI 1544087809.853 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.853 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087809.853 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087809.853 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087809.854 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087809.854 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087809.854 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087809.854 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087809.854 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087809.854 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087809.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.854 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087809.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087809.854 * [misc]taylor: Taking taylor expansion of k in k 1544087809.854 * [misc]backup-simplify: Simplify 0 into 0 1544087809.854 * [misc]backup-simplify: Simplify 1 into 1 1544087809.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087809.854 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.854 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.854 * [misc]backup-simplify: Simplify PI into PI 1544087809.854 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.854 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087809.855 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087809.855 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087809.855 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087809.855 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087809.855 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087809.855 * [misc]backup-simplify: Simplify 0 into 0 1544087809.855 * [misc]backup-simplify: Simplify 0 into 0 1544087809.855 * [misc]backup-simplify: Simplify 0 into 0 1544087809.855 * [misc]backup-simplify: Simplify 0 into 0 1544087809.855 * [misc]backup-simplify: Simplify 0 into 0 1544087809.855 * [misc]backup-simplify: Simplify 0 into 0 1544087809.856 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544087809.856 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087809.856 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544087809.856 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087809.856 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087809.856 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087809.856 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087809.856 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087809.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.856 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087809.856 * [misc]taylor: Taking taylor expansion of k in k 1544087809.856 * [misc]backup-simplify: Simplify 0 into 0 1544087809.856 * [misc]backup-simplify: Simplify 1 into 1 1544087809.856 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087809.856 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.856 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.856 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.856 * [misc]backup-simplify: Simplify PI into PI 1544087809.856 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.856 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087809.856 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.857 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087809.857 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087809.857 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087809.857 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087809.857 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087809.857 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087809.857 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087809.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.857 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087809.857 * [misc]taylor: Taking taylor expansion of k in k 1544087809.857 * [misc]backup-simplify: Simplify 0 into 0 1544087809.857 * [misc]backup-simplify: Simplify 1 into 1 1544087809.857 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087809.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.857 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.857 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.857 * [misc]backup-simplify: Simplify PI into PI 1544087809.858 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.858 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087809.858 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.858 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087809.858 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087809.858 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087809.859 * [misc]backup-simplify: Simplify 0 into 0 1544087809.859 * [misc]backup-simplify: Simplify 0 into 0 1544087809.859 * [misc]backup-simplify: Simplify 0 into 0 1544087809.859 * [misc]backup-simplify: Simplify 0 into 0 1544087809.859 * [misc]backup-simplify: Simplify 0 into 0 1544087809.859 * [misc]backup-simplify: Simplify 0 into 0 1544087809.859 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544087809.859 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1544087809.859 * [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))) 1544087809.859 * [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 1544087809.859 * [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 1544087809.859 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087809.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.859 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087809.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.859 * [misc]taylor: Taking taylor expansion of k in n 1544087809.859 * [misc]backup-simplify: Simplify k into k 1544087809.859 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087809.859 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.859 * [misc]backup-simplify: Simplify 2 into 2 1544087809.859 * [misc]taylor: Taking taylor expansion of n in n 1544087809.859 * [misc]backup-simplify: Simplify 0 into 0 1544087809.859 * [misc]backup-simplify: Simplify 1 into 1 1544087809.859 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087809.860 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087809.860 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087809.860 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087809.860 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087809.860 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087809.860 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087809.860 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087809.860 * [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)))) 1544087809.861 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544087809.861 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544087809.861 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544087809.861 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087809.861 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087809.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.861 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087809.861 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087809.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.861 * [misc]taylor: Taking taylor expansion of k in n 1544087809.861 * [misc]backup-simplify: Simplify k into k 1544087809.861 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087809.861 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.861 * [misc]backup-simplify: Simplify PI into PI 1544087809.861 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.861 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087809.861 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087809.861 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087809.861 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544087809.862 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544087809.862 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544087809.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087809.862 * [misc]taylor: Taking taylor expansion of k in n 1544087809.862 * [misc]backup-simplify: Simplify k into k 1544087809.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087809.862 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544087809.862 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087809.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544087809.862 * [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 1544087809.862 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.862 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.862 * [misc]taylor: Taking taylor expansion of k in k 1544087809.862 * [misc]backup-simplify: Simplify 0 into 0 1544087809.862 * [misc]backup-simplify: Simplify 1 into 1 1544087809.862 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087809.862 * [misc]taylor: Taking taylor expansion of 2 in k 1544087809.862 * [misc]backup-simplify: Simplify 2 into 2 1544087809.862 * [misc]taylor: Taking taylor expansion of n in k 1544087809.862 * [misc]backup-simplify: Simplify n into n 1544087809.862 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087809.862 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087809.862 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087809.862 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.863 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.863 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087809.863 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087809.863 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087809.863 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087809.863 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087809.863 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087809.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.863 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087809.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.863 * [misc]taylor: Taking taylor expansion of k in k 1544087809.863 * [misc]backup-simplify: Simplify 0 into 0 1544087809.863 * [misc]backup-simplify: Simplify 1 into 1 1544087809.863 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.863 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.863 * [misc]backup-simplify: Simplify PI into PI 1544087809.863 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.863 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087809.863 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.863 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.864 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087809.864 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087809.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087809.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087809.864 * [misc]taylor: Taking taylor expansion of k in k 1544087809.864 * [misc]backup-simplify: Simplify 0 into 0 1544087809.864 * [misc]backup-simplify: Simplify 1 into 1 1544087809.864 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087809.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.865 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087809.865 * [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 1544087809.865 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.865 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.865 * [misc]taylor: Taking taylor expansion of k in k 1544087809.865 * [misc]backup-simplify: Simplify 0 into 0 1544087809.865 * [misc]backup-simplify: Simplify 1 into 1 1544087809.865 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087809.865 * [misc]taylor: Taking taylor expansion of 2 in k 1544087809.865 * [misc]backup-simplify: Simplify 2 into 2 1544087809.865 * [misc]taylor: Taking taylor expansion of n in k 1544087809.865 * [misc]backup-simplify: Simplify n into n 1544087809.865 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087809.865 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087809.865 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087809.865 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.865 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.865 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087809.866 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087809.866 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087809.866 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087809.866 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087809.866 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087809.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.866 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087809.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087809.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087809.866 * [misc]taylor: Taking taylor expansion of k in k 1544087809.866 * [misc]backup-simplify: Simplify 0 into 0 1544087809.866 * [misc]backup-simplify: Simplify 1 into 1 1544087809.866 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087809.866 * [misc]taylor: Taking taylor expansion of PI in k 1544087809.866 * [misc]backup-simplify: Simplify PI into PI 1544087809.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.866 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087809.866 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.866 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087809.867 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087809.867 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087809.867 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087809.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087809.867 * [misc]taylor: Taking taylor expansion of k in k 1544087809.867 * [misc]backup-simplify: Simplify 0 into 0 1544087809.867 * [misc]backup-simplify: Simplify 1 into 1 1544087809.867 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087809.867 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.868 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087809.868 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544087809.868 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544087809.868 * [misc]taylor: Taking taylor expansion of 0 in n 1544087809.868 * [misc]backup-simplify: Simplify 0 into 0 1544087809.868 * [misc]backup-simplify: Simplify 0 into 0 1544087809.869 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087809.870 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087809.870 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087809.870 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087809.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544087809.872 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544087809.872 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087809.873 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087809.873 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087809.873 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087809.873 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087809.873 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087809.874 * [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)))) 1544087809.875 * [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)))))) 1544087809.875 * [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))))) 1544087809.875 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544087809.875 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544087809.876 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.876 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.876 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544087809.876 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.876 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.876 * [misc]backup-simplify: Simplify 2 into 2 1544087809.876 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.876 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.876 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087809.876 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087809.876 * [misc]taylor: Taking taylor expansion of n in n 1544087809.876 * [misc]backup-simplify: Simplify 0 into 0 1544087809.876 * [misc]backup-simplify: Simplify 1 into 1 1544087809.876 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.876 * [misc]backup-simplify: Simplify PI into PI 1544087809.876 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087809.876 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087809.877 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.877 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.877 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087809.877 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.877 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.877 * [misc]backup-simplify: Simplify 0 into 0 1544087809.877 * [misc]backup-simplify: Simplify 0 into 0 1544087809.877 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087809.878 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087809.881 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087809.882 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087809.882 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.882 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.883 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544087809.888 * [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))) 1544087809.888 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544087809.889 * [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 1544087809.890 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087809.890 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.890 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544087809.891 * [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))) 1544087809.895 * [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))))))) 1544087809.899 * [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))))))))) 1544087809.899 * [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 1544087809.899 * [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 1544087809.899 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544087809.899 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.899 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.899 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544087809.899 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544087809.899 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.899 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.899 * [misc]backup-simplify: Simplify 2 into 2 1544087809.900 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.900 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.900 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087809.900 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.900 * [misc]backup-simplify: Simplify PI into PI 1544087809.900 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.901 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087809.901 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087809.901 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.901 * [misc]backup-simplify: Simplify PI into PI 1544087809.901 * [misc]taylor: Taking taylor expansion of n in n 1544087809.901 * [misc]backup-simplify: Simplify 0 into 0 1544087809.901 * [misc]backup-simplify: Simplify 1 into 1 1544087809.901 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087809.902 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087809.903 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.903 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.903 * [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 1544087809.903 * [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 1544087809.903 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544087809.903 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.903 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.903 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544087809.903 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.903 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.903 * [misc]backup-simplify: Simplify 2 into 2 1544087809.904 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.904 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.904 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087809.904 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087809.904 * [misc]taylor: Taking taylor expansion of n in n 1544087809.904 * [misc]backup-simplify: Simplify 0 into 0 1544087809.904 * [misc]backup-simplify: Simplify 1 into 1 1544087809.904 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.904 * [misc]backup-simplify: Simplify PI into PI 1544087809.904 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087809.905 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087809.905 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.906 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.906 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544087809.906 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544087809.906 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.906 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.906 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544087809.906 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544087809.906 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.906 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.906 * [misc]backup-simplify: Simplify 2 into 2 1544087809.906 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.906 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.906 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087809.906 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087809.906 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.906 * [misc]backup-simplify: Simplify 2 into 2 1544087809.906 * [misc]taylor: Taking taylor expansion of n in n 1544087809.906 * [misc]backup-simplify: Simplify 0 into 0 1544087809.907 * [misc]backup-simplify: Simplify 1 into 1 1544087809.907 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087809.907 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087809.907 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087809.907 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087809.907 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087809.907 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.907 * [misc]backup-simplify: Simplify PI into PI 1544087809.907 * [misc]taylor: Taking taylor expansion of n in n 1544087809.907 * [misc]backup-simplify: Simplify 0 into 0 1544087809.907 * [misc]backup-simplify: Simplify 1 into 1 1544087809.908 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087809.908 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087809.908 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.909 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.909 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544087809.910 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544087809.911 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.911 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087809.911 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.911 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087809.912 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544087809.912 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544087809.912 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.912 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.913 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.913 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.913 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.913 * [misc]backup-simplify: Simplify 0 into 0 1544087809.914 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087809.916 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087809.917 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087809.918 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087809.918 * [misc]backup-simplify: Simplify 0 into 0 1544087809.918 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087809.920 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087809.927 * [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 1544087809.927 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087809.927 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.927 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544087809.936 * [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))) 1544087809.937 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544087809.939 * [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 1544087809.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087809.940 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.940 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544087809.942 * [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))) 1544087809.948 * [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))))))))) 1544087809.956 * [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))))))))))))))) 1544087809.956 * [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 1544087809.957 * [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 1544087809.957 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544087809.957 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.957 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.957 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544087809.957 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544087809.957 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.957 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.957 * [misc]backup-simplify: Simplify 2 into 2 1544087809.957 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.957 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.957 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087809.957 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.957 * [misc]backup-simplify: Simplify PI into PI 1544087809.958 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.958 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087809.958 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087809.958 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.958 * [misc]backup-simplify: Simplify PI into PI 1544087809.958 * [misc]taylor: Taking taylor expansion of n in n 1544087809.958 * [misc]backup-simplify: Simplify 0 into 0 1544087809.958 * [misc]backup-simplify: Simplify 1 into 1 1544087809.958 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087809.959 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087809.959 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.959 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.959 * [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 1544087809.959 * [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 1544087809.959 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544087809.959 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.959 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.959 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544087809.959 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544087809.959 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.959 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.959 * [misc]backup-simplify: Simplify 2 into 2 1544087809.960 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.960 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.960 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544087809.960 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087809.960 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.960 * [misc]backup-simplify: Simplify PI into PI 1544087809.960 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.960 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087809.960 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087809.960 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.960 * [misc]backup-simplify: Simplify PI into PI 1544087809.960 * [misc]taylor: Taking taylor expansion of n in n 1544087809.960 * [misc]backup-simplify: Simplify 0 into 0 1544087809.960 * [misc]backup-simplify: Simplify 1 into 1 1544087809.961 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087809.961 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087809.961 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.962 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.962 * [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 1544087809.962 * [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 1544087809.962 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544087809.962 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.962 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.962 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544087809.962 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544087809.962 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.962 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.962 * [misc]backup-simplify: Simplify 2 into 2 1544087809.962 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.963 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.963 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544087809.963 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087809.963 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087809.963 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.963 * [misc]backup-simplify: Simplify 2 into 2 1544087809.963 * [misc]taylor: Taking taylor expansion of n in n 1544087809.963 * [misc]backup-simplify: Simplify 0 into 0 1544087809.963 * [misc]backup-simplify: Simplify 1 into 1 1544087809.963 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087809.963 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087809.963 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087809.964 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087809.964 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087809.964 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087809.964 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.964 * [misc]backup-simplify: Simplify PI into PI 1544087809.964 * [misc]taylor: Taking taylor expansion of n in n 1544087809.964 * [misc]backup-simplify: Simplify 0 into 0 1544087809.964 * [misc]backup-simplify: Simplify 1 into 1 1544087809.964 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087809.965 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087809.965 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.966 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.966 * [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 1544087809.966 * [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 1544087809.966 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544087809.966 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.966 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.966 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544087809.966 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544087809.966 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.966 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.966 * [misc]backup-simplify: Simplify 2 into 2 1544087809.966 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.966 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.966 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544087809.966 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087809.966 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087809.966 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.966 * [misc]backup-simplify: Simplify 2 into 2 1544087809.966 * [misc]taylor: Taking taylor expansion of n in n 1544087809.966 * [misc]backup-simplify: Simplify 0 into 0 1544087809.967 * [misc]backup-simplify: Simplify 1 into 1 1544087809.967 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087809.967 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087809.967 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087809.967 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087809.967 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.967 * [misc]backup-simplify: Simplify PI into PI 1544087809.967 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087809.967 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087809.967 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087809.967 * [misc]taylor: Taking taylor expansion of n in n 1544087809.967 * [misc]backup-simplify: Simplify 0 into 0 1544087809.968 * [misc]backup-simplify: Simplify 1 into 1 1544087809.968 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.968 * [misc]backup-simplify: Simplify PI into PI 1544087809.968 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087809.968 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087809.969 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.969 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.969 * [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 1544087809.969 * [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 1544087809.969 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544087809.969 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.969 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.969 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544087809.969 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.969 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.969 * [misc]backup-simplify: Simplify 2 into 2 1544087809.969 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.970 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.970 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087809.970 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087809.970 * [misc]taylor: Taking taylor expansion of n in n 1544087809.970 * [misc]backup-simplify: Simplify 0 into 0 1544087809.970 * [misc]backup-simplify: Simplify 1 into 1 1544087809.970 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.970 * [misc]backup-simplify: Simplify PI into PI 1544087809.970 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087809.972 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087809.972 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.973 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.973 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544087809.973 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544087809.973 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087809.973 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087809.973 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544087809.973 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544087809.973 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087809.973 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.973 * [misc]backup-simplify: Simplify 2 into 2 1544087809.973 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087809.973 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087809.973 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087809.973 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087809.973 * [misc]taylor: Taking taylor expansion of 2 in n 1544087809.973 * [misc]backup-simplify: Simplify 2 into 2 1544087809.973 * [misc]taylor: Taking taylor expansion of n in n 1544087809.973 * [misc]backup-simplify: Simplify 0 into 0 1544087809.973 * [misc]backup-simplify: Simplify 1 into 1 1544087809.974 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087809.974 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087809.974 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087809.974 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087809.974 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087809.974 * [misc]taylor: Taking taylor expansion of PI in n 1544087809.974 * [misc]backup-simplify: Simplify PI into PI 1544087809.974 * [misc]taylor: Taking taylor expansion of n in n 1544087809.974 * [misc]backup-simplify: Simplify 0 into 0 1544087809.974 * [misc]backup-simplify: Simplify 1 into 1 1544087809.974 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087809.975 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087809.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087809.976 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087809.976 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544087809.977 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544087809.977 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.978 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544087809.979 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544087809.980 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544087809.980 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.981 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087809.981 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087809.981 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544087809.982 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544087809.982 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544087809.982 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.983 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087809.983 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544087809.984 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544087809.984 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544087809.984 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.985 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087809.985 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.985 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087809.985 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544087809.986 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544087809.986 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087809.986 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.986 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.987 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.987 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.987 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087809.988 * [misc]backup-simplify: Simplify (- 0) into 0 1544087809.988 * [misc]backup-simplify: Simplify 0 into 0 1544087809.990 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087809.991 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544087809.993 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544087809.995 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544087809.996 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087809.998 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087809.998 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087810.000 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087810.001 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.001 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544087810.002 * [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)))))) 1544087810.004 * [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)))))) 1544087810.006 * [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)))))) 1544087810.009 * [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))))))) 1544087810.012 * [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))))))) 1544087810.017 * [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))))))))) 1544087810.024 * [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))))))))) 1544087810.030 * [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))))))))) 1544087810.032 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544087810.033 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544087810.035 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087810.037 * [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)))) 1544087810.041 * [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)))) 1544087810.043 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544087810.044 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544087810.054 * [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))))))))))))))) 1544087810.054 * [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)) 1544087810.055 * [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 1544087810.055 * [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 1544087810.055 * [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 1544087810.055 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.055 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087810.055 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087810.055 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.055 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.055 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.055 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.055 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.055 * [misc]taylor: Taking taylor expansion of k in n 1544087810.055 * [misc]backup-simplify: Simplify k into k 1544087810.055 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.055 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.055 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.055 * [misc]backup-simplify: Simplify PI into PI 1544087810.056 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.056 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.056 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.056 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.056 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087810.057 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.057 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of k in n 1544087810.057 * [misc]backup-simplify: Simplify k into k 1544087810.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.057 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.057 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.057 * [misc]backup-simplify: Simplify 2 into 2 1544087810.057 * [misc]taylor: Taking taylor expansion of n in n 1544087810.057 * [misc]backup-simplify: Simplify 0 into 0 1544087810.057 * [misc]backup-simplify: Simplify 1 into 1 1544087810.058 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.058 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.058 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.058 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.058 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.058 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.059 * [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))) 1544087810.059 * [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)))) 1544087810.059 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544087810.059 * [misc]taylor: Taking taylor expansion of k in n 1544087810.059 * [misc]backup-simplify: Simplify k into k 1544087810.059 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544087810.059 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544087810.059 * [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 1544087810.059 * [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 1544087810.059 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087810.059 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087810.059 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087810.059 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.060 * [misc]taylor: Taking taylor expansion of k in k 1544087810.060 * [misc]backup-simplify: Simplify 0 into 0 1544087810.060 * [misc]backup-simplify: Simplify 1 into 1 1544087810.060 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.060 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087810.060 * [misc]taylor: Taking taylor expansion of PI in k 1544087810.060 * [misc]backup-simplify: Simplify PI into PI 1544087810.061 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.061 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.061 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.061 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.062 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087810.062 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.062 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087810.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087810.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087810.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.063 * [misc]taylor: Taking taylor expansion of k in k 1544087810.063 * [misc]backup-simplify: Simplify 0 into 0 1544087810.063 * [misc]backup-simplify: Simplify 1 into 1 1544087810.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.063 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087810.063 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087810.063 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.063 * [misc]backup-simplify: Simplify 2 into 2 1544087810.063 * [misc]taylor: Taking taylor expansion of n in k 1544087810.063 * [misc]backup-simplify: Simplify n into n 1544087810.063 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087810.063 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087810.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.064 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.064 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.064 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087810.064 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.064 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087810.064 * [misc]taylor: Taking taylor expansion of k in k 1544087810.064 * [misc]backup-simplify: Simplify 0 into 0 1544087810.064 * [misc]backup-simplify: Simplify 1 into 1 1544087810.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.065 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.065 * [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 1544087810.065 * [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 1544087810.065 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087810.065 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087810.065 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087810.065 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.065 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.065 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.066 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.066 * [misc]taylor: Taking taylor expansion of k in k 1544087810.066 * [misc]backup-simplify: Simplify 0 into 0 1544087810.066 * [misc]backup-simplify: Simplify 1 into 1 1544087810.066 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.066 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087810.066 * [misc]taylor: Taking taylor expansion of PI in k 1544087810.066 * [misc]backup-simplify: Simplify PI into PI 1544087810.066 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.066 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.067 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.067 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.067 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087810.068 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.068 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of k in k 1544087810.068 * [misc]backup-simplify: Simplify 0 into 0 1544087810.068 * [misc]backup-simplify: Simplify 1 into 1 1544087810.068 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.068 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087810.068 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.068 * [misc]backup-simplify: Simplify 2 into 2 1544087810.068 * [misc]taylor: Taking taylor expansion of n in k 1544087810.068 * [misc]backup-simplify: Simplify n into n 1544087810.069 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087810.069 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087810.069 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.069 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.069 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.069 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087810.069 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.069 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087810.069 * [misc]taylor: Taking taylor expansion of k in k 1544087810.069 * [misc]backup-simplify: Simplify 0 into 0 1544087810.069 * [misc]backup-simplify: Simplify 1 into 1 1544087810.070 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.070 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.070 * [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))))) 1544087810.071 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544087810.071 * [misc]taylor: Taking taylor expansion of 0 in n 1544087810.071 * [misc]backup-simplify: Simplify 0 into 0 1544087810.071 * [misc]backup-simplify: Simplify 0 into 0 1544087810.071 * [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 1544087810.072 * [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))))))) 1544087810.072 * [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 1544087810.072 * [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 1544087810.072 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.072 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.072 * [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 1544087810.072 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087810.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087810.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.072 * [misc]taylor: Taking taylor expansion of k in n 1544087810.072 * [misc]backup-simplify: Simplify k into k 1544087810.072 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.072 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.072 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.072 * [misc]backup-simplify: Simplify PI into PI 1544087810.073 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.073 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.073 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.073 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087810.074 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.074 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of k in n 1544087810.074 * [misc]backup-simplify: Simplify k into k 1544087810.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.074 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.074 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.074 * [misc]backup-simplify: Simplify 2 into 2 1544087810.074 * [misc]taylor: Taking taylor expansion of n in n 1544087810.074 * [misc]backup-simplify: Simplify 0 into 0 1544087810.074 * [misc]backup-simplify: Simplify 1 into 1 1544087810.075 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.075 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.075 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.075 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.075 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.075 * [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))) 1544087810.076 * [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)))) 1544087810.076 * [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))))) 1544087810.076 * [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)))))) 1544087810.077 * [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))))))) 1544087810.077 * [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))))))) 1544087810.077 * [misc]backup-simplify: Simplify 0 into 0 1544087810.078 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087810.078 * [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 1544087810.078 * [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))))))) 1544087810.078 * [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 1544087810.078 * [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 1544087810.078 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.078 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.078 * [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 1544087810.078 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.078 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087810.078 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087810.078 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.078 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.078 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.078 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.079 * [misc]taylor: Taking taylor expansion of k in n 1544087810.079 * [misc]backup-simplify: Simplify k into k 1544087810.079 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.079 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.079 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.079 * [misc]backup-simplify: Simplify PI into PI 1544087810.079 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.079 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.079 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.079 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.079 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087810.079 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.079 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.079 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.079 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.079 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.080 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.080 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.080 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.080 * [misc]taylor: Taking taylor expansion of k in n 1544087810.080 * [misc]backup-simplify: Simplify k into k 1544087810.080 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.080 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.080 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.080 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.080 * [misc]backup-simplify: Simplify 2 into 2 1544087810.080 * [misc]taylor: Taking taylor expansion of n in n 1544087810.080 * [misc]backup-simplify: Simplify 0 into 0 1544087810.080 * [misc]backup-simplify: Simplify 1 into 1 1544087810.080 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.080 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.080 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.080 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.080 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.080 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.081 * [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))) 1544087810.081 * [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)))) 1544087810.081 * [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))))) 1544087810.081 * [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)))))) 1544087810.082 * [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))))))) 1544087810.082 * [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))))))) 1544087810.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087810.084 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087810.084 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.084 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.084 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544087810.085 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.087 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087810.087 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.087 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.087 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.087 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.087 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544087810.088 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.089 * [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 1544087810.089 * [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 1544087810.089 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.089 * [misc]backup-simplify: Simplify 0 into 0 1544087810.089 * [misc]backup-simplify: Simplify 0 into 0 1544087810.090 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087810.090 * [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 1544087810.090 * [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))))))) 1544087810.091 * [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 1544087810.091 * [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 1544087810.091 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.091 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.091 * [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 1544087810.091 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.091 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087810.091 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087810.091 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.091 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.091 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.091 * [misc]taylor: Taking taylor expansion of k in n 1544087810.091 * [misc]backup-simplify: Simplify k into k 1544087810.091 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.091 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.091 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.091 * [misc]backup-simplify: Simplify PI into PI 1544087810.091 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.091 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.091 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.091 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.092 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087810.092 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.092 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.092 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of k in n 1544087810.092 * [misc]backup-simplify: Simplify k into k 1544087810.092 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.092 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.092 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.092 * [misc]backup-simplify: Simplify 2 into 2 1544087810.092 * [misc]taylor: Taking taylor expansion of n in n 1544087810.092 * [misc]backup-simplify: Simplify 0 into 0 1544087810.092 * [misc]backup-simplify: Simplify 1 into 1 1544087810.092 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.092 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.092 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.092 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.093 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.093 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.093 * [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))) 1544087810.093 * [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)))) 1544087810.094 * [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))))) 1544087810.094 * [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)))))) 1544087810.094 * [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))))))) 1544087810.094 * [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))))))) 1544087810.096 * [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)))))))) 1544087810.096 * [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))) 1544087810.096 * [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 1544087810.096 * [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 1544087810.096 * [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 1544087810.096 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.096 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of k in n 1544087810.096 * [misc]backup-simplify: Simplify k into k 1544087810.096 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.096 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.096 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.096 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.096 * [misc]backup-simplify: Simplify -2 into -2 1544087810.096 * [misc]taylor: Taking taylor expansion of n in n 1544087810.096 * [misc]backup-simplify: Simplify 0 into 0 1544087810.096 * [misc]backup-simplify: Simplify 1 into 1 1544087810.097 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.097 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.097 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.097 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.097 * [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))) 1544087810.097 * [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)))) 1544087810.097 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.098 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087810.098 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087810.098 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.098 * [misc]taylor: Taking taylor expansion of k in n 1544087810.098 * [misc]backup-simplify: Simplify k into k 1544087810.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.098 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.098 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.098 * [misc]backup-simplify: Simplify PI into PI 1544087810.098 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.098 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.098 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087810.098 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.099 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087810.099 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087810.099 * [misc]taylor: Taking taylor expansion of -1 in n 1544087810.099 * [misc]backup-simplify: Simplify -1 into -1 1544087810.099 * [misc]taylor: Taking taylor expansion of k in n 1544087810.099 * [misc]backup-simplify: Simplify k into k 1544087810.099 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087810.099 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087810.099 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087810.099 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087810.099 * [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))) 1544087810.099 * [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))) 1544087810.099 * [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 1544087810.099 * [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 1544087810.099 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087810.099 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of k in k 1544087810.100 * [misc]backup-simplify: Simplify 0 into 0 1544087810.100 * [misc]backup-simplify: Simplify 1 into 1 1544087810.100 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.100 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.100 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of -2 in k 1544087810.100 * [misc]backup-simplify: Simplify -2 into -2 1544087810.100 * [misc]taylor: Taking taylor expansion of n in k 1544087810.100 * [misc]backup-simplify: Simplify n into n 1544087810.100 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087810.100 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087810.100 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.100 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.100 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087810.100 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.100 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.100 * [misc]taylor: Taking taylor expansion of k in k 1544087810.100 * [misc]backup-simplify: Simplify 0 into 0 1544087810.101 * [misc]backup-simplify: Simplify 1 into 1 1544087810.101 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.101 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087810.101 * [misc]taylor: Taking taylor expansion of PI in k 1544087810.101 * [misc]backup-simplify: Simplify PI into PI 1544087810.101 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.101 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.101 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.101 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087810.102 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.102 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087810.102 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087810.102 * [misc]taylor: Taking taylor expansion of -1 in k 1544087810.102 * [misc]backup-simplify: Simplify -1 into -1 1544087810.102 * [misc]taylor: Taking taylor expansion of k in k 1544087810.102 * [misc]backup-simplify: Simplify 0 into 0 1544087810.102 * [misc]backup-simplify: Simplify 1 into 1 1544087810.102 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087810.102 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.102 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087810.102 * [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))) 1544087810.103 * [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)))) 1544087810.103 * [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 1544087810.103 * [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 1544087810.103 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.103 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of k in k 1544087810.103 * [misc]backup-simplify: Simplify 0 into 0 1544087810.103 * [misc]backup-simplify: Simplify 1 into 1 1544087810.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.103 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087810.103 * [misc]taylor: Taking taylor expansion of -2 in k 1544087810.103 * [misc]backup-simplify: Simplify -2 into -2 1544087810.103 * [misc]taylor: Taking taylor expansion of n in k 1544087810.103 * [misc]backup-simplify: Simplify n into n 1544087810.103 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087810.103 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087810.103 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.103 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.103 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087810.103 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.103 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087810.104 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087810.104 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087810.104 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.104 * [misc]taylor: Taking taylor expansion of k in k 1544087810.104 * [misc]backup-simplify: Simplify 0 into 0 1544087810.104 * [misc]backup-simplify: Simplify 1 into 1 1544087810.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.104 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087810.104 * [misc]taylor: Taking taylor expansion of PI in k 1544087810.104 * [misc]backup-simplify: Simplify PI into PI 1544087810.104 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.104 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.104 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.104 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087810.105 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.105 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087810.105 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087810.105 * [misc]taylor: Taking taylor expansion of -1 in k 1544087810.105 * [misc]backup-simplify: Simplify -1 into -1 1544087810.105 * [misc]taylor: Taking taylor expansion of k in k 1544087810.105 * [misc]backup-simplify: Simplify 0 into 0 1544087810.105 * [misc]backup-simplify: Simplify 1 into 1 1544087810.105 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087810.105 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.105 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087810.105 * [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))) 1544087810.106 * [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)))) 1544087810.106 * [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 1544087810.106 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.106 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.106 * [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 1544087810.106 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.106 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of k in n 1544087810.106 * [misc]backup-simplify: Simplify k into k 1544087810.106 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.106 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.106 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.106 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.106 * [misc]backup-simplify: Simplify -2 into -2 1544087810.106 * [misc]taylor: Taking taylor expansion of n in n 1544087810.106 * [misc]backup-simplify: Simplify 0 into 0 1544087810.106 * [misc]backup-simplify: Simplify 1 into 1 1544087810.106 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.106 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.106 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.106 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.107 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.107 * [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))) 1544087810.107 * [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)))) 1544087810.107 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.107 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087810.107 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087810.107 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.107 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.107 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.107 * [misc]taylor: Taking taylor expansion of k in n 1544087810.107 * [misc]backup-simplify: Simplify k into k 1544087810.107 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.107 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.107 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.107 * [misc]backup-simplify: Simplify PI into PI 1544087810.108 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.108 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.108 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.108 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087810.108 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.108 * [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))) 1544087810.109 * [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)))) 1544087810.109 * [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)))) 1544087810.110 * [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 1544087810.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087810.111 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087810.111 * [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))))) 1544087810.111 * [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 1544087810.111 * [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 1544087810.111 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.111 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.111 * [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 1544087810.111 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.111 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.111 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.111 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.111 * [misc]taylor: Taking taylor expansion of k in n 1544087810.111 * [misc]backup-simplify: Simplify k into k 1544087810.112 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.112 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.112 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.112 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.112 * [misc]backup-simplify: Simplify -2 into -2 1544087810.112 * [misc]taylor: Taking taylor expansion of n in n 1544087810.112 * [misc]backup-simplify: Simplify 0 into 0 1544087810.112 * [misc]backup-simplify: Simplify 1 into 1 1544087810.112 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.112 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.112 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.112 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.112 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.112 * [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))) 1544087810.113 * [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)))) 1544087810.113 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.113 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087810.113 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087810.113 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.113 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.113 * [misc]taylor: Taking taylor expansion of k in n 1544087810.113 * [misc]backup-simplify: Simplify k into k 1544087810.113 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.113 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.113 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.113 * [misc]backup-simplify: Simplify PI into PI 1544087810.113 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.113 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.113 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.113 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087810.114 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.114 * [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))) 1544087810.114 * [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)))) 1544087810.114 * [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))))) 1544087810.115 * [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))))) 1544087810.116 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087810.116 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.117 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.117 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544087810.118 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.118 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087810.120 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087810.120 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.120 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.120 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544087810.121 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.121 * [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 1544087810.122 * [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 1544087810.122 * [misc]backup-simplify: Simplify 0 into 0 1544087810.122 * [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 1544087810.122 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087810.123 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087810.124 * [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))))) 1544087810.124 * [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 1544087810.124 * [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 1544087810.124 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.124 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.124 * [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 1544087810.124 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of k in n 1544087810.124 * [misc]backup-simplify: Simplify k into k 1544087810.124 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.124 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.124 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.124 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.124 * [misc]backup-simplify: Simplify -2 into -2 1544087810.124 * [misc]taylor: Taking taylor expansion of n in n 1544087810.124 * [misc]backup-simplify: Simplify 0 into 0 1544087810.124 * [misc]backup-simplify: Simplify 1 into 1 1544087810.124 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.125 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.125 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.125 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.125 * [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))) 1544087810.125 * [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)))) 1544087810.125 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.125 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087810.125 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087810.125 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.125 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.125 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.125 * [misc]taylor: Taking taylor expansion of k in n 1544087810.125 * [misc]backup-simplify: Simplify k into k 1544087810.125 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.125 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.126 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087810.126 * [misc]taylor: Taking taylor expansion of PI in n 1544087810.126 * [misc]backup-simplify: Simplify PI into PI 1544087810.126 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087810.126 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.126 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.126 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087810.126 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.127 * [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))) 1544087810.127 * [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)))) 1544087810.127 * [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))))) 1544087810.127 * [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))))) 1544087810.129 * [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)))))))) 1544087810.129 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1544087810.129 * [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)) 1544087810.129 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1544087810.129 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.129 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.129 * [misc]taylor: Taking taylor expansion of k in n 1544087810.129 * [misc]backup-simplify: Simplify k into k 1544087810.129 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087810.129 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.129 * [misc]backup-simplify: Simplify 2 into 2 1544087810.129 * [misc]taylor: Taking taylor expansion of n in n 1544087810.129 * [misc]backup-simplify: Simplify 0 into 0 1544087810.129 * [misc]backup-simplify: Simplify 1 into 1 1544087810.129 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087810.130 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087810.130 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.130 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087810.130 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087810.130 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087810.130 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.130 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087810.130 * [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)))) 1544087810.131 * [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))))) 1544087810.131 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544087810.131 * [misc]taylor: Taking taylor expansion of k in n 1544087810.131 * [misc]backup-simplify: Simplify k into k 1544087810.131 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544087810.131 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544087810.131 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.131 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.131 * [misc]taylor: Taking taylor expansion of k in k 1544087810.131 * [misc]backup-simplify: Simplify 0 into 0 1544087810.131 * [misc]backup-simplify: Simplify 1 into 1 1544087810.131 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087810.131 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.131 * [misc]backup-simplify: Simplify 2 into 2 1544087810.131 * [misc]taylor: Taking taylor expansion of n in k 1544087810.131 * [misc]backup-simplify: Simplify n into n 1544087810.131 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087810.131 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087810.131 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087810.131 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.131 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.131 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087810.132 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087810.132 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544087810.132 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of k in k 1544087810.132 * [misc]backup-simplify: Simplify 0 into 0 1544087810.132 * [misc]backup-simplify: Simplify 1 into 1 1544087810.132 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.132 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.132 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.132 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.132 * [misc]taylor: Taking taylor expansion of k in k 1544087810.132 * [misc]backup-simplify: Simplify 0 into 0 1544087810.132 * [misc]backup-simplify: Simplify 1 into 1 1544087810.132 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087810.132 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087810.133 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.133 * [misc]backup-simplify: Simplify 2 into 2 1544087810.133 * [misc]taylor: Taking taylor expansion of n in k 1544087810.133 * [misc]backup-simplify: Simplify n into n 1544087810.133 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087810.133 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087810.133 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087810.133 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.133 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.133 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087810.133 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087810.133 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544087810.133 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087810.133 * [misc]taylor: Taking taylor expansion of k in k 1544087810.133 * [misc]backup-simplify: Simplify 0 into 0 1544087810.133 * [misc]backup-simplify: Simplify 1 into 1 1544087810.133 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.134 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.134 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1544087810.134 * [misc]taylor: Taking taylor expansion of 0 in n 1544087810.134 * [misc]backup-simplify: Simplify 0 into 0 1544087810.134 * [misc]backup-simplify: Simplify 0 into 0 1544087810.134 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087810.134 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087810.135 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087810.135 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.135 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.135 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087810.135 * [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)))) 1544087810.135 * [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)))) 1544087810.136 * [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)))) 1544087810.136 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544087810.136 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544087810.136 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.136 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.136 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544087810.136 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087810.136 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087810.136 * [misc]taylor: Taking taylor expansion of n in n 1544087810.136 * [misc]backup-simplify: Simplify 0 into 0 1544087810.136 * [misc]backup-simplify: Simplify 1 into 1 1544087810.136 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.136 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.137 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.137 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544087810.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.137 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544087810.137 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544087810.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.138 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544087810.138 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544087810.139 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.139 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.139 * [misc]backup-simplify: Simplify 0 into 0 1544087810.140 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087810.140 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544087810.141 * [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 1544087810.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087810.141 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.141 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544087810.142 * [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))) 1544087810.143 * [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))))) 1544087810.145 * [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)))))) 1544087810.145 * [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 1544087810.145 * [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 1544087810.145 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1544087810.145 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.145 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.145 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1544087810.145 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1544087810.145 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087810.145 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.145 * [misc]backup-simplify: Simplify 2 into 2 1544087810.146 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087810.146 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087810.146 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1544087810.146 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087810.146 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087810.146 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.146 * [misc]backup-simplify: Simplify 2 into 2 1544087810.146 * [misc]taylor: Taking taylor expansion of n in n 1544087810.146 * [misc]backup-simplify: Simplify 0 into 0 1544087810.146 * [misc]backup-simplify: Simplify 1 into 1 1544087810.146 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087810.146 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087810.146 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.146 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1544087810.146 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544087810.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.146 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544087810.147 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544087810.147 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087810.147 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087810.147 * [misc]taylor: Taking taylor expansion of n in n 1544087810.147 * [misc]backup-simplify: Simplify 0 into 0 1544087810.147 * [misc]backup-simplify: Simplify 1 into 1 1544087810.147 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.147 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.147 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.147 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544087810.147 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544087810.147 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.147 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.147 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544087810.147 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087810.147 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087810.147 * [misc]taylor: Taking taylor expansion of n in n 1544087810.147 * [misc]backup-simplify: Simplify 0 into 0 1544087810.147 * [misc]backup-simplify: Simplify 1 into 1 1544087810.147 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.147 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.148 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.148 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544087810.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.148 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544087810.148 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544087810.148 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.149 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1544087810.149 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1544087810.149 * [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))) 1544087810.150 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.150 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1544087810.150 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087810.151 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087810.152 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1544087810.152 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1544087810.153 * [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))))))) 1544087810.154 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1544087810.156 * [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))))))) 1544087810.156 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.156 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544087810.157 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544087810.157 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.159 * [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))))))))) 1544087810.161 * [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))))))) 1544087810.163 * [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))))))) 1544087810.164 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1544087810.164 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087810.165 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087810.165 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.166 * [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))) 1544087810.166 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.167 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087810.170 * [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)))))))))))) 1544087810.170 * [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))) 1544087810.170 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1544087810.170 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1544087810.170 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087810.170 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.170 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.170 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.170 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.171 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.171 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.171 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.171 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.171 * [misc]taylor: Taking taylor expansion of k in n 1544087810.171 * [misc]backup-simplify: Simplify k into k 1544087810.171 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.171 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.171 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.171 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.171 * [misc]backup-simplify: Simplify 2 into 2 1544087810.171 * [misc]taylor: Taking taylor expansion of n in n 1544087810.171 * [misc]backup-simplify: Simplify 0 into 0 1544087810.171 * [misc]backup-simplify: Simplify 1 into 1 1544087810.171 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.171 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.171 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.171 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.171 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.172 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.172 * [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))) 1544087810.172 * [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)))) 1544087810.172 * [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))))) 1544087810.172 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544087810.173 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.173 * [misc]taylor: Taking taylor expansion of k in n 1544087810.173 * [misc]backup-simplify: Simplify k into k 1544087810.173 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.173 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544087810.173 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.173 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544087810.173 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.173 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.173 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.173 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.173 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.173 * [misc]taylor: Taking taylor expansion of k in k 1544087810.173 * [misc]backup-simplify: Simplify 0 into 0 1544087810.173 * [misc]backup-simplify: Simplify 1 into 1 1544087810.173 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.174 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087810.174 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087810.174 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.174 * [misc]backup-simplify: Simplify 2 into 2 1544087810.174 * [misc]taylor: Taking taylor expansion of n in k 1544087810.174 * [misc]backup-simplify: Simplify n into n 1544087810.174 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087810.174 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087810.174 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.174 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.174 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.174 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087810.174 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.175 * [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))))) 1544087810.175 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087810.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.175 * [misc]taylor: Taking taylor expansion of k in k 1544087810.175 * [misc]backup-simplify: Simplify 0 into 0 1544087810.175 * [misc]backup-simplify: Simplify 1 into 1 1544087810.175 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.175 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.176 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.176 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.176 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.176 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of k in k 1544087810.176 * [misc]backup-simplify: Simplify 0 into 0 1544087810.176 * [misc]backup-simplify: Simplify 1 into 1 1544087810.176 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.176 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087810.176 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.176 * [misc]backup-simplify: Simplify 2 into 2 1544087810.176 * [misc]taylor: Taking taylor expansion of n in k 1544087810.176 * [misc]backup-simplify: Simplify n into n 1544087810.176 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087810.177 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087810.177 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.177 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.177 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.177 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087810.177 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.177 * [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))))) 1544087810.178 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087810.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.178 * [misc]taylor: Taking taylor expansion of k in k 1544087810.178 * [misc]backup-simplify: Simplify 0 into 0 1544087810.178 * [misc]backup-simplify: Simplify 1 into 1 1544087810.178 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.178 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.178 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087810.179 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544087810.179 * [misc]taylor: Taking taylor expansion of 0 in n 1544087810.179 * [misc]backup-simplify: Simplify 0 into 0 1544087810.179 * [misc]backup-simplify: Simplify 0 into 0 1544087810.179 * [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 1544087810.179 * [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))))))) 1544087810.179 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544087810.179 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.180 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.180 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of k in n 1544087810.180 * [misc]backup-simplify: Simplify k into k 1544087810.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.180 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.180 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.180 * [misc]backup-simplify: Simplify 2 into 2 1544087810.180 * [misc]taylor: Taking taylor expansion of n in n 1544087810.180 * [misc]backup-simplify: Simplify 0 into 0 1544087810.180 * [misc]backup-simplify: Simplify 1 into 1 1544087810.180 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.180 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.181 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.181 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.181 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.181 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.181 * [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))) 1544087810.182 * [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)))) 1544087810.182 * [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))))) 1544087810.182 * [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))))) 1544087810.183 * [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))))))) 1544087810.183 * [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))))))) 1544087810.183 * [misc]backup-simplify: Simplify 0 into 0 1544087810.183 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087810.184 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087810.185 * [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 1544087810.185 * [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))))))) 1544087810.185 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544087810.185 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544087810.185 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.186 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.186 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.186 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.186 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of k in n 1544087810.186 * [misc]backup-simplify: Simplify k into k 1544087810.186 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.186 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.186 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.186 * [misc]backup-simplify: Simplify 2 into 2 1544087810.186 * [misc]taylor: Taking taylor expansion of n in n 1544087810.186 * [misc]backup-simplify: Simplify 0 into 0 1544087810.186 * [misc]backup-simplify: Simplify 1 into 1 1544087810.186 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.186 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.187 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.187 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.187 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.187 * [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))) 1544087810.188 * [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)))) 1544087810.188 * [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))))) 1544087810.188 * [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))))) 1544087810.189 * [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))))))) 1544087810.189 * [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))))))) 1544087810.189 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087810.192 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087810.192 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.192 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.192 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.192 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.193 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.193 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544087810.194 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.195 * [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 1544087810.195 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1544087810.196 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.196 * [misc]backup-simplify: Simplify 0 into 0 1544087810.196 * [misc]backup-simplify: Simplify 0 into 0 1544087810.196 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087810.197 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087810.198 * [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 1544087810.198 * [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))))))) 1544087810.198 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.198 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.198 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.198 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.199 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.199 * [misc]taylor: Taking taylor expansion of k in n 1544087810.199 * [misc]backup-simplify: Simplify k into k 1544087810.199 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.199 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.199 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.199 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.199 * [misc]backup-simplify: Simplify 2 into 2 1544087810.199 * [misc]taylor: Taking taylor expansion of n in n 1544087810.199 * [misc]backup-simplify: Simplify 0 into 0 1544087810.199 * [misc]backup-simplify: Simplify 1 into 1 1544087810.199 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.199 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.199 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.199 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.199 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.200 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.200 * [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))) 1544087810.200 * [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)))) 1544087810.201 * [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))))) 1544087810.201 * [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))))) 1544087810.201 * [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))))))) 1544087810.202 * [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))))))) 1544087810.203 * [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))))))))))) 1544087810.204 * [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))) 1544087810.204 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1544087810.204 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087810.204 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087810.204 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087810.204 * [misc]taylor: Taking taylor expansion of -1 in n 1544087810.204 * [misc]backup-simplify: Simplify -1 into -1 1544087810.204 * [misc]taylor: Taking taylor expansion of k in n 1544087810.204 * [misc]backup-simplify: Simplify k into k 1544087810.204 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087810.204 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087810.204 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087810.204 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087810.204 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.204 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.205 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.205 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.205 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.205 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.205 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.205 * [misc]taylor: Taking taylor expansion of k in n 1544087810.205 * [misc]backup-simplify: Simplify k into k 1544087810.205 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.205 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.205 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.205 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.205 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.205 * [misc]backup-simplify: Simplify -2 into -2 1544087810.205 * [misc]taylor: Taking taylor expansion of n in n 1544087810.205 * [misc]backup-simplify: Simplify 0 into 0 1544087810.205 * [misc]backup-simplify: Simplify 1 into 1 1544087810.205 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.205 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.205 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.206 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.206 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.206 * [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))) 1544087810.206 * [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)))) 1544087810.207 * [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))))) 1544087810.207 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544087810.207 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087810.207 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087810.207 * [misc]taylor: Taking taylor expansion of -1 in k 1544087810.207 * [misc]backup-simplify: Simplify -1 into -1 1544087810.207 * [misc]taylor: Taking taylor expansion of k in k 1544087810.207 * [misc]backup-simplify: Simplify 0 into 0 1544087810.207 * [misc]backup-simplify: Simplify 1 into 1 1544087810.207 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087810.208 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.208 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087810.208 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087810.208 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087810.208 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087810.208 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.208 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.208 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.208 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.208 * [misc]taylor: Taking taylor expansion of k in k 1544087810.208 * [misc]backup-simplify: Simplify 0 into 0 1544087810.208 * [misc]backup-simplify: Simplify 1 into 1 1544087810.208 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.208 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.209 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087810.209 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087810.209 * [misc]taylor: Taking taylor expansion of -2 in k 1544087810.209 * [misc]backup-simplify: Simplify -2 into -2 1544087810.209 * [misc]taylor: Taking taylor expansion of n in k 1544087810.209 * [misc]backup-simplify: Simplify n into n 1544087810.209 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087810.209 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087810.209 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.209 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.209 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087810.209 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.210 * [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))) 1544087810.210 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544087810.210 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087810.210 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087810.210 * [misc]taylor: Taking taylor expansion of -1 in k 1544087810.210 * [misc]backup-simplify: Simplify -1 into -1 1544087810.210 * [misc]taylor: Taking taylor expansion of k in k 1544087810.210 * [misc]backup-simplify: Simplify 0 into 0 1544087810.210 * [misc]backup-simplify: Simplify 1 into 1 1544087810.210 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087810.210 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087810.211 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087810.211 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.211 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of k in k 1544087810.211 * [misc]backup-simplify: Simplify 0 into 0 1544087810.211 * [misc]backup-simplify: Simplify 1 into 1 1544087810.211 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.211 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087810.211 * [misc]taylor: Taking taylor expansion of -2 in k 1544087810.211 * [misc]backup-simplify: Simplify -2 into -2 1544087810.211 * [misc]taylor: Taking taylor expansion of n in k 1544087810.211 * [misc]backup-simplify: Simplify n into n 1544087810.211 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087810.211 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087810.212 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.212 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.212 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087810.212 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.212 * [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))) 1544087810.212 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087810.212 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.212 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.212 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.212 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.212 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.213 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.213 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.213 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.213 * [misc]taylor: Taking taylor expansion of k in n 1544087810.213 * [misc]backup-simplify: Simplify k into k 1544087810.213 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.213 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.213 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.213 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.213 * [misc]backup-simplify: Simplify -2 into -2 1544087810.213 * [misc]taylor: Taking taylor expansion of n in n 1544087810.213 * [misc]backup-simplify: Simplify 0 into 0 1544087810.213 * [misc]backup-simplify: Simplify 1 into 1 1544087810.213 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.213 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.213 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.214 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.214 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.214 * [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))) 1544087810.214 * [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)))) 1544087810.215 * [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))))) 1544087810.215 * [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))))) 1544087810.216 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087810.217 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087810.217 * [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))))) 1544087810.217 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544087810.217 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544087810.217 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.217 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.217 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087810.217 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.217 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.217 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.217 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.217 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.218 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.218 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.218 * [misc]taylor: Taking taylor expansion of k in n 1544087810.218 * [misc]backup-simplify: Simplify k into k 1544087810.218 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.218 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.218 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.218 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.218 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.218 * [misc]backup-simplify: Simplify -2 into -2 1544087810.218 * [misc]taylor: Taking taylor expansion of n in n 1544087810.218 * [misc]backup-simplify: Simplify 0 into 0 1544087810.218 * [misc]backup-simplify: Simplify 1 into 1 1544087810.218 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.218 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.218 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.219 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.219 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.219 * [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))) 1544087810.220 * [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)))) 1544087810.220 * [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))))) 1544087810.221 * [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))))) 1544087810.221 * [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))))))) 1544087810.221 * [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))))))) 1544087810.222 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087810.224 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087810.224 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.227 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544087810.228 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.229 * [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 1544087810.229 * [misc]backup-simplify: Simplify 0 into 0 1544087810.229 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087810.231 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087810.232 * [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))))) 1544087810.232 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087810.232 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087810.232 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.232 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of k in n 1544087810.232 * [misc]backup-simplify: Simplify k into k 1544087810.232 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.232 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.232 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.232 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.232 * [misc]backup-simplify: Simplify -2 into -2 1544087810.232 * [misc]taylor: Taking taylor expansion of n in n 1544087810.232 * [misc]backup-simplify: Simplify 0 into 0 1544087810.232 * [misc]backup-simplify: Simplify 1 into 1 1544087810.233 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.233 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.233 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.233 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.233 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.234 * [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))) 1544087810.234 * [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)))) 1544087810.234 * [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))))) 1544087810.235 * [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))))) 1544087810.235 * [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))))))) 1544087810.235 * [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))))))) 1544087810.237 * [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))))))))) 1544087810.237 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1544087810.237 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544087810.237 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544087810.237 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087810.237 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087810.237 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087810.237 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087810.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.238 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087810.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.238 * [misc]taylor: Taking taylor expansion of k in k 1544087810.238 * [misc]backup-simplify: Simplify 0 into 0 1544087810.238 * [misc]backup-simplify: Simplify 1 into 1 1544087810.238 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087810.238 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087810.238 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.238 * [misc]backup-simplify: Simplify 2 into 2 1544087810.238 * [misc]taylor: Taking taylor expansion of n in k 1544087810.238 * [misc]backup-simplify: Simplify n into n 1544087810.238 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087810.238 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087810.238 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087810.238 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.238 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.239 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087810.239 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087810.239 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087810.239 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087810.239 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087810.239 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087810.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.239 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087810.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.239 * [misc]taylor: Taking taylor expansion of k in n 1544087810.239 * [misc]backup-simplify: Simplify k into k 1544087810.239 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087810.239 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087810.239 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.239 * [misc]backup-simplify: Simplify 2 into 2 1544087810.239 * [misc]taylor: Taking taylor expansion of n in n 1544087810.239 * [misc]backup-simplify: Simplify 0 into 0 1544087810.239 * [misc]backup-simplify: Simplify 1 into 1 1544087810.239 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087810.240 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087810.240 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.240 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087810.240 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087810.240 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087810.240 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.241 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087810.241 * [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)))) 1544087810.241 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087810.241 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087810.241 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087810.241 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087810.242 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.242 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087810.242 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.242 * [misc]taylor: Taking taylor expansion of k in n 1544087810.242 * [misc]backup-simplify: Simplify k into k 1544087810.242 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087810.242 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087810.242 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.242 * [misc]backup-simplify: Simplify 2 into 2 1544087810.242 * [misc]taylor: Taking taylor expansion of n in n 1544087810.242 * [misc]backup-simplify: Simplify 0 into 0 1544087810.242 * [misc]backup-simplify: Simplify 1 into 1 1544087810.242 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087810.242 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087810.242 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.242 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087810.243 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087810.243 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087810.243 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.243 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087810.244 * [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)))) 1544087810.244 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544087810.244 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544087810.244 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544087810.244 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544087810.244 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.244 * [misc]backup-simplify: Simplify 2 into 2 1544087810.244 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.244 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087810.244 * [misc]taylor: Taking taylor expansion of n in k 1544087810.244 * [misc]backup-simplify: Simplify n into n 1544087810.244 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087810.244 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087810.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.244 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087810.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.244 * [misc]taylor: Taking taylor expansion of k in k 1544087810.245 * [misc]backup-simplify: Simplify 0 into 0 1544087810.245 * [misc]backup-simplify: Simplify 1 into 1 1544087810.245 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544087810.245 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087810.245 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.245 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.245 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544087810.246 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544087810.246 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544087810.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087810.249 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087810.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544087810.249 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.249 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.250 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.250 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544087810.251 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.251 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.251 * [misc]backup-simplify: Simplify 0 into 0 1544087810.251 * [misc]backup-simplify: Simplify 0 into 0 1544087810.252 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087810.252 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.252 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.254 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087810.255 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544087810.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.256 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544087810.257 * [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))))) 1544087810.257 * [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))))) 1544087810.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087810.262 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087810.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544087810.263 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.263 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.263 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087810.264 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544087810.266 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087810.266 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.266 * [misc]backup-simplify: Simplify 0 into 0 1544087810.266 * [misc]backup-simplify: Simplify 0 into 0 1544087810.266 * [misc]backup-simplify: Simplify 0 into 0 1544087810.266 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087810.267 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.267 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.272 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087810.273 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544087810.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.274 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544087810.276 * [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))))) 1544087810.277 * [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))))) 1544087810.280 * [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))))) 1544087810.280 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.281 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544087810.281 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of k in k 1544087810.281 * [misc]backup-simplify: Simplify 0 into 0 1544087810.281 * [misc]backup-simplify: Simplify 1 into 1 1544087810.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.281 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087810.281 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.281 * [misc]backup-simplify: Simplify 2 into 2 1544087810.281 * [misc]taylor: Taking taylor expansion of n in k 1544087810.281 * [misc]backup-simplify: Simplify n into n 1544087810.281 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087810.281 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087810.282 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.282 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.282 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.282 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087810.282 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087810.282 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.282 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.282 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.283 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.283 * [misc]taylor: Taking taylor expansion of k in n 1544087810.283 * [misc]backup-simplify: Simplify k into k 1544087810.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.283 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.283 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.283 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.283 * [misc]backup-simplify: Simplify 2 into 2 1544087810.283 * [misc]taylor: Taking taylor expansion of n in n 1544087810.283 * [misc]backup-simplify: Simplify 0 into 0 1544087810.283 * [misc]backup-simplify: Simplify 1 into 1 1544087810.283 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.283 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.283 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.284 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.284 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.284 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.284 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544087810.285 * [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)))) 1544087810.285 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.285 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.285 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of k in n 1544087810.285 * [misc]backup-simplify: Simplify k into k 1544087810.285 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.285 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087810.285 * [misc]taylor: Taking taylor expansion of 2 in n 1544087810.285 * [misc]backup-simplify: Simplify 2 into 2 1544087810.285 * [misc]taylor: Taking taylor expansion of n in n 1544087810.285 * [misc]backup-simplify: Simplify 0 into 0 1544087810.285 * [misc]backup-simplify: Simplify 1 into 1 1544087810.286 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087810.286 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.286 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.286 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087810.286 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087810.286 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.287 * [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))) 1544087810.287 * [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)))) 1544087810.287 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544087810.287 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544087810.287 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087810.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.287 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.287 * [misc]taylor: Taking taylor expansion of k in k 1544087810.287 * [misc]backup-simplify: Simplify 0 into 0 1544087810.287 * [misc]backup-simplify: Simplify 1 into 1 1544087810.288 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.288 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544087810.288 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544087810.288 * [misc]taylor: Taking taylor expansion of 2 in k 1544087810.288 * [misc]backup-simplify: Simplify 2 into 2 1544087810.288 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087810.288 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087810.288 * [misc]taylor: Taking taylor expansion of n in k 1544087810.288 * [misc]backup-simplify: Simplify n into n 1544087810.288 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087810.288 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.288 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087810.289 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087810.289 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087810.289 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544087810.289 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544087810.289 * [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)))) 1544087810.290 * [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)))) 1544087810.290 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087810.293 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087810.293 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.293 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.293 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.293 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.294 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.294 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544087810.296 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.296 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.296 * [misc]backup-simplify: Simplify 0 into 0 1544087810.296 * [misc]backup-simplify: Simplify 0 into 0 1544087810.296 * [misc]backup-simplify: Simplify 0 into 0 1544087810.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087810.301 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087810.301 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087810.301 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087810.301 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.302 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.302 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.302 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544087810.304 * [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 1544087810.304 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.304 * [misc]backup-simplify: Simplify 0 into 0 1544087810.304 * [misc]backup-simplify: Simplify 0 into 0 1544087810.304 * [misc]backup-simplify: Simplify 0 into 0 1544087810.304 * [misc]backup-simplify: Simplify 0 into 0 1544087810.305 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087810.312 * [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 1544087810.312 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087810.313 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544087810.313 * [misc]backup-simplify: Simplify (- 0) into 0 1544087810.313 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.314 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087810.314 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544087810.318 * [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 1544087810.318 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.318 * [misc]backup-simplify: Simplify 0 into 0 1544087810.318 * [misc]backup-simplify: Simplify 0 into 0 1544087810.318 * [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)))) 1544087810.319 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.319 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544087810.319 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of k in k 1544087810.319 * [misc]backup-simplify: Simplify 0 into 0 1544087810.319 * [misc]backup-simplify: Simplify 1 into 1 1544087810.319 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.319 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087810.319 * [misc]taylor: Taking taylor expansion of -2 in k 1544087810.319 * [misc]backup-simplify: Simplify -2 into -2 1544087810.319 * [misc]taylor: Taking taylor expansion of n in k 1544087810.320 * [misc]backup-simplify: Simplify n into n 1544087810.320 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087810.320 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087810.320 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.320 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.320 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087810.320 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087810.321 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.321 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of k in n 1544087810.321 * [misc]backup-simplify: Simplify k into k 1544087810.321 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.321 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.321 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.321 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.321 * [misc]backup-simplify: Simplify -2 into -2 1544087810.321 * [misc]taylor: Taking taylor expansion of n in n 1544087810.321 * [misc]backup-simplify: Simplify 0 into 0 1544087810.321 * [misc]backup-simplify: Simplify 1 into 1 1544087810.321 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.322 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.322 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.322 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.323 * [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))) 1544087810.323 * [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)))) 1544087810.323 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of k in n 1544087810.323 * [misc]backup-simplify: Simplify k into k 1544087810.323 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087810.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087810.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.323 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087810.323 * [misc]taylor: Taking taylor expansion of -2 in n 1544087810.323 * [misc]backup-simplify: Simplify -2 into -2 1544087810.324 * [misc]taylor: Taking taylor expansion of n in n 1544087810.324 * [misc]backup-simplify: Simplify 0 into 0 1544087810.324 * [misc]backup-simplify: Simplify 1 into 1 1544087810.324 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087810.324 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.324 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087810.324 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087810.324 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.325 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544087810.325 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544087810.325 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544087810.325 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544087810.325 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087810.325 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087810.325 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.325 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087810.325 * [misc]taylor: Taking taylor expansion of k in k 1544087810.325 * [misc]backup-simplify: Simplify 0 into 0 1544087810.326 * [misc]backup-simplify: Simplify 1 into 1 1544087810.326 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087810.326 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087810.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087810.326 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544087810.326 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544087810.326 * [misc]taylor: Taking taylor expansion of -2 in k 1544087810.326 * [misc]backup-simplify: Simplify -2 into -2 1544087810.326 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087810.326 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087810.326 * [misc]taylor: Taking taylor expansion of n in k 1544087810.326 * [misc]backup-simplify: Simplify n into n 1544087810.326 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087810.326 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087810.327 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087810.327 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087810.327 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544087810.327 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544087810.327 * [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)))) 1544087810.328 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544087810.328 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087810.329 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087810.329 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087810.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087810.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.330 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.330 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544087810.331 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087810.331 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.331 * [misc]backup-simplify: Simplify 0 into 0 1544087810.331 * [misc]backup-simplify: Simplify 0 into 0 1544087810.331 * [misc]backup-simplify: Simplify 0 into 0 1544087810.331 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087810.334 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544087810.334 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087810.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087810.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.334 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.335 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544087810.336 * [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 1544087810.336 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.336 * [misc]backup-simplify: Simplify 0 into 0 1544087810.336 * [misc]backup-simplify: Simplify 0 into 0 1544087810.336 * [misc]backup-simplify: Simplify 0 into 0 1544087810.336 * [misc]backup-simplify: Simplify 0 into 0 1544087810.336 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087810.340 * [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 1544087810.340 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087810.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544087810.341 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087810.341 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087810.342 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544087810.344 * [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 1544087810.344 * [misc]taylor: Taking taylor expansion of 0 in k 1544087810.344 * [misc]backup-simplify: Simplify 0 into 0 1544087810.344 * [misc]backup-simplify: Simplify 0 into 0 1544087810.344 * [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))))) 1544087810.344 * * * [misc]progress: simplifying candidates 1544087810.344 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1544087810.344 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1544087810.344 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544087810.344 * * [misc]simplify: iters left: 3 (5 enodes) 1544087810.345 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544087810.345 * [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)))))) 1544087810.345 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1544087810.345 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544087810.345 * * [misc]simplify: iters left: 5 (6 enodes) 1544087810.346 * * [misc]simplify: iters left: 4 (8 enodes) 1544087810.347 * * [misc]simplify: iters left: 3 (11 enodes) 1544087810.349 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544087810.349 * [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)))))) 1544087810.349 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1544087810.349 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544087810.349 * * [misc]simplify: iters left: 5 (6 enodes) 1544087810.350 * * [misc]simplify: iters left: 4 (8 enodes) 1544087810.351 * * [misc]simplify: iters left: 3 (11 enodes) 1544087810.353 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544087810.353 * [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)))))) 1544087810.353 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1544087810.353 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544087810.353 * * [misc]simplify: iters left: 4 (5 enodes) 1544087810.354 * * [misc]simplify: iters left: 3 (7 enodes) 1544087810.355 * * [misc]simplify: iters left: 2 (10 enodes) 1544087810.357 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544087810.357 * [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)))))) 1544087810.357 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1544087810.357 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544087810.357 * * [misc]simplify: iters left: 5 (6 enodes) 1544087810.359 * * [misc]simplify: iters left: 4 (8 enodes) 1544087810.361 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544087810.362 * [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)))))) 1544087810.362 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1544087810.362 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544087810.362 * * [misc]simplify: iters left: 5 (6 enodes) 1544087810.364 * * [misc]simplify: iters left: 4 (8 enodes) 1544087810.366 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544087810.366 * [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)))))) 1544087810.366 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1544087810.366 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1544087810.366 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1544087810.366 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1544087810.366 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1544087810.366 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1544087810.366 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1544087810.367 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # 1544087810.367 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1544087810.367 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544087810.367 * * [misc]simplify: iters left: 6 (16 enodes) 1544087810.373 * * [misc]simplify: iters left: 5 (30 enodes) 1544087810.378 * * [misc]simplify: iters left: 4 (66 enodes) 1544087810.394 * * [misc]simplify: iters left: 3 (209 enodes) 1544087810.525 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1544087810.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1544087810.525 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1544087810.525 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544087810.525 * * [misc]simplify: iters left: 6 (16 enodes) 1544087810.528 * * [misc]simplify: iters left: 5 (30 enodes) 1544087810.533 * * [misc]simplify: iters left: 4 (66 enodes) 1544087810.550 * * [misc]simplify: iters left: 3 (209 enodes) 1544087810.696 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1544087810.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1544087810.696 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1544087810.697 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087810.697 * * [misc]simplify: iters left: 6 (16 enodes) 1544087810.702 * * [misc]simplify: iters left: 5 (28 enodes) 1544087810.711 * * [misc]simplify: iters left: 4 (54 enodes) 1544087810.731 * * [misc]simplify: iters left: 3 (132 enodes) 1544087810.782 * * [misc]simplify: iters left: 2 (467 enodes) 1544087811.143 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544087811.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544087811.143 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1544087811.143 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087811.143 * * [misc]simplify: iters left: 6 (15 enodes) 1544087811.145 * * [misc]simplify: iters left: 5 (24 enodes) 1544087811.149 * * [misc]simplify: iters left: 4 (40 enodes) 1544087811.161 * * [misc]simplify: iters left: 3 (81 enodes) 1544087811.194 * * [misc]simplify: iters left: 2 (186 enodes) 1544087811.267 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544087811.267 * [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)))))) 1544087811.267 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1544087811.267 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544087811.267 * * [misc]simplify: iters left: 6 (16 enodes) 1544087811.270 * * [misc]simplify: iters left: 5 (31 enodes) 1544087811.275 * * [misc]simplify: iters left: 4 (62 enodes) 1544087811.288 * * [misc]simplify: iters left: 3 (183 enodes) 1544087811.376 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1544087811.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1544087811.376 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1544087811.376 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544087811.376 * * [misc]simplify: iters left: 6 (16 enodes) 1544087811.379 * * [misc]simplify: iters left: 5 (31 enodes) 1544087811.384 * * [misc]simplify: iters left: 4 (62 enodes) 1544087811.407 * * [misc]simplify: iters left: 3 (183 enodes) 1544087811.514 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1544087811.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1544087811.514 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1544087811.514 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087811.514 * * [misc]simplify: iters left: 6 (16 enodes) 1544087811.517 * * [misc]simplify: iters left: 5 (29 enodes) 1544087811.521 * * [misc]simplify: iters left: 4 (50 enodes) 1544087811.530 * * [misc]simplify: iters left: 3 (106 enodes) 1544087811.579 * * [misc]simplify: iters left: 2 (416 enodes) 1544087812.119 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544087812.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544087812.119 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1544087812.120 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087812.120 * * [misc]simplify: iters left: 6 (15 enodes) 1544087812.122 * * [misc]simplify: iters left: 5 (25 enodes) 1544087812.125 * * [misc]simplify: iters left: 4 (36 enodes) 1544087812.131 * * [misc]simplify: iters left: 3 (59 enodes) 1544087812.142 * * [misc]simplify: iters left: 2 (151 enodes) 1544087812.204 * * [misc]simplify: iters left: 1 (498 enodes) 1544087812.648 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1544087812.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1544087812.648 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1544087812.649 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1544087812.649 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1544087812.649 * [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)))))) 1544087812.649 * * [misc]simplify: iters left: 6 (19 enodes) 1544087812.652 * * [misc]simplify: iters left: 5 (36 enodes) 1544087812.663 * * [misc]simplify: iters left: 4 (112 enodes) 1544087812.724 * * [misc]simplify: iters left: 3 (434 enodes) 1544087813.101 * [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)))))) 1544087813.101 * [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)))))))) 1544087813.101 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1544087813.102 * [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)))))) 1544087813.102 * * [misc]simplify: iters left: 6 (17 enodes) 1544087813.108 * * [misc]simplify: iters left: 5 (35 enodes) 1544087813.120 * * [misc]simplify: iters left: 4 (92 enodes) 1544087813.162 * * [misc]simplify: iters left: 3 (254 enodes) 1544087813.396 * [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)))))) 1544087813.396 * [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)))))))) 1544087813.396 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1544087813.397 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1544087813.397 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # 1544087813.397 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1544087813.397 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1544087813.397 * [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))))))) 1544087813.397 * * [misc]simplify: iters left: 6 (15 enodes) 1544087813.402 * * [misc]simplify: iters left: 5 (21 enodes) 1544087813.408 * * [misc]simplify: iters left: 4 (24 enodes) 1544087813.415 * [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)))))) 1544087813.415 * [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)))))))) 1544087813.415 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.415 * * [misc]simplify: iters left: 6 (15 enodes) 1544087813.420 * * [misc]simplify: iters left: 5 (19 enodes) 1544087813.425 * * [misc]simplify: iters left: 4 (20 enodes) 1544087813.431 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.431 * [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)))))))) 1544087813.431 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1544087813.432 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.432 * * [misc]simplify: iters left: 6 (14 enodes) 1544087813.436 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.441 * * [misc]simplify: iters left: 4 (21 enodes) 1544087813.447 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.447 * [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)))))))) 1544087813.447 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.447 * * [misc]simplify: iters left: 6 (15 enodes) 1544087813.452 * * [misc]simplify: iters left: 5 (19 enodes) 1544087813.457 * * [misc]simplify: iters left: 4 (20 enodes) 1544087813.463 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.463 * [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)))))))) 1544087813.463 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1544087813.463 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087813.463 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.467 * * [misc]simplify: iters left: 5 (20 enodes) 1544087813.472 * * [misc]simplify: iters left: 4 (27 enodes) 1544087813.481 * * [misc]simplify: iters left: 3 (39 enodes) 1544087813.492 * * [misc]simplify: iters left: 2 (44 enodes) 1544087813.503 * * [misc]simplify: iters left: 1 (51 enodes) 1544087813.516 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544087813.516 * [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))))))) 1544087813.516 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087813.516 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.520 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.522 * * [misc]simplify: iters left: 4 (21 enodes) 1544087813.525 * * [misc]simplify: iters left: 3 (23 enodes) 1544087813.528 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544087813.528 * [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)))))) 1544087813.528 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1544087813.528 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087813.529 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.530 * * [misc]simplify: iters left: 5 (20 enodes) 1544087813.533 * * [misc]simplify: iters left: 4 (27 enodes) 1544087813.537 * * [misc]simplify: iters left: 3 (39 enodes) 1544087813.542 * * [misc]simplify: iters left: 2 (44 enodes) 1544087813.547 * * [misc]simplify: iters left: 1 (51 enodes) 1544087813.553 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544087813.553 * [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))))))) 1544087813.554 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087813.554 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.556 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.558 * * [misc]simplify: iters left: 4 (21 enodes) 1544087813.561 * * [misc]simplify: iters left: 3 (23 enodes) 1544087813.563 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544087813.564 * [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)))))) 1544087813.564 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1544087813.564 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087813.564 * * [misc]simplify: iters left: 6 (14 enodes) 1544087813.566 * * [misc]simplify: iters left: 5 (21 enodes) 1544087813.569 * * [misc]simplify: iters left: 4 (31 enodes) 1544087813.573 * * [misc]simplify: iters left: 3 (43 enodes) 1544087813.583 * * [misc]simplify: iters left: 2 (48 enodes) 1544087813.594 * * [misc]simplify: iters left: 1 (55 enodes) 1544087813.609 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1544087813.609 * [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))))))) 1544087813.609 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087813.609 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.614 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.619 * * [misc]simplify: iters left: 4 (22 enodes) 1544087813.625 * * [misc]simplify: iters left: 3 (24 enodes) 1544087813.630 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544087813.630 * [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)))))) 1544087813.630 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1544087813.630 * [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))))))) 1544087813.630 * * [misc]simplify: iters left: 6 (17 enodes) 1544087813.633 * * [misc]simplify: iters left: 5 (29 enodes) 1544087813.637 * * [misc]simplify: iters left: 4 (50 enodes) 1544087813.645 * * [misc]simplify: iters left: 3 (73 enodes) 1544087813.657 * * [misc]simplify: iters left: 2 (103 enodes) 1544087813.678 * * [misc]simplify: iters left: 1 (127 enodes) 1544087813.720 * [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)))) 1544087813.720 * [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)))))))) 1544087813.720 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.720 * * [misc]simplify: iters left: 6 (16 enodes) 1544087813.723 * * [misc]simplify: iters left: 5 (22 enodes) 1544087813.726 * * [misc]simplify: iters left: 4 (26 enodes) 1544087813.730 * * [misc]simplify: iters left: 3 (28 enodes) 1544087813.733 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087813.733 * [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))))))) 1544087813.733 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1544087813.734 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.734 * * [misc]simplify: iters left: 6 (16 enodes) 1544087813.736 * * [misc]simplify: iters left: 5 (24 enodes) 1544087813.739 * * [misc]simplify: iters left: 4 (34 enodes) 1544087813.745 * * [misc]simplify: iters left: 3 (46 enodes) 1544087813.751 * * [misc]simplify: iters left: 2 (51 enodes) 1544087813.763 * * [misc]simplify: iters left: 1 (58 enodes) 1544087813.778 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1544087813.778 * [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)))))))) 1544087813.778 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.778 * * [misc]simplify: iters left: 6 (16 enodes) 1544087813.783 * * [misc]simplify: iters left: 5 (22 enodes) 1544087813.786 * * [misc]simplify: iters left: 4 (26 enodes) 1544087813.789 * * [misc]simplify: iters left: 3 (28 enodes) 1544087813.793 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087813.793 * [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))))))) 1544087813.793 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1544087813.793 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087813.794 * * [misc]simplify: iters left: 6 (10 enodes) 1544087813.795 * * [misc]simplify: iters left: 5 (17 enodes) 1544087813.798 * * [misc]simplify: iters left: 4 (28 enodes) 1544087813.802 * * [misc]simplify: iters left: 3 (33 enodes) 1544087813.805 * * [misc]simplify: iters left: 2 (50 enodes) 1544087813.813 * * [misc]simplify: iters left: 1 (65 enodes) 1544087813.829 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544087813.829 * [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))))))) 1544087813.829 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087813.830 * * [misc]simplify: iters left: 6 (15 enodes) 1544087813.834 * * [misc]simplify: iters left: 5 (21 enodes) 1544087813.839 * * [misc]simplify: iters left: 4 (25 enodes) 1544087813.844 * * [misc]simplify: iters left: 3 (27 enodes) 1544087813.849 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1544087813.849 * [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))))) 1544087813.849 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1544087813.849 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087813.849 * * [misc]simplify: iters left: 6 (12 enodes) 1544087813.851 * * [misc]simplify: iters left: 5 (17 enodes) 1544087813.853 * * [misc]simplify: iters left: 4 (20 enodes) 1544087813.856 * * [misc]simplify: iters left: 3 (22 enodes) 1544087813.859 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544087813.859 * [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))))))) 1544087813.859 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087813.859 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.861 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.863 * * [misc]simplify: iters left: 4 (21 enodes) 1544087813.866 * * [misc]simplify: iters left: 3 (23 enodes) 1544087813.869 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544087813.869 * [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)))))) 1544087813.869 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1544087813.869 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087813.870 * * [misc]simplify: iters left: 6 (12 enodes) 1544087813.871 * * [misc]simplify: iters left: 5 (17 enodes) 1544087813.873 * * [misc]simplify: iters left: 4 (20 enodes) 1544087813.877 * * [misc]simplify: iters left: 3 (22 enodes) 1544087813.882 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544087813.882 * [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))))))) 1544087813.883 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087813.883 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.887 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.892 * * [misc]simplify: iters left: 4 (21 enodes) 1544087813.897 * * [misc]simplify: iters left: 3 (23 enodes) 1544087813.903 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544087813.904 * [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)))))) 1544087813.904 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1544087813.904 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087813.904 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.908 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.910 * * [misc]simplify: iters left: 4 (24 enodes) 1544087813.913 * * [misc]simplify: iters left: 3 (26 enodes) 1544087813.917 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087813.917 * [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))))))) 1544087813.917 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087813.917 * * [misc]simplify: iters left: 6 (13 enodes) 1544087813.919 * * [misc]simplify: iters left: 5 (18 enodes) 1544087813.921 * * [misc]simplify: iters left: 4 (22 enodes) 1544087813.925 * * [misc]simplify: iters left: 3 (24 enodes) 1544087813.928 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544087813.928 * [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)))))) 1544087813.928 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1544087813.928 * [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))))))) 1544087813.928 * * [misc]simplify: iters left: 6 (16 enodes) 1544087813.931 * * [misc]simplify: iters left: 5 (24 enodes) 1544087813.934 * * [misc]simplify: iters left: 4 (32 enodes) 1544087813.938 * * [misc]simplify: iters left: 3 (41 enodes) 1544087813.944 * * [misc]simplify: iters left: 2 (49 enodes) 1544087813.950 * * [misc]simplify: iters left: 1 (51 enodes) 1544087813.956 * [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)))))) 1544087813.956 * [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)))))))) 1544087813.957 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.957 * * [misc]simplify: iters left: 6 (16 enodes) 1544087813.959 * * [misc]simplify: iters left: 5 (22 enodes) 1544087813.965 * * [misc]simplify: iters left: 4 (26 enodes) 1544087813.970 * * [misc]simplify: iters left: 3 (28 enodes) 1544087813.973 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087813.973 * [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))))))) 1544087813.973 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1544087813.974 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.974 * * [misc]simplify: iters left: 6 (15 enodes) 1544087813.976 * * [misc]simplify: iters left: 5 (21 enodes) 1544087813.979 * * [misc]simplify: iters left: 4 (27 enodes) 1544087813.983 * * [misc]simplify: iters left: 3 (29 enodes) 1544087813.987 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087813.987 * [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)))))))) 1544087813.987 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087813.987 * * [misc]simplify: iters left: 6 (16 enodes) 1544087813.991 * * [misc]simplify: iters left: 5 (22 enodes) 1544087813.997 * * [misc]simplify: iters left: 4 (26 enodes) 1544087814.004 * * [misc]simplify: iters left: 3 (28 enodes) 1544087814.011 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087814.011 * [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))))))) 1544087814.012 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1544087814.012 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1544087814.012 * * [misc]simplify: iters left: 6 (9 enodes) 1544087814.015 * * [misc]simplify: iters left: 5 (14 enodes) 1544087814.020 * * [misc]simplify: iters left: 4 (21 enodes) 1544087814.025 * * [misc]simplify: iters left: 3 (23 enodes) 1544087814.029 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544087814.029 * [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))))))) 1544087814.029 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087814.029 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.034 * * [misc]simplify: iters left: 5 (21 enodes) 1544087814.039 * * [misc]simplify: iters left: 4 (25 enodes) 1544087814.046 * * [misc]simplify: iters left: 3 (27 enodes) 1544087814.053 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1544087814.053 * [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))))) 1544087814.053 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1544087814.053 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544087814.053 * * [misc]simplify: iters left: 6 (10 enodes) 1544087814.057 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.061 * * [misc]simplify: iters left: 4 (19 enodes) 1544087814.066 * * [misc]simplify: iters left: 3 (28 enodes) 1544087814.073 * * [misc]simplify: iters left: 2 (31 enodes) 1544087814.080 * * [misc]simplify: iters left: 1 (33 enodes) 1544087814.087 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544087814.087 * [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))))))) 1544087814.087 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087814.088 * * [misc]simplify: iters left: 6 (12 enodes) 1544087814.091 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.096 * * [misc]simplify: iters left: 4 (20 enodes) 1544087814.101 * * [misc]simplify: iters left: 3 (22 enodes) 1544087814.107 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087814.107 * [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))))) 1544087814.107 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1544087814.107 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544087814.108 * * [misc]simplify: iters left: 6 (10 enodes) 1544087814.111 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.115 * * [misc]simplify: iters left: 4 (19 enodes) 1544087814.120 * * [misc]simplify: iters left: 3 (28 enodes) 1544087814.127 * * [misc]simplify: iters left: 2 (31 enodes) 1544087814.134 * * [misc]simplify: iters left: 1 (33 enodes) 1544087814.141 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544087814.141 * [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))))))) 1544087814.142 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087814.142 * * [misc]simplify: iters left: 6 (12 enodes) 1544087814.145 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.149 * * [misc]simplify: iters left: 4 (20 enodes) 1544087814.151 * * [misc]simplify: iters left: 3 (22 enodes) 1544087814.154 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087814.154 * [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))))) 1544087814.154 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1544087814.154 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087814.154 * * [misc]simplify: iters left: 6 (12 enodes) 1544087814.156 * * [misc]simplify: iters left: 5 (19 enodes) 1544087814.159 * * [misc]simplify: iters left: 4 (24 enodes) 1544087814.163 * * [misc]simplify: iters left: 3 (33 enodes) 1544087814.167 * * [misc]simplify: iters left: 2 (36 enodes) 1544087814.171 * * [misc]simplify: iters left: 1 (39 enodes) 1544087814.175 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1544087814.175 * [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))))))) 1544087814.175 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087814.175 * * [misc]simplify: iters left: 6 (12 enodes) 1544087814.177 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.180 * * [misc]simplify: iters left: 4 (21 enodes) 1544087814.182 * * [misc]simplify: iters left: 3 (23 enodes) 1544087814.185 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087814.185 * [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)))))) 1544087814.185 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1544087814.185 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087814.185 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.188 * * [misc]simplify: iters left: 5 (25 enodes) 1544087814.191 * * [misc]simplify: iters left: 4 (32 enodes) 1544087814.196 * * [misc]simplify: iters left: 3 (47 enodes) 1544087814.203 * * [misc]simplify: iters left: 2 (62 enodes) 1544087814.222 * * [misc]simplify: iters left: 1 (76 enodes) 1544087814.244 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1544087814.244 * [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)))))))) 1544087814.245 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.245 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.249 * * [misc]simplify: iters left: 5 (21 enodes) 1544087814.255 * * [misc]simplify: iters left: 4 (25 enodes) 1544087814.262 * * [misc]simplify: iters left: 3 (27 enodes) 1544087814.270 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544087814.270 * [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))))) 1544087814.270 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1544087814.270 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.270 * * [misc]simplify: iters left: 6 (14 enodes) 1544087814.274 * * [misc]simplify: iters left: 5 (22 enodes) 1544087814.281 * * [misc]simplify: iters left: 4 (27 enodes) 1544087814.289 * * [misc]simplify: iters left: 3 (36 enodes) 1544087814.297 * * [misc]simplify: iters left: 2 (39 enodes) 1544087814.303 * * [misc]simplify: iters left: 1 (42 enodes) 1544087814.308 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1544087814.308 * [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)))))))) 1544087814.308 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.308 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.310 * * [misc]simplify: iters left: 5 (21 enodes) 1544087814.313 * * [misc]simplify: iters left: 4 (25 enodes) 1544087814.317 * * [misc]simplify: iters left: 3 (27 enodes) 1544087814.320 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544087814.320 * [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))))) 1544087814.320 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1544087814.320 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1544087814.320 * * [misc]simplify: iters left: 4 (6 enodes) 1544087814.321 * * [misc]simplify: iters left: 3 (9 enodes) 1544087814.322 * [exit]simplify: Simplified to (sqrt PI) 1544087814.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087814.323 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087814.323 * * [misc]simplify: iters left: 6 (14 enodes) 1544087814.325 * * [misc]simplify: iters left: 5 (20 enodes) 1544087814.327 * * [misc]simplify: iters left: 4 (24 enodes) 1544087814.331 * * [misc]simplify: iters left: 3 (26 enodes) 1544087814.334 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087814.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087814.334 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1544087814.334 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1544087814.334 * * [misc]simplify: iters left: 3 (5 enodes) 1544087814.335 * * [misc]simplify: iters left: 2 (8 enodes) 1544087814.336 * * [misc]simplify: iters left: 1 (10 enodes) 1544087814.337 * [exit]simplify: Simplified to (sqrt PI) 1544087814.337 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087814.337 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087814.337 * * [misc]simplify: iters left: 6 (14 enodes) 1544087814.339 * * [misc]simplify: iters left: 5 (20 enodes) 1544087814.342 * * [misc]simplify: iters left: 4 (24 enodes) 1544087814.349 * * [misc]simplify: iters left: 3 (26 enodes) 1544087814.355 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087814.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087814.355 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1544087814.356 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1544087814.356 * * [misc]simplify: iters left: 3 (6 enodes) 1544087814.358 * * [misc]simplify: iters left: 2 (7 enodes) 1544087814.359 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544087814.359 * [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))))))) 1544087814.360 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087814.360 * * [misc]simplify: iters left: 6 (14 enodes) 1544087814.364 * * [misc]simplify: iters left: 5 (22 enodes) 1544087814.370 * * [misc]simplify: iters left: 4 (26 enodes) 1544087814.379 * * [misc]simplify: iters left: 3 (36 enodes) 1544087814.388 * * [misc]simplify: iters left: 2 (38 enodes) 1544087814.395 * * [misc]simplify: iters left: 1 (43 enodes) 1544087814.405 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1544087814.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1544087814.405 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1544087814.405 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087814.405 * * [misc]simplify: iters left: 6 (11 enodes) 1544087814.409 * * [misc]simplify: iters left: 5 (16 enodes) 1544087814.413 * * [misc]simplify: iters left: 4 (19 enodes) 1544087814.418 * * [misc]simplify: iters left: 3 (21 enodes) 1544087814.423 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544087814.423 * [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))))) 1544087814.423 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1544087814.423 * * [misc]simplify: iters left: 6 (10 enodes) 1544087814.426 * * [misc]simplify: iters left: 5 (13 enodes) 1544087814.430 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1544087814.430 * [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))))) 1544087814.430 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1544087814.430 * [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))))))) 1544087814.430 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.435 * * [misc]simplify: iters left: 5 (21 enodes) 1544087814.440 * * [misc]simplify: iters left: 4 (24 enodes) 1544087814.447 * [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)))))) 1544087814.447 * [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)))))))) 1544087814.447 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.447 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.452 * * [misc]simplify: iters left: 5 (19 enodes) 1544087814.457 * * [misc]simplify: iters left: 4 (20 enodes) 1544087814.462 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.462 * [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)))))))) 1544087814.462 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1544087814.463 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.463 * * [misc]simplify: iters left: 6 (14 enodes) 1544087814.467 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.472 * * [misc]simplify: iters left: 4 (21 enodes) 1544087814.478 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.478 * [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)))))))) 1544087814.479 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.479 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.483 * * [misc]simplify: iters left: 5 (19 enodes) 1544087814.488 * * [misc]simplify: iters left: 4 (20 enodes) 1544087814.494 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.494 * [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)))))))) 1544087814.494 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1544087814.494 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087814.495 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.499 * * [misc]simplify: iters left: 5 (20 enodes) 1544087814.504 * * [misc]simplify: iters left: 4 (27 enodes) 1544087814.512 * * [misc]simplify: iters left: 3 (39 enodes) 1544087814.523 * * [misc]simplify: iters left: 2 (44 enodes) 1544087814.533 * * [misc]simplify: iters left: 1 (51 enodes) 1544087814.539 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544087814.539 * [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))))))) 1544087814.540 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087814.540 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.542 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.544 * * [misc]simplify: iters left: 4 (21 enodes) 1544087814.547 * * [misc]simplify: iters left: 3 (23 enodes) 1544087814.550 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544087814.550 * [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)))))) 1544087814.550 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1544087814.550 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087814.550 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.552 * * [misc]simplify: iters left: 5 (20 enodes) 1544087814.554 * * [misc]simplify: iters left: 4 (27 enodes) 1544087814.558 * * [misc]simplify: iters left: 3 (39 enodes) 1544087814.568 * * [misc]simplify: iters left: 2 (44 enodes) 1544087814.579 * * [misc]simplify: iters left: 1 (51 enodes) 1544087814.591 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544087814.591 * [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))))))) 1544087814.592 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087814.592 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.595 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.600 * * [misc]simplify: iters left: 4 (21 enodes) 1544087814.606 * * [misc]simplify: iters left: 3 (23 enodes) 1544087814.612 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544087814.612 * [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)))))) 1544087814.612 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1544087814.613 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087814.613 * * [misc]simplify: iters left: 6 (14 enodes) 1544087814.617 * * [misc]simplify: iters left: 5 (21 enodes) 1544087814.623 * * [misc]simplify: iters left: 4 (31 enodes) 1544087814.631 * * [misc]simplify: iters left: 3 (43 enodes) 1544087814.642 * * [misc]simplify: iters left: 2 (48 enodes) 1544087814.655 * * [misc]simplify: iters left: 1 (55 enodes) 1544087814.664 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1544087814.664 * [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))))))) 1544087814.665 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087814.665 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.667 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.669 * * [misc]simplify: iters left: 4 (22 enodes) 1544087814.672 * * [misc]simplify: iters left: 3 (24 enodes) 1544087814.676 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544087814.676 * [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)))))) 1544087814.676 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1544087814.676 * [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))))))) 1544087814.676 * * [misc]simplify: iters left: 6 (17 enodes) 1544087814.679 * * [misc]simplify: iters left: 5 (29 enodes) 1544087814.683 * * [misc]simplify: iters left: 4 (50 enodes) 1544087814.693 * * [misc]simplify: iters left: 3 (73 enodes) 1544087814.716 * * [misc]simplify: iters left: 2 (103 enodes) 1544087814.740 * * [misc]simplify: iters left: 1 (127 enodes) 1544087814.763 * [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)))) 1544087814.763 * [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)))))))) 1544087814.763 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.764 * * [misc]simplify: iters left: 6 (16 enodes) 1544087814.768 * * [misc]simplify: iters left: 5 (22 enodes) 1544087814.775 * * [misc]simplify: iters left: 4 (26 enodes) 1544087814.782 * * [misc]simplify: iters left: 3 (28 enodes) 1544087814.790 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087814.790 * [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))))))) 1544087814.790 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1544087814.790 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.790 * * [misc]simplify: iters left: 6 (16 enodes) 1544087814.793 * * [misc]simplify: iters left: 5 (24 enodes) 1544087814.797 * * [misc]simplify: iters left: 4 (34 enodes) 1544087814.801 * * [misc]simplify: iters left: 3 (46 enodes) 1544087814.808 * * [misc]simplify: iters left: 2 (51 enodes) 1544087814.814 * * [misc]simplify: iters left: 1 (58 enodes) 1544087814.821 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1544087814.821 * [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)))))))) 1544087814.821 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087814.822 * * [misc]simplify: iters left: 6 (16 enodes) 1544087814.825 * * [misc]simplify: iters left: 5 (22 enodes) 1544087814.831 * * [misc]simplify: iters left: 4 (26 enodes) 1544087814.837 * * [misc]simplify: iters left: 3 (28 enodes) 1544087814.840 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087814.840 * [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))))))) 1544087814.841 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1544087814.841 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087814.841 * * [misc]simplify: iters left: 6 (10 enodes) 1544087814.842 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.846 * * [misc]simplify: iters left: 4 (28 enodes) 1544087814.850 * * [misc]simplify: iters left: 3 (33 enodes) 1544087814.853 * * [misc]simplify: iters left: 2 (50 enodes) 1544087814.861 * * [misc]simplify: iters left: 1 (65 enodes) 1544087814.872 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544087814.872 * [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))))))) 1544087814.872 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087814.873 * * [misc]simplify: iters left: 6 (15 enodes) 1544087814.877 * * [misc]simplify: iters left: 5 (21 enodes) 1544087814.883 * * [misc]simplify: iters left: 4 (25 enodes) 1544087814.887 * * [misc]simplify: iters left: 3 (27 enodes) 1544087814.890 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1544087814.890 * [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))))) 1544087814.890 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1544087814.890 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087814.890 * * [misc]simplify: iters left: 6 (12 enodes) 1544087814.892 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.894 * * [misc]simplify: iters left: 4 (20 enodes) 1544087814.897 * * [misc]simplify: iters left: 3 (22 enodes) 1544087814.899 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544087814.900 * [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))))))) 1544087814.900 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087814.900 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.902 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.904 * * [misc]simplify: iters left: 4 (21 enodes) 1544087814.907 * * [misc]simplify: iters left: 3 (23 enodes) 1544087814.910 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544087814.910 * [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)))))) 1544087814.910 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1544087814.910 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087814.910 * * [misc]simplify: iters left: 6 (12 enodes) 1544087814.913 * * [misc]simplify: iters left: 5 (17 enodes) 1544087814.917 * * [misc]simplify: iters left: 4 (20 enodes) 1544087814.922 * * [misc]simplify: iters left: 3 (22 enodes) 1544087814.927 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544087814.928 * [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))))))) 1544087814.928 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087814.928 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.932 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.937 * * [misc]simplify: iters left: 4 (21 enodes) 1544087814.944 * * [misc]simplify: iters left: 3 (23 enodes) 1544087814.950 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544087814.951 * [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)))))) 1544087814.951 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1544087814.951 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087814.951 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.955 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.960 * * [misc]simplify: iters left: 4 (24 enodes) 1544087814.966 * * [misc]simplify: iters left: 3 (26 enodes) 1544087814.973 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087814.973 * [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))))))) 1544087814.973 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087814.973 * * [misc]simplify: iters left: 6 (13 enodes) 1544087814.977 * * [misc]simplify: iters left: 5 (18 enodes) 1544087814.983 * * [misc]simplify: iters left: 4 (22 enodes) 1544087814.989 * * [misc]simplify: iters left: 3 (24 enodes) 1544087814.995 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544087814.995 * [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)))))) 1544087814.995 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1544087814.996 * [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))))))) 1544087814.996 * * [misc]simplify: iters left: 6 (16 enodes) 1544087815.001 * * [misc]simplify: iters left: 5 (24 enodes) 1544087815.008 * * [misc]simplify: iters left: 4 (32 enodes) 1544087815.016 * * [misc]simplify: iters left: 3 (41 enodes) 1544087815.027 * * [misc]simplify: iters left: 2 (49 enodes) 1544087815.039 * * [misc]simplify: iters left: 1 (51 enodes) 1544087815.052 * [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)))))) 1544087815.053 * [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)))))))) 1544087815.053 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.053 * * [misc]simplify: iters left: 6 (16 enodes) 1544087815.058 * * [misc]simplify: iters left: 5 (22 enodes) 1544087815.064 * * [misc]simplify: iters left: 4 (26 enodes) 1544087815.070 * * [misc]simplify: iters left: 3 (28 enodes) 1544087815.077 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087815.077 * [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))))))) 1544087815.078 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1544087815.078 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.078 * * [misc]simplify: iters left: 6 (15 enodes) 1544087815.082 * * [misc]simplify: iters left: 5 (21 enodes) 1544087815.088 * * [misc]simplify: iters left: 4 (27 enodes) 1544087815.096 * * [misc]simplify: iters left: 3 (29 enodes) 1544087815.103 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087815.103 * [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)))))))) 1544087815.104 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.104 * * [misc]simplify: iters left: 6 (16 enodes) 1544087815.109 * * [misc]simplify: iters left: 5 (22 enodes) 1544087815.114 * * [misc]simplify: iters left: 4 (26 enodes) 1544087815.121 * * [misc]simplify: iters left: 3 (28 enodes) 1544087815.128 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087815.128 * [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))))))) 1544087815.129 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1544087815.129 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1544087815.129 * * [misc]simplify: iters left: 6 (9 enodes) 1544087815.132 * * [misc]simplify: iters left: 5 (14 enodes) 1544087815.136 * * [misc]simplify: iters left: 4 (21 enodes) 1544087815.140 * * [misc]simplify: iters left: 3 (23 enodes) 1544087815.142 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544087815.142 * [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))))))) 1544087815.142 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087815.142 * * [misc]simplify: iters left: 6 (15 enodes) 1544087815.145 * * [misc]simplify: iters left: 5 (21 enodes) 1544087815.148 * * [misc]simplify: iters left: 4 (25 enodes) 1544087815.151 * * [misc]simplify: iters left: 3 (27 enodes) 1544087815.154 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1544087815.154 * [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))))) 1544087815.154 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1544087815.155 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544087815.155 * * [misc]simplify: iters left: 6 (10 enodes) 1544087815.156 * * [misc]simplify: iters left: 5 (17 enodes) 1544087815.158 * * [misc]simplify: iters left: 4 (19 enodes) 1544087815.161 * * [misc]simplify: iters left: 3 (28 enodes) 1544087815.164 * * [misc]simplify: iters left: 2 (31 enodes) 1544087815.168 * * [misc]simplify: iters left: 1 (33 enodes) 1544087815.172 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544087815.172 * [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))))))) 1544087815.172 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087815.172 * * [misc]simplify: iters left: 6 (12 enodes) 1544087815.174 * * [misc]simplify: iters left: 5 (17 enodes) 1544087815.176 * * [misc]simplify: iters left: 4 (20 enodes) 1544087815.179 * * [misc]simplify: iters left: 3 (22 enodes) 1544087815.182 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087815.182 * [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))))) 1544087815.182 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1544087815.182 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544087815.182 * * [misc]simplify: iters left: 6 (10 enodes) 1544087815.184 * * [misc]simplify: iters left: 5 (17 enodes) 1544087815.186 * * [misc]simplify: iters left: 4 (19 enodes) 1544087815.189 * * [misc]simplify: iters left: 3 (28 enodes) 1544087815.193 * * [misc]simplify: iters left: 2 (31 enodes) 1544087815.201 * * [misc]simplify: iters left: 1 (33 enodes) 1544087815.209 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544087815.209 * [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))))))) 1544087815.210 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087815.210 * * [misc]simplify: iters left: 6 (12 enodes) 1544087815.213 * * [misc]simplify: iters left: 5 (17 enodes) 1544087815.218 * * [misc]simplify: iters left: 4 (20 enodes) 1544087815.223 * * [misc]simplify: iters left: 3 (22 enodes) 1544087815.229 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087815.229 * [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))))) 1544087815.229 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1544087815.230 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087815.230 * * [misc]simplify: iters left: 6 (12 enodes) 1544087815.233 * * [misc]simplify: iters left: 5 (19 enodes) 1544087815.238 * * [misc]simplify: iters left: 4 (24 enodes) 1544087815.245 * * [misc]simplify: iters left: 3 (33 enodes) 1544087815.253 * * [misc]simplify: iters left: 2 (36 enodes) 1544087815.261 * * [misc]simplify: iters left: 1 (39 enodes) 1544087815.270 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1544087815.270 * [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))))))) 1544087815.270 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087815.270 * * [misc]simplify: iters left: 6 (12 enodes) 1544087815.274 * * [misc]simplify: iters left: 5 (17 enodes) 1544087815.279 * * [misc]simplify: iters left: 4 (21 enodes) 1544087815.284 * * [misc]simplify: iters left: 3 (23 enodes) 1544087815.290 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087815.290 * [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)))))) 1544087815.290 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1544087815.290 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087815.291 * * [misc]simplify: iters left: 6 (15 enodes) 1544087815.295 * * [misc]simplify: iters left: 5 (25 enodes) 1544087815.302 * * [misc]simplify: iters left: 4 (32 enodes) 1544087815.307 * * [misc]simplify: iters left: 3 (47 enodes) 1544087815.314 * * [misc]simplify: iters left: 2 (62 enodes) 1544087815.323 * * [misc]simplify: iters left: 1 (76 enodes) 1544087815.335 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1544087815.335 * [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)))))))) 1544087815.335 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.336 * * [misc]simplify: iters left: 6 (15 enodes) 1544087815.338 * * [misc]simplify: iters left: 5 (21 enodes) 1544087815.341 * * [misc]simplify: iters left: 4 (25 enodes) 1544087815.344 * * [misc]simplify: iters left: 3 (27 enodes) 1544087815.347 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544087815.347 * [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))))) 1544087815.347 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1544087815.348 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.348 * * [misc]simplify: iters left: 6 (14 enodes) 1544087815.350 * * [misc]simplify: iters left: 5 (22 enodes) 1544087815.353 * * [misc]simplify: iters left: 4 (27 enodes) 1544087815.357 * * [misc]simplify: iters left: 3 (36 enodes) 1544087815.361 * * [misc]simplify: iters left: 2 (39 enodes) 1544087815.366 * * [misc]simplify: iters left: 1 (42 enodes) 1544087815.374 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1544087815.374 * [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)))))))) 1544087815.375 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.375 * * [misc]simplify: iters left: 6 (15 enodes) 1544087815.379 * * [misc]simplify: iters left: 5 (21 enodes) 1544087815.385 * * [misc]simplify: iters left: 4 (25 enodes) 1544087815.392 * * [misc]simplify: iters left: 3 (27 enodes) 1544087815.399 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544087815.399 * [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))))) 1544087815.399 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1544087815.399 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1544087815.399 * * [misc]simplify: iters left: 4 (6 enodes) 1544087815.401 * * [misc]simplify: iters left: 3 (9 enodes) 1544087815.403 * [exit]simplify: Simplified to (sqrt PI) 1544087815.403 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087815.403 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087815.404 * * [misc]simplify: iters left: 6 (14 enodes) 1544087815.408 * * [misc]simplify: iters left: 5 (20 enodes) 1544087815.413 * * [misc]simplify: iters left: 4 (24 enodes) 1544087815.420 * * [misc]simplify: iters left: 3 (26 enodes) 1544087815.427 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087815.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087815.427 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1544087815.427 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1544087815.427 * * [misc]simplify: iters left: 3 (5 enodes) 1544087815.429 * * [misc]simplify: iters left: 2 (8 enodes) 1544087815.431 * * [misc]simplify: iters left: 1 (10 enodes) 1544087815.433 * [exit]simplify: Simplified to (sqrt PI) 1544087815.433 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087815.434 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087815.434 * * [misc]simplify: iters left: 6 (14 enodes) 1544087815.439 * * [misc]simplify: iters left: 5 (20 enodes) 1544087815.445 * * [misc]simplify: iters left: 4 (24 enodes) 1544087815.451 * * [misc]simplify: iters left: 3 (26 enodes) 1544087815.455 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087815.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087815.455 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1544087815.455 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1544087815.455 * * [misc]simplify: iters left: 3 (6 enodes) 1544087815.456 * * [misc]simplify: iters left: 2 (7 enodes) 1544087815.457 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544087815.457 * [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))))))) 1544087815.457 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087815.457 * * [misc]simplify: iters left: 6 (14 enodes) 1544087815.459 * * [misc]simplify: iters left: 5 (22 enodes) 1544087815.462 * * [misc]simplify: iters left: 4 (26 enodes) 1544087815.466 * * [misc]simplify: iters left: 3 (36 enodes) 1544087815.470 * * [misc]simplify: iters left: 2 (38 enodes) 1544087815.474 * * [misc]simplify: iters left: 1 (43 enodes) 1544087815.479 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1544087815.479 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1544087815.479 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1544087815.479 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087815.479 * * [misc]simplify: iters left: 6 (11 enodes) 1544087815.481 * * [misc]simplify: iters left: 5 (16 enodes) 1544087815.482 * * [misc]simplify: iters left: 4 (19 enodes) 1544087815.485 * * [misc]simplify: iters left: 3 (21 enodes) 1544087815.487 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544087815.487 * [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))))) 1544087815.488 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1544087815.488 * * [misc]simplify: iters left: 6 (10 enodes) 1544087815.489 * * [misc]simplify: iters left: 5 (13 enodes) 1544087815.491 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1544087815.491 * [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))))) 1544087815.491 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1544087815.491 * [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))))))) 1544087815.491 * * [misc]simplify: iters left: 6 (17 enodes) 1544087815.494 * * [misc]simplify: iters left: 5 (26 enodes) 1544087815.498 * * [misc]simplify: iters left: 4 (38 enodes) 1544087815.503 * * [misc]simplify: iters left: 3 (41 enodes) 1544087815.508 * * [misc]simplify: iters left: 2 (44 enodes) 1544087815.514 * [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))))))) 1544087815.514 * [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)))))))) 1544087815.514 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.514 * * [misc]simplify: iters left: 6 (15 enodes) 1544087815.516 * * [misc]simplify: iters left: 5 (18 enodes) 1544087815.520 * * [misc]simplify: iters left: 4 (21 enodes) 1544087815.522 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087815.522 * [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)))))))) 1544087815.522 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1544087815.523 * [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)))))) 1544087815.523 * * [misc]simplify: iters left: 6 (16 enodes) 1544087815.525 * * [misc]simplify: iters left: 5 (21 enodes) 1544087815.528 * * [misc]simplify: iters left: 4 (26 enodes) 1544087815.531 * * [misc]simplify: iters left: 3 (27 enodes) 1544087815.535 * [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)))))) 1544087815.535 * [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)))))))) 1544087815.535 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087815.535 * * [misc]simplify: iters left: 6 (15 enodes) 1544087815.537 * * [misc]simplify: iters left: 5 (18 enodes) 1544087815.540 * * [misc]simplify: iters left: 4 (21 enodes) 1544087815.542 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087815.542 * [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)))))))) 1544087815.543 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1544087815.543 * [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))) 1544087815.543 * * [misc]simplify: iters left: 6 (17 enodes) 1544087815.545 * * [misc]simplify: iters left: 5 (27 enodes) 1544087815.549 * * [misc]simplify: iters left: 4 (45 enodes) 1544087815.557 * * [misc]simplify: iters left: 3 (86 enodes) 1544087815.572 * * [misc]simplify: iters left: 2 (137 enodes) 1544087815.623 * * [misc]simplify: iters left: 1 (166 enodes) 1544087815.665 * [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)))))) 1544087815.665 * [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))))))) 1544087815.665 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087815.666 * * [misc]simplify: iters left: 6 (16 enodes) 1544087815.668 * * [misc]simplify: iters left: 5 (22 enodes) 1544087815.671 * * [misc]simplify: iters left: 4 (26 enodes) 1544087815.675 * * [misc]simplify: iters left: 3 (28 enodes) 1544087815.678 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087815.678 * [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))))))) 1544087815.678 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1544087815.678 * [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))) 1544087815.679 * * [misc]simplify: iters left: 6 (17 enodes) 1544087815.683 * * [misc]simplify: iters left: 5 (27 enodes) 1544087815.691 * * [misc]simplify: iters left: 4 (45 enodes) 1544087815.706 * * [misc]simplify: iters left: 3 (86 enodes) 1544087815.738 * * [misc]simplify: iters left: 2 (137 enodes) 1544087815.794 * * [misc]simplify: iters left: 1 (166 enodes) 1544087815.848 * [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)))))) 1544087815.848 * [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))))))) 1544087815.848 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087815.848 * * [misc]simplify: iters left: 6 (16 enodes) 1544087815.851 * * [misc]simplify: iters left: 5 (22 enodes) 1544087815.853 * * [misc]simplify: iters left: 4 (26 enodes) 1544087815.857 * * [misc]simplify: iters left: 3 (28 enodes) 1544087815.861 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087815.861 * [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))))))) 1544087815.861 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1544087815.861 * [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))))) 1544087815.861 * * [misc]simplify: iters left: 6 (16 enodes) 1544087815.864 * * [misc]simplify: iters left: 5 (24 enodes) 1544087815.867 * * [misc]simplify: iters left: 4 (42 enodes) 1544087815.881 * * [misc]simplify: iters left: 3 (83 enodes) 1544087815.912 * * [misc]simplify: iters left: 2 (134 enodes) 1544087815.965 * * [misc]simplify: iters left: 1 (163 enodes) 1544087816.004 * [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))))) 1544087816.004 * [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))))))) 1544087816.005 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087816.005 * * [misc]simplify: iters left: 6 (13 enodes) 1544087816.008 * * [misc]simplify: iters left: 5 (17 enodes) 1544087816.013 * * [misc]simplify: iters left: 4 (23 enodes) 1544087816.018 * * [misc]simplify: iters left: 3 (25 enodes) 1544087816.024 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087816.024 * [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))))))) 1544087816.024 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1544087816.025 * [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))))))) 1544087816.025 * * [misc]simplify: iters left: 6 (19 enodes) 1544087816.030 * * [misc]simplify: iters left: 5 (32 enodes) 1544087816.040 * * [misc]simplify: iters left: 4 (66 enodes) 1544087816.060 * * [misc]simplify: iters left: 3 (135 enodes) 1544087816.116 * * [misc]simplify: iters left: 2 (266 enodes) 1544087816.263 * * [misc]simplify: iters left: 1 (376 enodes) 1544087816.478 * [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))))) 1544087816.478 * [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)))))))) 1544087816.479 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087816.479 * * [misc]simplify: iters left: 6 (16 enodes) 1544087816.483 * * [misc]simplify: iters left: 5 (21 enodes) 1544087816.491 * * [misc]simplify: iters left: 4 (27 enodes) 1544087816.497 * * [misc]simplify: iters left: 3 (29 enodes) 1544087816.504 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087816.504 * [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))))) 1544087816.504 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1544087816.505 * [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)))))) 1544087816.505 * * [misc]simplify: iters left: 6 (18 enodes) 1544087816.510 * * [misc]simplify: iters left: 5 (27 enodes) 1544087816.518 * * [misc]simplify: iters left: 4 (45 enodes) 1544087816.532 * * [misc]simplify: iters left: 3 (86 enodes) 1544087816.548 * * [misc]simplify: iters left: 2 (137 enodes) 1544087816.598 * * [misc]simplify: iters left: 1 (166 enodes) 1544087816.634 * [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)))))) 1544087816.634 * [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)))))))) 1544087816.634 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087816.634 * * [misc]simplify: iters left: 6 (16 enodes) 1544087816.637 * * [misc]simplify: iters left: 5 (21 enodes) 1544087816.640 * * [misc]simplify: iters left: 4 (27 enodes) 1544087816.644 * * [misc]simplify: iters left: 3 (29 enodes) 1544087816.648 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087816.648 * [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))))) 1544087816.648 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1544087816.648 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087816.649 * * [misc]simplify: iters left: 6 (15 enodes) 1544087816.651 * * [misc]simplify: iters left: 5 (25 enodes) 1544087816.656 * * [misc]simplify: iters left: 4 (46 enodes) 1544087816.663 * * [misc]simplify: iters left: 3 (70 enodes) 1544087816.682 * * [misc]simplify: iters left: 2 (144 enodes) 1544087816.727 * * [misc]simplify: iters left: 1 (214 enodes) 1544087816.763 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1544087816.763 * [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))))))) 1544087816.763 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087816.763 * * [misc]simplify: iters left: 6 (15 enodes) 1544087816.768 * * [misc]simplify: iters left: 5 (20 enodes) 1544087816.773 * * [misc]simplify: iters left: 4 (26 enodes) 1544087816.780 * * [misc]simplify: iters left: 3 (28 enodes) 1544087816.787 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087816.788 * [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))))))) 1544087816.788 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1544087816.788 * [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))) 1544087816.788 * * [misc]simplify: iters left: 6 (16 enodes) 1544087816.793 * * [misc]simplify: iters left: 5 (24 enodes) 1544087816.800 * * [misc]simplify: iters left: 4 (34 enodes) 1544087816.809 * * [misc]simplify: iters left: 3 (46 enodes) 1544087816.822 * * [misc]simplify: iters left: 2 (58 enodes) 1544087816.832 * * [misc]simplify: iters left: 1 (64 enodes) 1544087816.842 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087816.842 * [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))))))) 1544087816.842 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087816.842 * * [misc]simplify: iters left: 6 (16 enodes) 1544087816.844 * * [misc]simplify: iters left: 5 (22 enodes) 1544087816.847 * * [misc]simplify: iters left: 4 (26 enodes) 1544087816.851 * * [misc]simplify: iters left: 3 (28 enodes) 1544087816.855 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087816.855 * [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))))))) 1544087816.855 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1544087816.856 * [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))) 1544087816.856 * * [misc]simplify: iters left: 6 (16 enodes) 1544087816.860 * * [misc]simplify: iters left: 5 (24 enodes) 1544087816.866 * * [misc]simplify: iters left: 4 (34 enodes) 1544087816.876 * * [misc]simplify: iters left: 3 (46 enodes) 1544087816.889 * * [misc]simplify: iters left: 2 (58 enodes) 1544087816.904 * * [misc]simplify: iters left: 1 (64 enodes) 1544087816.922 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087816.923 * [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))))))) 1544087816.923 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087816.923 * * [misc]simplify: iters left: 6 (16 enodes) 1544087816.928 * * [misc]simplify: iters left: 5 (22 enodes) 1544087816.934 * * [misc]simplify: iters left: 4 (26 enodes) 1544087816.941 * * [misc]simplify: iters left: 3 (28 enodes) 1544087816.949 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087816.949 * [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))))))) 1544087816.949 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1544087816.949 * [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))))) 1544087816.950 * * [misc]simplify: iters left: 6 (15 enodes) 1544087816.954 * * [misc]simplify: iters left: 5 (21 enodes) 1544087816.958 * * [misc]simplify: iters left: 4 (31 enodes) 1544087816.963 * * [misc]simplify: iters left: 3 (43 enodes) 1544087816.969 * * [misc]simplify: iters left: 2 (55 enodes) 1544087816.976 * * [misc]simplify: iters left: 1 (61 enodes) 1544087816.989 * [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)))))) 1544087816.989 * [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))))))) 1544087816.990 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087816.990 * * [misc]simplify: iters left: 6 (13 enodes) 1544087816.993 * * [misc]simplify: iters left: 5 (17 enodes) 1544087816.998 * * [misc]simplify: iters left: 4 (23 enodes) 1544087817.004 * * [misc]simplify: iters left: 3 (25 enodes) 1544087817.011 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087817.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1544087817.012 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1544087817.012 * [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))))))) 1544087817.012 * * [misc]simplify: iters left: 6 (18 enodes) 1544087817.018 * * [misc]simplify: iters left: 5 (27 enodes) 1544087817.026 * * [misc]simplify: iters left: 4 (41 enodes) 1544087817.039 * * [misc]simplify: iters left: 3 (67 enodes) 1544087817.061 * * [misc]simplify: iters left: 2 (106 enodes) 1544087817.093 * * [misc]simplify: iters left: 1 (137 enodes) 1544087817.127 * [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))))))) 1544087817.127 * [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)))))))) 1544087817.128 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087817.128 * * [misc]simplify: iters left: 6 (16 enodes) 1544087817.133 * * [misc]simplify: iters left: 5 (21 enodes) 1544087817.137 * * [misc]simplify: iters left: 4 (27 enodes) 1544087817.141 * * [misc]simplify: iters left: 3 (29 enodes) 1544087817.144 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087817.144 * [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))))) 1544087817.144 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1544087817.145 * [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)))))) 1544087817.145 * * [misc]simplify: iters left: 6 (17 enodes) 1544087817.147 * * [misc]simplify: iters left: 5 (24 enodes) 1544087817.150 * * [misc]simplify: iters left: 4 (34 enodes) 1544087817.155 * * [misc]simplify: iters left: 3 (46 enodes) 1544087817.161 * * [misc]simplify: iters left: 2 (58 enodes) 1544087817.169 * * [misc]simplify: iters left: 1 (64 enodes) 1544087817.178 * [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)))))) 1544087817.178 * [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)))))))) 1544087817.178 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087817.178 * * [misc]simplify: iters left: 6 (16 enodes) 1544087817.181 * * [misc]simplify: iters left: 5 (21 enodes) 1544087817.184 * * [misc]simplify: iters left: 4 (27 enodes) 1544087817.187 * * [misc]simplify: iters left: 3 (29 enodes) 1544087817.191 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087817.191 * [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))))) 1544087817.191 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1544087817.191 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1544087817.191 * * [misc]simplify: iters left: 6 (14 enodes) 1544087817.196 * * [misc]simplify: iters left: 5 (22 enodes) 1544087817.202 * * [misc]simplify: iters left: 4 (33 enodes) 1544087817.210 * * [misc]simplify: iters left: 3 (44 enodes) 1544087817.221 * * [misc]simplify: iters left: 2 (45 enodes) 1544087817.228 * * [misc]simplify: iters left: 1 (51 enodes) 1544087817.240 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087817.240 * [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))))))) 1544087817.240 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087817.241 * * [misc]simplify: iters left: 6 (15 enodes) 1544087817.245 * * [misc]simplify: iters left: 5 (20 enodes) 1544087817.251 * * [misc]simplify: iters left: 4 (26 enodes) 1544087817.258 * * [misc]simplify: iters left: 3 (28 enodes) 1544087817.264 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087817.264 * [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))))))) 1544087817.264 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1544087817.265 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544087817.265 * * [misc]simplify: iters left: 6 (15 enodes) 1544087817.267 * * [misc]simplify: iters left: 5 (25 enodes) 1544087817.270 * * [misc]simplify: iters left: 4 (35 enodes) 1544087817.276 * * [misc]simplify: iters left: 3 (50 enodes) 1544087817.286 * * [misc]simplify: iters left: 2 (98 enodes) 1544087817.335 * * [misc]simplify: iters left: 1 (235 enodes) 1544087817.455 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1544087817.455 * [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))))))) 1544087817.455 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087817.455 * * [misc]simplify: iters left: 6 (15 enodes) 1544087817.460 * * [misc]simplify: iters left: 5 (21 enodes) 1544087817.466 * * [misc]simplify: iters left: 4 (25 enodes) 1544087817.473 * * [misc]simplify: iters left: 3 (27 enodes) 1544087817.480 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544087817.480 * [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)))))) 1544087817.480 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1544087817.480 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544087817.480 * * [misc]simplify: iters left: 6 (15 enodes) 1544087817.485 * * [misc]simplify: iters left: 5 (25 enodes) 1544087817.488 * * [misc]simplify: iters left: 4 (35 enodes) 1544087817.493 * * [misc]simplify: iters left: 3 (50 enodes) 1544087817.501 * * [misc]simplify: iters left: 2 (98 enodes) 1544087817.524 * * [misc]simplify: iters left: 1 (235 enodes) 1544087817.583 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1544087817.583 * [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))))))) 1544087817.583 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087817.583 * * [misc]simplify: iters left: 6 (15 enodes) 1544087817.585 * * [misc]simplify: iters left: 5 (21 enodes) 1544087817.588 * * [misc]simplify: iters left: 4 (25 enodes) 1544087817.591 * * [misc]simplify: iters left: 3 (27 enodes) 1544087817.595 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544087817.595 * [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)))))) 1544087817.595 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1544087817.595 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087817.595 * * [misc]simplify: iters left: 6 (14 enodes) 1544087817.597 * * [misc]simplify: iters left: 5 (22 enodes) 1544087817.600 * * [misc]simplify: iters left: 4 (32 enodes) 1544087817.605 * * [misc]simplify: iters left: 3 (47 enodes) 1544087817.613 * * [misc]simplify: iters left: 2 (95 enodes) 1544087817.637 * * [misc]simplify: iters left: 1 (215 enodes) 1544087817.712 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087817.713 * [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))))))) 1544087817.713 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087817.713 * * [misc]simplify: iters left: 6 (12 enodes) 1544087817.717 * * [misc]simplify: iters left: 5 (16 enodes) 1544087817.722 * * [misc]simplify: iters left: 4 (22 enodes) 1544087817.728 * * [misc]simplify: iters left: 3 (24 enodes) 1544087817.735 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087817.735 * [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))))))) 1544087817.735 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1544087817.735 * [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))))))) 1544087817.735 * * [misc]simplify: iters left: 6 (17 enodes) 1544087817.741 * * [misc]simplify: iters left: 5 (28 enodes) 1544087817.750 * * [misc]simplify: iters left: 4 (42 enodes) 1544087817.763 * * [misc]simplify: iters left: 3 (69 enodes) 1544087817.787 * * [misc]simplify: iters left: 2 (137 enodes) 1544087817.869 * * [misc]simplify: iters left: 1 (398 enodes) 1544087818.184 * [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)))))) 1544087818.185 * [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)))))))) 1544087818.185 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.185 * * [misc]simplify: iters left: 6 (15 enodes) 1544087818.187 * * [misc]simplify: iters left: 5 (20 enodes) 1544087818.190 * * [misc]simplify: iters left: 4 (26 enodes) 1544087818.193 * * [misc]simplify: iters left: 3 (28 enodes) 1544087818.197 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087818.197 * [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))))))) 1544087818.197 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1544087818.197 * [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)))))) 1544087818.197 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.199 * * [misc]simplify: iters left: 5 (25 enodes) 1544087818.203 * * [misc]simplify: iters left: 4 (35 enodes) 1544087818.208 * * [misc]simplify: iters left: 3 (50 enodes) 1544087818.216 * * [misc]simplify: iters left: 2 (73 enodes) 1544087818.230 * * [misc]simplify: iters left: 1 (148 enodes) 1544087818.300 * [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)))))) 1544087818.300 * [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)))))))) 1544087818.300 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.300 * * [misc]simplify: iters left: 6 (15 enodes) 1544087818.305 * * [misc]simplify: iters left: 5 (20 enodes) 1544087818.311 * * [misc]simplify: iters left: 4 (26 enodes) 1544087818.318 * * [misc]simplify: iters left: 3 (28 enodes) 1544087818.325 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087818.325 * [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))))))) 1544087818.325 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1544087818.325 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1544087818.325 * * [misc]simplify: iters left: 6 (12 enodes) 1544087818.329 * * [misc]simplify: iters left: 5 (18 enodes) 1544087818.334 * * [misc]simplify: iters left: 4 (21 enodes) 1544087818.340 * * [misc]simplify: iters left: 3 (29 enodes) 1544087818.346 * * [misc]simplify: iters left: 2 (31 enodes) 1544087818.353 * * [misc]simplify: iters left: 1 (38 enodes) 1544087818.362 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087818.362 * [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))))))) 1544087818.363 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087818.363 * * [misc]simplify: iters left: 6 (14 enodes) 1544087818.367 * * [misc]simplify: iters left: 5 (19 enodes) 1544087818.372 * * [misc]simplify: iters left: 4 (25 enodes) 1544087818.381 * * [misc]simplify: iters left: 3 (27 enodes) 1544087818.388 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087818.388 * [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))))))) 1544087818.388 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1544087818.388 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1544087818.388 * * [misc]simplify: iters left: 6 (11 enodes) 1544087818.392 * * [misc]simplify: iters left: 5 (17 enodes) 1544087818.397 * * [misc]simplify: iters left: 4 (26 enodes) 1544087818.403 * * [misc]simplify: iters left: 3 (28 enodes) 1544087818.410 * * [misc]simplify: iters left: 2 (33 enodes) 1544087818.417 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087818.417 * [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))))))) 1544087818.418 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087818.418 * * [misc]simplify: iters left: 6 (14 enodes) 1544087818.420 * * [misc]simplify: iters left: 5 (19 enodes) 1544087818.422 * * [misc]simplify: iters left: 4 (25 enodes) 1544087818.426 * * [misc]simplify: iters left: 3 (27 enodes) 1544087818.429 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087818.429 * [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))))))) 1544087818.429 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1544087818.429 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1544087818.429 * * [misc]simplify: iters left: 6 (11 enodes) 1544087818.431 * * [misc]simplify: iters left: 5 (15 enodes) 1544087818.433 * * [misc]simplify: iters left: 4 (20 enodes) 1544087818.436 * * [misc]simplify: iters left: 3 (21 enodes) 1544087818.439 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544087818.439 * [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))))))) 1544087818.439 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087818.439 * * [misc]simplify: iters left: 6 (14 enodes) 1544087818.441 * * [misc]simplify: iters left: 5 (21 enodes) 1544087818.444 * * [misc]simplify: iters left: 4 (27 enodes) 1544087818.452 * * [misc]simplify: iters left: 3 (37 enodes) 1544087818.461 * * [misc]simplify: iters left: 2 (39 enodes) 1544087818.468 * * [misc]simplify: iters left: 1 (44 enodes) 1544087818.478 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087818.479 * [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))))))) 1544087818.479 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1544087818.479 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087818.479 * * [misc]simplify: iters left: 6 (15 enodes) 1544087818.484 * * [misc]simplify: iters left: 5 (23 enodes) 1544087818.490 * * [misc]simplify: iters left: 4 (33 enodes) 1544087818.500 * * [misc]simplify: iters left: 3 (45 enodes) 1544087818.513 * * [misc]simplify: iters left: 2 (57 enodes) 1544087818.529 * * [misc]simplify: iters left: 1 (63 enodes) 1544087818.545 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544087818.545 * [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))))) 1544087818.545 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544087818.545 * * [misc]simplify: iters left: 6 (12 enodes) 1544087818.547 * * [misc]simplify: iters left: 5 (15 enodes) 1544087818.549 * * [misc]simplify: iters left: 4 (18 enodes) 1544087818.552 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544087818.552 * [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))))) 1544087818.552 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1544087818.552 * [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))))))) 1544087818.552 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.554 * * [misc]simplify: iters left: 5 (21 enodes) 1544087818.557 * * [misc]simplify: iters left: 4 (24 enodes) 1544087818.560 * [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)))))) 1544087818.560 * [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)))))))) 1544087818.561 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.561 * * [misc]simplify: iters left: 6 (15 enodes) 1544087818.563 * * [misc]simplify: iters left: 5 (18 enodes) 1544087818.565 * * [misc]simplify: iters left: 4 (21 enodes) 1544087818.568 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087818.568 * [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)))))))) 1544087818.568 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1544087818.568 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.568 * * [misc]simplify: iters left: 6 (15 enodes) 1544087818.570 * * [misc]simplify: iters left: 5 (18 enodes) 1544087818.573 * * [misc]simplify: iters left: 4 (21 enodes) 1544087818.576 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087818.576 * [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)))))))) 1544087818.576 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.576 * * [misc]simplify: iters left: 6 (15 enodes) 1544087818.579 * * [misc]simplify: iters left: 5 (18 enodes) 1544087818.583 * * [misc]simplify: iters left: 4 (21 enodes) 1544087818.589 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087818.589 * [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)))))))) 1544087818.589 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1544087818.590 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087818.590 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.595 * * [misc]simplify: iters left: 5 (24 enodes) 1544087818.602 * * [misc]simplify: iters left: 4 (34 enodes) 1544087818.607 * * [misc]simplify: iters left: 3 (46 enodes) 1544087818.614 * * [misc]simplify: iters left: 2 (51 enodes) 1544087818.620 * * [misc]simplify: iters left: 1 (58 enodes) 1544087818.627 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1544087818.627 * [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))))))) 1544087818.627 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087818.628 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.630 * * [misc]simplify: iters left: 5 (22 enodes) 1544087818.633 * * [misc]simplify: iters left: 4 (26 enodes) 1544087818.637 * * [misc]simplify: iters left: 3 (28 enodes) 1544087818.644 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087818.645 * [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))))))) 1544087818.645 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1544087818.645 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087818.645 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.650 * * [misc]simplify: iters left: 5 (24 enodes) 1544087818.657 * * [misc]simplify: iters left: 4 (34 enodes) 1544087818.667 * * [misc]simplify: iters left: 3 (46 enodes) 1544087818.679 * * [misc]simplify: iters left: 2 (51 enodes) 1544087818.692 * * [misc]simplify: iters left: 1 (58 enodes) 1544087818.706 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1544087818.706 * [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))))))) 1544087818.707 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087818.707 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.711 * * [misc]simplify: iters left: 5 (22 enodes) 1544087818.717 * * [misc]simplify: iters left: 4 (26 enodes) 1544087818.725 * * [misc]simplify: iters left: 3 (28 enodes) 1544087818.732 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087818.732 * [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))))))) 1544087818.732 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1544087818.733 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087818.733 * * [misc]simplify: iters left: 6 (15 enodes) 1544087818.738 * * [misc]simplify: iters left: 5 (21 enodes) 1544087818.745 * * [misc]simplify: iters left: 4 (31 enodes) 1544087818.754 * * [misc]simplify: iters left: 3 (43 enodes) 1544087818.765 * * [misc]simplify: iters left: 2 (48 enodes) 1544087818.777 * * [misc]simplify: iters left: 1 (55 enodes) 1544087818.791 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087818.791 * [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))))))) 1544087818.792 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087818.792 * * [misc]simplify: iters left: 6 (13 enodes) 1544087818.795 * * [misc]simplify: iters left: 5 (17 enodes) 1544087818.800 * * [misc]simplify: iters left: 4 (23 enodes) 1544087818.806 * * [misc]simplify: iters left: 3 (25 enodes) 1544087818.813 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087818.813 * [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))))))) 1544087818.813 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1544087818.813 * [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))))))) 1544087818.814 * * [misc]simplify: iters left: 6 (18 enodes) 1544087818.819 * * [misc]simplify: iters left: 5 (29 enodes) 1544087818.828 * * [misc]simplify: iters left: 4 (50 enodes) 1544087818.843 * * [misc]simplify: iters left: 3 (73 enodes) 1544087818.866 * * [misc]simplify: iters left: 2 (103 enodes) 1544087818.896 * * [misc]simplify: iters left: 1 (127 enodes) 1544087818.921 * [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))))) 1544087818.921 * [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)))))))) 1544087818.921 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.921 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.926 * * [misc]simplify: iters left: 5 (21 enodes) 1544087818.932 * * [misc]simplify: iters left: 4 (27 enodes) 1544087818.939 * * [misc]simplify: iters left: 3 (29 enodes) 1544087818.946 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087818.947 * [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))))) 1544087818.947 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1544087818.947 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.947 * * [misc]simplify: iters left: 6 (17 enodes) 1544087818.952 * * [misc]simplify: iters left: 5 (24 enodes) 1544087818.957 * * [misc]simplify: iters left: 4 (34 enodes) 1544087818.962 * * [misc]simplify: iters left: 3 (46 enodes) 1544087818.968 * * [misc]simplify: iters left: 2 (51 enodes) 1544087818.975 * * [misc]simplify: iters left: 1 (58 enodes) 1544087818.983 * [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)))))) 1544087818.983 * [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)))))))) 1544087818.983 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087818.983 * * [misc]simplify: iters left: 6 (16 enodes) 1544087818.988 * * [misc]simplify: iters left: 5 (21 enodes) 1544087818.994 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.001 * * [misc]simplify: iters left: 3 (29 enodes) 1544087819.009 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087819.009 * [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))))) 1544087819.009 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1544087819.009 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087819.009 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.014 * * [misc]simplify: iters left: 5 (22 enodes) 1544087819.021 * * [misc]simplify: iters left: 4 (36 enodes) 1544087819.032 * * [misc]simplify: iters left: 3 (57 enodes) 1544087819.049 * * [misc]simplify: iters left: 2 (119 enodes) 1544087819.102 * * [misc]simplify: iters left: 1 (178 enodes) 1544087819.136 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087819.136 * [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))))))) 1544087819.136 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087819.137 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.141 * * [misc]simplify: iters left: 5 (20 enodes) 1544087819.147 * * [misc]simplify: iters left: 4 (26 enodes) 1544087819.154 * * [misc]simplify: iters left: 3 (28 enodes) 1544087819.161 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087819.161 * [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))))))) 1544087819.161 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1544087819.161 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087819.161 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.166 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.172 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.179 * * [misc]simplify: iters left: 3 (29 enodes) 1544087819.186 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087819.186 * [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))))))) 1544087819.187 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087819.187 * * [misc]simplify: iters left: 6 (16 enodes) 1544087819.191 * * [misc]simplify: iters left: 5 (22 enodes) 1544087819.197 * * [misc]simplify: iters left: 4 (26 enodes) 1544087819.203 * * [misc]simplify: iters left: 3 (28 enodes) 1544087819.210 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087819.210 * [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))))))) 1544087819.210 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1544087819.210 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087819.210 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.215 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.218 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.222 * * [misc]simplify: iters left: 3 (29 enodes) 1544087819.226 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087819.226 * [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))))))) 1544087819.226 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087819.226 * * [misc]simplify: iters left: 6 (16 enodes) 1544087819.229 * * [misc]simplify: iters left: 5 (22 enodes) 1544087819.232 * * [misc]simplify: iters left: 4 (26 enodes) 1544087819.235 * * [misc]simplify: iters left: 3 (28 enodes) 1544087819.239 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087819.239 * [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))))))) 1544087819.239 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1544087819.239 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087819.239 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.241 * * [misc]simplify: iters left: 5 (18 enodes) 1544087819.246 * * [misc]simplify: iters left: 4 (24 enodes) 1544087819.253 * * [misc]simplify: iters left: 3 (26 enodes) 1544087819.259 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087819.259 * [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))))))) 1544087819.259 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087819.260 * * [misc]simplify: iters left: 6 (13 enodes) 1544087819.261 * * [misc]simplify: iters left: 5 (17 enodes) 1544087819.264 * * [misc]simplify: iters left: 4 (23 enodes) 1544087819.267 * * [misc]simplify: iters left: 3 (25 enodes) 1544087819.270 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087819.270 * [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))))))) 1544087819.270 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1544087819.270 * [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))))))) 1544087819.270 * * [misc]simplify: iters left: 6 (17 enodes) 1544087819.273 * * [misc]simplify: iters left: 5 (24 enodes) 1544087819.277 * * [misc]simplify: iters left: 4 (32 enodes) 1544087819.283 * * [misc]simplify: iters left: 3 (41 enodes) 1544087819.295 * * [misc]simplify: iters left: 2 (49 enodes) 1544087819.305 * * [misc]simplify: iters left: 1 (51 enodes) 1544087819.312 * [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)))))) 1544087819.312 * [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)))))))) 1544087819.313 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.313 * * [misc]simplify: iters left: 6 (16 enodes) 1544087819.315 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.318 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.322 * * [misc]simplify: iters left: 3 (29 enodes) 1544087819.326 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087819.326 * [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))))) 1544087819.326 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1544087819.326 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.326 * * [misc]simplify: iters left: 6 (16 enodes) 1544087819.328 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.332 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.340 * * [misc]simplify: iters left: 3 (29 enodes) 1544087819.348 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087819.348 * [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)))))))) 1544087819.348 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.348 * * [misc]simplify: iters left: 6 (16 enodes) 1544087819.354 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.360 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.367 * * [misc]simplify: iters left: 3 (29 enodes) 1544087819.375 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087819.375 * [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))))) 1544087819.375 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1544087819.376 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1544087819.376 * * [misc]simplify: iters left: 6 (13 enodes) 1544087819.380 * * [misc]simplify: iters left: 5 (19 enodes) 1544087819.386 * * [misc]simplify: iters left: 4 (29 enodes) 1544087819.394 * * [misc]simplify: iters left: 3 (33 enodes) 1544087819.401 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087819.401 * [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))))))) 1544087819.401 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087819.401 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.405 * * [misc]simplify: iters left: 5 (20 enodes) 1544087819.407 * * [misc]simplify: iters left: 4 (26 enodes) 1544087819.411 * * [misc]simplify: iters left: 3 (28 enodes) 1544087819.414 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087819.414 * [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))))))) 1544087819.414 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1544087819.415 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1544087819.415 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.417 * * [misc]simplify: iters left: 5 (22 enodes) 1544087819.420 * * [misc]simplify: iters left: 4 (28 enodes) 1544087819.424 * * [misc]simplify: iters left: 3 (38 enodes) 1544087819.428 * * [misc]simplify: iters left: 2 (40 enodes) 1544087819.432 * * [misc]simplify: iters left: 1 (45 enodes) 1544087819.440 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544087819.440 * [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))))))) 1544087819.440 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087819.440 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.445 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.451 * * [misc]simplify: iters left: 4 (25 enodes) 1544087819.458 * * [misc]simplify: iters left: 3 (27 enodes) 1544087819.465 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544087819.465 * [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)))))) 1544087819.465 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1544087819.465 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1544087819.465 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.468 * * [misc]simplify: iters left: 5 (22 enodes) 1544087819.472 * * [misc]simplify: iters left: 4 (28 enodes) 1544087819.476 * * [misc]simplify: iters left: 3 (38 enodes) 1544087819.481 * * [misc]simplify: iters left: 2 (40 enodes) 1544087819.485 * * [misc]simplify: iters left: 1 (45 enodes) 1544087819.490 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544087819.490 * [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))))))) 1544087819.490 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087819.490 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.492 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.495 * * [misc]simplify: iters left: 4 (25 enodes) 1544087819.498 * * [misc]simplify: iters left: 3 (27 enodes) 1544087819.505 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544087819.505 * [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)))))) 1544087819.505 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1544087819.505 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087819.505 * * [misc]simplify: iters left: 6 (13 enodes) 1544087819.509 * * [misc]simplify: iters left: 5 (19 enodes) 1544087819.515 * * [misc]simplify: iters left: 4 (25 enodes) 1544087819.523 * * [misc]simplify: iters left: 3 (35 enodes) 1544087819.532 * * [misc]simplify: iters left: 2 (37 enodes) 1544087819.540 * * [misc]simplify: iters left: 1 (42 enodes) 1544087819.550 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544087819.550 * [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))))))) 1544087819.550 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087819.550 * * [misc]simplify: iters left: 6 (12 enodes) 1544087819.554 * * [misc]simplify: iters left: 5 (16 enodes) 1544087819.559 * * [misc]simplify: iters left: 4 (22 enodes) 1544087819.565 * * [misc]simplify: iters left: 3 (24 enodes) 1544087819.571 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087819.571 * [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))))))) 1544087819.571 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1544087819.572 * [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))))))) 1544087819.572 * * [misc]simplify: iters left: 6 (16 enodes) 1544087819.577 * * [misc]simplify: iters left: 5 (25 enodes) 1544087819.584 * * [misc]simplify: iters left: 4 (33 enodes) 1544087819.593 * * [misc]simplify: iters left: 3 (47 enodes) 1544087819.601 * * [misc]simplify: iters left: 2 (56 enodes) 1544087819.607 * * [misc]simplify: iters left: 1 (66 enodes) 1544087819.617 * [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))))) 1544087819.617 * [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)))))))) 1544087819.617 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.618 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.620 * * [misc]simplify: iters left: 5 (20 enodes) 1544087819.625 * * [misc]simplify: iters left: 4 (26 enodes) 1544087819.632 * * [misc]simplify: iters left: 3 (28 enodes) 1544087819.639 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087819.640 * [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))))))) 1544087819.640 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1544087819.640 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.640 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.644 * * [misc]simplify: iters left: 5 (22 enodes) 1544087819.649 * * [misc]simplify: iters left: 4 (28 enodes) 1544087819.658 * * [misc]simplify: iters left: 3 (38 enodes) 1544087819.667 * * [misc]simplify: iters left: 2 (40 enodes) 1544087819.675 * * [misc]simplify: iters left: 1 (45 enodes) 1544087819.685 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544087819.685 * [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)))))))) 1544087819.685 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.686 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.690 * * [misc]simplify: iters left: 5 (20 enodes) 1544087819.696 * * [misc]simplify: iters left: 4 (26 enodes) 1544087819.703 * * [misc]simplify: iters left: 3 (28 enodes) 1544087819.710 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087819.710 * [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))))))) 1544087819.710 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1544087819.711 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1544087819.711 * * [misc]simplify: iters left: 6 (11 enodes) 1544087819.714 * * [misc]simplify: iters left: 5 (15 enodes) 1544087819.718 * * [misc]simplify: iters left: 4 (18 enodes) 1544087819.724 * * [misc]simplify: iters left: 3 (20 enodes) 1544087819.729 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087819.729 * [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))))))) 1544087819.729 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087819.729 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.732 * * [misc]simplify: iters left: 5 (19 enodes) 1544087819.735 * * [misc]simplify: iters left: 4 (25 enodes) 1544087819.738 * * [misc]simplify: iters left: 3 (27 enodes) 1544087819.742 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087819.742 * [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))))))) 1544087819.742 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1544087819.742 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1544087819.742 * * [misc]simplify: iters left: 6 (10 enodes) 1544087819.744 * * [misc]simplify: iters left: 5 (14 enodes) 1544087819.746 * * [misc]simplify: iters left: 4 (19 enodes) 1544087819.748 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087819.748 * [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))))))) 1544087819.748 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087819.748 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.750 * * [misc]simplify: iters left: 5 (19 enodes) 1544087819.753 * * [misc]simplify: iters left: 4 (25 enodes) 1544087819.757 * * [misc]simplify: iters left: 3 (27 enodes) 1544087819.760 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087819.760 * [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))))))) 1544087819.760 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1544087819.760 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544087819.761 * * [misc]simplify: iters left: 6 (10 enodes) 1544087819.762 * * [misc]simplify: iters left: 5 (12 enodes) 1544087819.764 * * [misc]simplify: iters left: 4 (15 enodes) 1544087819.768 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544087819.768 * [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))))))) 1544087819.768 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087819.769 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.772 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.775 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.779 * * [misc]simplify: iters left: 3 (37 enodes) 1544087819.784 * * [misc]simplify: iters left: 2 (39 enodes) 1544087819.788 * * [misc]simplify: iters left: 1 (44 enodes) 1544087819.794 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544087819.794 * [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))))))) 1544087819.794 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1544087819.794 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087819.794 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.796 * * [misc]simplify: iters left: 5 (20 enodes) 1544087819.799 * * [misc]simplify: iters left: 4 (26 enodes) 1544087819.806 * * [misc]simplify: iters left: 3 (28 enodes) 1544087819.813 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1544087819.813 * [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))))) 1544087819.813 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544087819.813 * * [misc]simplify: iters left: 6 (12 enodes) 1544087819.818 * * [misc]simplify: iters left: 5 (15 enodes) 1544087819.822 * * [misc]simplify: iters left: 4 (18 enodes) 1544087819.827 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544087819.827 * [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))))) 1544087819.827 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1544087819.827 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087819.828 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.832 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.838 * * [misc]simplify: iters left: 4 (24 enodes) 1544087819.844 * [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)))))) 1544087819.844 * [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)))))))) 1544087819.844 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.844 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.848 * * [misc]simplify: iters left: 5 (17 enodes) 1544087819.853 * * [misc]simplify: iters left: 4 (20 enodes) 1544087819.859 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.859 * [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)))))))) 1544087819.859 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1544087819.859 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.860 * * [misc]simplify: iters left: 6 (13 enodes) 1544087819.863 * * [misc]simplify: iters left: 5 (18 enodes) 1544087819.868 * * [misc]simplify: iters left: 4 (21 enodes) 1544087819.874 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.874 * [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)))))))) 1544087819.874 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.875 * * [misc]simplify: iters left: 6 (14 enodes) 1544087819.879 * * [misc]simplify: iters left: 5 (17 enodes) 1544087819.883 * * [misc]simplify: iters left: 4 (20 enodes) 1544087819.889 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087819.889 * [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)))))))) 1544087819.889 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1544087819.889 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087819.890 * * [misc]simplify: iters left: 6 (12 enodes) 1544087819.893 * * [misc]simplify: iters left: 5 (20 enodes) 1544087819.898 * * [misc]simplify: iters left: 4 (27 enodes) 1544087819.906 * * [misc]simplify: iters left: 3 (37 enodes) 1544087819.919 * * [misc]simplify: iters left: 2 (64 enodes) 1544087819.938 * * [misc]simplify: iters left: 1 (93 enodes) 1544087819.969 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087819.969 * [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))))))) 1544087819.969 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087819.969 * * [misc]simplify: iters left: 6 (15 enodes) 1544087819.974 * * [misc]simplify: iters left: 5 (21 enodes) 1544087819.980 * * [misc]simplify: iters left: 4 (25 enodes) 1544087819.987 * * [misc]simplify: iters left: 3 (27 enodes) 1544087819.994 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087819.994 * [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)))))) 1544087819.994 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1544087819.994 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087819.994 * * [misc]simplify: iters left: 6 (12 enodes) 1544087819.998 * * [misc]simplify: iters left: 5 (20 enodes) 1544087820.003 * * [misc]simplify: iters left: 4 (27 enodes) 1544087820.010 * * [misc]simplify: iters left: 3 (37 enodes) 1544087820.022 * * [misc]simplify: iters left: 2 (64 enodes) 1544087820.042 * * [misc]simplify: iters left: 1 (93 enodes) 1544087820.072 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087820.072 * [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))))))) 1544087820.072 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087820.072 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.077 * * [misc]simplify: iters left: 5 (21 enodes) 1544087820.082 * * [misc]simplify: iters left: 4 (25 enodes) 1544087820.090 * * [misc]simplify: iters left: 3 (27 enodes) 1544087820.097 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087820.097 * [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)))))) 1544087820.097 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1544087820.097 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087820.097 * * [misc]simplify: iters left: 6 (13 enodes) 1544087820.100 * * [misc]simplify: iters left: 5 (21 enodes) 1544087820.104 * * [misc]simplify: iters left: 4 (31 enodes) 1544087820.109 * * [misc]simplify: iters left: 3 (51 enodes) 1544087820.119 * * [misc]simplify: iters left: 2 (90 enodes) 1544087820.133 * * [misc]simplify: iters left: 1 (181 enodes) 1544087820.198 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087820.198 * [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))))))) 1544087820.198 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087820.198 * * [misc]simplify: iters left: 6 (12 enodes) 1544087820.200 * * [misc]simplify: iters left: 5 (16 enodes) 1544087820.202 * * [misc]simplify: iters left: 4 (22 enodes) 1544087820.205 * * [misc]simplify: iters left: 3 (24 enodes) 1544087820.209 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544087820.209 * [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)))))) 1544087820.209 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1544087820.209 * [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))))))) 1544087820.209 * * [misc]simplify: iters left: 6 (16 enodes) 1544087820.212 * * [misc]simplify: iters left: 5 (29 enodes) 1544087820.216 * * [misc]simplify: iters left: 4 (50 enodes) 1544087820.224 * * [misc]simplify: iters left: 3 (70 enodes) 1544087820.237 * * [misc]simplify: iters left: 2 (169 enodes) 1544087820.317 * [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)))) 1544087820.317 * [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)))))))) 1544087820.317 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087820.317 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.321 * * [misc]simplify: iters left: 5 (20 enodes) 1544087820.326 * * [misc]simplify: iters left: 4 (26 enodes) 1544087820.332 * * [misc]simplify: iters left: 3 (28 enodes) 1544087820.339 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087820.339 * [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))))))) 1544087820.339 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1544087820.339 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087820.340 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.344 * * [misc]simplify: iters left: 5 (24 enodes) 1544087820.350 * * [misc]simplify: iters left: 4 (34 enodes) 1544087820.359 * * [misc]simplify: iters left: 3 (54 enodes) 1544087820.379 * * [misc]simplify: iters left: 2 (93 enodes) 1544087820.411 * * [misc]simplify: iters left: 1 (182 enodes) 1544087820.503 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087820.503 * [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)))))))) 1544087820.503 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087820.503 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.508 * * [misc]simplify: iters left: 5 (20 enodes) 1544087820.514 * * [misc]simplify: iters left: 4 (26 enodes) 1544087820.521 * * [misc]simplify: iters left: 3 (28 enodes) 1544087820.527 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087820.527 * [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))))))) 1544087820.527 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # 1544087820.528 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087820.528 * * [misc]simplify: iters left: 6 (7 enodes) 1544087820.530 * * [misc]simplify: iters left: 5 (13 enodes) 1544087820.534 * * [misc]simplify: iters left: 4 (22 enodes) 1544087820.540 * * [misc]simplify: iters left: 3 (24 enodes) 1544087820.543 * * [misc]simplify: iters left: 2 (29 enodes) 1544087820.549 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1544087820.549 * [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))))))) 1544087820.549 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087820.549 * * [misc]simplify: iters left: 6 (14 enodes) 1544087820.553 * * [misc]simplify: iters left: 5 (19 enodes) 1544087820.558 * * [misc]simplify: iters left: 4 (25 enodes) 1544087820.563 * * [misc]simplify: iters left: 3 (27 enodes) 1544087820.571 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087820.571 * [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)))))) 1544087820.571 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1544087820.571 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087820.571 * * [misc]simplify: iters left: 6 (11 enodes) 1544087820.575 * * [misc]simplify: iters left: 5 (17 enodes) 1544087820.579 * * [misc]simplify: iters left: 4 (20 enodes) 1544087820.585 * * [misc]simplify: iters left: 3 (22 enodes) 1544087820.592 * * [misc]simplify: iters left: 2 (34 enodes) 1544087820.601 * * [misc]simplify: iters left: 1 (42 enodes) 1544087820.610 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544087820.610 * [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))))))) 1544087820.610 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087820.610 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.615 * * [misc]simplify: iters left: 5 (21 enodes) 1544087820.621 * * [misc]simplify: iters left: 4 (25 enodes) 1544087820.628 * * [misc]simplify: iters left: 3 (27 enodes) 1544087820.635 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087820.635 * [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)))))) 1544087820.635 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1544087820.636 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087820.636 * * [misc]simplify: iters left: 6 (11 enodes) 1544087820.639 * * [misc]simplify: iters left: 5 (17 enodes) 1544087820.643 * * [misc]simplify: iters left: 4 (20 enodes) 1544087820.649 * * [misc]simplify: iters left: 3 (22 enodes) 1544087820.655 * * [misc]simplify: iters left: 2 (34 enodes) 1544087820.664 * * [misc]simplify: iters left: 1 (42 enodes) 1544087820.674 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544087820.674 * [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))))))) 1544087820.674 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087820.674 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.679 * * [misc]simplify: iters left: 5 (21 enodes) 1544087820.685 * * [misc]simplify: iters left: 4 (25 enodes) 1544087820.693 * * [misc]simplify: iters left: 3 (27 enodes) 1544087820.700 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087820.700 * [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)))))) 1544087820.700 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1544087820.700 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087820.700 * * [misc]simplify: iters left: 6 (12 enodes) 1544087820.704 * * [misc]simplify: iters left: 5 (18 enodes) 1544087820.709 * * [misc]simplify: iters left: 4 (24 enodes) 1544087820.715 * * [misc]simplify: iters left: 3 (32 enodes) 1544087820.725 * * [misc]simplify: iters left: 2 (41 enodes) 1544087820.735 * * [misc]simplify: iters left: 1 (51 enodes) 1544087820.747 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087820.747 * [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))))))) 1544087820.748 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087820.748 * * [misc]simplify: iters left: 6 (12 enodes) 1544087820.751 * * [misc]simplify: iters left: 5 (16 enodes) 1544087820.756 * * [misc]simplify: iters left: 4 (22 enodes) 1544087820.762 * * [misc]simplify: iters left: 3 (24 enodes) 1544087820.768 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544087820.768 * [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)))))) 1544087820.769 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1544087820.769 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087820.769 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.774 * * [misc]simplify: iters left: 5 (24 enodes) 1544087820.781 * * [misc]simplify: iters left: 4 (32 enodes) 1544087820.790 * * [misc]simplify: iters left: 3 (43 enodes) 1544087820.800 * * [misc]simplify: iters left: 2 (69 enodes) 1544087820.811 * * [misc]simplify: iters left: 1 (119 enodes) 1544087820.851 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087820.851 * [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)))))))) 1544087820.852 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087820.852 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.856 * * [misc]simplify: iters left: 5 (20 enodes) 1544087820.862 * * [misc]simplify: iters left: 4 (26 enodes) 1544087820.869 * * [misc]simplify: iters left: 3 (28 enodes) 1544087820.877 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087820.877 * [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))))))) 1544087820.877 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1544087820.877 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087820.877 * * [misc]simplify: iters left: 6 (14 enodes) 1544087820.882 * * [misc]simplify: iters left: 5 (21 enodes) 1544087820.888 * * [misc]simplify: iters left: 4 (27 enodes) 1544087820.895 * * [misc]simplify: iters left: 3 (35 enodes) 1544087820.905 * * [misc]simplify: iters left: 2 (43 enodes) 1544087820.915 * * [misc]simplify: iters left: 1 (56 enodes) 1544087820.930 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087820.930 * [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)))))))) 1544087820.930 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087820.930 * * [misc]simplify: iters left: 6 (15 enodes) 1544087820.935 * * [misc]simplify: iters left: 5 (20 enodes) 1544087820.940 * * [misc]simplify: iters left: 4 (26 enodes) 1544087820.947 * * [misc]simplify: iters left: 3 (28 enodes) 1544087820.956 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087820.956 * [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))))))) 1544087820.956 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1544087820.957 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1544087820.957 * * [misc]simplify: iters left: 6 (6 enodes) 1544087820.959 * * [misc]simplify: iters left: 5 (10 enodes) 1544087820.962 * * [misc]simplify: iters left: 4 (16 enodes) 1544087820.966 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544087820.966 * [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))))))) 1544087820.966 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087820.966 * * [misc]simplify: iters left: 6 (14 enodes) 1544087820.969 * * [misc]simplify: iters left: 5 (19 enodes) 1544087820.971 * * [misc]simplify: iters left: 4 (25 enodes) 1544087820.975 * * [misc]simplify: iters left: 3 (27 enodes) 1544087820.979 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087820.979 * [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)))))) 1544087820.979 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1544087820.979 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544087820.979 * * [misc]simplify: iters left: 6 (8 enodes) 1544087820.981 * * [misc]simplify: iters left: 5 (14 enodes) 1544087820.982 * * [misc]simplify: iters left: 4 (15 enodes) 1544087820.984 * * [misc]simplify: iters left: 3 (19 enodes) 1544087820.986 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544087820.986 * [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))))))) 1544087820.987 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087820.987 * * [misc]simplify: iters left: 6 (14 enodes) 1544087820.989 * * [misc]simplify: iters left: 5 (20 enodes) 1544087820.991 * * [misc]simplify: iters left: 4 (24 enodes) 1544087820.995 * * [misc]simplify: iters left: 3 (26 enodes) 1544087820.998 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544087820.998 * [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)))) 1544087820.998 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1544087820.998 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544087820.998 * * [misc]simplify: iters left: 6 (8 enodes) 1544087821.001 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.004 * * [misc]simplify: iters left: 4 (15 enodes) 1544087821.008 * * [misc]simplify: iters left: 3 (19 enodes) 1544087821.012 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544087821.012 * [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))))))) 1544087821.013 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087821.013 * * [misc]simplify: iters left: 6 (14 enodes) 1544087821.017 * * [misc]simplify: iters left: 5 (20 enodes) 1544087821.023 * * [misc]simplify: iters left: 4 (24 enodes) 1544087821.029 * * [misc]simplify: iters left: 3 (26 enodes) 1544087821.034 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544087821.034 * [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)))) 1544087821.034 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1544087821.034 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087821.034 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.036 * * [misc]simplify: iters left: 5 (16 enodes) 1544087821.038 * * [misc]simplify: iters left: 4 (20 enodes) 1544087821.041 * * [misc]simplify: iters left: 3 (24 enodes) 1544087821.044 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544087821.044 * [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))))))) 1544087821.044 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087821.044 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.046 * * [misc]simplify: iters left: 5 (15 enodes) 1544087821.048 * * [misc]simplify: iters left: 4 (21 enodes) 1544087821.050 * * [misc]simplify: iters left: 3 (23 enodes) 1544087821.053 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087821.054 * [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))))))) 1544087821.054 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1544087821.054 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087821.054 * * [misc]simplify: iters left: 6 (13 enodes) 1544087821.057 * * [misc]simplify: iters left: 5 (22 enodes) 1544087821.060 * * [misc]simplify: iters left: 4 (26 enodes) 1544087821.064 * * [misc]simplify: iters left: 3 (32 enodes) 1544087821.068 * * [misc]simplify: iters left: 2 (34 enodes) 1544087821.072 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087821.072 * [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)))))))) 1544087821.072 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087821.072 * * [misc]simplify: iters left: 6 (14 enodes) 1544087821.074 * * [misc]simplify: iters left: 5 (19 enodes) 1544087821.077 * * [misc]simplify: iters left: 4 (25 enodes) 1544087821.081 * * [misc]simplify: iters left: 3 (27 enodes) 1544087821.084 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.084 * [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))))))) 1544087821.084 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1544087821.085 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087821.085 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.087 * * [misc]simplify: iters left: 5 (19 enodes) 1544087821.089 * * [misc]simplify: iters left: 4 (23 enodes) 1544087821.093 * * [misc]simplify: iters left: 3 (27 enodes) 1544087821.096 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087821.096 * [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)))))))) 1544087821.096 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087821.096 * * [misc]simplify: iters left: 6 (14 enodes) 1544087821.098 * * [misc]simplify: iters left: 5 (19 enodes) 1544087821.101 * * [misc]simplify: iters left: 4 (25 enodes) 1544087821.104 * * [misc]simplify: iters left: 3 (27 enodes) 1544087821.108 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.108 * [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))))))) 1544087821.108 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1544087821.108 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1544087821.108 * * [misc]simplify: iters left: 4 (3 enodes) 1544087821.109 * * [misc]simplify: iters left: 3 (5 enodes) 1544087821.109 * [exit]simplify: Simplified to 1 1544087821.109 * [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))))))) 1544087821.109 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.109 * * [misc]simplify: iters left: 6 (13 enodes) 1544087821.111 * * [misc]simplify: iters left: 5 (18 enodes) 1544087821.114 * * [misc]simplify: iters left: 4 (24 enodes) 1544087821.117 * * [misc]simplify: iters left: 3 (26 enodes) 1544087821.120 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544087821.120 * [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)))) 1544087821.121 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1544087821.121 * [enter]simplify: Simplifying (/ 1 1) 1544087821.121 * * [misc]simplify: iters left: 2 (2 enodes) 1544087821.121 * * [misc]simplify: iters left: 1 (4 enodes) 1544087821.121 * [exit]simplify: Simplified to 1 1544087821.121 * [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))))))) 1544087821.122 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.122 * * [misc]simplify: iters left: 6 (13 enodes) 1544087821.124 * * [misc]simplify: iters left: 5 (18 enodes) 1544087821.126 * * [misc]simplify: iters left: 4 (24 enodes) 1544087821.129 * * [misc]simplify: iters left: 3 (26 enodes) 1544087821.133 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544087821.133 * [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)))) 1544087821.133 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1544087821.133 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544087821.133 * * [misc]simplify: iters left: 3 (4 enodes) 1544087821.134 * * [misc]simplify: iters left: 2 (6 enodes) 1544087821.135 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544087821.136 * [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))))))) 1544087821.136 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.136 * * [misc]simplify: iters left: 6 (13 enodes) 1544087821.138 * * [misc]simplify: iters left: 5 (20 enodes) 1544087821.140 * * [misc]simplify: iters left: 4 (26 enodes) 1544087821.145 * * [misc]simplify: iters left: 3 (36 enodes) 1544087821.149 * * [misc]simplify: iters left: 2 (38 enodes) 1544087821.154 * * [misc]simplify: iters left: 1 (43 enodes) 1544087821.162 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1544087821.162 * [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)))))) 1544087821.163 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1544087821.163 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1544087821.163 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.166 * * [misc]simplify: iters left: 5 (16 enodes) 1544087821.170 * * [misc]simplify: iters left: 4 (19 enodes) 1544087821.174 * * [misc]simplify: iters left: 3 (21 enodes) 1544087821.181 * * [misc]simplify: iters left: 2 (33 enodes) 1544087821.190 * * [misc]simplify: iters left: 1 (41 enodes) 1544087821.198 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1544087821.198 * [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))))) 1544087821.199 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1544087821.199 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.202 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.206 * * [misc]simplify: iters left: 4 (17 enodes) 1544087821.211 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1544087821.211 * [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))))) 1544087821.211 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1544087821.211 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1544087821.211 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1544087821.211 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1544087821.212 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.212 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.215 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.219 * * [misc]simplify: iters left: 4 (17 enodes) 1544087821.224 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.224 * [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))))))) 1544087821.224 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1544087821.224 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.224 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.228 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.232 * * [misc]simplify: iters left: 4 (17 enodes) 1544087821.236 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.236 * [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))))))) 1544087821.237 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1544087821.237 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087821.237 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.240 * * [misc]simplify: iters left: 5 (13 enodes) 1544087821.241 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087821.241 * [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))))) 1544087821.241 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1544087821.242 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087821.242 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.243 * * [misc]simplify: iters left: 5 (13 enodes) 1544087821.245 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087821.245 * [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))))) 1544087821.245 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1544087821.245 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087821.246 * * [misc]simplify: iters left: 6 (9 enodes) 1544087821.247 * * [misc]simplify: iters left: 5 (11 enodes) 1544087821.248 * * [misc]simplify: iters left: 4 (14 enodes) 1544087821.250 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087821.250 * [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)))))) 1544087821.250 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1544087821.251 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.251 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.252 * * [misc]simplify: iters left: 5 (15 enodes) 1544087821.254 * * [misc]simplify: iters left: 4 (18 enodes) 1544087821.258 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.258 * [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))))))) 1544087821.258 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1544087821.258 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.258 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.260 * * [misc]simplify: iters left: 5 (15 enodes) 1544087821.262 * * [misc]simplify: iters left: 4 (18 enodes) 1544087821.264 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.264 * [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))))))) 1544087821.264 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1544087821.265 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.265 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.266 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.269 * * [misc]simplify: iters left: 4 (17 enodes) 1544087821.274 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.274 * [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)))))) 1544087821.274 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1544087821.274 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087821.274 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.277 * * [misc]simplify: iters left: 5 (13 enodes) 1544087821.281 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087821.281 * [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))))) 1544087821.281 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1544087821.281 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087821.282 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.285 * * [misc]simplify: iters left: 5 (13 enodes) 1544087821.288 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087821.288 * [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))))) 1544087821.288 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1544087821.289 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087821.289 * * [misc]simplify: iters left: 6 (9 enodes) 1544087821.291 * * [misc]simplify: iters left: 5 (11 enodes) 1544087821.293 * * [misc]simplify: iters left: 4 (14 enodes) 1544087821.295 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087821.295 * [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)))))) 1544087821.295 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1544087821.295 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.295 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.297 * * [misc]simplify: iters left: 5 (15 enodes) 1544087821.299 * * [misc]simplify: iters left: 4 (18 enodes) 1544087821.302 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.302 * [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))))))) 1544087821.302 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1544087821.302 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.302 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.304 * * [misc]simplify: iters left: 5 (15 enodes) 1544087821.306 * * [misc]simplify: iters left: 4 (18 enodes) 1544087821.308 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.308 * [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))))))) 1544087821.308 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1544087821.309 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.309 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.310 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.312 * * [misc]simplify: iters left: 4 (17 enodes) 1544087821.314 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.314 * [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)))))) 1544087821.314 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1544087821.315 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087821.315 * * [misc]simplify: iters left: 6 (9 enodes) 1544087821.316 * * [misc]simplify: iters left: 5 (12 enodes) 1544087821.318 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087821.318 * [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))))) 1544087821.318 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1544087821.318 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087821.318 * * [misc]simplify: iters left: 6 (9 enodes) 1544087821.319 * * [misc]simplify: iters left: 5 (12 enodes) 1544087821.321 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087821.321 * [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))))) 1544087821.321 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1544087821.321 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087821.321 * * [misc]simplify: iters left: 6 (8 enodes) 1544087821.322 * * [misc]simplify: iters left: 5 (10 enodes) 1544087821.324 * * [misc]simplify: iters left: 4 (13 enodes) 1544087821.328 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087821.328 * [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)))))) 1544087821.328 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1544087821.328 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.328 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.332 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.336 * * [misc]simplify: iters left: 4 (17 enodes) 1544087821.340 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.340 * [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))))))) 1544087821.340 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1544087821.341 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.341 * * [misc]simplify: iters left: 6 (11 enodes) 1544087821.344 * * [misc]simplify: iters left: 5 (14 enodes) 1544087821.348 * * [misc]simplify: iters left: 4 (17 enodes) 1544087821.353 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.353 * [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))))))) 1544087821.353 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1544087821.353 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.354 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.357 * * [misc]simplify: iters left: 5 (13 enodes) 1544087821.361 * * [misc]simplify: iters left: 4 (16 enodes) 1544087821.366 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.366 * [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)))))) 1544087821.366 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1544087821.367 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.367 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.370 * * [misc]simplify: iters left: 5 (13 enodes) 1544087821.374 * * [misc]simplify: iters left: 4 (16 enodes) 1544087821.378 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.378 * [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)))))) 1544087821.378 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1544087821.379 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1544087821.379 * * [misc]simplify: iters left: 6 (10 enodes) 1544087821.382 * * [misc]simplify: iters left: 5 (15 enodes) 1544087821.384 * * [misc]simplify: iters left: 4 (18 enodes) 1544087821.387 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087821.387 * [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)))))) 1544087821.387 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1544087821.387 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087821.387 * * [misc]simplify: iters left: 3 (6 enodes) 1544087821.388 * * [misc]simplify: iters left: 2 (7 enodes) 1544087821.389 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087821.389 * [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)))) 1544087821.389 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1544087821.389 * [enter]simplify: Simplifying (pow PI 1/2) 1544087821.389 * * [misc]simplify: iters left: 1 (3 enodes) 1544087821.390 * [exit]simplify: Simplified to (sqrt PI) 1544087821.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1544087821.390 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1544087821.390 * [enter]simplify: Simplifying (pow PI 1/2) 1544087821.390 * * [misc]simplify: iters left: 1 (3 enodes) 1544087821.390 * [exit]simplify: Simplified to (sqrt PI) 1544087821.391 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1544087821.391 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1544087821.391 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087821.391 * * [misc]simplify: iters left: 6 (9 enodes) 1544087821.392 * * [misc]simplify: iters left: 5 (11 enodes) 1544087821.394 * * [misc]simplify: iters left: 4 (14 enodes) 1544087821.396 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087821.396 * [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))))))) 1544087821.396 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1544087821.396 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087821.396 * * [misc]simplify: iters left: 6 (8 enodes) 1544087821.397 * * [misc]simplify: iters left: 5 (10 enodes) 1544087821.399 * * [misc]simplify: iters left: 4 (13 enodes) 1544087821.401 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087821.401 * [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))))))) 1544087821.401 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1544087821.401 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1544087821.401 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544087821.401 * * [misc]simplify: iters left: 5 (8 enodes) 1544087821.402 * * [misc]simplify: iters left: 4 (11 enodes) 1544087821.404 * * [misc]simplify: iters left: 3 (14 enodes) 1544087821.405 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544087821.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.406 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1544087821.406 * [enter]simplify: Simplifying (pow PI 1/2) 1544087821.406 * * [misc]simplify: iters left: 1 (3 enodes) 1544087821.406 * [exit]simplify: Simplified to (sqrt PI) 1544087821.406 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1544087821.406 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1544087821.406 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1544087821.407 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544087821.407 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.409 * * [misc]simplify: iters left: 5 (21 enodes) 1544087821.414 * * [misc]simplify: iters left: 4 (44 enodes) 1544087821.431 * * [misc]simplify: iters left: 3 (125 enodes) 1544087821.482 * * [misc]simplify: iters left: 2 (343 enodes) 1544087821.587 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1544087821.587 * [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))))))) 1544087821.587 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1544087821.587 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544087821.587 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.590 * * [misc]simplify: iters left: 5 (21 enodes) 1544087821.593 * * [misc]simplify: iters left: 4 (44 enodes) 1544087821.602 * * [misc]simplify: iters left: 3 (125 enodes) 1544087821.649 * * [misc]simplify: iters left: 2 (343 enodes) 1544087821.751 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1544087821.751 * [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))))))) 1544087821.751 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1544087821.751 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1544087821.752 * * [misc]simplify: iters left: 6 (12 enodes) 1544087821.753 * * [misc]simplify: iters left: 5 (19 enodes) 1544087821.758 * * [misc]simplify: iters left: 4 (32 enodes) 1544087821.768 * * [misc]simplify: iters left: 3 (67 enodes) 1544087821.796 * * [misc]simplify: iters left: 2 (194 enodes) 1544087821.894 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544087821.894 * [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))))))) 1544087821.894 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1544087821.894 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1544087821.894 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1544087821.895 * [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))))) 1544087821.895 * * [misc]simplify: iters left: 6 (14 enodes) 1544087821.898 * * [misc]simplify: iters left: 5 (26 enodes) 1544087821.906 * * [misc]simplify: iters left: 4 (58 enodes) 1544087821.926 * * [misc]simplify: iters left: 3 (117 enodes) 1544087821.967 * * [misc]simplify: iters left: 2 (193 enodes) 1544087822.013 * * [misc]simplify: iters left: 1 (263 enodes) 1544087822.094 * [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))))) 1544087822.094 * [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)))))))) 1544087822.094 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1544087822.094 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1544087822.094 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1544087822.095 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1544087822.095 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1544087822.095 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544087822.095 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.098 * * [misc]simplify: iters left: 5 (14 enodes) 1544087822.102 * * [misc]simplify: iters left: 4 (16 enodes) 1544087822.106 * * [misc]simplify: iters left: 3 (17 enodes) 1544087822.111 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544087822.111 * [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))))))) 1544087822.111 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087822.111 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.114 * * [misc]simplify: iters left: 5 (13 enodes) 1544087822.120 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087822.120 * [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)))))) 1544087822.120 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1544087822.120 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544087822.120 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.123 * * [misc]simplify: iters left: 5 (14 enodes) 1544087822.127 * * [misc]simplify: iters left: 4 (16 enodes) 1544087822.131 * * [misc]simplify: iters left: 3 (17 enodes) 1544087822.136 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544087822.136 * [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))))))) 1544087822.136 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087822.136 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.139 * * [misc]simplify: iters left: 5 (13 enodes) 1544087822.143 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087822.143 * [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)))))) 1544087822.143 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1544087822.143 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087822.143 * * [misc]simplify: iters left: 6 (11 enodes) 1544087822.147 * * [misc]simplify: iters left: 5 (15 enodes) 1544087822.151 * * [misc]simplify: iters left: 4 (20 enodes) 1544087822.154 * * [misc]simplify: iters left: 3 (21 enodes) 1544087822.156 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087822.157 * [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))))))) 1544087822.157 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087822.157 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.158 * * [misc]simplify: iters left: 5 (11 enodes) 1544087822.159 * * [misc]simplify: iters left: 4 (14 enodes) 1544087822.161 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087822.161 * [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))))))) 1544087822.161 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1544087822.161 * [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)))))) 1544087822.162 * * [misc]simplify: iters left: 6 (14 enodes) 1544087822.164 * * [misc]simplify: iters left: 5 (23 enodes) 1544087822.167 * * [misc]simplify: iters left: 4 (35 enodes) 1544087822.172 * * [misc]simplify: iters left: 3 (38 enodes) 1544087822.177 * * [misc]simplify: iters left: 2 (41 enodes) 1544087822.182 * [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)))))) 1544087822.182 * [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)))))))) 1544087822.182 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.182 * * [misc]simplify: iters left: 6 (12 enodes) 1544087822.184 * * [misc]simplify: iters left: 5 (15 enodes) 1544087822.186 * * [misc]simplify: iters left: 4 (18 enodes) 1544087822.188 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.188 * [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)))))))) 1544087822.188 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1544087822.189 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.189 * * [misc]simplify: iters left: 6 (13 enodes) 1544087822.190 * * [misc]simplify: iters left: 5 (18 enodes) 1544087822.193 * * [misc]simplify: iters left: 4 (23 enodes) 1544087822.196 * * [misc]simplify: iters left: 3 (24 enodes) 1544087822.199 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.199 * [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)))))))) 1544087822.199 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.199 * * [misc]simplify: iters left: 6 (12 enodes) 1544087822.203 * * [misc]simplify: iters left: 5 (15 enodes) 1544087822.207 * * [misc]simplify: iters left: 4 (18 enodes) 1544087822.212 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.212 * [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)))))))) 1544087822.212 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1544087822.212 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1544087822.212 * * [misc]simplify: iters left: 6 (6 enodes) 1544087822.214 * * [misc]simplify: iters left: 5 (10 enodes) 1544087822.218 * * [misc]simplify: iters left: 4 (16 enodes) 1544087822.222 * * [misc]simplify: iters left: 3 (18 enodes) 1544087822.225 * * [misc]simplify: iters left: 2 (23 enodes) 1544087822.231 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544087822.231 * [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))))))) 1544087822.231 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.231 * * [misc]simplify: iters left: 6 (11 enodes) 1544087822.234 * * [misc]simplify: iters left: 5 (14 enodes) 1544087822.238 * * [misc]simplify: iters left: 4 (17 enodes) 1544087822.241 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.241 * [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))))))) 1544087822.241 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1544087822.241 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544087822.241 * * [misc]simplify: iters left: 5 (9 enodes) 1544087822.242 * * [misc]simplify: iters left: 4 (11 enodes) 1544087822.244 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087822.244 * [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))))))) 1544087822.244 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087822.244 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.245 * * [misc]simplify: iters left: 5 (13 enodes) 1544087822.247 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087822.247 * [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)))))) 1544087822.247 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1544087822.247 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544087822.247 * * [misc]simplify: iters left: 5 (9 enodes) 1544087822.249 * * [misc]simplify: iters left: 4 (11 enodes) 1544087822.250 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087822.250 * [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))))))) 1544087822.250 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087822.250 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.252 * * [misc]simplify: iters left: 5 (13 enodes) 1544087822.253 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087822.253 * [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)))))) 1544087822.253 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1544087822.254 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544087822.254 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.255 * * [misc]simplify: iters left: 5 (12 enodes) 1544087822.257 * * [misc]simplify: iters left: 4 (15 enodes) 1544087822.258 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544087822.259 * [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))))))) 1544087822.259 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087822.259 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.260 * * [misc]simplify: iters left: 5 (11 enodes) 1544087822.261 * * [misc]simplify: iters left: 4 (14 enodes) 1544087822.263 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087822.263 * [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))))))) 1544087822.263 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1544087822.263 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087822.264 * * [misc]simplify: iters left: 6 (13 enodes) 1544087822.266 * * [misc]simplify: iters left: 5 (18 enodes) 1544087822.268 * * [misc]simplify: iters left: 4 (21 enodes) 1544087822.271 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087822.271 * [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)))))))) 1544087822.271 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.271 * * [misc]simplify: iters left: 6 (12 enodes) 1544087822.275 * * [misc]simplify: iters left: 5 (15 enodes) 1544087822.279 * * [misc]simplify: iters left: 4 (18 enodes) 1544087822.284 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.284 * [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)))))))) 1544087822.284 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1544087822.284 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.284 * * [misc]simplify: iters left: 6 (12 enodes) 1544087822.288 * * [misc]simplify: iters left: 5 (15 enodes) 1544087822.292 * * [misc]simplify: iters left: 4 (18 enodes) 1544087822.297 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.297 * [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)))))))) 1544087822.297 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.297 * * [misc]simplify: iters left: 6 (12 enodes) 1544087822.300 * * [misc]simplify: iters left: 5 (15 enodes) 1544087822.302 * * [misc]simplify: iters left: 4 (18 enodes) 1544087822.304 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.304 * [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)))))))) 1544087822.305 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1544087822.305 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1544087822.305 * * [misc]simplify: iters left: 4 (5 enodes) 1544087822.305 * * [misc]simplify: iters left: 3 (7 enodes) 1544087822.307 * * [misc]simplify: iters left: 2 (9 enodes) 1544087822.307 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544087822.307 * [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))))))) 1544087822.308 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.308 * * [misc]simplify: iters left: 6 (11 enodes) 1544087822.309 * * [misc]simplify: iters left: 5 (14 enodes) 1544087822.311 * * [misc]simplify: iters left: 4 (17 enodes) 1544087822.313 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.313 * [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))))))) 1544087822.313 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1544087822.313 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544087822.314 * * [misc]simplify: iters left: 5 (7 enodes) 1544087822.315 * * [misc]simplify: iters left: 4 (11 enodes) 1544087822.316 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544087822.316 * [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))))))) 1544087822.316 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087822.316 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.318 * * [misc]simplify: iters left: 5 (12 enodes) 1544087822.320 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087822.320 * [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)))))) 1544087822.320 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1544087822.320 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544087822.320 * * [misc]simplify: iters left: 5 (7 enodes) 1544087822.321 * * [misc]simplify: iters left: 4 (11 enodes) 1544087822.322 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544087822.322 * [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))))))) 1544087822.322 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087822.323 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.324 * * [misc]simplify: iters left: 5 (12 enodes) 1544087822.325 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087822.325 * [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)))))) 1544087822.325 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1544087822.326 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1544087822.326 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.327 * * [misc]simplify: iters left: 5 (13 enodes) 1544087822.329 * * [misc]simplify: iters left: 4 (16 enodes) 1544087822.331 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1544087822.331 * [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))))))) 1544087822.331 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087822.331 * * [misc]simplify: iters left: 6 (8 enodes) 1544087822.333 * * [misc]simplify: iters left: 5 (10 enodes) 1544087822.335 * * [misc]simplify: iters left: 4 (13 enodes) 1544087822.339 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087822.339 * [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))))))) 1544087822.339 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1544087822.339 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087822.339 * * [misc]simplify: iters left: 6 (12 enodes) 1544087822.343 * * [misc]simplify: iters left: 5 (19 enodes) 1544087822.346 * * [misc]simplify: iters left: 4 (22 enodes) 1544087822.349 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087822.349 * [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)))))))) 1544087822.349 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.349 * * [misc]simplify: iters left: 6 (11 enodes) 1544087822.350 * * [misc]simplify: iters left: 5 (14 enodes) 1544087822.352 * * [misc]simplify: iters left: 4 (17 enodes) 1544087822.355 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.355 * [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)))))))) 1544087822.355 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1544087822.355 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.355 * * [misc]simplify: iters left: 6 (11 enodes) 1544087822.357 * * [misc]simplify: iters left: 5 (16 enodes) 1544087822.359 * * [misc]simplify: iters left: 4 (19 enodes) 1544087822.361 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087822.361 * [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)))))))) 1544087822.361 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.361 * * [misc]simplify: iters left: 6 (11 enodes) 1544087822.363 * * [misc]simplify: iters left: 5 (14 enodes) 1544087822.365 * * [misc]simplify: iters left: 4 (17 enodes) 1544087822.367 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087822.367 * [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)))))))) 1544087822.367 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1544087822.367 * [enter]simplify: Simplifying (/ 1 1) 1544087822.367 * * [misc]simplify: iters left: 2 (2 enodes) 1544087822.367 * * [misc]simplify: iters left: 1 (4 enodes) 1544087822.368 * [exit]simplify: Simplified to 1 1544087822.368 * [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))))))) 1544087822.368 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.368 * * [misc]simplify: iters left: 6 (10 enodes) 1544087822.369 * * [misc]simplify: iters left: 5 (13 enodes) 1544087822.371 * * [misc]simplify: iters left: 4 (16 enodes) 1544087822.373 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.373 * [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))))))) 1544087822.373 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1544087822.373 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1544087822.373 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1544087822.373 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1544087822.374 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087822.374 * * [misc]simplify: iters left: 5 (7 enodes) 1544087822.375 * * [misc]simplify: iters left: 4 (10 enodes) 1544087822.377 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087822.377 * [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)))))) 1544087822.377 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1544087822.377 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087822.377 * * [misc]simplify: iters left: 5 (7 enodes) 1544087822.379 * * [misc]simplify: iters left: 4 (10 enodes) 1544087822.382 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087822.382 * [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)))))) 1544087822.382 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1544087822.382 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1544087822.382 * * [misc]simplify: iters left: 5 (6 enodes) 1544087822.384 * * [misc]simplify: iters left: 4 (8 enodes) 1544087822.386 * * [misc]simplify: iters left: 3 (11 enodes) 1544087822.389 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1544087822.389 * [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)))))) 1544087822.389 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1544087822.390 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.390 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.393 * * [misc]simplify: iters left: 5 (12 enodes) 1544087822.396 * * [misc]simplify: iters left: 4 (15 enodes) 1544087822.400 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.400 * [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))))))) 1544087822.400 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1544087822.400 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.400 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.403 * * [misc]simplify: iters left: 5 (12 enodes) 1544087822.407 * * [misc]simplify: iters left: 4 (15 enodes) 1544087822.410 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087822.410 * [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))))))) 1544087822.410 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1544087822.411 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544087822.411 * * [misc]simplify: iters left: 5 (8 enodes) 1544087822.413 * * [misc]simplify: iters left: 4 (11 enodes) 1544087822.416 * * [misc]simplify: iters left: 3 (14 enodes) 1544087822.420 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544087822.420 * [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)))))) 1544087822.420 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1544087822.421 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544087822.421 * * [misc]simplify: iters left: 4 (4 enodes) 1544087822.422 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544087822.422 * [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)))))) 1544087822.422 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1544087822.422 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544087822.422 * * [misc]simplify: iters left: 2 (3 enodes) 1544087822.423 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544087822.423 * [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)))))) 1544087822.423 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1544087822.423 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1544087822.423 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087822.423 * * [misc]simplify: iters left: 3 (6 enodes) 1544087822.425 * * [misc]simplify: iters left: 2 (7 enodes) 1544087822.427 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087822.427 * [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))))) 1544087822.427 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1544087822.427 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544087822.427 * * [misc]simplify: iters left: 6 (9 enodes) 1544087822.431 * * [misc]simplify: iters left: 5 (16 enodes) 1544087822.435 * * [misc]simplify: iters left: 4 (32 enodes) 1544087822.441 * * [misc]simplify: iters left: 3 (68 enodes) 1544087822.457 * * [misc]simplify: iters left: 2 (171 enodes) 1544087822.511 * * [misc]simplify: iters left: 1 (342 enodes) 1544087822.649 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544087822.649 * [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))))))) 1544087822.649 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1544087822.649 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1544087822.649 * [enter]simplify: Simplifying (* n 2) 1544087822.649 * * [misc]simplify: iters left: 2 (3 enodes) 1544087822.650 * * [misc]simplify: iters left: 1 (4 enodes) 1544087822.650 * [exit]simplify: Simplified to (* n 2) 1544087822.650 * [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))))))) 1544087822.650 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1544087822.650 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087822.650 * * [misc]simplify: iters left: 3 (6 enodes) 1544087822.651 * * [misc]simplify: iters left: 2 (7 enodes) 1544087822.652 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087822.652 * [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)))))) 1544087822.652 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1544087822.652 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544087822.652 * * [misc]simplify: iters left: 5 (6 enodes) 1544087822.653 * * [misc]simplify: iters left: 4 (8 enodes) 1544087822.654 * * [misc]simplify: iters left: 3 (11 enodes) 1544087822.656 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544087822.656 * [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))))))) 1544087822.656 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1544087822.656 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544087822.656 * * [misc]simplify: iters left: 5 (6 enodes) 1544087822.657 * * [misc]simplify: iters left: 4 (8 enodes) 1544087822.658 * * [misc]simplify: iters left: 3 (11 enodes) 1544087822.659 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544087822.659 * [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))))))) 1544087822.660 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1544087822.660 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544087822.660 * * [misc]simplify: iters left: 4 (5 enodes) 1544087822.660 * * [misc]simplify: iters left: 3 (7 enodes) 1544087822.661 * * [misc]simplify: iters left: 2 (10 enodes) 1544087822.663 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544087822.663 * [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)))))) 1544087822.663 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1544087822.663 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087822.663 * * [misc]simplify: iters left: 5 (7 enodes) 1544087822.665 * * [misc]simplify: iters left: 4 (10 enodes) 1544087822.668 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087822.668 * [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))))))) 1544087822.668 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1544087822.668 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087822.668 * * [misc]simplify: iters left: 5 (7 enodes) 1544087822.670 * * [misc]simplify: iters left: 4 (10 enodes) 1544087822.673 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087822.673 * [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))))))) 1544087822.673 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1544087822.673 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544087822.673 * * [misc]simplify: iters left: 5 (7 enodes) 1544087822.675 * * [misc]simplify: iters left: 4 (9 enodes) 1544087822.678 * * [misc]simplify: iters left: 3 (12 enodes) 1544087822.681 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544087822.681 * [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))))))) 1544087822.681 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1544087822.681 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1544087822.681 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1544087822.682 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1544087822.682 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1544087822.682 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1544087822.682 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # 1544087822.682 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1544087822.682 * [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)))) 1544087822.682 * * [misc]simplify: iters left: 6 (18 enodes) 1544087822.689 * * [misc]simplify: iters left: 5 (39 enodes) 1544087822.704 * * [misc]simplify: iters left: 4 (104 enodes) 1544087822.748 * * [misc]simplify: iters left: 3 (275 enodes) 1544087822.871 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1544087822.871 * [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)))))) 1544087822.871 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1544087822.871 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544087822.871 * * [misc]simplify: iters left: 5 (6 enodes) 1544087822.873 * * [misc]simplify: iters left: 4 (9 enodes) 1544087822.877 * * [misc]simplify: iters left: 3 (17 enodes) 1544087822.881 * * [misc]simplify: iters left: 2 (20 enodes) 1544087822.886 * * [misc]simplify: iters left: 1 (24 enodes) 1544087822.895 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544087822.895 * [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)))))) 1544087822.895 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1544087822.895 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544087822.896 * * [misc]simplify: iters left: 5 (6 enodes) 1544087822.897 * * [misc]simplify: iters left: 4 (9 enodes) 1544087822.901 * * [misc]simplify: iters left: 3 (17 enodes) 1544087822.905 * * [misc]simplify: iters left: 2 (20 enodes) 1544087822.910 * * [misc]simplify: iters left: 1 (24 enodes) 1544087822.918 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544087822.919 * [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)))))) 1544087822.919 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1544087822.919 * [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))))))))))))))) 1544087822.919 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087822.919 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1544087822.919 * [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)))))))) 1544087822.919 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087822.919 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1544087822.920 * [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)))))))) 1544087822.920 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087822.920 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1544087822.920 * [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)))))))))))) 1544087822.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544087822.920 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1544087822.920 * [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))))))))))) 1544087822.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544087822.920 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1544087822.921 * [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))))))))) 1544087822.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544087822.921 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1544087822.921 * [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))))) 1544087822.921 * * [misc]simplify: iters left: 6 (35 enodes) 1544087822.938 * * [misc]simplify: iters left: 5 (99 enodes) 1544087822.967 * * [misc]simplify: iters left: 4 (298 enodes) 1544087823.132 * [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))))))) 1544087823.132 * [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)))))))))) 1544087823.133 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1544087823.133 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544087823.133 * * [misc]simplify: iters left: 6 (13 enodes) 1544087823.138 * * [misc]simplify: iters left: 5 (27 enodes) 1544087823.147 * * [misc]simplify: iters left: 4 (53 enodes) 1544087823.169 * * [misc]simplify: iters left: 3 (116 enodes) 1544087823.227 * * [misc]simplify: iters left: 2 (362 enodes) 1544087823.508 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1544087823.508 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1544087823.509 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1544087823.509 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544087823.509 * * [misc]simplify: iters left: 6 (13 enodes) 1544087823.511 * * [misc]simplify: iters left: 5 (24 enodes) 1544087823.516 * * [misc]simplify: iters left: 4 (54 enodes) 1544087823.527 * * [misc]simplify: iters left: 3 (143 enodes) 1544087823.589 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1544087823.589 * [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))))))) 1544087823.589 * * * [misc]progress: adding candidates to table 1544087826.985 * * [misc]progress: iteration 3 / 4 1544087826.985 * * * [misc]progress: picking best candidate 1544087827.014 * * * * [misc]pick: Picked # 1544087827.015 * * * [misc]progress: localizing error 1544087827.039 * * * [misc]progress: generating rewritten candidates 1544087827.039 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1544087827.070 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1544087827.082 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1544087827.086 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1544087827.098 * * * [misc]progress: generating series expansions 1544087827.098 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1544087827.099 * [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))) 1544087827.099 * [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 1544087827.099 * [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 1544087827.099 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544087827.099 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087827.100 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087827.100 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087827.100 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087827.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.100 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087827.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.100 * [misc]taylor: Taking taylor expansion of k in n 1544087827.100 * [misc]backup-simplify: Simplify k into k 1544087827.100 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.100 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.100 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.100 * [misc]backup-simplify: Simplify 2 into 2 1544087827.100 * [misc]taylor: Taking taylor expansion of n in n 1544087827.100 * [misc]backup-simplify: Simplify 0 into 0 1544087827.100 * [misc]backup-simplify: Simplify 1 into 1 1544087827.100 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.100 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.101 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.101 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087827.101 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087827.101 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087827.101 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.101 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087827.102 * [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)))) 1544087827.102 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544087827.102 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544087827.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544087827.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087827.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.102 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087827.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.102 * [misc]taylor: Taking taylor expansion of k in n 1544087827.102 * [misc]backup-simplify: Simplify k into k 1544087827.102 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.102 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.102 * [misc]backup-simplify: Simplify PI into PI 1544087827.102 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.102 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087827.102 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087827.102 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087827.103 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544087827.103 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544087827.103 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544087827.103 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.103 * [misc]taylor: Taking taylor expansion of k in n 1544087827.103 * [misc]backup-simplify: Simplify k into k 1544087827.103 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.103 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544087827.103 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.104 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544087827.104 * [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 1544087827.104 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.104 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.104 * [misc]taylor: Taking taylor expansion of k in k 1544087827.104 * [misc]backup-simplify: Simplify 0 into 0 1544087827.104 * [misc]backup-simplify: Simplify 1 into 1 1544087827.104 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087827.104 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.104 * [misc]backup-simplify: Simplify 2 into 2 1544087827.104 * [misc]taylor: Taking taylor expansion of n in k 1544087827.104 * [misc]backup-simplify: Simplify n into n 1544087827.104 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087827.104 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087827.104 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.105 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.105 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.105 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087827.105 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087827.105 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087827.105 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087827.105 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087827.105 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.105 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.105 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.105 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.105 * [misc]taylor: Taking taylor expansion of k in k 1544087827.105 * [misc]backup-simplify: Simplify 0 into 0 1544087827.105 * [misc]backup-simplify: Simplify 1 into 1 1544087827.105 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.105 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.105 * [misc]backup-simplify: Simplify PI into PI 1544087827.106 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.106 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.106 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.106 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.106 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.107 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087827.107 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087827.107 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.107 * [misc]taylor: Taking taylor expansion of k in k 1544087827.107 * [misc]backup-simplify: Simplify 0 into 0 1544087827.107 * [misc]backup-simplify: Simplify 1 into 1 1544087827.107 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.108 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.108 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.108 * [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 1544087827.108 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.108 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.108 * [misc]taylor: Taking taylor expansion of k in k 1544087827.108 * [misc]backup-simplify: Simplify 0 into 0 1544087827.108 * [misc]backup-simplify: Simplify 1 into 1 1544087827.108 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087827.108 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.108 * [misc]backup-simplify: Simplify 2 into 2 1544087827.108 * [misc]taylor: Taking taylor expansion of n in k 1544087827.109 * [misc]backup-simplify: Simplify n into n 1544087827.109 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087827.109 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087827.109 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.109 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.109 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.109 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087827.109 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087827.109 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087827.109 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087827.109 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087827.109 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.109 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.110 * [misc]taylor: Taking taylor expansion of k in k 1544087827.110 * [misc]backup-simplify: Simplify 0 into 0 1544087827.110 * [misc]backup-simplify: Simplify 1 into 1 1544087827.110 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.110 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.110 * [misc]backup-simplify: Simplify PI into PI 1544087827.110 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.110 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.110 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.110 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.111 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.111 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087827.111 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087827.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.112 * [misc]taylor: Taking taylor expansion of k in k 1544087827.112 * [misc]backup-simplify: Simplify 0 into 0 1544087827.112 * [misc]backup-simplify: Simplify 1 into 1 1544087827.112 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.112 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.112 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.113 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544087827.113 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544087827.113 * [misc]taylor: Taking taylor expansion of 0 in n 1544087827.113 * [misc]backup-simplify: Simplify 0 into 0 1544087827.113 * [misc]backup-simplify: Simplify 0 into 0 1544087827.115 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087827.115 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087827.116 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.116 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.117 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544087827.120 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544087827.120 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087827.121 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087827.121 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087827.121 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.121 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087827.122 * [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)))) 1544087827.123 * [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)))))) 1544087827.125 * [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))))) 1544087827.125 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544087827.125 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544087827.125 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.125 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.125 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544087827.125 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.125 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.125 * [misc]backup-simplify: Simplify 2 into 2 1544087827.125 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.125 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.125 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087827.126 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087827.126 * [misc]taylor: Taking taylor expansion of n in n 1544087827.126 * [misc]backup-simplify: Simplify 0 into 0 1544087827.126 * [misc]backup-simplify: Simplify 1 into 1 1544087827.126 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.126 * [misc]backup-simplify: Simplify PI into PI 1544087827.126 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087827.127 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087827.127 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.127 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.127 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087827.128 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.128 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.128 * [misc]backup-simplify: Simplify 0 into 0 1544087827.128 * [misc]backup-simplify: Simplify 0 into 0 1544087827.128 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087827.130 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087827.134 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087827.134 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.134 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.135 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.136 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544087827.140 * [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))) 1544087827.141 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544087827.142 * [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 1544087827.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.143 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.143 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544087827.144 * [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))) 1544087827.147 * [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))))))) 1544087827.151 * [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))))))))) 1544087827.151 * [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 1544087827.151 * [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 1544087827.151 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544087827.151 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.152 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.152 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544087827.152 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544087827.152 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.152 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.152 * [misc]backup-simplify: Simplify 2 into 2 1544087827.152 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.152 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.152 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.152 * [misc]backup-simplify: Simplify PI into PI 1544087827.152 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.152 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087827.152 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087827.152 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.152 * [misc]backup-simplify: Simplify PI into PI 1544087827.152 * [misc]taylor: Taking taylor expansion of n in n 1544087827.153 * [misc]backup-simplify: Simplify 0 into 0 1544087827.153 * [misc]backup-simplify: Simplify 1 into 1 1544087827.153 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087827.153 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087827.154 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.154 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.154 * [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 1544087827.154 * [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 1544087827.154 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544087827.154 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.154 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.154 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544087827.154 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.154 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.154 * [misc]backup-simplify: Simplify 2 into 2 1544087827.154 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.155 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.155 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087827.155 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087827.155 * [misc]taylor: Taking taylor expansion of n in n 1544087827.155 * [misc]backup-simplify: Simplify 0 into 0 1544087827.155 * [misc]backup-simplify: Simplify 1 into 1 1544087827.155 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.155 * [misc]backup-simplify: Simplify PI into PI 1544087827.155 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087827.156 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087827.156 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.156 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.156 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544087827.156 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544087827.156 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.156 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.156 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544087827.156 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544087827.156 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.156 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.156 * [misc]backup-simplify: Simplify 2 into 2 1544087827.157 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.157 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.157 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.157 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.157 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.157 * [misc]backup-simplify: Simplify 2 into 2 1544087827.157 * [misc]taylor: Taking taylor expansion of n in n 1544087827.157 * [misc]backup-simplify: Simplify 0 into 0 1544087827.157 * [misc]backup-simplify: Simplify 1 into 1 1544087827.157 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.157 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.158 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.158 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087827.158 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087827.158 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.158 * [misc]backup-simplify: Simplify PI into PI 1544087827.158 * [misc]taylor: Taking taylor expansion of n in n 1544087827.158 * [misc]backup-simplify: Simplify 0 into 0 1544087827.158 * [misc]backup-simplify: Simplify 1 into 1 1544087827.158 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087827.159 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087827.159 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.159 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.160 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544087827.161 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544087827.161 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.161 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087827.161 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.162 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.162 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544087827.162 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544087827.162 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.163 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.163 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.163 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.163 * [misc]backup-simplify: Simplify 0 into 0 1544087827.164 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087827.166 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087827.167 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087827.168 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087827.168 * [misc]backup-simplify: Simplify 0 into 0 1544087827.169 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.170 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087827.176 * [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 1544087827.177 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087827.177 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.179 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544087827.186 * [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))) 1544087827.186 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544087827.188 * [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 1544087827.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087827.189 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544087827.190 * [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))) 1544087827.196 * [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))))))))) 1544087827.201 * [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))))))))))))))) 1544087827.201 * [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 1544087827.201 * [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 1544087827.201 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544087827.201 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.201 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.201 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544087827.201 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544087827.201 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.201 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.201 * [misc]backup-simplify: Simplify 2 into 2 1544087827.202 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.202 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.202 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.202 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.202 * [misc]backup-simplify: Simplify PI into PI 1544087827.202 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.202 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087827.202 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087827.202 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.202 * [misc]backup-simplify: Simplify PI into PI 1544087827.202 * [misc]taylor: Taking taylor expansion of n in n 1544087827.202 * [misc]backup-simplify: Simplify 0 into 0 1544087827.202 * [misc]backup-simplify: Simplify 1 into 1 1544087827.202 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087827.203 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087827.203 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.203 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.203 * [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 1544087827.203 * [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 1544087827.203 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544087827.203 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.203 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.203 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544087827.203 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544087827.203 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.203 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.203 * [misc]backup-simplify: Simplify 2 into 2 1544087827.203 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.203 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.203 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544087827.204 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.204 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.204 * [misc]backup-simplify: Simplify PI into PI 1544087827.204 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.204 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087827.204 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087827.204 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.204 * [misc]backup-simplify: Simplify PI into PI 1544087827.204 * [misc]taylor: Taking taylor expansion of n in n 1544087827.204 * [misc]backup-simplify: Simplify 0 into 0 1544087827.204 * [misc]backup-simplify: Simplify 1 into 1 1544087827.204 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087827.204 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087827.204 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.205 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.205 * [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 1544087827.205 * [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 1544087827.205 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544087827.205 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.205 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.205 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544087827.205 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544087827.205 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.205 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.205 * [misc]backup-simplify: Simplify 2 into 2 1544087827.205 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.205 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.205 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544087827.205 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.205 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.205 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.205 * [misc]backup-simplify: Simplify 2 into 2 1544087827.205 * [misc]taylor: Taking taylor expansion of n in n 1544087827.205 * [misc]backup-simplify: Simplify 0 into 0 1544087827.205 * [misc]backup-simplify: Simplify 1 into 1 1544087827.205 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.206 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.206 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.206 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.206 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087827.206 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087827.206 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.206 * [misc]backup-simplify: Simplify PI into PI 1544087827.206 * [misc]taylor: Taking taylor expansion of n in n 1544087827.206 * [misc]backup-simplify: Simplify 0 into 0 1544087827.206 * [misc]backup-simplify: Simplify 1 into 1 1544087827.206 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087827.206 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087827.207 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.207 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.207 * [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 1544087827.207 * [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 1544087827.207 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544087827.207 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.207 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.207 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544087827.207 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544087827.207 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.207 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.207 * [misc]backup-simplify: Simplify 2 into 2 1544087827.207 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.207 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.207 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544087827.207 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.207 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.207 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.207 * [misc]backup-simplify: Simplify 2 into 2 1544087827.207 * [misc]taylor: Taking taylor expansion of n in n 1544087827.207 * [misc]backup-simplify: Simplify 0 into 0 1544087827.207 * [misc]backup-simplify: Simplify 1 into 1 1544087827.208 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.208 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.208 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.208 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.208 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.208 * [misc]backup-simplify: Simplify PI into PI 1544087827.208 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.208 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087827.208 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087827.208 * [misc]taylor: Taking taylor expansion of n in n 1544087827.208 * [misc]backup-simplify: Simplify 0 into 0 1544087827.208 * [misc]backup-simplify: Simplify 1 into 1 1544087827.208 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.208 * [misc]backup-simplify: Simplify PI into PI 1544087827.208 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087827.209 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087827.209 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.209 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.209 * [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 1544087827.209 * [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 1544087827.209 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544087827.209 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.209 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.209 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544087827.209 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.209 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.209 * [misc]backup-simplify: Simplify 2 into 2 1544087827.209 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.210 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.210 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544087827.210 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544087827.210 * [misc]taylor: Taking taylor expansion of n in n 1544087827.210 * [misc]backup-simplify: Simplify 0 into 0 1544087827.210 * [misc]backup-simplify: Simplify 1 into 1 1544087827.210 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.210 * [misc]backup-simplify: Simplify PI into PI 1544087827.210 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544087827.210 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544087827.210 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.211 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.211 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.211 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.211 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.211 * [misc]backup-simplify: Simplify 2 into 2 1544087827.211 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.211 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.211 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.211 * [misc]backup-simplify: Simplify 2 into 2 1544087827.211 * [misc]taylor: Taking taylor expansion of n in n 1544087827.211 * [misc]backup-simplify: Simplify 0 into 0 1544087827.211 * [misc]backup-simplify: Simplify 1 into 1 1544087827.211 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.211 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.211 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.211 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544087827.211 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.211 * [misc]backup-simplify: Simplify PI into PI 1544087827.212 * [misc]taylor: Taking taylor expansion of n in n 1544087827.212 * [misc]backup-simplify: Simplify 0 into 0 1544087827.212 * [misc]backup-simplify: Simplify 1 into 1 1544087827.212 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544087827.212 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544087827.212 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.212 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544087827.213 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544087827.213 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544087827.214 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.214 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544087827.215 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544087827.215 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544087827.215 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.216 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.216 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.216 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544087827.216 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544087827.217 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544087827.217 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.217 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.217 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544087827.218 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544087827.218 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544087827.218 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.218 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087827.218 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.219 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.219 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544087827.219 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544087827.219 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087827.219 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.220 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.220 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.220 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.220 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.220 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.220 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.220 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.221 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.221 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.221 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.221 * [misc]backup-simplify: Simplify 0 into 0 1544087827.223 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087827.224 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544087827.226 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544087827.228 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544087827.230 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087827.232 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544087827.232 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.234 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087827.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.235 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544087827.236 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1544087827.238 * [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)))))) 1544087827.239 * [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)))))) 1544087827.242 * [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))))))) 1544087827.246 * [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))))))) 1544087827.249 * [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))))))))) 1544087827.253 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1544087827.257 * [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))))))))) 1544087827.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544087827.259 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544087827.259 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087827.261 * [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)))) 1544087827.263 * [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)))) 1544087827.264 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544087827.265 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544087827.270 * [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))))))))))))))) 1544087827.271 * [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)) 1544087827.271 * [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 1544087827.271 * [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 1544087827.271 * [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 1544087827.271 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.271 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087827.271 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087827.271 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.271 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.271 * [misc]taylor: Taking taylor expansion of k in n 1544087827.271 * [misc]backup-simplify: Simplify k into k 1544087827.271 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.271 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.271 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.271 * [misc]backup-simplify: Simplify PI into PI 1544087827.271 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.271 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.272 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.272 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.272 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087827.272 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.272 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.272 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.272 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.272 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.272 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of k in n 1544087827.272 * [misc]backup-simplify: Simplify k into k 1544087827.272 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.272 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.272 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.272 * [misc]backup-simplify: Simplify 2 into 2 1544087827.272 * [misc]taylor: Taking taylor expansion of n in n 1544087827.272 * [misc]backup-simplify: Simplify 0 into 0 1544087827.272 * [misc]backup-simplify: Simplify 1 into 1 1544087827.272 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.273 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.273 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.273 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.273 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.273 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.273 * [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))) 1544087827.273 * [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)))) 1544087827.273 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544087827.273 * [misc]taylor: Taking taylor expansion of k in n 1544087827.273 * [misc]backup-simplify: Simplify k into k 1544087827.273 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544087827.274 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544087827.274 * [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 1544087827.274 * [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 1544087827.274 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.274 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087827.274 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087827.274 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.274 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.274 * [misc]taylor: Taking taylor expansion of k in k 1544087827.274 * [misc]backup-simplify: Simplify 0 into 0 1544087827.274 * [misc]backup-simplify: Simplify 1 into 1 1544087827.274 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.274 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.274 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.274 * [misc]backup-simplify: Simplify PI into PI 1544087827.274 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.274 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.274 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.274 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.275 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087827.275 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.275 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.275 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.275 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of k in k 1544087827.275 * [misc]backup-simplify: Simplify 0 into 0 1544087827.275 * [misc]backup-simplify: Simplify 1 into 1 1544087827.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.275 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087827.275 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.275 * [misc]backup-simplify: Simplify 2 into 2 1544087827.275 * [misc]taylor: Taking taylor expansion of n in k 1544087827.275 * [misc]backup-simplify: Simplify n into n 1544087827.275 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087827.275 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087827.276 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.276 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.276 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.276 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087827.276 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.276 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087827.276 * [misc]taylor: Taking taylor expansion of k in k 1544087827.276 * [misc]backup-simplify: Simplify 0 into 0 1544087827.276 * [misc]backup-simplify: Simplify 1 into 1 1544087827.276 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.276 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.276 * [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 1544087827.276 * [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 1544087827.276 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.276 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087827.276 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087827.277 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.277 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.277 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.277 * [misc]taylor: Taking taylor expansion of k in k 1544087827.277 * [misc]backup-simplify: Simplify 0 into 0 1544087827.277 * [misc]backup-simplify: Simplify 1 into 1 1544087827.277 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.277 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.277 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.277 * [misc]backup-simplify: Simplify PI into PI 1544087827.277 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.277 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.277 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.277 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.278 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087827.278 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.278 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.278 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of k in k 1544087827.278 * [misc]backup-simplify: Simplify 0 into 0 1544087827.278 * [misc]backup-simplify: Simplify 1 into 1 1544087827.278 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.278 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087827.278 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.278 * [misc]backup-simplify: Simplify 2 into 2 1544087827.278 * [misc]taylor: Taking taylor expansion of n in k 1544087827.278 * [misc]backup-simplify: Simplify n into n 1544087827.278 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087827.278 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087827.278 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.278 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.279 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.279 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087827.279 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.279 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087827.279 * [misc]taylor: Taking taylor expansion of k in k 1544087827.279 * [misc]backup-simplify: Simplify 0 into 0 1544087827.279 * [misc]backup-simplify: Simplify 1 into 1 1544087827.279 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.280 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.280 * [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))))) 1544087827.280 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544087827.280 * [misc]taylor: Taking taylor expansion of 0 in n 1544087827.280 * [misc]backup-simplify: Simplify 0 into 0 1544087827.280 * [misc]backup-simplify: Simplify 0 into 0 1544087827.281 * [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 1544087827.281 * [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))))))) 1544087827.281 * [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 1544087827.281 * [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 1544087827.281 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.281 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.281 * [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 1544087827.281 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.281 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087827.281 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087827.281 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.282 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.282 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.282 * [misc]taylor: Taking taylor expansion of k in n 1544087827.282 * [misc]backup-simplify: Simplify k into k 1544087827.282 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.282 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.282 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.282 * [misc]backup-simplify: Simplify PI into PI 1544087827.282 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.282 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.282 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.282 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.283 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087827.283 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.283 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.283 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.283 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.283 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.283 * [misc]taylor: Taking taylor expansion of k in n 1544087827.283 * [misc]backup-simplify: Simplify k into k 1544087827.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.283 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.283 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.284 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.284 * [misc]backup-simplify: Simplify 2 into 2 1544087827.284 * [misc]taylor: Taking taylor expansion of n in n 1544087827.284 * [misc]backup-simplify: Simplify 0 into 0 1544087827.284 * [misc]backup-simplify: Simplify 1 into 1 1544087827.284 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.284 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.284 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.284 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.284 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.285 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.285 * [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))) 1544087827.285 * [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)))) 1544087827.286 * [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))))) 1544087827.286 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544087827.287 * [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))))))) 1544087827.287 * [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))))))) 1544087827.287 * [misc]backup-simplify: Simplify 0 into 0 1544087827.288 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087827.289 * [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 1544087827.289 * [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))))))) 1544087827.289 * [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 1544087827.290 * [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 1544087827.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.290 * [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 1544087827.290 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087827.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087827.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.290 * [misc]taylor: Taking taylor expansion of k in n 1544087827.290 * [misc]backup-simplify: Simplify k into k 1544087827.290 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.290 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.290 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.290 * [misc]backup-simplify: Simplify PI into PI 1544087827.290 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.290 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.291 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.291 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.291 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087827.291 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.291 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.291 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.292 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.292 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.292 * [misc]taylor: Taking taylor expansion of k in n 1544087827.292 * [misc]backup-simplify: Simplify k into k 1544087827.292 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.292 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.292 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.292 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.292 * [misc]backup-simplify: Simplify 2 into 2 1544087827.292 * [misc]taylor: Taking taylor expansion of n in n 1544087827.292 * [misc]backup-simplify: Simplify 0 into 0 1544087827.292 * [misc]backup-simplify: Simplify 1 into 1 1544087827.292 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.292 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.292 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.293 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.293 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.293 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.293 * [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))) 1544087827.294 * [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)))) 1544087827.294 * [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))))) 1544087827.295 * [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)))))) 1544087827.295 * [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))))))) 1544087827.296 * [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))))))) 1544087827.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087827.298 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087827.298 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.299 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.299 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.299 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544087827.300 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.302 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087827.302 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.302 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.302 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.302 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.302 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544087827.303 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.303 * [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 1544087827.304 * [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 1544087827.304 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.304 * [misc]backup-simplify: Simplify 0 into 0 1544087827.304 * [misc]backup-simplify: Simplify 0 into 0 1544087827.306 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087827.306 * [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 1544087827.306 * [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))))))) 1544087827.306 * [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 1544087827.306 * [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 1544087827.306 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.306 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.306 * [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 1544087827.306 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.306 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087827.306 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087827.306 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.306 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.307 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.307 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.307 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.307 * [misc]taylor: Taking taylor expansion of k in n 1544087827.307 * [misc]backup-simplify: Simplify k into k 1544087827.307 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.307 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.307 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.307 * [misc]backup-simplify: Simplify PI into PI 1544087827.307 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.307 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.307 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.307 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.307 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087827.307 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.308 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.308 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of k in n 1544087827.308 * [misc]backup-simplify: Simplify k into k 1544087827.308 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.308 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.308 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.308 * [misc]backup-simplify: Simplify 2 into 2 1544087827.308 * [misc]taylor: Taking taylor expansion of n in n 1544087827.308 * [misc]backup-simplify: Simplify 0 into 0 1544087827.308 * [misc]backup-simplify: Simplify 1 into 1 1544087827.308 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.308 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.308 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.308 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.308 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.308 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.309 * [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))) 1544087827.309 * [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)))) 1544087827.309 * [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))))) 1544087827.309 * [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)))))) 1544087827.310 * [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))))))) 1544087827.310 * [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))))))) 1544087827.311 * [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)))))))) 1544087827.312 * [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))) 1544087827.312 * [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 1544087827.312 * [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 1544087827.312 * [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 1544087827.312 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.312 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of k in n 1544087827.312 * [misc]backup-simplify: Simplify k into k 1544087827.312 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.312 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.312 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.312 * [misc]backup-simplify: Simplify -2 into -2 1544087827.312 * [misc]taylor: Taking taylor expansion of n in n 1544087827.312 * [misc]backup-simplify: Simplify 0 into 0 1544087827.312 * [misc]backup-simplify: Simplify 1 into 1 1544087827.312 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.312 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.313 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.313 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.313 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.313 * [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))) 1544087827.313 * [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)))) 1544087827.313 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.313 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087827.313 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087827.313 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.313 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.313 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.313 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.313 * [misc]taylor: Taking taylor expansion of k in n 1544087827.313 * [misc]backup-simplify: Simplify k into k 1544087827.313 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.313 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.313 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.313 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.314 * [misc]backup-simplify: Simplify PI into PI 1544087827.314 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.314 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.314 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.314 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087827.314 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.314 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087827.314 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087827.314 * [misc]taylor: Taking taylor expansion of -1 in n 1544087827.314 * [misc]backup-simplify: Simplify -1 into -1 1544087827.314 * [misc]taylor: Taking taylor expansion of k in n 1544087827.314 * [misc]backup-simplify: Simplify k into k 1544087827.314 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087827.314 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087827.314 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087827.315 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087827.315 * [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))) 1544087827.315 * [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))) 1544087827.315 * [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 1544087827.315 * [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 1544087827.315 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.315 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087827.315 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087827.315 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.315 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.315 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.315 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.315 * [misc]taylor: Taking taylor expansion of k in k 1544087827.315 * [misc]backup-simplify: Simplify 0 into 0 1544087827.315 * [misc]backup-simplify: Simplify 1 into 1 1544087827.315 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.315 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.316 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of -2 in k 1544087827.316 * [misc]backup-simplify: Simplify -2 into -2 1544087827.316 * [misc]taylor: Taking taylor expansion of n in k 1544087827.316 * [misc]backup-simplify: Simplify n into n 1544087827.316 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087827.316 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087827.316 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.316 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.316 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087827.316 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.316 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.316 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of k in k 1544087827.316 * [misc]backup-simplify: Simplify 0 into 0 1544087827.316 * [misc]backup-simplify: Simplify 1 into 1 1544087827.316 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.316 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.316 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.316 * [misc]backup-simplify: Simplify PI into PI 1544087827.317 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.317 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.317 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.317 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.317 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.317 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087827.317 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087827.317 * [misc]taylor: Taking taylor expansion of -1 in k 1544087827.317 * [misc]backup-simplify: Simplify -1 into -1 1544087827.317 * [misc]taylor: Taking taylor expansion of k in k 1544087827.317 * [misc]backup-simplify: Simplify 0 into 0 1544087827.317 * [misc]backup-simplify: Simplify 1 into 1 1544087827.318 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087827.318 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.318 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087827.318 * [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))) 1544087827.318 * [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)))) 1544087827.318 * [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 1544087827.318 * [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 1544087827.318 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.318 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087827.318 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087827.318 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.318 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.318 * [misc]taylor: Taking taylor expansion of k in k 1544087827.318 * [misc]backup-simplify: Simplify 0 into 0 1544087827.318 * [misc]backup-simplify: Simplify 1 into 1 1544087827.319 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.319 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of -2 in k 1544087827.319 * [misc]backup-simplify: Simplify -2 into -2 1544087827.319 * [misc]taylor: Taking taylor expansion of n in k 1544087827.319 * [misc]backup-simplify: Simplify n into n 1544087827.319 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087827.319 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087827.319 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.319 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.319 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087827.319 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.319 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of k in k 1544087827.319 * [misc]backup-simplify: Simplify 0 into 0 1544087827.319 * [misc]backup-simplify: Simplify 1 into 1 1544087827.319 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.319 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.319 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.320 * [misc]backup-simplify: Simplify PI into PI 1544087827.320 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.320 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.320 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.320 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.320 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.320 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087827.320 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087827.320 * [misc]taylor: Taking taylor expansion of -1 in k 1544087827.320 * [misc]backup-simplify: Simplify -1 into -1 1544087827.320 * [misc]taylor: Taking taylor expansion of k in k 1544087827.320 * [misc]backup-simplify: Simplify 0 into 0 1544087827.320 * [misc]backup-simplify: Simplify 1 into 1 1544087827.321 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087827.321 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.321 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087827.321 * [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))) 1544087827.321 * [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)))) 1544087827.321 * [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 1544087827.321 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.321 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.321 * [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 1544087827.321 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.321 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.322 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.322 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.322 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.322 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.322 * [misc]taylor: Taking taylor expansion of k in n 1544087827.322 * [misc]backup-simplify: Simplify k into k 1544087827.322 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.322 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.322 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.322 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.322 * [misc]backup-simplify: Simplify -2 into -2 1544087827.322 * [misc]taylor: Taking taylor expansion of n in n 1544087827.322 * [misc]backup-simplify: Simplify 0 into 0 1544087827.322 * [misc]backup-simplify: Simplify 1 into 1 1544087827.322 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.322 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.322 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.322 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.323 * [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))) 1544087827.323 * [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)))) 1544087827.323 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.323 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087827.323 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087827.323 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.323 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.323 * [misc]taylor: Taking taylor expansion of k in n 1544087827.323 * [misc]backup-simplify: Simplify k into k 1544087827.323 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.323 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.323 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.323 * [misc]backup-simplify: Simplify PI into PI 1544087827.323 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.323 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.323 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.324 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087827.324 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.325 * [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))) 1544087827.325 * [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)))) 1544087827.325 * [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)))) 1544087827.326 * [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 1544087827.326 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087827.327 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087827.328 * [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))))) 1544087827.328 * [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 1544087827.328 * [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 1544087827.328 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.328 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.328 * [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 1544087827.328 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.328 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.328 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.328 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.328 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.328 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.328 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.328 * [misc]taylor: Taking taylor expansion of k in n 1544087827.328 * [misc]backup-simplify: Simplify k into k 1544087827.329 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.329 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.329 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.329 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.329 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.329 * [misc]backup-simplify: Simplify -2 into -2 1544087827.329 * [misc]taylor: Taking taylor expansion of n in n 1544087827.329 * [misc]backup-simplify: Simplify 0 into 0 1544087827.329 * [misc]backup-simplify: Simplify 1 into 1 1544087827.329 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.329 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.329 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.329 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.330 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.330 * [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))) 1544087827.331 * [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)))) 1544087827.331 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.331 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087827.331 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087827.331 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.331 * [misc]taylor: Taking taylor expansion of k in n 1544087827.331 * [misc]backup-simplify: Simplify k into k 1544087827.331 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.331 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.331 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.331 * [misc]backup-simplify: Simplify PI into PI 1544087827.332 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.332 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.332 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.332 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087827.332 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.333 * [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))) 1544087827.333 * [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)))) 1544087827.334 * [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))))) 1544087827.334 * [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))))) 1544087827.337 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087827.337 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.337 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.338 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.338 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544087827.339 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087827.342 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087827.342 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.342 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.343 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.343 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.343 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544087827.345 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.345 * [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 1544087827.346 * [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 1544087827.346 * [misc]backup-simplify: Simplify 0 into 0 1544087827.346 * [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 1544087827.347 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.348 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087827.349 * [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))))) 1544087827.349 * [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 1544087827.349 * [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 1544087827.349 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.349 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.349 * [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 1544087827.349 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.349 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.350 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.350 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.350 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.350 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.350 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.350 * [misc]taylor: Taking taylor expansion of k in n 1544087827.350 * [misc]backup-simplify: Simplify k into k 1544087827.350 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.350 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.350 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.350 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.350 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.350 * [misc]backup-simplify: Simplify -2 into -2 1544087827.350 * [misc]taylor: Taking taylor expansion of n in n 1544087827.350 * [misc]backup-simplify: Simplify 0 into 0 1544087827.350 * [misc]backup-simplify: Simplify 1 into 1 1544087827.350 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.350 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.351 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.351 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.351 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.351 * [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))) 1544087827.352 * [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)))) 1544087827.352 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.352 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087827.352 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087827.352 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.352 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.352 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.352 * [misc]taylor: Taking taylor expansion of k in n 1544087827.352 * [misc]backup-simplify: Simplify k into k 1544087827.352 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.352 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087827.352 * [misc]taylor: Taking taylor expansion of PI in n 1544087827.352 * [misc]backup-simplify: Simplify PI into PI 1544087827.352 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.353 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.353 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.353 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087827.353 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.354 * [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))) 1544087827.354 * [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)))) 1544087827.355 * [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))))) 1544087827.355 * [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))))) 1544087827.358 * [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)))))))) 1544087827.358 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1544087827.358 * [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)) 1544087827.358 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1544087827.358 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1544087827.358 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1544087827.358 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087827.358 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087827.358 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087827.358 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087827.358 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.358 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087827.358 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.358 * [misc]taylor: Taking taylor expansion of k in n 1544087827.358 * [misc]backup-simplify: Simplify k into k 1544087827.358 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.359 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.359 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.359 * [misc]backup-simplify: Simplify 2 into 2 1544087827.359 * [misc]taylor: Taking taylor expansion of n in n 1544087827.359 * [misc]backup-simplify: Simplify 0 into 0 1544087827.359 * [misc]backup-simplify: Simplify 1 into 1 1544087827.359 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.359 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.359 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.359 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087827.359 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087827.359 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087827.360 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.360 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087827.360 * [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)))) 1544087827.361 * [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))))) 1544087827.361 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544087827.361 * [misc]taylor: Taking taylor expansion of k in n 1544087827.361 * [misc]backup-simplify: Simplify k into k 1544087827.361 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544087827.361 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544087827.361 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.361 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.361 * [misc]taylor: Taking taylor expansion of k in k 1544087827.361 * [misc]backup-simplify: Simplify 0 into 0 1544087827.361 * [misc]backup-simplify: Simplify 1 into 1 1544087827.361 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087827.361 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.362 * [misc]backup-simplify: Simplify 2 into 2 1544087827.362 * [misc]taylor: Taking taylor expansion of n in k 1544087827.362 * [misc]backup-simplify: Simplify n into n 1544087827.362 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087827.362 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087827.362 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.362 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.362 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.362 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087827.362 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087827.362 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544087827.363 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087827.363 * [misc]taylor: Taking taylor expansion of k in k 1544087827.363 * [misc]backup-simplify: Simplify 0 into 0 1544087827.363 * [misc]backup-simplify: Simplify 1 into 1 1544087827.363 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.363 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.363 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544087827.363 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544087827.363 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087827.364 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087827.364 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087827.364 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.364 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.364 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.364 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.364 * [misc]taylor: Taking taylor expansion of k in k 1544087827.364 * [misc]backup-simplify: Simplify 0 into 0 1544087827.364 * [misc]backup-simplify: Simplify 1 into 1 1544087827.364 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087827.364 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087827.364 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.364 * [misc]backup-simplify: Simplify 2 into 2 1544087827.364 * [misc]taylor: Taking taylor expansion of n in k 1544087827.364 * [misc]backup-simplify: Simplify n into n 1544087827.364 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087827.364 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087827.364 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.364 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.365 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.365 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087827.365 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087827.365 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544087827.365 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544087827.365 * [misc]taylor: Taking taylor expansion of k in k 1544087827.365 * [misc]backup-simplify: Simplify 0 into 0 1544087827.365 * [misc]backup-simplify: Simplify 1 into 1 1544087827.365 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.366 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.366 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1544087827.366 * [misc]taylor: Taking taylor expansion of 0 in n 1544087827.366 * [misc]backup-simplify: Simplify 0 into 0 1544087827.366 * [misc]backup-simplify: Simplify 0 into 0 1544087827.366 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087827.367 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087827.367 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087827.367 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.367 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.368 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087827.368 * [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)))) 1544087827.369 * [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)))) 1544087827.370 * [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)))) 1544087827.370 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544087827.370 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544087827.370 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.370 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.370 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544087827.370 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087827.370 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087827.370 * [misc]taylor: Taking taylor expansion of n in n 1544087827.370 * [misc]backup-simplify: Simplify 0 into 0 1544087827.370 * [misc]backup-simplify: Simplify 1 into 1 1544087827.370 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.370 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.371 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.371 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544087827.371 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.371 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544087827.371 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544087827.372 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.372 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544087827.373 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544087827.374 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.374 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.374 * [misc]backup-simplify: Simplify 0 into 0 1544087827.376 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087827.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544087827.377 * [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 1544087827.378 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.378 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.378 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.378 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544087827.379 * [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))) 1544087827.382 * [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))))) 1544087827.385 * [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)))))) 1544087827.385 * [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 1544087827.385 * [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 1544087827.385 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1544087827.385 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.385 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.385 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1544087827.385 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1544087827.385 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087827.385 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.385 * [misc]backup-simplify: Simplify 2 into 2 1544087827.385 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087827.385 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087827.385 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1544087827.385 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.385 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.385 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.385 * [misc]backup-simplify: Simplify 2 into 2 1544087827.385 * [misc]taylor: Taking taylor expansion of n in n 1544087827.385 * [misc]backup-simplify: Simplify 0 into 0 1544087827.385 * [misc]backup-simplify: Simplify 1 into 1 1544087827.385 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.385 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.386 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.386 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1544087827.386 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544087827.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.386 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544087827.386 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544087827.386 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087827.386 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087827.386 * [misc]taylor: Taking taylor expansion of n in n 1544087827.386 * [misc]backup-simplify: Simplify 0 into 0 1544087827.386 * [misc]backup-simplify: Simplify 1 into 1 1544087827.386 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.386 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.386 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.386 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544087827.386 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544087827.387 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.387 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.387 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544087827.387 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087827.387 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087827.387 * [misc]taylor: Taking taylor expansion of n in n 1544087827.387 * [misc]backup-simplify: Simplify 0 into 0 1544087827.387 * [misc]backup-simplify: Simplify 1 into 1 1544087827.387 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.387 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.387 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.387 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544087827.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.387 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544087827.387 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544087827.388 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.388 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1544087827.388 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1544087827.389 * [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))) 1544087827.389 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.389 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1544087827.389 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.391 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087827.391 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1544087827.392 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1544087827.393 * [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))))))) 1544087827.393 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1544087827.395 * [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))))))) 1544087827.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.396 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544087827.396 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544087827.397 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.399 * [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))))))))) 1544087827.401 * [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))))))) 1544087827.403 * [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))))))) 1544087827.404 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1544087827.404 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087827.404 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087827.405 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.406 * [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))) 1544087827.406 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.406 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544087827.411 * [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)))))))))))) 1544087827.412 * [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))) 1544087827.412 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1544087827.412 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of k in n 1544087827.412 * [misc]backup-simplify: Simplify k into k 1544087827.412 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.412 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.412 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.412 * [misc]backup-simplify: Simplify 2 into 2 1544087827.412 * [misc]taylor: Taking taylor expansion of n in n 1544087827.412 * [misc]backup-simplify: Simplify 0 into 0 1544087827.412 * [misc]backup-simplify: Simplify 1 into 1 1544087827.413 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.413 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.413 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.413 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.414 * [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))) 1544087827.414 * [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)))) 1544087827.414 * [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))))) 1544087827.415 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544087827.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.415 * [misc]taylor: Taking taylor expansion of k in n 1544087827.415 * [misc]backup-simplify: Simplify k into k 1544087827.415 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.415 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544087827.415 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.415 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544087827.415 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.415 * [misc]taylor: Taking taylor expansion of k in k 1544087827.415 * [misc]backup-simplify: Simplify 0 into 0 1544087827.415 * [misc]backup-simplify: Simplify 1 into 1 1544087827.416 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.416 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087827.416 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087827.416 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.416 * [misc]backup-simplify: Simplify 2 into 2 1544087827.416 * [misc]taylor: Taking taylor expansion of n in k 1544087827.416 * [misc]backup-simplify: Simplify n into n 1544087827.416 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087827.416 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087827.416 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.416 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.416 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.417 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087827.417 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.417 * [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))))) 1544087827.417 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087827.417 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.417 * [misc]taylor: Taking taylor expansion of k in k 1544087827.417 * [misc]backup-simplify: Simplify 0 into 0 1544087827.417 * [misc]backup-simplify: Simplify 1 into 1 1544087827.417 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.417 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.418 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.418 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544087827.418 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544087827.418 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087827.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087827.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.419 * [misc]taylor: Taking taylor expansion of k in k 1544087827.419 * [misc]backup-simplify: Simplify 0 into 0 1544087827.419 * [misc]backup-simplify: Simplify 1 into 1 1544087827.419 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.419 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087827.419 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087827.419 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.419 * [misc]backup-simplify: Simplify 2 into 2 1544087827.419 * [misc]taylor: Taking taylor expansion of n in k 1544087827.419 * [misc]backup-simplify: Simplify n into n 1544087827.419 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087827.419 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087827.419 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.419 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.420 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.420 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087827.420 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.420 * [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))))) 1544087827.420 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544087827.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.420 * [misc]taylor: Taking taylor expansion of k in k 1544087827.420 * [misc]backup-simplify: Simplify 0 into 0 1544087827.420 * [misc]backup-simplify: Simplify 1 into 1 1544087827.420 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.420 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.421 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087827.421 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544087827.421 * [misc]taylor: Taking taylor expansion of 0 in n 1544087827.421 * [misc]backup-simplify: Simplify 0 into 0 1544087827.421 * [misc]backup-simplify: Simplify 0 into 0 1544087827.422 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1544087827.422 * [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))))))) 1544087827.422 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.422 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.422 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.422 * [misc]taylor: Taking taylor expansion of k in n 1544087827.423 * [misc]backup-simplify: Simplify k into k 1544087827.423 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.423 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.423 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.423 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.423 * [misc]backup-simplify: Simplify 2 into 2 1544087827.423 * [misc]taylor: Taking taylor expansion of n in n 1544087827.423 * [misc]backup-simplify: Simplify 0 into 0 1544087827.423 * [misc]backup-simplify: Simplify 1 into 1 1544087827.423 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.423 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.423 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.423 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.423 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.424 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.424 * [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))) 1544087827.424 * [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)))) 1544087827.425 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544087827.425 * [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))))) 1544087827.425 * [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))))))) 1544087827.426 * [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))))))) 1544087827.426 * [misc]backup-simplify: Simplify 0 into 0 1544087827.426 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087827.427 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087827.428 * [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 1544087827.428 * [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))))))) 1544087827.428 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544087827.428 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544087827.428 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.428 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.428 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087827.428 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.428 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.428 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.429 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.429 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.429 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.429 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.429 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.429 * [misc]taylor: Taking taylor expansion of k in n 1544087827.429 * [misc]backup-simplify: Simplify k into k 1544087827.429 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.429 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.429 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.429 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.429 * [misc]backup-simplify: Simplify 2 into 2 1544087827.429 * [misc]taylor: Taking taylor expansion of n in n 1544087827.429 * [misc]backup-simplify: Simplify 0 into 0 1544087827.429 * [misc]backup-simplify: Simplify 1 into 1 1544087827.429 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.429 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.429 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.429 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.430 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.431 * [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))) 1544087827.431 * [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)))) 1544087827.431 * [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))))) 1544087827.432 * [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))))) 1544087827.432 * [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))))))) 1544087827.432 * [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))))))) 1544087827.433 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087827.435 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087827.435 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.436 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.436 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.437 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544087827.438 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.440 * [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 1544087827.441 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1544087827.441 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.441 * [misc]backup-simplify: Simplify 0 into 0 1544087827.441 * [misc]backup-simplify: Simplify 0 into 0 1544087827.441 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.443 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087827.443 * [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 1544087827.444 * [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))))))) 1544087827.444 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.444 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.444 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of k in n 1544087827.444 * [misc]backup-simplify: Simplify k into k 1544087827.444 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.444 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.444 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.444 * [misc]backup-simplify: Simplify 2 into 2 1544087827.444 * [misc]taylor: Taking taylor expansion of n in n 1544087827.444 * [misc]backup-simplify: Simplify 0 into 0 1544087827.445 * [misc]backup-simplify: Simplify 1 into 1 1544087827.445 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.445 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.445 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.445 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.445 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.446 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.446 * [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))) 1544087827.446 * [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)))) 1544087827.446 * [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))))) 1544087827.447 * [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))))) 1544087827.447 * [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))))))) 1544087827.448 * [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))))))) 1544087827.449 * [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))))))))))) 1544087827.450 * [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))) 1544087827.450 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1544087827.450 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087827.450 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087827.450 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087827.450 * [misc]taylor: Taking taylor expansion of -1 in n 1544087827.450 * [misc]backup-simplify: Simplify -1 into -1 1544087827.450 * [misc]taylor: Taking taylor expansion of k in n 1544087827.450 * [misc]backup-simplify: Simplify k into k 1544087827.450 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087827.450 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087827.450 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087827.450 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087827.450 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.450 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.450 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.451 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.451 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.451 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.451 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.451 * [misc]taylor: Taking taylor expansion of k in n 1544087827.451 * [misc]backup-simplify: Simplify k into k 1544087827.451 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.451 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.451 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.451 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.451 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.451 * [misc]backup-simplify: Simplify -2 into -2 1544087827.451 * [misc]taylor: Taking taylor expansion of n in n 1544087827.451 * [misc]backup-simplify: Simplify 0 into 0 1544087827.451 * [misc]backup-simplify: Simplify 1 into 1 1544087827.451 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.451 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.451 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.451 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.452 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.452 * [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))) 1544087827.452 * [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)))) 1544087827.453 * [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))))) 1544087827.453 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544087827.453 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087827.453 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087827.453 * [misc]taylor: Taking taylor expansion of -1 in k 1544087827.453 * [misc]backup-simplify: Simplify -1 into -1 1544087827.453 * [misc]taylor: Taking taylor expansion of k in k 1544087827.453 * [misc]backup-simplify: Simplify 0 into 0 1544087827.453 * [misc]backup-simplify: Simplify 1 into 1 1544087827.453 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087827.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.454 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087827.454 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.454 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087827.454 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087827.454 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.454 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.454 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.454 * [misc]taylor: Taking taylor expansion of k in k 1544087827.454 * [misc]backup-simplify: Simplify 0 into 0 1544087827.454 * [misc]backup-simplify: Simplify 1 into 1 1544087827.455 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.455 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087827.455 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087827.455 * [misc]taylor: Taking taylor expansion of -2 in k 1544087827.455 * [misc]backup-simplify: Simplify -2 into -2 1544087827.455 * [misc]taylor: Taking taylor expansion of n in k 1544087827.455 * [misc]backup-simplify: Simplify n into n 1544087827.455 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087827.455 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087827.455 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.455 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.455 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087827.456 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.456 * [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))) 1544087827.456 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544087827.456 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087827.456 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087827.456 * [misc]taylor: Taking taylor expansion of -1 in k 1544087827.456 * [misc]backup-simplify: Simplify -1 into -1 1544087827.456 * [misc]taylor: Taking taylor expansion of k in k 1544087827.456 * [misc]backup-simplify: Simplify 0 into 0 1544087827.456 * [misc]backup-simplify: Simplify 1 into 1 1544087827.456 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087827.456 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087827.457 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087827.457 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.457 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087827.457 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087827.457 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.457 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.457 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.457 * [misc]taylor: Taking taylor expansion of k in k 1544087827.457 * [misc]backup-simplify: Simplify 0 into 0 1544087827.457 * [misc]backup-simplify: Simplify 1 into 1 1544087827.457 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.457 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087827.458 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087827.458 * [misc]taylor: Taking taylor expansion of -2 in k 1544087827.458 * [misc]backup-simplify: Simplify -2 into -2 1544087827.458 * [misc]taylor: Taking taylor expansion of n in k 1544087827.458 * [misc]backup-simplify: Simplify n into n 1544087827.458 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087827.458 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087827.458 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.458 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.458 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087827.459 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.459 * [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))) 1544087827.459 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.459 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.459 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.459 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of k in n 1544087827.459 * [misc]backup-simplify: Simplify k into k 1544087827.459 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.459 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.459 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.459 * [misc]backup-simplify: Simplify -2 into -2 1544087827.459 * [misc]taylor: Taking taylor expansion of n in n 1544087827.459 * [misc]backup-simplify: Simplify 0 into 0 1544087827.460 * [misc]backup-simplify: Simplify 1 into 1 1544087827.460 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.460 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.460 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.460 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.460 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.461 * [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))) 1544087827.461 * [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)))) 1544087827.461 * [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))))) 1544087827.462 * [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))))) 1544087827.462 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087827.463 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087827.464 * [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))))) 1544087827.464 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.464 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.464 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.464 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of k in n 1544087827.464 * [misc]backup-simplify: Simplify k into k 1544087827.464 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.464 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.464 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.465 * [misc]backup-simplify: Simplify -2 into -2 1544087827.465 * [misc]taylor: Taking taylor expansion of n in n 1544087827.465 * [misc]backup-simplify: Simplify 0 into 0 1544087827.465 * [misc]backup-simplify: Simplify 1 into 1 1544087827.465 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.465 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.465 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.465 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.465 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.466 * [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))) 1544087827.466 * [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)))) 1544087827.466 * [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))))) 1544087827.467 * [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))))) 1544087827.467 * [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))))))) 1544087827.468 * [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))))))) 1544087827.468 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087827.470 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087827.470 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.471 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.471 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.471 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.472 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544087827.473 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.474 * [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 1544087827.474 * [misc]backup-simplify: Simplify 0 into 0 1544087827.474 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.476 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087827.476 * [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))))) 1544087827.476 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087827.477 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087827.477 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of k in n 1544087827.477 * [misc]backup-simplify: Simplify k into k 1544087827.477 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.477 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.477 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.477 * [misc]backup-simplify: Simplify -2 into -2 1544087827.477 * [misc]taylor: Taking taylor expansion of n in n 1544087827.477 * [misc]backup-simplify: Simplify 0 into 0 1544087827.477 * [misc]backup-simplify: Simplify 1 into 1 1544087827.477 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.478 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.478 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.478 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.478 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.478 * [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))) 1544087827.479 * [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)))) 1544087827.479 * [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))))) 1544087827.480 * [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))))) 1544087827.480 * [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))))))) 1544087827.481 * [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))))))) 1544087827.482 * [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))))))))) 1544087827.483 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1544087827.483 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544087827.483 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544087827.483 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544087827.483 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544087827.483 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544087827.483 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.483 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.483 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.483 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.483 * [misc]taylor: Taking taylor expansion of k in k 1544087827.483 * [misc]backup-simplify: Simplify 0 into 0 1544087827.483 * [misc]backup-simplify: Simplify 1 into 1 1544087827.483 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087827.483 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087827.483 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.483 * [misc]backup-simplify: Simplify 2 into 2 1544087827.483 * [misc]taylor: Taking taylor expansion of n in k 1544087827.483 * [misc]backup-simplify: Simplify n into n 1544087827.483 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087827.483 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087827.484 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.484 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.484 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.484 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544087827.484 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544087827.484 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087827.484 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087827.484 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087827.484 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087827.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.484 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087827.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.484 * [misc]taylor: Taking taylor expansion of k in n 1544087827.484 * [misc]backup-simplify: Simplify k into k 1544087827.485 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.485 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.485 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.485 * [misc]backup-simplify: Simplify 2 into 2 1544087827.485 * [misc]taylor: Taking taylor expansion of n in n 1544087827.485 * [misc]backup-simplify: Simplify 0 into 0 1544087827.485 * [misc]backup-simplify: Simplify 1 into 1 1544087827.485 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.485 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.485 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.485 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087827.485 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087827.486 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087827.486 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.486 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087827.486 * [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)))) 1544087827.487 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544087827.487 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544087827.487 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544087827.487 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087827.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.487 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087827.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.487 * [misc]taylor: Taking taylor expansion of k in n 1544087827.487 * [misc]backup-simplify: Simplify k into k 1544087827.487 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087827.487 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087827.487 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.487 * [misc]backup-simplify: Simplify 2 into 2 1544087827.487 * [misc]taylor: Taking taylor expansion of n in n 1544087827.487 * [misc]backup-simplify: Simplify 0 into 0 1544087827.487 * [misc]backup-simplify: Simplify 1 into 1 1544087827.487 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087827.487 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087827.488 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.488 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087827.488 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087827.488 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087827.488 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.488 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544087827.489 * [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)))) 1544087827.489 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544087827.489 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544087827.489 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544087827.489 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544087827.489 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.489 * [misc]backup-simplify: Simplify 2 into 2 1544087827.489 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.489 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087827.489 * [misc]taylor: Taking taylor expansion of n in k 1544087827.489 * [misc]backup-simplify: Simplify n into n 1544087827.489 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087827.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.490 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.490 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.490 * [misc]taylor: Taking taylor expansion of k in k 1544087827.490 * [misc]backup-simplify: Simplify 0 into 0 1544087827.490 * [misc]backup-simplify: Simplify 1 into 1 1544087827.490 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544087827.490 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.490 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.490 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.491 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544087827.491 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544087827.491 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544087827.491 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.494 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087827.494 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544087827.494 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.495 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.495 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544087827.496 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.496 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.496 * [misc]backup-simplify: Simplify 0 into 0 1544087827.496 * [misc]backup-simplify: Simplify 0 into 0 1544087827.497 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087827.497 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.497 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.500 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087827.500 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544087827.500 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.501 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544087827.502 * [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))))) 1544087827.502 * [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))))) 1544087827.503 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087827.507 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087827.507 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544087827.508 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.508 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087827.509 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544087827.511 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087827.511 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.511 * [misc]backup-simplify: Simplify 0 into 0 1544087827.511 * [misc]backup-simplify: Simplify 0 into 0 1544087827.511 * [misc]backup-simplify: Simplify 0 into 0 1544087827.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.511 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.516 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087827.517 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544087827.518 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.518 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544087827.520 * [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))))) 1544087827.520 * [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))))) 1544087827.522 * [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))))) 1544087827.522 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.522 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544087827.522 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.522 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087827.522 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087827.522 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.522 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.522 * [misc]taylor: Taking taylor expansion of k in k 1544087827.522 * [misc]backup-simplify: Simplify 0 into 0 1544087827.522 * [misc]backup-simplify: Simplify 1 into 1 1544087827.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.523 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087827.523 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087827.523 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.523 * [misc]backup-simplify: Simplify 2 into 2 1544087827.523 * [misc]taylor: Taking taylor expansion of n in k 1544087827.523 * [misc]backup-simplify: Simplify n into n 1544087827.523 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087827.523 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087827.523 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.523 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.523 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.523 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087827.523 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.523 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.523 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of k in n 1544087827.523 * [misc]backup-simplify: Simplify k into k 1544087827.523 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.523 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.523 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.523 * [misc]backup-simplify: Simplify 2 into 2 1544087827.524 * [misc]taylor: Taking taylor expansion of n in n 1544087827.524 * [misc]backup-simplify: Simplify 0 into 0 1544087827.524 * [misc]backup-simplify: Simplify 1 into 1 1544087827.524 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.524 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.524 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.524 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.524 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.524 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.524 * [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))) 1544087827.525 * [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)))) 1544087827.525 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.525 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of k in n 1544087827.525 * [misc]backup-simplify: Simplify k into k 1544087827.525 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.525 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087827.525 * [misc]taylor: Taking taylor expansion of 2 in n 1544087827.525 * [misc]backup-simplify: Simplify 2 into 2 1544087827.525 * [misc]taylor: Taking taylor expansion of n in n 1544087827.525 * [misc]backup-simplify: Simplify 0 into 0 1544087827.525 * [misc]backup-simplify: Simplify 1 into 1 1544087827.525 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087827.525 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.525 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.525 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087827.525 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087827.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.526 * [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))) 1544087827.526 * [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)))) 1544087827.526 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of k in k 1544087827.526 * [misc]backup-simplify: Simplify 0 into 0 1544087827.526 * [misc]backup-simplify: Simplify 1 into 1 1544087827.526 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.526 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of 2 in k 1544087827.526 * [misc]backup-simplify: Simplify 2 into 2 1544087827.526 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087827.526 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087827.526 * [misc]taylor: Taking taylor expansion of n in k 1544087827.527 * [misc]backup-simplify: Simplify n into n 1544087827.527 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087827.527 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.527 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.527 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.527 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087827.527 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544087827.527 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544087827.527 * [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)))) 1544087827.528 * [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)))) 1544087827.528 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087827.529 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087827.529 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.530 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.530 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.530 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.530 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544087827.531 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.531 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.531 * [misc]backup-simplify: Simplify 0 into 0 1544087827.531 * [misc]backup-simplify: Simplify 0 into 0 1544087827.531 * [misc]backup-simplify: Simplify 0 into 0 1544087827.532 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.534 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087827.534 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087827.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087827.534 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.534 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.535 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.535 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544087827.536 * [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 1544087827.536 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.536 * [misc]backup-simplify: Simplify 0 into 0 1544087827.536 * [misc]backup-simplify: Simplify 0 into 0 1544087827.536 * [misc]backup-simplify: Simplify 0 into 0 1544087827.536 * [misc]backup-simplify: Simplify 0 into 0 1544087827.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.541 * [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 1544087827.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087827.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544087827.541 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087827.542 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544087827.544 * [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 1544087827.544 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.544 * [misc]backup-simplify: Simplify 0 into 0 1544087827.544 * [misc]backup-simplify: Simplify 0 into 0 1544087827.544 * [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)))) 1544087827.545 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.545 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544087827.545 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of k in k 1544087827.545 * [misc]backup-simplify: Simplify 0 into 0 1544087827.545 * [misc]backup-simplify: Simplify 1 into 1 1544087827.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.545 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087827.545 * [misc]taylor: Taking taylor expansion of -2 in k 1544087827.545 * [misc]backup-simplify: Simplify -2 into -2 1544087827.545 * [misc]taylor: Taking taylor expansion of n in k 1544087827.545 * [misc]backup-simplify: Simplify n into n 1544087827.545 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087827.545 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087827.545 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.545 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087827.545 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.545 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of k in n 1544087827.546 * [misc]backup-simplify: Simplify k into k 1544087827.546 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.546 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.546 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.546 * [misc]backup-simplify: Simplify -2 into -2 1544087827.546 * [misc]taylor: Taking taylor expansion of n in n 1544087827.546 * [misc]backup-simplify: Simplify 0 into 0 1544087827.546 * [misc]backup-simplify: Simplify 1 into 1 1544087827.546 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.546 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.546 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.546 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.547 * [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))) 1544087827.547 * [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)))) 1544087827.547 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of k in n 1544087827.547 * [misc]backup-simplify: Simplify k into k 1544087827.547 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087827.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087827.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.547 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087827.547 * [misc]taylor: Taking taylor expansion of -2 in n 1544087827.547 * [misc]backup-simplify: Simplify -2 into -2 1544087827.547 * [misc]taylor: Taking taylor expansion of n in n 1544087827.547 * [misc]backup-simplify: Simplify 0 into 0 1544087827.547 * [misc]backup-simplify: Simplify 1 into 1 1544087827.547 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087827.547 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.548 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087827.548 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087827.548 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.548 * [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))) 1544087827.548 * [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)))) 1544087827.548 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544087827.548 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544087827.548 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.548 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.548 * [misc]taylor: Taking taylor expansion of k in k 1544087827.548 * [misc]backup-simplify: Simplify 0 into 0 1544087827.548 * [misc]backup-simplify: Simplify 1 into 1 1544087827.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.549 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544087827.549 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544087827.549 * [misc]taylor: Taking taylor expansion of -2 in k 1544087827.549 * [misc]backup-simplify: Simplify -2 into -2 1544087827.549 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087827.549 * [misc]taylor: Taking taylor expansion of (log n) in k 1544087827.549 * [misc]taylor: Taking taylor expansion of n in k 1544087827.549 * [misc]backup-simplify: Simplify n into n 1544087827.549 * [misc]backup-simplify: Simplify (log n) into (log n) 1544087827.549 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.549 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.549 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544087827.549 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544087827.549 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544087827.550 * [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)))) 1544087827.550 * [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)))) 1544087827.550 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087827.552 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087827.552 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087827.552 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087827.552 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.552 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544087827.553 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087827.553 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.553 * [misc]backup-simplify: Simplify 0 into 0 1544087827.553 * [misc]backup-simplify: Simplify 0 into 0 1544087827.553 * [misc]backup-simplify: Simplify 0 into 0 1544087827.554 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.557 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544087827.557 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087827.557 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087827.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.558 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544087827.560 * [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 1544087827.561 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.561 * [misc]backup-simplify: Simplify 0 into 0 1544087827.561 * [misc]backup-simplify: Simplify 0 into 0 1544087827.561 * [misc]backup-simplify: Simplify 0 into 0 1544087827.561 * [misc]backup-simplify: Simplify 0 into 0 1544087827.561 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087827.568 * [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 1544087827.568 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087827.569 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544087827.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.569 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087827.570 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544087827.573 * [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 1544087827.574 * [misc]taylor: Taking taylor expansion of 0 in k 1544087827.574 * [misc]backup-simplify: Simplify 0 into 0 1544087827.574 * [misc]backup-simplify: Simplify 0 into 0 1544087827.574 * [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))))) 1544087827.574 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1544087827.575 * [misc]backup-simplify: Simplify (exp (* (log PI) (- 1/2 (/ k 2)))) into (pow PI (- 1/2 (* 1/2 k))) 1544087827.575 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544087827.575 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087827.575 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087827.575 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087827.575 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.575 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.575 * [misc]taylor: Taking taylor expansion of k in k 1544087827.575 * [misc]backup-simplify: Simplify 0 into 0 1544087827.575 * [misc]backup-simplify: Simplify 1 into 1 1544087827.575 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.575 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.575 * [misc]backup-simplify: Simplify PI into PI 1544087827.575 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.576 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.576 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.576 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.576 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.577 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087827.577 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087827.577 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087827.577 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087827.577 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087827.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.577 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087827.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.577 * [misc]taylor: Taking taylor expansion of k in k 1544087827.577 * [misc]backup-simplify: Simplify 0 into 0 1544087827.577 * [misc]backup-simplify: Simplify 1 into 1 1544087827.577 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.578 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.578 * [misc]backup-simplify: Simplify PI into PI 1544087827.578 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.578 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087827.578 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.578 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.579 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.579 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087827.580 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544087827.583 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087827.583 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087827.583 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.583 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.585 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544087827.588 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544087827.589 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544087827.594 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087827.594 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087827.594 * [misc]backup-simplify: Simplify (- 0) into 0 1544087827.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087827.596 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544087827.600 * [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))) 1544087827.601 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544087827.604 * [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)))) 1544087827.605 * [misc]backup-simplify: Simplify (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.605 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544087827.605 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.605 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087827.605 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087827.605 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.605 * [misc]taylor: Taking taylor expansion of k in k 1544087827.605 * [misc]backup-simplify: Simplify 0 into 0 1544087827.605 * [misc]backup-simplify: Simplify 1 into 1 1544087827.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.605 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.605 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.605 * [misc]backup-simplify: Simplify PI into PI 1544087827.606 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.606 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.606 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.606 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.606 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087827.607 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.607 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087827.607 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087827.607 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087827.607 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087827.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.607 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.607 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.607 * [misc]taylor: Taking taylor expansion of k in k 1544087827.607 * [misc]backup-simplify: Simplify 0 into 0 1544087827.607 * [misc]backup-simplify: Simplify 1 into 1 1544087827.607 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.608 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.608 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.608 * [misc]backup-simplify: Simplify PI into PI 1544087827.608 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.608 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.608 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087827.608 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087827.609 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087827.609 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.609 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087827.609 * [misc]backup-simplify: Simplify 0 into 0 1544087827.609 * [misc]backup-simplify: Simplify 0 into 0 1544087827.609 * [misc]backup-simplify: Simplify 0 into 0 1544087827.609 * [misc]backup-simplify: Simplify 0 into 0 1544087827.609 * [misc]backup-simplify: Simplify 0 into 0 1544087827.610 * [misc]backup-simplify: Simplify 0 into 0 1544087827.610 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544087827.610 * [misc]backup-simplify: Simplify (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.610 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544087827.610 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.610 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087827.610 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087827.610 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.610 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.610 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.610 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.610 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.610 * [misc]taylor: Taking taylor expansion of k in k 1544087827.610 * [misc]backup-simplify: Simplify 0 into 0 1544087827.610 * [misc]backup-simplify: Simplify 1 into 1 1544087827.611 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.611 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.611 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.611 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.611 * [misc]backup-simplify: Simplify PI into PI 1544087827.611 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.611 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.611 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.612 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.612 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.612 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087827.612 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087827.612 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087827.612 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087827.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087827.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087827.612 * [misc]taylor: Taking taylor expansion of k in k 1544087827.612 * [misc]backup-simplify: Simplify 0 into 0 1544087827.612 * [misc]backup-simplify: Simplify 1 into 1 1544087827.613 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087827.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087827.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087827.613 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087827.613 * [misc]taylor: Taking taylor expansion of PI in k 1544087827.613 * [misc]backup-simplify: Simplify PI into PI 1544087827.613 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087827.613 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087827.613 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087827.614 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087827.614 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.614 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087827.614 * [misc]backup-simplify: Simplify 0 into 0 1544087827.614 * [misc]backup-simplify: Simplify 0 into 0 1544087827.614 * [misc]backup-simplify: Simplify 0 into 0 1544087827.614 * [misc]backup-simplify: Simplify 0 into 0 1544087827.615 * [misc]backup-simplify: Simplify 0 into 0 1544087827.615 * [misc]backup-simplify: Simplify 0 into 0 1544087827.615 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544087827.615 * * * [misc]progress: simplifying candidates 1544087827.615 * * * * [misc]progress: [ 1 / 293 ] simplifiying candidate # 1544087827.615 * * * * [misc]progress: [ 2 / 293 ] simplifiying candidate # 1544087827.615 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544087827.615 * * [misc]simplify: iters left: 6 (16 enodes) 1544087827.621 * * [misc]simplify: iters left: 5 (30 enodes) 1544087827.631 * * [misc]simplify: iters left: 4 (66 enodes) 1544087827.662 * * [misc]simplify: iters left: 3 (209 enodes) 1544087827.801 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1544087827.801 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1544087827.801 * * * * [misc]progress: [ 3 / 293 ] simplifiying candidate # 1544087827.802 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544087827.802 * * [misc]simplify: iters left: 6 (16 enodes) 1544087827.807 * * [misc]simplify: iters left: 5 (30 enodes) 1544087827.817 * * [misc]simplify: iters left: 4 (66 enodes) 1544087827.847 * * [misc]simplify: iters left: 3 (209 enodes) 1544087827.988 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1544087827.988 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1544087827.988 * * * * [misc]progress: [ 4 / 293 ] simplifiying candidate # 1544087827.988 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087827.988 * * [misc]simplify: iters left: 6 (16 enodes) 1544087827.993 * * [misc]simplify: iters left: 5 (28 enodes) 1544087828.005 * * [misc]simplify: iters left: 4 (54 enodes) 1544087828.026 * * [misc]simplify: iters left: 3 (132 enodes) 1544087828.099 * * [misc]simplify: iters left: 2 (467 enodes) 1544087828.438 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544087828.438 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544087828.438 * * * * [misc]progress: [ 5 / 293 ] simplifiying candidate # 1544087828.438 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087828.438 * * [misc]simplify: iters left: 6 (15 enodes) 1544087828.443 * * [misc]simplify: iters left: 5 (24 enodes) 1544087828.447 * * [misc]simplify: iters left: 4 (40 enodes) 1544087828.454 * * [misc]simplify: iters left: 3 (81 enodes) 1544087828.480 * * [misc]simplify: iters left: 2 (186 enodes) 1544087828.607 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544087828.607 * [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)))))) 1544087828.607 * * * * [misc]progress: [ 6 / 293 ] simplifiying candidate # 1544087828.607 * * * * [misc]progress: [ 7 / 293 ] simplifiying candidate # 1544087828.607 * * * * [misc]progress: [ 8 / 293 ] simplifiying candidate # 1544087828.607 * [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)))))) 1544087828.608 * * [misc]simplify: iters left: 6 (21 enodes) 1544087828.611 * * [misc]simplify: iters left: 5 (44 enodes) 1544087828.620 * * [misc]simplify: iters left: 4 (134 enodes) 1544087828.673 * * [misc]simplify: iters left: 3 (495 enodes) 1544087829.138 * [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)))))) 1544087829.138 * [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)))))))) 1544087829.138 * * * * [misc]progress: [ 9 / 293 ] simplifiying candidate # 1544087829.138 * [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)))))) 1544087829.138 * * [misc]simplify: iters left: 6 (19 enodes) 1544087829.141 * * [misc]simplify: iters left: 5 (43 enodes) 1544087829.149 * * [misc]simplify: iters left: 4 (114 enodes) 1544087829.179 * * [misc]simplify: iters left: 3 (334 enodes) 1544087829.456 * [exit]simplify: Simplified to (pow (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 3) 1544087829.456 * [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))) 1544087829.456 * * * * [misc]progress: [ 10 / 293 ] simplifiying candidate # 1544087829.456 * * * * [misc]progress: [ 11 / 293 ] simplifiying candidate # 1544087829.457 * * * * [misc]progress: [ 12 / 293 ] simplifiying candidate # 1544087829.457 * * * * [misc]progress: [ 13 / 293 ] simplifiying candidate # 1544087829.457 * * * * [misc]progress: [ 14 / 293 ] simplifiying candidate # 1544087829.457 * [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))))))) 1544087829.457 * * [misc]simplify: iters left: 6 (17 enodes) 1544087829.462 * * [misc]simplify: iters left: 5 (26 enodes) 1544087829.470 * * [misc]simplify: iters left: 4 (31 enodes) 1544087829.477 * * [misc]simplify: iters left: 3 (33 enodes) 1544087829.485 * [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)))))) 1544087829.485 * [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)))))))) 1544087829.486 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087829.486 * * [misc]simplify: iters left: 6 (17 enodes) 1544087829.491 * * [misc]simplify: iters left: 5 (27 enodes) 1544087829.498 * * [misc]simplify: iters left: 4 (41 enodes) 1544087829.509 * * [misc]simplify: iters left: 3 (71 enodes) 1544087829.523 * * [misc]simplify: iters left: 2 (93 enodes) 1544087829.533 * * [misc]simplify: iters left: 1 (101 enodes) 1544087829.544 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087829.544 * [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)))))))) 1544087829.544 * * * * [misc]progress: [ 15 / 293 ] simplifiying candidate # 1544087829.545 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087829.545 * * [misc]simplify: iters left: 6 (16 enodes) 1544087829.547 * * [misc]simplify: iters left: 5 (23 enodes) 1544087829.553 * * [misc]simplify: iters left: 4 (28 enodes) 1544087829.562 * * [misc]simplify: iters left: 3 (30 enodes) 1544087829.570 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087829.570 * [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)))))))) 1544087829.570 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087829.570 * * [misc]simplify: iters left: 6 (17 enodes) 1544087829.575 * * [misc]simplify: iters left: 5 (27 enodes) 1544087829.583 * * [misc]simplify: iters left: 4 (41 enodes) 1544087829.594 * * [misc]simplify: iters left: 3 (71 enodes) 1544087829.610 * * [misc]simplify: iters left: 2 (93 enodes) 1544087829.630 * * [misc]simplify: iters left: 1 (101 enodes) 1544087829.644 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087829.644 * [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)))))))) 1544087829.644 * * * * [misc]progress: [ 16 / 293 ] simplifiying candidate # 1544087829.644 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087829.644 * * [misc]simplify: iters left: 6 (15 enodes) 1544087829.647 * * [misc]simplify: iters left: 5 (25 enodes) 1544087829.650 * * [misc]simplify: iters left: 4 (34 enodes) 1544087829.655 * * [misc]simplify: iters left: 3 (48 enodes) 1544087829.662 * * [misc]simplify: iters left: 2 (53 enodes) 1544087829.669 * * [misc]simplify: iters left: 1 (60 enodes) 1544087829.677 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087829.677 * [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))))))) 1544087829.678 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087829.678 * * [misc]simplify: iters left: 6 (15 enodes) 1544087829.680 * * [misc]simplify: iters left: 5 (26 enodes) 1544087829.684 * * [misc]simplify: iters left: 4 (42 enodes) 1544087829.690 * * [misc]simplify: iters left: 3 (78 enodes) 1544087829.704 * * [misc]simplify: iters left: 2 (126 enodes) 1544087829.722 * * [misc]simplify: iters left: 1 (179 enodes) 1544087829.766 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087829.766 * [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)))))) 1544087829.766 * * * * [misc]progress: [ 17 / 293 ] simplifiying candidate # 1544087829.766 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087829.767 * * [misc]simplify: iters left: 6 (15 enodes) 1544087829.770 * * [misc]simplify: iters left: 5 (25 enodes) 1544087829.774 * * [misc]simplify: iters left: 4 (34 enodes) 1544087829.782 * * [misc]simplify: iters left: 3 (48 enodes) 1544087829.795 * * [misc]simplify: iters left: 2 (53 enodes) 1544087829.803 * * [misc]simplify: iters left: 1 (60 enodes) 1544087829.811 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087829.811 * [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))))))) 1544087829.811 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087829.812 * * [misc]simplify: iters left: 6 (15 enodes) 1544087829.814 * * [misc]simplify: iters left: 5 (26 enodes) 1544087829.820 * * [misc]simplify: iters left: 4 (42 enodes) 1544087829.832 * * [misc]simplify: iters left: 3 (78 enodes) 1544087829.853 * * [misc]simplify: iters left: 2 (126 enodes) 1544087829.888 * * [misc]simplify: iters left: 1 (179 enodes) 1544087829.931 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087829.931 * [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)))))) 1544087829.931 * * * * [misc]progress: [ 18 / 293 ] simplifiying candidate # 1544087829.932 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087829.932 * * [misc]simplify: iters left: 6 (16 enodes) 1544087829.934 * * [misc]simplify: iters left: 5 (26 enodes) 1544087829.938 * * [misc]simplify: iters left: 4 (38 enodes) 1544087829.944 * * [misc]simplify: iters left: 3 (52 enodes) 1544087829.953 * * [misc]simplify: iters left: 2 (57 enodes) 1544087829.967 * * [misc]simplify: iters left: 1 (64 enodes) 1544087829.983 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087829.983 * [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))))))) 1544087829.983 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087829.984 * * [misc]simplify: iters left: 6 (15 enodes) 1544087829.988 * * [misc]simplify: iters left: 5 (26 enodes) 1544087829.996 * * [misc]simplify: iters left: 4 (43 enodes) 1544087830.008 * * [misc]simplify: iters left: 3 (79 enodes) 1544087830.030 * * [misc]simplify: iters left: 2 (127 enodes) 1544087830.049 * * [misc]simplify: iters left: 1 (180 enodes) 1544087830.081 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087830.081 * [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)))))) 1544087830.081 * * * * [misc]progress: [ 19 / 293 ] simplifiying candidate # 1544087830.081 * [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))))))) 1544087830.081 * * [misc]simplify: iters left: 6 (19 enodes) 1544087830.084 * * [misc]simplify: iters left: 5 (34 enodes) 1544087830.090 * * [misc]simplify: iters left: 4 (57 enodes) 1544087830.098 * * [misc]simplify: iters left: 3 (84 enodes) 1544087830.115 * * [misc]simplify: iters left: 2 (118 enodes) 1544087830.151 * * [misc]simplify: iters left: 1 (141 enodes) 1544087830.186 * [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)))))) 1544087830.186 * [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)))))))) 1544087830.187 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087830.187 * * [misc]simplify: iters left: 6 (18 enodes) 1544087830.189 * * [misc]simplify: iters left: 5 (30 enodes) 1544087830.194 * * [misc]simplify: iters left: 4 (47 enodes) 1544087830.200 * * [misc]simplify: iters left: 3 (83 enodes) 1544087830.213 * * [misc]simplify: iters left: 2 (131 enodes) 1544087830.232 * * [misc]simplify: iters left: 1 (184 enodes) 1544087830.272 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087830.272 * [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)))))) 1544087830.272 * * * * [misc]progress: [ 20 / 293 ] simplifiying candidate # 1544087830.272 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087830.273 * * [misc]simplify: iters left: 6 (18 enodes) 1544087830.278 * * [misc]simplify: iters left: 5 (29 enodes) 1544087830.286 * * [misc]simplify: iters left: 4 (41 enodes) 1544087830.298 * * [misc]simplify: iters left: 3 (55 enodes) 1544087830.312 * * [misc]simplify: iters left: 2 (60 enodes) 1544087830.328 * * [misc]simplify: iters left: 1 (67 enodes) 1544087830.344 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087830.344 * [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)))))))) 1544087830.345 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087830.345 * * [misc]simplify: iters left: 6 (18 enodes) 1544087830.351 * * [misc]simplify: iters left: 5 (30 enodes) 1544087830.359 * * [misc]simplify: iters left: 4 (47 enodes) 1544087830.373 * * [misc]simplify: iters left: 3 (83 enodes) 1544087830.394 * * [misc]simplify: iters left: 2 (131 enodes) 1544087830.430 * * [misc]simplify: iters left: 1 (184 enodes) 1544087830.484 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087830.484 * [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)))))) 1544087830.484 * * * * [misc]progress: [ 21 / 293 ] simplifiying candidate # 1544087830.484 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087830.484 * * [misc]simplify: iters left: 6 (12 enodes) 1544087830.488 * * [misc]simplify: iters left: 5 (22 enodes) 1544087830.495 * * [misc]simplify: iters left: 4 (35 enodes) 1544087830.504 * * [misc]simplify: iters left: 3 (57 enodes) 1544087830.521 * * [misc]simplify: iters left: 2 (124 enodes) 1544087830.580 * * [misc]simplify: iters left: 1 (186 enodes) 1544087830.614 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544087830.614 * [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))))))) 1544087830.614 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087830.614 * * [misc]simplify: iters left: 6 (17 enodes) 1544087830.619 * * [misc]simplify: iters left: 5 (29 enodes) 1544087830.627 * * [misc]simplify: iters left: 4 (46 enodes) 1544087830.640 * * [misc]simplify: iters left: 3 (82 enodes) 1544087830.661 * * [misc]simplify: iters left: 2 (130 enodes) 1544087830.694 * * [misc]simplify: iters left: 1 (183 enodes) 1544087830.727 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087830.727 * [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)))))) 1544087830.727 * * * * [misc]progress: [ 22 / 293 ] simplifiying candidate # 1544087830.728 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087830.728 * * [misc]simplify: iters left: 6 (14 enodes) 1544087830.732 * * [misc]simplify: iters left: 5 (22 enodes) 1544087830.738 * * [misc]simplify: iters left: 4 (27 enodes) 1544087830.745 * * [misc]simplify: iters left: 3 (31 enodes) 1544087830.753 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087830.753 * [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))))))) 1544087830.753 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087830.753 * * [misc]simplify: iters left: 6 (15 enodes) 1544087830.758 * * [misc]simplify: iters left: 5 (26 enodes) 1544087830.764 * * [misc]simplify: iters left: 4 (42 enodes) 1544087830.770 * * [misc]simplify: iters left: 3 (78 enodes) 1544087830.780 * * [misc]simplify: iters left: 2 (126 enodes) 1544087830.798 * * [misc]simplify: iters left: 1 (179 enodes) 1544087830.825 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087830.825 * [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)))))) 1544087830.825 * * * * [misc]progress: [ 23 / 293 ] simplifiying candidate # 1544087830.826 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087830.826 * * [misc]simplify: iters left: 6 (14 enodes) 1544087830.828 * * [misc]simplify: iters left: 5 (22 enodes) 1544087830.834 * * [misc]simplify: iters left: 4 (27 enodes) 1544087830.841 * * [misc]simplify: iters left: 3 (31 enodes) 1544087830.848 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087830.848 * [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))))))) 1544087830.848 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087830.849 * * [misc]simplify: iters left: 6 (15 enodes) 1544087830.853 * * [misc]simplify: iters left: 5 (26 enodes) 1544087830.861 * * [misc]simplify: iters left: 4 (42 enodes) 1544087830.872 * * [misc]simplify: iters left: 3 (78 enodes) 1544087830.882 * * [misc]simplify: iters left: 2 (126 enodes) 1544087830.900 * * [misc]simplify: iters left: 1 (179 enodes) 1544087830.928 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087830.928 * [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)))))) 1544087830.928 * * * * [misc]progress: [ 24 / 293 ] simplifiying candidate # 1544087830.929 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087830.929 * * [misc]simplify: iters left: 6 (15 enodes) 1544087830.931 * * [misc]simplify: iters left: 5 (23 enodes) 1544087830.934 * * [misc]simplify: iters left: 4 (31 enodes) 1544087830.938 * * [misc]simplify: iters left: 3 (35 enodes) 1544087830.942 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087830.942 * [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))))))) 1544087830.942 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087830.942 * * [misc]simplify: iters left: 6 (15 enodes) 1544087830.945 * * [misc]simplify: iters left: 5 (26 enodes) 1544087830.949 * * [misc]simplify: iters left: 4 (43 enodes) 1544087830.961 * * [misc]simplify: iters left: 3 (79 enodes) 1544087830.980 * * [misc]simplify: iters left: 2 (127 enodes) 1544087830.998 * * [misc]simplify: iters left: 1 (180 enodes) 1544087831.026 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087831.026 * [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)))))) 1544087831.026 * * * * [misc]progress: [ 25 / 293 ] simplifiying candidate # 1544087831.026 * [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))))))) 1544087831.026 * * [misc]simplify: iters left: 6 (18 enodes) 1544087831.029 * * [misc]simplify: iters left: 5 (29 enodes) 1544087831.033 * * [misc]simplify: iters left: 4 (39 enodes) 1544087831.041 * * [misc]simplify: iters left: 3 (50 enodes) 1544087831.054 * * [misc]simplify: iters left: 2 (58 enodes) 1544087831.067 * * [misc]simplify: iters left: 1 (60 enodes) 1544087831.083 * [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)))))) 1544087831.083 * [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)))))))) 1544087831.083 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087831.083 * * [misc]simplify: iters left: 6 (18 enodes) 1544087831.089 * * [misc]simplify: iters left: 5 (30 enodes) 1544087831.097 * * [misc]simplify: iters left: 4 (47 enodes) 1544087831.110 * * [misc]simplify: iters left: 3 (83 enodes) 1544087831.133 * * [misc]simplify: iters left: 2 (131 enodes) 1544087831.168 * * [misc]simplify: iters left: 1 (184 enodes) 1544087831.220 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087831.220 * [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)))))) 1544087831.220 * * * * [misc]progress: [ 26 / 293 ] simplifiying candidate # 1544087831.220 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087831.221 * * [misc]simplify: iters left: 6 (17 enodes) 1544087831.226 * * [misc]simplify: iters left: 5 (26 enodes) 1544087831.233 * * [misc]simplify: iters left: 4 (34 enodes) 1544087831.242 * * [misc]simplify: iters left: 3 (38 enodes) 1544087831.251 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087831.251 * [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)))))))) 1544087831.251 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087831.251 * * [misc]simplify: iters left: 6 (18 enodes) 1544087831.257 * * [misc]simplify: iters left: 5 (30 enodes) 1544087831.268 * * [misc]simplify: iters left: 4 (47 enodes) 1544087831.282 * * [misc]simplify: iters left: 3 (83 enodes) 1544087831.302 * * [misc]simplify: iters left: 2 (131 enodes) 1544087831.337 * * [misc]simplify: iters left: 1 (184 enodes) 1544087831.367 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087831.367 * [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)))))) 1544087831.367 * * * * [misc]progress: [ 27 / 293 ] simplifiying candidate # 1544087831.367 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1544087831.367 * * [misc]simplify: iters left: 6 (11 enodes) 1544087831.370 * * [misc]simplify: iters left: 5 (19 enodes) 1544087831.376 * * [misc]simplify: iters left: 4 (28 enodes) 1544087831.384 * * [misc]simplify: iters left: 3 (32 enodes) 1544087831.389 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544087831.389 * [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))))))) 1544087831.389 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087831.389 * * [misc]simplify: iters left: 6 (17 enodes) 1544087831.392 * * [misc]simplify: iters left: 5 (29 enodes) 1544087831.396 * * [misc]simplify: iters left: 4 (46 enodes) 1544087831.403 * * [misc]simplify: iters left: 3 (82 enodes) 1544087831.413 * * [misc]simplify: iters left: 2 (130 enodes) 1544087831.438 * * [misc]simplify: iters left: 1 (183 enodes) 1544087831.489 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087831.490 * [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)))))) 1544087831.490 * * * * [misc]progress: [ 28 / 293 ] simplifiying candidate # 1544087831.490 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544087831.491 * * [misc]simplify: iters left: 6 (12 enodes) 1544087831.495 * * [misc]simplify: iters left: 5 (22 enodes) 1544087831.501 * * [misc]simplify: iters left: 4 (26 enodes) 1544087831.508 * * [misc]simplify: iters left: 3 (37 enodes) 1544087831.517 * * [misc]simplify: iters left: 2 (42 enodes) 1544087831.527 * * [misc]simplify: iters left: 1 (51 enodes) 1544087831.538 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087831.538 * [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))))))) 1544087831.538 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087831.539 * * [misc]simplify: iters left: 6 (14 enodes) 1544087831.543 * * [misc]simplify: iters left: 5 (25 enodes) 1544087831.549 * * [misc]simplify: iters left: 4 (41 enodes) 1544087831.555 * * [misc]simplify: iters left: 3 (77 enodes) 1544087831.565 * * [misc]simplify: iters left: 2 (125 enodes) 1544087831.585 * * [misc]simplify: iters left: 1 (178 enodes) 1544087831.639 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087831.639 * [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))))) 1544087831.639 * * * * [misc]progress: [ 29 / 293 ] simplifiying candidate # 1544087831.640 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544087831.640 * * [misc]simplify: iters left: 6 (12 enodes) 1544087831.644 * * [misc]simplify: iters left: 5 (22 enodes) 1544087831.650 * * [misc]simplify: iters left: 4 (26 enodes) 1544087831.657 * * [misc]simplify: iters left: 3 (37 enodes) 1544087831.663 * * [misc]simplify: iters left: 2 (42 enodes) 1544087831.668 * * [misc]simplify: iters left: 1 (51 enodes) 1544087831.674 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087831.674 * [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))))))) 1544087831.674 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087831.675 * * [misc]simplify: iters left: 6 (14 enodes) 1544087831.677 * * [misc]simplify: iters left: 5 (25 enodes) 1544087831.680 * * [misc]simplify: iters left: 4 (41 enodes) 1544087831.686 * * [misc]simplify: iters left: 3 (77 enodes) 1544087831.696 * * [misc]simplify: iters left: 2 (125 enodes) 1544087831.721 * * [misc]simplify: iters left: 1 (178 enodes) 1544087831.772 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087831.772 * [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))))) 1544087831.772 * * * * [misc]progress: [ 30 / 293 ] simplifiying candidate # 1544087831.772 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087831.772 * * [misc]simplify: iters left: 6 (14 enodes) 1544087831.776 * * [misc]simplify: iters left: 5 (24 enodes) 1544087831.783 * * [misc]simplify: iters left: 4 (31 enodes) 1544087831.789 * * [misc]simplify: iters left: 3 (42 enodes) 1544087831.795 * * [misc]simplify: iters left: 2 (47 enodes) 1544087831.801 * * [misc]simplify: iters left: 1 (57 enodes) 1544087831.808 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544087831.808 * [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))))))) 1544087831.808 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087831.808 * * [misc]simplify: iters left: 6 (14 enodes) 1544087831.810 * * [misc]simplify: iters left: 5 (25 enodes) 1544087831.814 * * [misc]simplify: iters left: 4 (42 enodes) 1544087831.826 * * [misc]simplify: iters left: 3 (78 enodes) 1544087831.848 * * [misc]simplify: iters left: 2 (126 enodes) 1544087831.883 * * [misc]simplify: iters left: 1 (179 enodes) 1544087831.929 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1544087831.929 * [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)))))) 1544087831.929 * * * * [misc]progress: [ 31 / 293 ] simplifiying candidate # 1544087831.929 * [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))))))) 1544087831.930 * * [misc]simplify: iters left: 6 (17 enodes) 1544087831.932 * * [misc]simplify: iters left: 5 (30 enodes) 1544087831.936 * * [misc]simplify: iters left: 4 (39 enodes) 1544087831.942 * * [misc]simplify: iters left: 3 (56 enodes) 1544087831.950 * * [misc]simplify: iters left: 2 (73 enodes) 1544087831.972 * * [misc]simplify: iters left: 1 (94 enodes) 1544087831.996 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1544087831.996 * [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)))))))) 1544087831.996 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087831.997 * * [misc]simplify: iters left: 6 (17 enodes) 1544087831.999 * * [misc]simplify: iters left: 5 (29 enodes) 1544087832.003 * * [misc]simplify: iters left: 4 (46 enodes) 1544087832.010 * * [misc]simplify: iters left: 3 (82 enodes) 1544087832.027 * * [misc]simplify: iters left: 2 (130 enodes) 1544087832.057 * * [misc]simplify: iters left: 1 (183 enodes) 1544087832.097 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087832.097 * [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))))) 1544087832.097 * * * * [misc]progress: [ 32 / 293 ] simplifiying candidate # 1544087832.098 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087832.098 * * [misc]simplify: iters left: 6 (16 enodes) 1544087832.100 * * [misc]simplify: iters left: 5 (27 enodes) 1544087832.104 * * [misc]simplify: iters left: 4 (34 enodes) 1544087832.109 * * [misc]simplify: iters left: 3 (45 enodes) 1544087832.114 * * [misc]simplify: iters left: 2 (50 enodes) 1544087832.121 * * [misc]simplify: iters left: 1 (60 enodes) 1544087832.133 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087832.133 * [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)))))))) 1544087832.133 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087832.133 * * [misc]simplify: iters left: 6 (17 enodes) 1544087832.139 * * [misc]simplify: iters left: 5 (29 enodes) 1544087832.147 * * [misc]simplify: iters left: 4 (46 enodes) 1544087832.156 * * [misc]simplify: iters left: 3 (82 enodes) 1544087832.167 * * [misc]simplify: iters left: 2 (130 enodes) 1544087832.193 * * [misc]simplify: iters left: 1 (183 enodes) 1544087832.222 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087832.222 * [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))))) 1544087832.222 * * * * [misc]progress: [ 33 / 293 ] simplifiying candidate # 1544087832.222 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1544087832.222 * * [misc]simplify: iters left: 6 (8 enodes) 1544087832.223 * * [misc]simplify: iters left: 5 (14 enodes) 1544087832.225 * * [misc]simplify: iters left: 4 (16 enodes) 1544087832.227 * * [misc]simplify: iters left: 3 (18 enodes) 1544087832.229 * [exit]simplify: Simplified to (sqrt PI) 1544087832.229 * [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))))))) 1544087832.229 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087832.229 * * [misc]simplify: iters left: 6 (16 enodes) 1544087832.232 * * [misc]simplify: iters left: 5 (28 enodes) 1544087832.240 * * [misc]simplify: iters left: 4 (45 enodes) 1544087832.249 * * [misc]simplify: iters left: 3 (81 enodes) 1544087832.261 * * [misc]simplify: iters left: 2 (129 enodes) 1544087832.287 * * [misc]simplify: iters left: 1 (181 enodes) 1544087832.337 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087832.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087832.337 * * * * [misc]progress: [ 34 / 293 ] simplifiying candidate # 1544087832.337 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1544087832.338 * * [misc]simplify: iters left: 6 (7 enodes) 1544087832.339 * * [misc]simplify: iters left: 5 (13 enodes) 1544087832.341 * * [misc]simplify: iters left: 4 (19 enodes) 1544087832.343 * [exit]simplify: Simplified to (sqrt PI) 1544087832.343 * [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))))))) 1544087832.343 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087832.343 * * [misc]simplify: iters left: 6 (16 enodes) 1544087832.346 * * [misc]simplify: iters left: 5 (28 enodes) 1544087832.350 * * [misc]simplify: iters left: 4 (45 enodes) 1544087832.357 * * [misc]simplify: iters left: 3 (81 enodes) 1544087832.377 * * [misc]simplify: iters left: 2 (129 enodes) 1544087832.405 * * [misc]simplify: iters left: 1 (181 enodes) 1544087832.440 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087832.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087832.440 * * * * [misc]progress: [ 35 / 293 ] simplifiying candidate # 1544087832.440 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1544087832.440 * * [misc]simplify: iters left: 6 (8 enodes) 1544087832.443 * * [misc]simplify: iters left: 5 (12 enodes) 1544087832.446 * * [misc]simplify: iters left: 4 (14 enodes) 1544087832.449 * * [misc]simplify: iters left: 3 (16 enodes) 1544087832.453 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544087832.453 * [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))))))) 1544087832.454 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087832.454 * * [misc]simplify: iters left: 6 (16 enodes) 1544087832.459 * * [misc]simplify: iters left: 5 (30 enodes) 1544087832.467 * * [misc]simplify: iters left: 4 (45 enodes) 1544087832.479 * * [misc]simplify: iters left: 3 (88 enodes) 1544087832.492 * * [misc]simplify: iters left: 2 (130 enodes) 1544087832.510 * * [misc]simplify: iters left: 1 (185 enodes) 1544087832.557 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1544087832.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1544087832.557 * * * * [misc]progress: [ 36 / 293 ] simplifiying candidate # 1544087832.557 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087832.557 * * [misc]simplify: iters left: 6 (13 enodes) 1544087832.559 * * [misc]simplify: iters left: 5 (21 enodes) 1544087832.562 * * [misc]simplify: iters left: 4 (26 enodes) 1544087832.565 * * [misc]simplify: iters left: 3 (30 enodes) 1544087832.569 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1544087832.569 * [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))))) 1544087832.569 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1544087832.569 * * [misc]simplify: iters left: 6 (12 enodes) 1544087832.571 * * [misc]simplify: iters left: 5 (21 enodes) 1544087832.576 * * [misc]simplify: iters left: 4 (34 enodes) 1544087832.580 * * [misc]simplify: iters left: 3 (64 enodes) 1544087832.588 * * [misc]simplify: iters left: 2 (86 enodes) 1544087832.606 * * [misc]simplify: iters left: 1 (94 enodes) 1544087832.624 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544087832.624 * [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))))) 1544087832.625 * * * * [misc]progress: [ 37 / 293 ] simplifiying candidate # 1544087832.625 * [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))))))) 1544087832.625 * * [misc]simplify: iters left: 6 (17 enodes) 1544087832.630 * * [misc]simplify: iters left: 5 (26 enodes) 1544087832.637 * * [misc]simplify: iters left: 4 (31 enodes) 1544087832.645 * * [misc]simplify: iters left: 3 (33 enodes) 1544087832.653 * [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)))))) 1544087832.653 * [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)))))))) 1544087832.653 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087832.654 * * [misc]simplify: iters left: 6 (17 enodes) 1544087832.658 * * [misc]simplify: iters left: 5 (27 enodes) 1544087832.665 * * [misc]simplify: iters left: 4 (41 enodes) 1544087832.676 * * [misc]simplify: iters left: 3 (71 enodes) 1544087832.692 * * [misc]simplify: iters left: 2 (93 enodes) 1544087832.713 * * [misc]simplify: iters left: 1 (101 enodes) 1544087832.735 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087832.735 * [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)))))))) 1544087832.735 * * * * [misc]progress: [ 38 / 293 ] simplifiying candidate # 1544087832.735 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087832.735 * * [misc]simplify: iters left: 6 (16 enodes) 1544087832.740 * * [misc]simplify: iters left: 5 (23 enodes) 1544087832.746 * * [misc]simplify: iters left: 4 (28 enodes) 1544087832.750 * * [misc]simplify: iters left: 3 (30 enodes) 1544087832.754 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087832.754 * [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)))))))) 1544087832.754 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087832.754 * * [misc]simplify: iters left: 6 (17 enodes) 1544087832.756 * * [misc]simplify: iters left: 5 (27 enodes) 1544087832.760 * * [misc]simplify: iters left: 4 (41 enodes) 1544087832.766 * * [misc]simplify: iters left: 3 (71 enodes) 1544087832.781 * * [misc]simplify: iters left: 2 (93 enodes) 1544087832.802 * * [misc]simplify: iters left: 1 (101 enodes) 1544087832.825 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087832.825 * [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)))))))) 1544087832.825 * * * * [misc]progress: [ 39 / 293 ] simplifiying candidate # 1544087832.825 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087832.825 * * [misc]simplify: iters left: 6 (15 enodes) 1544087832.832 * * [misc]simplify: iters left: 5 (25 enodes) 1544087832.839 * * [misc]simplify: iters left: 4 (34 enodes) 1544087832.848 * * [misc]simplify: iters left: 3 (48 enodes) 1544087832.860 * * [misc]simplify: iters left: 2 (53 enodes) 1544087832.873 * * [misc]simplify: iters left: 1 (60 enodes) 1544087832.887 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087832.888 * [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))))))) 1544087832.888 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087832.888 * * [misc]simplify: iters left: 6 (15 enodes) 1544087832.892 * * [misc]simplify: iters left: 5 (26 enodes) 1544087832.900 * * [misc]simplify: iters left: 4 (42 enodes) 1544087832.911 * * [misc]simplify: iters left: 3 (78 enodes) 1544087832.922 * * [misc]simplify: iters left: 2 (126 enodes) 1544087832.950 * * [misc]simplify: iters left: 1 (179 enodes) 1544087833.003 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087833.003 * [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)))))) 1544087833.004 * * * * [misc]progress: [ 40 / 293 ] simplifiying candidate # 1544087833.004 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087833.004 * * [misc]simplify: iters left: 6 (15 enodes) 1544087833.009 * * [misc]simplify: iters left: 5 (25 enodes) 1544087833.016 * * [misc]simplify: iters left: 4 (34 enodes) 1544087833.025 * * [misc]simplify: iters left: 3 (48 enodes) 1544087833.038 * * [misc]simplify: iters left: 2 (53 enodes) 1544087833.050 * * [misc]simplify: iters left: 1 (60 enodes) 1544087833.064 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087833.064 * [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))))))) 1544087833.064 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087833.064 * * [misc]simplify: iters left: 6 (15 enodes) 1544087833.069 * * [misc]simplify: iters left: 5 (26 enodes) 1544087833.076 * * [misc]simplify: iters left: 4 (42 enodes) 1544087833.087 * * [misc]simplify: iters left: 3 (78 enodes) 1544087833.106 * * [misc]simplify: iters left: 2 (126 enodes) 1544087833.124 * * [misc]simplify: iters left: 1 (179 enodes) 1544087833.169 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087833.169 * [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)))))) 1544087833.169 * * * * [misc]progress: [ 41 / 293 ] simplifiying candidate # 1544087833.169 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087833.169 * * [misc]simplify: iters left: 6 (16 enodes) 1544087833.172 * * [misc]simplify: iters left: 5 (26 enodes) 1544087833.176 * * [misc]simplify: iters left: 4 (38 enodes) 1544087833.181 * * [misc]simplify: iters left: 3 (52 enodes) 1544087833.188 * * [misc]simplify: iters left: 2 (57 enodes) 1544087833.195 * * [misc]simplify: iters left: 1 (64 enodes) 1544087833.214 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087833.214 * [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))))))) 1544087833.214 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087833.214 * * [misc]simplify: iters left: 6 (15 enodes) 1544087833.217 * * [misc]simplify: iters left: 5 (26 enodes) 1544087833.221 * * [misc]simplify: iters left: 4 (43 enodes) 1544087833.227 * * [misc]simplify: iters left: 3 (79 enodes) 1544087833.238 * * [misc]simplify: iters left: 2 (127 enodes) 1544087833.258 * * [misc]simplify: iters left: 1 (180 enodes) 1544087833.287 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087833.287 * [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)))))) 1544087833.287 * * * * [misc]progress: [ 42 / 293 ] simplifiying candidate # 1544087833.287 * [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))))))) 1544087833.288 * * [misc]simplify: iters left: 6 (19 enodes) 1544087833.291 * * [misc]simplify: iters left: 5 (34 enodes) 1544087833.300 * * [misc]simplify: iters left: 4 (57 enodes) 1544087833.318 * * [misc]simplify: iters left: 3 (84 enodes) 1544087833.334 * * [misc]simplify: iters left: 2 (118 enodes) 1544087833.353 * * [misc]simplify: iters left: 1 (141 enodes) 1544087833.382 * [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)))))) 1544087833.382 * [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)))))))) 1544087833.382 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087833.382 * * [misc]simplify: iters left: 6 (18 enodes) 1544087833.385 * * [misc]simplify: iters left: 5 (30 enodes) 1544087833.389 * * [misc]simplify: iters left: 4 (47 enodes) 1544087833.396 * * [misc]simplify: iters left: 3 (83 enodes) 1544087833.410 * * [misc]simplify: iters left: 2 (131 enodes) 1544087833.438 * * [misc]simplify: iters left: 1 (184 enodes) 1544087833.477 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087833.477 * [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)))))) 1544087833.478 * * * * [misc]progress: [ 43 / 293 ] simplifiying candidate # 1544087833.478 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087833.478 * * [misc]simplify: iters left: 6 (18 enodes) 1544087833.484 * * [misc]simplify: iters left: 5 (29 enodes) 1544087833.492 * * [misc]simplify: iters left: 4 (41 enodes) 1544087833.504 * * [misc]simplify: iters left: 3 (55 enodes) 1544087833.511 * * [misc]simplify: iters left: 2 (60 enodes) 1544087833.519 * * [misc]simplify: iters left: 1 (67 enodes) 1544087833.527 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087833.527 * [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)))))))) 1544087833.528 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087833.528 * * [misc]simplify: iters left: 6 (18 enodes) 1544087833.530 * * [misc]simplify: iters left: 5 (30 enodes) 1544087833.538 * * [misc]simplify: iters left: 4 (47 enodes) 1544087833.552 * * [misc]simplify: iters left: 3 (83 enodes) 1544087833.573 * * [misc]simplify: iters left: 2 (131 enodes) 1544087833.609 * * [misc]simplify: iters left: 1 (184 enodes) 1544087833.661 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087833.661 * [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)))))) 1544087833.662 * * * * [misc]progress: [ 44 / 293 ] simplifiying candidate # 1544087833.662 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087833.662 * * [misc]simplify: iters left: 6 (12 enodes) 1544087833.666 * * [misc]simplify: iters left: 5 (22 enodes) 1544087833.672 * * [misc]simplify: iters left: 4 (35 enodes) 1544087833.679 * * [misc]simplify: iters left: 3 (57 enodes) 1544087833.693 * * [misc]simplify: iters left: 2 (124 enodes) 1544087833.734 * * [misc]simplify: iters left: 1 (186 enodes) 1544087833.750 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544087833.750 * [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))))))) 1544087833.750 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087833.750 * * [misc]simplify: iters left: 6 (17 enodes) 1544087833.753 * * [misc]simplify: iters left: 5 (29 enodes) 1544087833.758 * * [misc]simplify: iters left: 4 (46 enodes) 1544087833.769 * * [misc]simplify: iters left: 3 (82 enodes) 1544087833.787 * * [misc]simplify: iters left: 2 (130 enodes) 1544087833.818 * * [misc]simplify: iters left: 1 (183 enodes) 1544087833.873 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544087833.874 * [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)))))) 1544087833.874 * * * * [misc]progress: [ 45 / 293 ] simplifiying candidate # 1544087833.874 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087833.874 * * [misc]simplify: iters left: 6 (14 enodes) 1544087833.878 * * [misc]simplify: iters left: 5 (22 enodes) 1544087833.884 * * [misc]simplify: iters left: 4 (27 enodes) 1544087833.892 * * [misc]simplify: iters left: 3 (31 enodes) 1544087833.899 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087833.899 * [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))))))) 1544087833.900 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087833.900 * * [misc]simplify: iters left: 6 (15 enodes) 1544087833.905 * * [misc]simplify: iters left: 5 (26 enodes) 1544087833.912 * * [misc]simplify: iters left: 4 (42 enodes) 1544087833.925 * * [misc]simplify: iters left: 3 (78 enodes) 1544087833.945 * * [misc]simplify: iters left: 2 (126 enodes) 1544087833.982 * * [misc]simplify: iters left: 1 (179 enodes) 1544087834.009 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087834.009 * [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)))))) 1544087834.009 * * * * [misc]progress: [ 46 / 293 ] simplifiying candidate # 1544087834.009 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087834.010 * * [misc]simplify: iters left: 6 (14 enodes) 1544087834.014 * * [misc]simplify: iters left: 5 (22 enodes) 1544087834.020 * * [misc]simplify: iters left: 4 (27 enodes) 1544087834.027 * * [misc]simplify: iters left: 3 (31 enodes) 1544087834.035 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087834.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087834.035 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087834.036 * * [misc]simplify: iters left: 6 (15 enodes) 1544087834.040 * * [misc]simplify: iters left: 5 (26 enodes) 1544087834.048 * * [misc]simplify: iters left: 4 (42 enodes) 1544087834.060 * * [misc]simplify: iters left: 3 (78 enodes) 1544087834.072 * * [misc]simplify: iters left: 2 (126 enodes) 1544087834.093 * * [misc]simplify: iters left: 1 (179 enodes) 1544087834.140 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087834.140 * [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)))))) 1544087834.140 * * * * [misc]progress: [ 47 / 293 ] simplifiying candidate # 1544087834.141 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087834.141 * * [misc]simplify: iters left: 6 (15 enodes) 1544087834.143 * * [misc]simplify: iters left: 5 (23 enodes) 1544087834.146 * * [misc]simplify: iters left: 4 (31 enodes) 1544087834.150 * * [misc]simplify: iters left: 3 (35 enodes) 1544087834.155 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087834.155 * [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))))))) 1544087834.155 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087834.155 * * [misc]simplify: iters left: 6 (15 enodes) 1544087834.158 * * [misc]simplify: iters left: 5 (26 enodes) 1544087834.161 * * [misc]simplify: iters left: 4 (43 enodes) 1544087834.168 * * [misc]simplify: iters left: 3 (79 enodes) 1544087834.191 * * [misc]simplify: iters left: 2 (127 enodes) 1544087834.225 * * [misc]simplify: iters left: 1 (180 enodes) 1544087834.276 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087834.276 * [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)))))) 1544087834.276 * * * * [misc]progress: [ 48 / 293 ] simplifiying candidate # 1544087834.277 * [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))))))) 1544087834.277 * * [misc]simplify: iters left: 6 (18 enodes) 1544087834.283 * * [misc]simplify: iters left: 5 (29 enodes) 1544087834.291 * * [misc]simplify: iters left: 4 (39 enodes) 1544087834.301 * * [misc]simplify: iters left: 3 (50 enodes) 1544087834.314 * * [misc]simplify: iters left: 2 (58 enodes) 1544087834.328 * * [misc]simplify: iters left: 1 (60 enodes) 1544087834.345 * [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)))))) 1544087834.345 * [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)))))))) 1544087834.346 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087834.346 * * [misc]simplify: iters left: 6 (18 enodes) 1544087834.351 * * [misc]simplify: iters left: 5 (30 enodes) 1544087834.360 * * [misc]simplify: iters left: 4 (47 enodes) 1544087834.373 * * [misc]simplify: iters left: 3 (83 enodes) 1544087834.394 * * [misc]simplify: iters left: 2 (131 enodes) 1544087834.424 * * [misc]simplify: iters left: 1 (184 enodes) 1544087834.457 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087834.457 * [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)))))) 1544087834.458 * * * * [misc]progress: [ 49 / 293 ] simplifiying candidate # 1544087834.458 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087834.458 * * [misc]simplify: iters left: 6 (17 enodes) 1544087834.463 * * [misc]simplify: iters left: 5 (26 enodes) 1544087834.470 * * [misc]simplify: iters left: 4 (34 enodes) 1544087834.479 * * [misc]simplify: iters left: 3 (38 enodes) 1544087834.488 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087834.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544087834.489 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087834.489 * * [misc]simplify: iters left: 6 (18 enodes) 1544087834.495 * * [misc]simplify: iters left: 5 (30 enodes) 1544087834.503 * * [misc]simplify: iters left: 4 (47 enodes) 1544087834.517 * * [misc]simplify: iters left: 3 (83 enodes) 1544087834.538 * * [misc]simplify: iters left: 2 (131 enodes) 1544087834.573 * * [misc]simplify: iters left: 1 (184 enodes) 1544087834.618 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087834.618 * [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)))))) 1544087834.618 * * * * [misc]progress: [ 50 / 293 ] simplifiying candidate # 1544087834.618 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1544087834.619 * * [misc]simplify: iters left: 6 (11 enodes) 1544087834.620 * * [misc]simplify: iters left: 5 (19 enodes) 1544087834.623 * * [misc]simplify: iters left: 4 (28 enodes) 1544087834.627 * * [misc]simplify: iters left: 3 (32 enodes) 1544087834.630 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544087834.630 * [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))))))) 1544087834.630 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087834.630 * * [misc]simplify: iters left: 6 (17 enodes) 1544087834.633 * * [misc]simplify: iters left: 5 (29 enodes) 1544087834.637 * * [misc]simplify: iters left: 4 (46 enodes) 1544087834.643 * * [misc]simplify: iters left: 3 (82 enodes) 1544087834.657 * * [misc]simplify: iters left: 2 (130 enodes) 1544087834.692 * * [misc]simplify: iters left: 1 (183 enodes) 1544087834.747 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087834.747 * [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)))))) 1544087834.747 * * * * [misc]progress: [ 51 / 293 ] simplifiying candidate # 1544087834.747 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544087834.747 * * [misc]simplify: iters left: 6 (12 enodes) 1544087834.751 * * [misc]simplify: iters left: 5 (22 enodes) 1544087834.757 * * [misc]simplify: iters left: 4 (26 enodes) 1544087834.764 * * [misc]simplify: iters left: 3 (37 enodes) 1544087834.773 * * [misc]simplify: iters left: 2 (42 enodes) 1544087834.783 * * [misc]simplify: iters left: 1 (51 enodes) 1544087834.789 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087834.789 * [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))))))) 1544087834.789 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087834.789 * * [misc]simplify: iters left: 6 (14 enodes) 1544087834.791 * * [misc]simplify: iters left: 5 (25 enodes) 1544087834.795 * * [misc]simplify: iters left: 4 (41 enodes) 1544087834.801 * * [misc]simplify: iters left: 3 (77 enodes) 1544087834.811 * * [misc]simplify: iters left: 2 (125 enodes) 1544087834.842 * * [misc]simplify: iters left: 1 (178 enodes) 1544087834.884 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087834.884 * [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))))) 1544087834.884 * * * * [misc]progress: [ 52 / 293 ] simplifiying candidate # 1544087834.884 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544087834.884 * * [misc]simplify: iters left: 6 (12 enodes) 1544087834.886 * * [misc]simplify: iters left: 5 (22 enodes) 1544087834.889 * * [misc]simplify: iters left: 4 (26 enodes) 1544087834.892 * * [misc]simplify: iters left: 3 (37 enodes) 1544087834.896 * * [misc]simplify: iters left: 2 (42 enodes) 1544087834.902 * * [misc]simplify: iters left: 1 (51 enodes) 1544087834.907 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087834.907 * [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))))))) 1544087834.908 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087834.908 * * [misc]simplify: iters left: 6 (14 enodes) 1544087834.910 * * [misc]simplify: iters left: 5 (25 enodes) 1544087834.913 * * [misc]simplify: iters left: 4 (41 enodes) 1544087834.921 * * [misc]simplify: iters left: 3 (77 enodes) 1544087834.934 * * [misc]simplify: iters left: 2 (125 enodes) 1544087834.968 * * [misc]simplify: iters left: 1 (178 enodes) 1544087835.018 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087835.018 * [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))))) 1544087835.018 * * * * [misc]progress: [ 53 / 293 ] simplifiying candidate # 1544087835.018 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087835.018 * * [misc]simplify: iters left: 6 (14 enodes) 1544087835.023 * * [misc]simplify: iters left: 5 (24 enodes) 1544087835.029 * * [misc]simplify: iters left: 4 (31 enodes) 1544087835.037 * * [misc]simplify: iters left: 3 (42 enodes) 1544087835.047 * * [misc]simplify: iters left: 2 (47 enodes) 1544087835.060 * * [misc]simplify: iters left: 1 (57 enodes) 1544087835.074 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544087835.074 * [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))))))) 1544087835.074 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087835.074 * * [misc]simplify: iters left: 6 (14 enodes) 1544087835.079 * * [misc]simplify: iters left: 5 (25 enodes) 1544087835.086 * * [misc]simplify: iters left: 4 (42 enodes) 1544087835.098 * * [misc]simplify: iters left: 3 (78 enodes) 1544087835.113 * * [misc]simplify: iters left: 2 (126 enodes) 1544087835.131 * * [misc]simplify: iters left: 1 (179 enodes) 1544087835.170 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1544087835.170 * [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)))))) 1544087835.170 * * * * [misc]progress: [ 54 / 293 ] simplifiying candidate # 1544087835.170 * [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))))))) 1544087835.170 * * [misc]simplify: iters left: 6 (17 enodes) 1544087835.176 * * [misc]simplify: iters left: 5 (30 enodes) 1544087835.185 * * [misc]simplify: iters left: 4 (39 enodes) 1544087835.196 * * [misc]simplify: iters left: 3 (56 enodes) 1544087835.208 * * [misc]simplify: iters left: 2 (73 enodes) 1544087835.219 * * [misc]simplify: iters left: 1 (94 enodes) 1544087835.235 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1544087835.235 * [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)))))))) 1544087835.235 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087835.235 * * [misc]simplify: iters left: 6 (17 enodes) 1544087835.238 * * [misc]simplify: iters left: 5 (29 enodes) 1544087835.245 * * [misc]simplify: iters left: 4 (46 enodes) 1544087835.258 * * [misc]simplify: iters left: 3 (82 enodes) 1544087835.279 * * [misc]simplify: iters left: 2 (130 enodes) 1544087835.318 * * [misc]simplify: iters left: 1 (183 enodes) 1544087835.352 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087835.352 * [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))))) 1544087835.352 * * * * [misc]progress: [ 55 / 293 ] simplifiying candidate # 1544087835.352 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087835.352 * * [misc]simplify: iters left: 6 (16 enodes) 1544087835.355 * * [misc]simplify: iters left: 5 (27 enodes) 1544087835.359 * * [misc]simplify: iters left: 4 (34 enodes) 1544087835.364 * * [misc]simplify: iters left: 3 (45 enodes) 1544087835.369 * * [misc]simplify: iters left: 2 (50 enodes) 1544087835.375 * * [misc]simplify: iters left: 1 (60 enodes) 1544087835.386 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087835.386 * [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)))))))) 1544087835.386 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087835.386 * * [misc]simplify: iters left: 6 (17 enodes) 1544087835.390 * * [misc]simplify: iters left: 5 (29 enodes) 1544087835.398 * * [misc]simplify: iters left: 4 (46 enodes) 1544087835.412 * * [misc]simplify: iters left: 3 (82 enodes) 1544087835.433 * * [misc]simplify: iters left: 2 (130 enodes) 1544087835.459 * * [misc]simplify: iters left: 1 (183 enodes) 1544087835.486 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087835.486 * [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))))) 1544087835.486 * * * * [misc]progress: [ 56 / 293 ] simplifiying candidate # 1544087835.487 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1544087835.487 * * [misc]simplify: iters left: 6 (8 enodes) 1544087835.488 * * [misc]simplify: iters left: 5 (14 enodes) 1544087835.491 * * [misc]simplify: iters left: 4 (16 enodes) 1544087835.494 * * [misc]simplify: iters left: 3 (18 enodes) 1544087835.497 * [exit]simplify: Simplified to (sqrt PI) 1544087835.498 * [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))))))) 1544087835.498 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087835.498 * * [misc]simplify: iters left: 6 (16 enodes) 1544087835.503 * * [misc]simplify: iters left: 5 (28 enodes) 1544087835.511 * * [misc]simplify: iters left: 4 (45 enodes) 1544087835.524 * * [misc]simplify: iters left: 3 (81 enodes) 1544087835.544 * * [misc]simplify: iters left: 2 (129 enodes) 1544087835.578 * * [misc]simplify: iters left: 1 (181 enodes) 1544087835.603 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087835.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087835.604 * * * * [misc]progress: [ 57 / 293 ] simplifiying candidate # 1544087835.604 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1544087835.604 * * [misc]simplify: iters left: 6 (7 enodes) 1544087835.606 * * [misc]simplify: iters left: 5 (13 enodes) 1544087835.608 * * [misc]simplify: iters left: 4 (19 enodes) 1544087835.610 * [exit]simplify: Simplified to (sqrt PI) 1544087835.610 * [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))))))) 1544087835.610 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087835.610 * * [misc]simplify: iters left: 6 (16 enodes) 1544087835.613 * * [misc]simplify: iters left: 5 (28 enodes) 1544087835.617 * * [misc]simplify: iters left: 4 (45 enodes) 1544087835.623 * * [misc]simplify: iters left: 3 (81 enodes) 1544087835.639 * * [misc]simplify: iters left: 2 (129 enodes) 1544087835.674 * * [misc]simplify: iters left: 1 (181 enodes) 1544087835.723 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087835.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087835.723 * * * * [misc]progress: [ 58 / 293 ] simplifiying candidate # 1544087835.724 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1544087835.724 * * [misc]simplify: iters left: 6 (8 enodes) 1544087835.726 * * [misc]simplify: iters left: 5 (12 enodes) 1544087835.729 * * [misc]simplify: iters left: 4 (14 enodes) 1544087835.733 * * [misc]simplify: iters left: 3 (16 enodes) 1544087835.736 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544087835.736 * [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))))))) 1544087835.737 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087835.737 * * [misc]simplify: iters left: 6 (16 enodes) 1544087835.741 * * [misc]simplify: iters left: 5 (30 enodes) 1544087835.749 * * [misc]simplify: iters left: 4 (45 enodes) 1544087835.762 * * [misc]simplify: iters left: 3 (88 enodes) 1544087835.783 * * [misc]simplify: iters left: 2 (130 enodes) 1544087835.815 * * [misc]simplify: iters left: 1 (185 enodes) 1544087835.866 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1544087835.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1544087835.866 * * * * [misc]progress: [ 59 / 293 ] simplifiying candidate # 1544087835.866 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087835.866 * * [misc]simplify: iters left: 6 (13 enodes) 1544087835.868 * * [misc]simplify: iters left: 5 (21 enodes) 1544087835.871 * * [misc]simplify: iters left: 4 (26 enodes) 1544087835.875 * * [misc]simplify: iters left: 3 (30 enodes) 1544087835.878 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1544087835.878 * [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))))) 1544087835.879 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1544087835.879 * * [misc]simplify: iters left: 6 (12 enodes) 1544087835.881 * * [misc]simplify: iters left: 5 (21 enodes) 1544087835.883 * * [misc]simplify: iters left: 4 (34 enodes) 1544087835.888 * * [misc]simplify: iters left: 3 (64 enodes) 1544087835.896 * * [misc]simplify: iters left: 2 (86 enodes) 1544087835.905 * * [misc]simplify: iters left: 1 (94 enodes) 1544087835.915 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544087835.915 * [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))))) 1544087835.915 * * * * [misc]progress: [ 60 / 293 ] simplifiying candidate # 1544087835.915 * [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))))))) 1544087835.916 * * [misc]simplify: iters left: 6 (17 enodes) 1544087835.918 * * [misc]simplify: iters left: 5 (25 enodes) 1544087835.922 * * [misc]simplify: iters left: 4 (29 enodes) 1544087835.926 * * [misc]simplify: iters left: 3 (32 enodes) 1544087835.931 * * [misc]simplify: iters left: 2 (33 enodes) 1544087835.936 * [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))))))) 1544087835.936 * [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)))))))) 1544087835.937 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087835.937 * * [misc]simplify: iters left: 6 (17 enodes) 1544087835.939 * * [misc]simplify: iters left: 5 (26 enodes) 1544087835.943 * * [misc]simplify: iters left: 4 (45 enodes) 1544087835.949 * * [misc]simplify: iters left: 3 (74 enodes) 1544087835.958 * * [misc]simplify: iters left: 2 (90 enodes) 1544087835.968 * * [misc]simplify: iters left: 1 (100 enodes) 1544087835.980 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087835.980 * [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)))))))) 1544087835.980 * * * * [misc]progress: [ 61 / 293 ] simplifiying candidate # 1544087835.980 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087835.980 * * [misc]simplify: iters left: 6 (16 enodes) 1544087835.983 * * [misc]simplify: iters left: 5 (22 enodes) 1544087835.986 * * [misc]simplify: iters left: 4 (26 enodes) 1544087835.992 * * [misc]simplify: iters left: 3 (29 enodes) 1544087836.000 * * [misc]simplify: iters left: 2 (30 enodes) 1544087836.007 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087836.007 * [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)))))))) 1544087836.008 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087836.008 * * [misc]simplify: iters left: 6 (17 enodes) 1544087836.013 * * [misc]simplify: iters left: 5 (26 enodes) 1544087836.020 * * [misc]simplify: iters left: 4 (45 enodes) 1544087836.034 * * [misc]simplify: iters left: 3 (74 enodes) 1544087836.051 * * [misc]simplify: iters left: 2 (90 enodes) 1544087836.069 * * [misc]simplify: iters left: 1 (100 enodes) 1544087836.091 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087836.091 * [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)))))))) 1544087836.091 * * * * [misc]progress: [ 62 / 293 ] simplifiying candidate # 1544087836.091 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087836.092 * * [misc]simplify: iters left: 6 (15 enodes) 1544087836.097 * * [misc]simplify: iters left: 5 (24 enodes) 1544087836.104 * * [misc]simplify: iters left: 4 (32 enodes) 1544087836.113 * * [misc]simplify: iters left: 3 (47 enodes) 1544087836.126 * * [misc]simplify: iters left: 2 (53 enodes) 1544087836.139 * * [misc]simplify: iters left: 1 (60 enodes) 1544087836.153 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544087836.153 * [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))))))) 1544087836.154 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087836.154 * * [misc]simplify: iters left: 6 (15 enodes) 1544087836.158 * * [misc]simplify: iters left: 5 (25 enodes) 1544087836.165 * * [misc]simplify: iters left: 4 (46 enodes) 1544087836.177 * * [misc]simplify: iters left: 3 (81 enodes) 1544087836.199 * * [misc]simplify: iters left: 2 (123 enodes) 1544087836.230 * * [misc]simplify: iters left: 1 (177 enodes) 1544087836.280 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087836.280 * [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)))))) 1544087836.280 * * * * [misc]progress: [ 63 / 293 ] simplifiying candidate # 1544087836.280 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087836.280 * * [misc]simplify: iters left: 6 (15 enodes) 1544087836.285 * * [misc]simplify: iters left: 5 (24 enodes) 1544087836.291 * * [misc]simplify: iters left: 4 (32 enodes) 1544087836.300 * * [misc]simplify: iters left: 3 (47 enodes) 1544087836.312 * * [misc]simplify: iters left: 2 (53 enodes) 1544087836.326 * * [misc]simplify: iters left: 1 (60 enodes) 1544087836.340 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544087836.340 * [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))))))) 1544087836.340 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087836.340 * * [misc]simplify: iters left: 6 (15 enodes) 1544087836.345 * * [misc]simplify: iters left: 5 (25 enodes) 1544087836.351 * * [misc]simplify: iters left: 4 (46 enodes) 1544087836.364 * * [misc]simplify: iters left: 3 (81 enodes) 1544087836.383 * * [misc]simplify: iters left: 2 (123 enodes) 1544087836.416 * * [misc]simplify: iters left: 1 (177 enodes) 1544087836.448 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087836.448 * [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)))))) 1544087836.448 * * * * [misc]progress: [ 64 / 293 ] simplifiying candidate # 1544087836.449 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087836.449 * * [misc]simplify: iters left: 6 (16 enodes) 1544087836.452 * * [misc]simplify: iters left: 5 (25 enodes) 1544087836.460 * * [misc]simplify: iters left: 4 (36 enodes) 1544087836.470 * * [misc]simplify: iters left: 3 (51 enodes) 1544087836.477 * * [misc]simplify: iters left: 2 (57 enodes) 1544087836.485 * * [misc]simplify: iters left: 1 (64 enodes) 1544087836.493 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1544087836.493 * [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))))))) 1544087836.493 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087836.493 * * [misc]simplify: iters left: 6 (15 enodes) 1544087836.495 * * [misc]simplify: iters left: 5 (25 enodes) 1544087836.499 * * [misc]simplify: iters left: 4 (47 enodes) 1544087836.505 * * [misc]simplify: iters left: 3 (82 enodes) 1544087836.524 * * [misc]simplify: iters left: 2 (124 enodes) 1544087836.549 * * [misc]simplify: iters left: 1 (178 enodes) 1544087836.583 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087836.583 * [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)))))) 1544087836.583 * * * * [misc]progress: [ 65 / 293 ] simplifiying candidate # 1544087836.583 * [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))))))) 1544087836.583 * * [misc]simplify: iters left: 6 (19 enodes) 1544087836.590 * * [misc]simplify: iters left: 5 (33 enodes) 1544087836.601 * * [misc]simplify: iters left: 4 (55 enodes) 1544087836.619 * * [misc]simplify: iters left: 3 (83 enodes) 1544087836.644 * * [misc]simplify: iters left: 2 (118 enodes) 1544087836.680 * * [misc]simplify: iters left: 1 (141 enodes) 1544087836.727 * [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)))))) 1544087836.727 * [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)))))))) 1544087836.727 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087836.727 * * [misc]simplify: iters left: 6 (18 enodes) 1544087836.733 * * [misc]simplify: iters left: 5 (29 enodes) 1544087836.742 * * [misc]simplify: iters left: 4 (51 enodes) 1544087836.757 * * [misc]simplify: iters left: 3 (86 enodes) 1544087836.773 * * [misc]simplify: iters left: 2 (128 enodes) 1544087836.793 * * [misc]simplify: iters left: 1 (183 enodes) 1544087836.835 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087836.835 * [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)))))) 1544087836.835 * * * * [misc]progress: [ 66 / 293 ] simplifiying candidate # 1544087836.835 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087836.835 * * [misc]simplify: iters left: 6 (18 enodes) 1544087836.839 * * [misc]simplify: iters left: 5 (28 enodes) 1544087836.843 * * [misc]simplify: iters left: 4 (39 enodes) 1544087836.849 * * [misc]simplify: iters left: 3 (54 enodes) 1544087836.861 * * [misc]simplify: iters left: 2 (60 enodes) 1544087836.875 * * [misc]simplify: iters left: 1 (67 enodes) 1544087836.892 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1544087836.892 * [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)))))))) 1544087836.892 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087836.893 * * [misc]simplify: iters left: 6 (18 enodes) 1544087836.898 * * [misc]simplify: iters left: 5 (29 enodes) 1544087836.907 * * [misc]simplify: iters left: 4 (51 enodes) 1544087836.923 * * [misc]simplify: iters left: 3 (86 enodes) 1544087836.946 * * [misc]simplify: iters left: 2 (128 enodes) 1544087836.980 * * [misc]simplify: iters left: 1 (183 enodes) 1544087837.033 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087837.033 * [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)))))) 1544087837.033 * * * * [misc]progress: [ 67 / 293 ] simplifiying candidate # 1544087837.033 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087837.033 * * [misc]simplify: iters left: 6 (12 enodes) 1544087837.038 * * [misc]simplify: iters left: 5 (21 enodes) 1544087837.045 * * [misc]simplify: iters left: 4 (33 enodes) 1544087837.054 * * [misc]simplify: iters left: 3 (56 enodes) 1544087837.067 * * [misc]simplify: iters left: 2 (119 enodes) 1544087837.094 * * [misc]simplify: iters left: 1 (173 enodes) 1544087837.119 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544087837.120 * [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))))))) 1544087837.120 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087837.120 * * [misc]simplify: iters left: 6 (17 enodes) 1544087837.125 * * [misc]simplify: iters left: 5 (28 enodes) 1544087837.134 * * [misc]simplify: iters left: 4 (50 enodes) 1544087837.148 * * [misc]simplify: iters left: 3 (85 enodes) 1544087837.171 * * [misc]simplify: iters left: 2 (127 enodes) 1544087837.193 * * [misc]simplify: iters left: 1 (181 enodes) 1544087837.227 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087837.227 * [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)))))) 1544087837.228 * * * * [misc]progress: [ 68 / 293 ] simplifiying candidate # 1544087837.228 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087837.228 * * [misc]simplify: iters left: 6 (14 enodes) 1544087837.233 * * [misc]simplify: iters left: 5 (21 enodes) 1544087837.239 * * [misc]simplify: iters left: 4 (25 enodes) 1544087837.246 * * [misc]simplify: iters left: 3 (30 enodes) 1544087837.254 * * [misc]simplify: iters left: 2 (31 enodes) 1544087837.260 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087837.261 * [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))))))) 1544087837.261 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087837.261 * * [misc]simplify: iters left: 6 (15 enodes) 1544087837.263 * * [misc]simplify: iters left: 5 (25 enodes) 1544087837.267 * * [misc]simplify: iters left: 4 (46 enodes) 1544087837.275 * * [misc]simplify: iters left: 3 (81 enodes) 1544087837.286 * * [misc]simplify: iters left: 2 (123 enodes) 1544087837.314 * * [misc]simplify: iters left: 1 (177 enodes) 1544087837.364 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087837.364 * [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)))))) 1544087837.364 * * * * [misc]progress: [ 69 / 293 ] simplifiying candidate # 1544087837.364 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087837.364 * * [misc]simplify: iters left: 6 (14 enodes) 1544087837.369 * * [misc]simplify: iters left: 5 (21 enodes) 1544087837.375 * * [misc]simplify: iters left: 4 (25 enodes) 1544087837.383 * * [misc]simplify: iters left: 3 (30 enodes) 1544087837.390 * * [misc]simplify: iters left: 2 (31 enodes) 1544087837.398 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087837.398 * [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))))))) 1544087837.398 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087837.399 * * [misc]simplify: iters left: 6 (15 enodes) 1544087837.405 * * [misc]simplify: iters left: 5 (25 enodes) 1544087837.413 * * [misc]simplify: iters left: 4 (46 enodes) 1544087837.423 * * [misc]simplify: iters left: 3 (81 enodes) 1544087837.433 * * [misc]simplify: iters left: 2 (123 enodes) 1544087837.450 * * [misc]simplify: iters left: 1 (177 enodes) 1544087837.498 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087837.498 * [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)))))) 1544087837.498 * * * * [misc]progress: [ 70 / 293 ] simplifiying candidate # 1544087837.498 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087837.498 * * [misc]simplify: iters left: 6 (15 enodes) 1544087837.504 * * [misc]simplify: iters left: 5 (22 enodes) 1544087837.510 * * [misc]simplify: iters left: 4 (29 enodes) 1544087837.521 * * [misc]simplify: iters left: 3 (34 enodes) 1544087837.530 * * [misc]simplify: iters left: 2 (35 enodes) 1544087837.538 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087837.538 * [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))))))) 1544087837.539 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087837.539 * * [misc]simplify: iters left: 6 (15 enodes) 1544087837.543 * * [misc]simplify: iters left: 5 (25 enodes) 1544087837.550 * * [misc]simplify: iters left: 4 (47 enodes) 1544087837.563 * * [misc]simplify: iters left: 3 (82 enodes) 1544087837.580 * * [misc]simplify: iters left: 2 (124 enodes) 1544087837.610 * * [misc]simplify: iters left: 1 (178 enodes) 1544087837.655 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087837.655 * [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)))))) 1544087837.655 * * * * [misc]progress: [ 71 / 293 ] simplifiying candidate # 1544087837.656 * [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))))))) 1544087837.656 * * [misc]simplify: iters left: 6 (18 enodes) 1544087837.661 * * [misc]simplify: iters left: 5 (28 enodes) 1544087837.669 * * [misc]simplify: iters left: 4 (37 enodes) 1544087837.679 * * [misc]simplify: iters left: 3 (49 enodes) 1544087837.693 * * [misc]simplify: iters left: 2 (58 enodes) 1544087837.707 * * [misc]simplify: iters left: 1 (60 enodes) 1544087837.722 * [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))) 1544087837.723 * [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)))))))) 1544087837.723 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087837.723 * * [misc]simplify: iters left: 6 (18 enodes) 1544087837.728 * * [misc]simplify: iters left: 5 (29 enodes) 1544087837.732 * * [misc]simplify: iters left: 4 (51 enodes) 1544087837.739 * * [misc]simplify: iters left: 3 (86 enodes) 1544087837.752 * * [misc]simplify: iters left: 2 (128 enodes) 1544087837.789 * * [misc]simplify: iters left: 1 (183 enodes) 1544087837.840 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087837.840 * [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)))))) 1544087837.840 * * * * [misc]progress: [ 72 / 293 ] simplifiying candidate # 1544087837.841 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087837.841 * * [misc]simplify: iters left: 6 (17 enodes) 1544087837.846 * * [misc]simplify: iters left: 5 (25 enodes) 1544087837.853 * * [misc]simplify: iters left: 4 (32 enodes) 1544087837.861 * * [misc]simplify: iters left: 3 (37 enodes) 1544087837.869 * * [misc]simplify: iters left: 2 (38 enodes) 1544087837.878 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087837.878 * [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)))))))) 1544087837.879 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087837.879 * * [misc]simplify: iters left: 6 (18 enodes) 1544087837.884 * * [misc]simplify: iters left: 5 (29 enodes) 1544087837.892 * * [misc]simplify: iters left: 4 (51 enodes) 1544087837.907 * * [misc]simplify: iters left: 3 (86 enodes) 1544087837.930 * * [misc]simplify: iters left: 2 (128 enodes) 1544087837.955 * * [misc]simplify: iters left: 1 (183 enodes) 1544087837.981 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087837.981 * [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)))))) 1544087837.981 * * * * [misc]progress: [ 73 / 293 ] simplifiying candidate # 1544087837.981 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1544087837.981 * * [misc]simplify: iters left: 6 (11 enodes) 1544087837.983 * * [misc]simplify: iters left: 5 (18 enodes) 1544087837.986 * * [misc]simplify: iters left: 4 (26 enodes) 1544087837.989 * * [misc]simplify: iters left: 3 (31 enodes) 1544087837.993 * * [misc]simplify: iters left: 2 (32 enodes) 1544087837.996 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544087837.996 * [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))))))) 1544087837.996 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087837.996 * * [misc]simplify: iters left: 6 (17 enodes) 1544087837.998 * * [misc]simplify: iters left: 5 (28 enodes) 1544087838.003 * * [misc]simplify: iters left: 4 (50 enodes) 1544087838.015 * * [misc]simplify: iters left: 3 (85 enodes) 1544087838.036 * * [misc]simplify: iters left: 2 (127 enodes) 1544087838.053 * * [misc]simplify: iters left: 1 (181 enodes) 1544087838.079 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087838.079 * [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)))))) 1544087838.079 * * * * [misc]progress: [ 74 / 293 ] simplifiying candidate # 1544087838.079 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544087838.079 * * [misc]simplify: iters left: 6 (12 enodes) 1544087838.082 * * [misc]simplify: iters left: 5 (21 enodes) 1544087838.085 * * [misc]simplify: iters left: 4 (24 enodes) 1544087838.089 * * [misc]simplify: iters left: 3 (36 enodes) 1544087838.096 * * [misc]simplify: iters left: 2 (42 enodes) 1544087838.109 * * [misc]simplify: iters left: 1 (51 enodes) 1544087838.120 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087838.120 * [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))))))) 1544087838.121 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087838.121 * * [misc]simplify: iters left: 6 (14 enodes) 1544087838.125 * * [misc]simplify: iters left: 5 (24 enodes) 1544087838.132 * * [misc]simplify: iters left: 4 (45 enodes) 1544087838.142 * * [misc]simplify: iters left: 3 (80 enodes) 1544087838.153 * * [misc]simplify: iters left: 2 (122 enodes) 1544087838.170 * * [misc]simplify: iters left: 1 (177 enodes) 1544087838.202 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544087838.202 * [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))))) 1544087838.202 * * * * [misc]progress: [ 75 / 293 ] simplifiying candidate # 1544087838.203 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544087838.203 * * [misc]simplify: iters left: 6 (12 enodes) 1544087838.205 * * [misc]simplify: iters left: 5 (21 enodes) 1544087838.208 * * [misc]simplify: iters left: 4 (24 enodes) 1544087838.212 * * [misc]simplify: iters left: 3 (36 enodes) 1544087838.217 * * [misc]simplify: iters left: 2 (42 enodes) 1544087838.222 * * [misc]simplify: iters left: 1 (51 enodes) 1544087838.228 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087838.228 * [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))))))) 1544087838.228 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087838.228 * * [misc]simplify: iters left: 6 (14 enodes) 1544087838.230 * * [misc]simplify: iters left: 5 (24 enodes) 1544087838.234 * * [misc]simplify: iters left: 4 (45 enodes) 1544087838.241 * * [misc]simplify: iters left: 3 (80 enodes) 1544087838.251 * * [misc]simplify: iters left: 2 (122 enodes) 1544087838.268 * * [misc]simplify: iters left: 1 (177 enodes) 1544087838.295 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544087838.295 * [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))))) 1544087838.295 * * * * [misc]progress: [ 76 / 293 ] simplifiying candidate # 1544087838.295 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087838.296 * * [misc]simplify: iters left: 6 (14 enodes) 1544087838.298 * * [misc]simplify: iters left: 5 (23 enodes) 1544087838.304 * * [misc]simplify: iters left: 4 (29 enodes) 1544087838.312 * * [misc]simplify: iters left: 3 (41 enodes) 1544087838.322 * * [misc]simplify: iters left: 2 (47 enodes) 1544087838.334 * * [misc]simplify: iters left: 1 (57 enodes) 1544087838.347 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544087838.347 * [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))))))) 1544087838.348 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087838.348 * * [misc]simplify: iters left: 6 (14 enodes) 1544087838.352 * * [misc]simplify: iters left: 5 (24 enodes) 1544087838.360 * * [misc]simplify: iters left: 4 (46 enodes) 1544087838.372 * * [misc]simplify: iters left: 3 (81 enodes) 1544087838.382 * * [misc]simplify: iters left: 2 (123 enodes) 1544087838.401 * * [misc]simplify: iters left: 1 (178 enodes) 1544087838.434 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087838.434 * [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))))) 1544087838.434 * * * * [misc]progress: [ 77 / 293 ] simplifiying candidate # 1544087838.434 * [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))))))) 1544087838.434 * * [misc]simplify: iters left: 6 (17 enodes) 1544087838.440 * * [misc]simplify: iters left: 5 (29 enodes) 1544087838.449 * * [misc]simplify: iters left: 4 (37 enodes) 1544087838.455 * * [misc]simplify: iters left: 3 (55 enodes) 1544087838.463 * * [misc]simplify: iters left: 2 (74 enodes) 1544087838.474 * * [misc]simplify: iters left: 1 (95 enodes) 1544087838.503 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1544087838.503 * [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)))))))) 1544087838.503 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087838.503 * * [misc]simplify: iters left: 6 (17 enodes) 1544087838.506 * * [misc]simplify: iters left: 5 (28 enodes) 1544087838.510 * * [misc]simplify: iters left: 4 (50 enodes) 1544087838.518 * * [misc]simplify: iters left: 3 (85 enodes) 1544087838.530 * * [misc]simplify: iters left: 2 (127 enodes) 1544087838.550 * * [misc]simplify: iters left: 1 (181 enodes) 1544087838.584 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087838.585 * [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))))) 1544087838.585 * * * * [misc]progress: [ 78 / 293 ] simplifiying candidate # 1544087838.585 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087838.585 * * [misc]simplify: iters left: 6 (16 enodes) 1544087838.588 * * [misc]simplify: iters left: 5 (26 enodes) 1544087838.592 * * [misc]simplify: iters left: 4 (32 enodes) 1544087838.596 * * [misc]simplify: iters left: 3 (44 enodes) 1544087838.602 * * [misc]simplify: iters left: 2 (50 enodes) 1544087838.609 * * [misc]simplify: iters left: 1 (60 enodes) 1544087838.623 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087838.623 * [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)))))))) 1544087838.623 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087838.624 * * [misc]simplify: iters left: 6 (17 enodes) 1544087838.629 * * [misc]simplify: iters left: 5 (28 enodes) 1544087838.637 * * [misc]simplify: iters left: 4 (50 enodes) 1544087838.647 * * [misc]simplify: iters left: 3 (85 enodes) 1544087838.658 * * [misc]simplify: iters left: 2 (127 enodes) 1544087838.683 * * [misc]simplify: iters left: 1 (181 enodes) 1544087838.728 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087838.728 * [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))))) 1544087838.728 * * * * [misc]progress: [ 79 / 293 ] simplifiying candidate # 1544087838.728 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1544087838.728 * * [misc]simplify: iters left: 6 (8 enodes) 1544087838.730 * * [misc]simplify: iters left: 5 (13 enodes) 1544087838.732 * * [misc]simplify: iters left: 4 (14 enodes) 1544087838.733 * * [misc]simplify: iters left: 3 (17 enodes) 1544087838.735 * * [misc]simplify: iters left: 2 (18 enodes) 1544087838.738 * * [misc]simplify: iters left: 1 (20 enodes) 1544087838.739 * [exit]simplify: Simplified to (sqrt PI) 1544087838.740 * [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))))))) 1544087838.740 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087838.740 * * [misc]simplify: iters left: 6 (16 enodes) 1544087838.742 * * [misc]simplify: iters left: 5 (27 enodes) 1544087838.746 * * [misc]simplify: iters left: 4 (49 enodes) 1544087838.755 * * [misc]simplify: iters left: 3 (84 enodes) 1544087838.775 * * [misc]simplify: iters left: 2 (126 enodes) 1544087838.811 * * [misc]simplify: iters left: 1 (181 enodes) 1544087838.862 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087838.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087838.863 * * * * [misc]progress: [ 80 / 293 ] simplifiying candidate # 1544087838.863 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1544087838.863 * * [misc]simplify: iters left: 6 (7 enodes) 1544087838.866 * * [misc]simplify: iters left: 5 (12 enodes) 1544087838.868 * * [misc]simplify: iters left: 4 (17 enodes) 1544087838.871 * * [misc]simplify: iters left: 3 (19 enodes) 1544087838.872 * [exit]simplify: Simplified to (sqrt PI) 1544087838.872 * [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))))))) 1544087838.873 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087838.873 * * [misc]simplify: iters left: 6 (16 enodes) 1544087838.875 * * [misc]simplify: iters left: 5 (27 enodes) 1544087838.880 * * [misc]simplify: iters left: 4 (49 enodes) 1544087838.887 * * [misc]simplify: iters left: 3 (84 enodes) 1544087838.901 * * [misc]simplify: iters left: 2 (126 enodes) 1544087838.940 * * [misc]simplify: iters left: 1 (181 enodes) 1544087838.968 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087838.968 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087838.968 * * * * [misc]progress: [ 81 / 293 ] simplifiying candidate # 1544087838.969 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1544087838.969 * * [misc]simplify: iters left: 6 (8 enodes) 1544087838.970 * * [misc]simplify: iters left: 5 (11 enodes) 1544087838.973 * * [misc]simplify: iters left: 4 (12 enodes) 1544087838.976 * * [misc]simplify: iters left: 3 (15 enodes) 1544087838.981 * * [misc]simplify: iters left: 2 (16 enodes) 1544087838.985 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544087838.985 * [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))))))) 1544087838.985 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087838.985 * * [misc]simplify: iters left: 6 (16 enodes) 1544087838.990 * * [misc]simplify: iters left: 5 (29 enodes) 1544087838.999 * * [misc]simplify: iters left: 4 (49 enodes) 1544087839.015 * * [misc]simplify: iters left: 3 (91 enodes) 1544087839.042 * * [misc]simplify: iters left: 2 (126 enodes) 1544087839.077 * * [misc]simplify: iters left: 1 (183 enodes) 1544087839.117 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1544087839.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1544087839.117 * * * * [misc]progress: [ 82 / 293 ] simplifiying candidate # 1544087839.117 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087839.118 * * [misc]simplify: iters left: 6 (13 enodes) 1544087839.123 * * [misc]simplify: iters left: 5 (20 enodes) 1544087839.129 * * [misc]simplify: iters left: 4 (24 enodes) 1544087839.136 * * [misc]simplify: iters left: 3 (29 enodes) 1544087839.143 * * [misc]simplify: iters left: 2 (30 enodes) 1544087839.151 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544087839.151 * [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))))) 1544087839.151 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1544087839.151 * * [misc]simplify: iters left: 6 (12 enodes) 1544087839.155 * * [misc]simplify: iters left: 5 (20 enodes) 1544087839.163 * * [misc]simplify: iters left: 4 (38 enodes) 1544087839.175 * * [misc]simplify: iters left: 3 (67 enodes) 1544087839.191 * * [misc]simplify: iters left: 2 (83 enodes) 1544087839.202 * * [misc]simplify: iters left: 1 (93 enodes) 1544087839.212 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544087839.212 * [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))))) 1544087839.212 * * * * [misc]progress: [ 83 / 293 ] simplifiying candidate # 1544087839.212 * [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))))))) 1544087839.212 * * [misc]simplify: iters left: 6 (17 enodes) 1544087839.215 * * [misc]simplify: iters left: 5 (25 enodes) 1544087839.219 * * [misc]simplify: iters left: 4 (29 enodes) 1544087839.223 * * [misc]simplify: iters left: 3 (32 enodes) 1544087839.227 * * [misc]simplify: iters left: 2 (33 enodes) 1544087839.236 * [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))))))) 1544087839.236 * [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)))))))) 1544087839.236 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087839.236 * * [misc]simplify: iters left: 6 (17 enodes) 1544087839.241 * * [misc]simplify: iters left: 5 (26 enodes) 1544087839.249 * * [misc]simplify: iters left: 4 (45 enodes) 1544087839.262 * * [misc]simplify: iters left: 3 (74 enodes) 1544087839.280 * * [misc]simplify: iters left: 2 (90 enodes) 1544087839.300 * * [misc]simplify: iters left: 1 (100 enodes) 1544087839.321 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087839.321 * [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)))))))) 1544087839.322 * * * * [misc]progress: [ 84 / 293 ] simplifiying candidate # 1544087839.322 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087839.322 * * [misc]simplify: iters left: 6 (16 enodes) 1544087839.328 * * [misc]simplify: iters left: 5 (22 enodes) 1544087839.335 * * [misc]simplify: iters left: 4 (26 enodes) 1544087839.342 * * [misc]simplify: iters left: 3 (29 enodes) 1544087839.350 * * [misc]simplify: iters left: 2 (30 enodes) 1544087839.358 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087839.358 * [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)))))))) 1544087839.358 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087839.359 * * [misc]simplify: iters left: 6 (17 enodes) 1544087839.364 * * [misc]simplify: iters left: 5 (26 enodes) 1544087839.372 * * [misc]simplify: iters left: 4 (45 enodes) 1544087839.385 * * [misc]simplify: iters left: 3 (74 enodes) 1544087839.403 * * [misc]simplify: iters left: 2 (90 enodes) 1544087839.422 * * [misc]simplify: iters left: 1 (100 enodes) 1544087839.448 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087839.448 * [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)))))))) 1544087839.448 * * * * [misc]progress: [ 85 / 293 ] simplifiying candidate # 1544087839.448 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087839.448 * * [misc]simplify: iters left: 6 (15 enodes) 1544087839.451 * * [misc]simplify: iters left: 5 (24 enodes) 1544087839.455 * * [misc]simplify: iters left: 4 (32 enodes) 1544087839.460 * * [misc]simplify: iters left: 3 (47 enodes) 1544087839.467 * * [misc]simplify: iters left: 2 (53 enodes) 1544087839.474 * * [misc]simplify: iters left: 1 (60 enodes) 1544087839.481 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544087839.482 * [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))))))) 1544087839.482 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087839.482 * * [misc]simplify: iters left: 6 (15 enodes) 1544087839.485 * * [misc]simplify: iters left: 5 (25 enodes) 1544087839.492 * * [misc]simplify: iters left: 4 (46 enodes) 1544087839.506 * * [misc]simplify: iters left: 3 (81 enodes) 1544087839.526 * * [misc]simplify: iters left: 2 (123 enodes) 1544087839.561 * * [misc]simplify: iters left: 1 (177 enodes) 1544087839.611 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087839.611 * [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)))))) 1544087839.611 * * * * [misc]progress: [ 86 / 293 ] simplifiying candidate # 1544087839.611 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087839.611 * * [misc]simplify: iters left: 6 (15 enodes) 1544087839.616 * * [misc]simplify: iters left: 5 (24 enodes) 1544087839.623 * * [misc]simplify: iters left: 4 (32 enodes) 1544087839.632 * * [misc]simplify: iters left: 3 (47 enodes) 1544087839.645 * * [misc]simplify: iters left: 2 (53 enodes) 1544087839.658 * * [misc]simplify: iters left: 1 (60 enodes) 1544087839.673 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544087839.673 * [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))))))) 1544087839.673 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087839.673 * * [misc]simplify: iters left: 6 (15 enodes) 1544087839.678 * * [misc]simplify: iters left: 5 (25 enodes) 1544087839.685 * * [misc]simplify: iters left: 4 (46 enodes) 1544087839.697 * * [misc]simplify: iters left: 3 (81 enodes) 1544087839.709 * * [misc]simplify: iters left: 2 (123 enodes) 1544087839.727 * * [misc]simplify: iters left: 1 (177 enodes) 1544087839.774 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087839.774 * [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)))))) 1544087839.774 * * * * [misc]progress: [ 87 / 293 ] simplifiying candidate # 1544087839.774 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087839.775 * * [misc]simplify: iters left: 6 (16 enodes) 1544087839.780 * * [misc]simplify: iters left: 5 (25 enodes) 1544087839.788 * * [misc]simplify: iters left: 4 (36 enodes) 1544087839.799 * * [misc]simplify: iters left: 3 (51 enodes) 1544087839.813 * * [misc]simplify: iters left: 2 (57 enodes) 1544087839.830 * * [misc]simplify: iters left: 1 (64 enodes) 1544087839.846 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1544087839.846 * [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))))))) 1544087839.847 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087839.847 * * [misc]simplify: iters left: 6 (15 enodes) 1544087839.852 * * [misc]simplify: iters left: 5 (25 enodes) 1544087839.859 * * [misc]simplify: iters left: 4 (47 enodes) 1544087839.871 * * [misc]simplify: iters left: 3 (82 enodes) 1544087839.881 * * [misc]simplify: iters left: 2 (124 enodes) 1544087839.898 * * [misc]simplify: iters left: 1 (178 enodes) 1544087839.930 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087839.931 * [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)))))) 1544087839.931 * * * * [misc]progress: [ 88 / 293 ] simplifiying candidate # 1544087839.931 * [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))))))) 1544087839.931 * * [misc]simplify: iters left: 6 (19 enodes) 1544087839.938 * * [misc]simplify: iters left: 5 (33 enodes) 1544087839.946 * * [misc]simplify: iters left: 4 (55 enodes) 1544087839.954 * * [misc]simplify: iters left: 3 (83 enodes) 1544087839.967 * * [misc]simplify: iters left: 2 (118 enodes) 1544087839.986 * * [misc]simplify: iters left: 1 (141 enodes) 1544087840.017 * [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)))))) 1544087840.017 * [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)))))))) 1544087840.017 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087840.017 * * [misc]simplify: iters left: 6 (18 enodes) 1544087840.020 * * [misc]simplify: iters left: 5 (29 enodes) 1544087840.024 * * [misc]simplify: iters left: 4 (51 enodes) 1544087840.031 * * [misc]simplify: iters left: 3 (86 enodes) 1544087840.042 * * [misc]simplify: iters left: 2 (128 enodes) 1544087840.059 * * [misc]simplify: iters left: 1 (183 enodes) 1544087840.106 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087840.106 * [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)))))) 1544087840.107 * * * * [misc]progress: [ 89 / 293 ] simplifiying candidate # 1544087840.107 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087840.107 * * [misc]simplify: iters left: 6 (18 enodes) 1544087840.112 * * [misc]simplify: iters left: 5 (28 enodes) 1544087840.117 * * [misc]simplify: iters left: 4 (39 enodes) 1544087840.123 * * [misc]simplify: iters left: 3 (54 enodes) 1544087840.131 * * [misc]simplify: iters left: 2 (60 enodes) 1544087840.138 * * [misc]simplify: iters left: 1 (67 enodes) 1544087840.146 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1544087840.146 * [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)))))))) 1544087840.147 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087840.147 * * [misc]simplify: iters left: 6 (18 enodes) 1544087840.149 * * [misc]simplify: iters left: 5 (29 enodes) 1544087840.154 * * [misc]simplify: iters left: 4 (51 enodes) 1544087840.163 * * [misc]simplify: iters left: 3 (86 enodes) 1544087840.184 * * [misc]simplify: iters left: 2 (128 enodes) 1544087840.219 * * [misc]simplify: iters left: 1 (183 enodes) 1544087840.254 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087840.254 * [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)))))) 1544087840.254 * * * * [misc]progress: [ 90 / 293 ] simplifiying candidate # 1544087840.255 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087840.255 * * [misc]simplify: iters left: 6 (12 enodes) 1544087840.257 * * [misc]simplify: iters left: 5 (21 enodes) 1544087840.261 * * [misc]simplify: iters left: 4 (33 enodes) 1544087840.266 * * [misc]simplify: iters left: 3 (56 enodes) 1544087840.275 * * [misc]simplify: iters left: 2 (119 enodes) 1544087840.325 * * [misc]simplify: iters left: 1 (173 enodes) 1544087840.353 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544087840.353 * [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))))))) 1544087840.354 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087840.354 * * [misc]simplify: iters left: 6 (17 enodes) 1544087840.359 * * [misc]simplify: iters left: 5 (28 enodes) 1544087840.368 * * [misc]simplify: iters left: 4 (50 enodes) 1544087840.382 * * [misc]simplify: iters left: 3 (85 enodes) 1544087840.404 * * [misc]simplify: iters left: 2 (127 enodes) 1544087840.422 * * [misc]simplify: iters left: 1 (181 enodes) 1544087840.455 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544087840.455 * [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)))))) 1544087840.455 * * * * [misc]progress: [ 91 / 293 ] simplifiying candidate # 1544087840.455 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087840.455 * * [misc]simplify: iters left: 6 (14 enodes) 1544087840.458 * * [misc]simplify: iters left: 5 (21 enodes) 1544087840.461 * * [misc]simplify: iters left: 4 (25 enodes) 1544087840.465 * * [misc]simplify: iters left: 3 (30 enodes) 1544087840.468 * * [misc]simplify: iters left: 2 (31 enodes) 1544087840.473 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087840.473 * [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))))))) 1544087840.473 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087840.473 * * [misc]simplify: iters left: 6 (15 enodes) 1544087840.478 * * [misc]simplify: iters left: 5 (25 enodes) 1544087840.486 * * [misc]simplify: iters left: 4 (46 enodes) 1544087840.499 * * [misc]simplify: iters left: 3 (81 enodes) 1544087840.518 * * [misc]simplify: iters left: 2 (123 enodes) 1544087840.554 * * [misc]simplify: iters left: 1 (177 enodes) 1544087840.606 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087840.606 * [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)))))) 1544087840.606 * * * * [misc]progress: [ 92 / 293 ] simplifiying candidate # 1544087840.606 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087840.606 * * [misc]simplify: iters left: 6 (14 enodes) 1544087840.611 * * [misc]simplify: iters left: 5 (21 enodes) 1544087840.617 * * [misc]simplify: iters left: 4 (25 enodes) 1544087840.625 * * [misc]simplify: iters left: 3 (30 enodes) 1544087840.632 * * [misc]simplify: iters left: 2 (31 enodes) 1544087840.640 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087840.640 * [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))))))) 1544087840.640 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087840.640 * * [misc]simplify: iters left: 6 (15 enodes) 1544087840.644 * * [misc]simplify: iters left: 5 (25 enodes) 1544087840.648 * * [misc]simplify: iters left: 4 (46 enodes) 1544087840.655 * * [misc]simplify: iters left: 3 (81 enodes) 1544087840.671 * * [misc]simplify: iters left: 2 (123 enodes) 1544087840.699 * * [misc]simplify: iters left: 1 (177 enodes) 1544087840.725 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087840.725 * [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)))))) 1544087840.725 * * * * [misc]progress: [ 93 / 293 ] simplifiying candidate # 1544087840.725 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087840.725 * * [misc]simplify: iters left: 6 (15 enodes) 1544087840.727 * * [misc]simplify: iters left: 5 (22 enodes) 1544087840.731 * * [misc]simplify: iters left: 4 (29 enodes) 1544087840.735 * * [misc]simplify: iters left: 3 (34 enodes) 1544087840.739 * * [misc]simplify: iters left: 2 (35 enodes) 1544087840.743 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087840.743 * [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))))))) 1544087840.743 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087840.743 * * [misc]simplify: iters left: 6 (15 enodes) 1544087840.745 * * [misc]simplify: iters left: 5 (25 enodes) 1544087840.749 * * [misc]simplify: iters left: 4 (47 enodes) 1544087840.760 * * [misc]simplify: iters left: 3 (82 enodes) 1544087840.782 * * [misc]simplify: iters left: 2 (124 enodes) 1544087840.815 * * [misc]simplify: iters left: 1 (178 enodes) 1544087840.867 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087840.868 * [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)))))) 1544087840.868 * * * * [misc]progress: [ 94 / 293 ] simplifiying candidate # 1544087840.868 * [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))))))) 1544087840.868 * * [misc]simplify: iters left: 6 (18 enodes) 1544087840.873 * * [misc]simplify: iters left: 5 (28 enodes) 1544087840.877 * * [misc]simplify: iters left: 4 (37 enodes) 1544087840.883 * * [misc]simplify: iters left: 3 (49 enodes) 1544087840.890 * * [misc]simplify: iters left: 2 (58 enodes) 1544087840.899 * * [misc]simplify: iters left: 1 (60 enodes) 1544087840.907 * [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))) 1544087840.907 * [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)))))))) 1544087840.907 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087840.907 * * [misc]simplify: iters left: 6 (18 enodes) 1544087840.910 * * [misc]simplify: iters left: 5 (29 enodes) 1544087840.914 * * [misc]simplify: iters left: 4 (51 enodes) 1544087840.922 * * [misc]simplify: iters left: 3 (86 enodes) 1544087840.937 * * [misc]simplify: iters left: 2 (128 enodes) 1544087840.967 * * [misc]simplify: iters left: 1 (183 enodes) 1544087841.003 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087841.003 * [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)))))) 1544087841.003 * * * * [misc]progress: [ 95 / 293 ] simplifiying candidate # 1544087841.003 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087841.004 * * [misc]simplify: iters left: 6 (17 enodes) 1544087841.009 * * [misc]simplify: iters left: 5 (25 enodes) 1544087841.017 * * [misc]simplify: iters left: 4 (32 enodes) 1544087841.021 * * [misc]simplify: iters left: 3 (37 enodes) 1544087841.026 * * [misc]simplify: iters left: 2 (38 enodes) 1544087841.031 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087841.031 * [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)))))))) 1544087841.031 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087841.031 * * [misc]simplify: iters left: 6 (18 enodes) 1544087841.034 * * [misc]simplify: iters left: 5 (29 enodes) 1544087841.038 * * [misc]simplify: iters left: 4 (51 enodes) 1544087841.047 * * [misc]simplify: iters left: 3 (86 enodes) 1544087841.069 * * [misc]simplify: iters left: 2 (128 enodes) 1544087841.090 * * [misc]simplify: iters left: 1 (183 enodes) 1544087841.118 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087841.118 * [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)))))) 1544087841.118 * * * * [misc]progress: [ 96 / 293 ] simplifiying candidate # 1544087841.118 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1544087841.119 * * [misc]simplify: iters left: 6 (11 enodes) 1544087841.121 * * [misc]simplify: iters left: 5 (18 enodes) 1544087841.124 * * [misc]simplify: iters left: 4 (26 enodes) 1544087841.127 * * [misc]simplify: iters left: 3 (31 enodes) 1544087841.134 * * [misc]simplify: iters left: 2 (32 enodes) 1544087841.140 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544087841.140 * [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))))))) 1544087841.140 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087841.140 * * [misc]simplify: iters left: 6 (17 enodes) 1544087841.146 * * [misc]simplify: iters left: 5 (28 enodes) 1544087841.154 * * [misc]simplify: iters left: 4 (50 enodes) 1544087841.162 * * [misc]simplify: iters left: 3 (85 enodes) 1544087841.173 * * [misc]simplify: iters left: 2 (127 enodes) 1544087841.199 * * [misc]simplify: iters left: 1 (181 enodes) 1544087841.232 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087841.232 * [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)))))) 1544087841.232 * * * * [misc]progress: [ 97 / 293 ] simplifiying candidate # 1544087841.233 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544087841.233 * * [misc]simplify: iters left: 6 (12 enodes) 1544087841.237 * * [misc]simplify: iters left: 5 (21 enodes) 1544087841.243 * * [misc]simplify: iters left: 4 (24 enodes) 1544087841.251 * * [misc]simplify: iters left: 3 (36 enodes) 1544087841.258 * * [misc]simplify: iters left: 2 (42 enodes) 1544087841.263 * * [misc]simplify: iters left: 1 (51 enodes) 1544087841.269 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087841.269 * [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))))))) 1544087841.270 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087841.270 * * [misc]simplify: iters left: 6 (14 enodes) 1544087841.272 * * [misc]simplify: iters left: 5 (24 enodes) 1544087841.275 * * [misc]simplify: iters left: 4 (45 enodes) 1544087841.282 * * [misc]simplify: iters left: 3 (80 enodes) 1544087841.301 * * [misc]simplify: iters left: 2 (122 enodes) 1544087841.334 * * [misc]simplify: iters left: 1 (177 enodes) 1544087841.386 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544087841.386 * [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))))) 1544087841.386 * * * * [misc]progress: [ 98 / 293 ] simplifiying candidate # 1544087841.386 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544087841.386 * * [misc]simplify: iters left: 6 (12 enodes) 1544087841.389 * * [misc]simplify: iters left: 5 (21 enodes) 1544087841.392 * * [misc]simplify: iters left: 4 (24 enodes) 1544087841.396 * * [misc]simplify: iters left: 3 (36 enodes) 1544087841.401 * * [misc]simplify: iters left: 2 (42 enodes) 1544087841.406 * * [misc]simplify: iters left: 1 (51 enodes) 1544087841.414 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544087841.414 * [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))))))) 1544087841.414 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087841.414 * * [misc]simplify: iters left: 6 (14 enodes) 1544087841.416 * * [misc]simplify: iters left: 5 (24 enodes) 1544087841.420 * * [misc]simplify: iters left: 4 (45 enodes) 1544087841.433 * * [misc]simplify: iters left: 3 (80 enodes) 1544087841.445 * * [misc]simplify: iters left: 2 (122 enodes) 1544087841.462 * * [misc]simplify: iters left: 1 (177 enodes) 1544087841.512 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544087841.512 * [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))))) 1544087841.512 * * * * [misc]progress: [ 99 / 293 ] simplifiying candidate # 1544087841.512 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087841.512 * * [misc]simplify: iters left: 6 (14 enodes) 1544087841.517 * * [misc]simplify: iters left: 5 (23 enodes) 1544087841.525 * * [misc]simplify: iters left: 4 (29 enodes) 1544087841.534 * * [misc]simplify: iters left: 3 (41 enodes) 1544087841.542 * * [misc]simplify: iters left: 2 (47 enodes) 1544087841.547 * * [misc]simplify: iters left: 1 (57 enodes) 1544087841.554 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544087841.554 * [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))))))) 1544087841.555 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087841.555 * * [misc]simplify: iters left: 6 (14 enodes) 1544087841.557 * * [misc]simplify: iters left: 5 (24 enodes) 1544087841.561 * * [misc]simplify: iters left: 4 (46 enodes) 1544087841.567 * * [misc]simplify: iters left: 3 (81 enodes) 1544087841.580 * * [misc]simplify: iters left: 2 (123 enodes) 1544087841.611 * * [misc]simplify: iters left: 1 (178 enodes) 1544087841.662 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087841.662 * [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))))) 1544087841.662 * * * * [misc]progress: [ 100 / 293 ] simplifiying candidate # 1544087841.662 * [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))))))) 1544087841.662 * * [misc]simplify: iters left: 6 (17 enodes) 1544087841.666 * * [misc]simplify: iters left: 5 (29 enodes) 1544087841.670 * * [misc]simplify: iters left: 4 (37 enodes) 1544087841.676 * * [misc]simplify: iters left: 3 (55 enodes) 1544087841.684 * * [misc]simplify: iters left: 2 (74 enodes) 1544087841.694 * * [misc]simplify: iters left: 1 (95 enodes) 1544087841.715 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1544087841.715 * [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)))))))) 1544087841.715 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087841.716 * * [misc]simplify: iters left: 6 (17 enodes) 1544087841.721 * * [misc]simplify: iters left: 5 (28 enodes) 1544087841.729 * * [misc]simplify: iters left: 4 (50 enodes) 1544087841.741 * * [misc]simplify: iters left: 3 (85 enodes) 1544087841.752 * * [misc]simplify: iters left: 2 (127 enodes) 1544087841.775 * * [misc]simplify: iters left: 1 (181 enodes) 1544087841.818 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087841.818 * [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))))) 1544087841.818 * * * * [misc]progress: [ 101 / 293 ] simplifiying candidate # 1544087841.818 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087841.818 * * [misc]simplify: iters left: 6 (16 enodes) 1544087841.821 * * [misc]simplify: iters left: 5 (26 enodes) 1544087841.825 * * [misc]simplify: iters left: 4 (32 enodes) 1544087841.830 * * [misc]simplify: iters left: 3 (44 enodes) 1544087841.840 * * [misc]simplify: iters left: 2 (50 enodes) 1544087841.851 * * [misc]simplify: iters left: 1 (60 enodes) 1544087841.859 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087841.859 * [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)))))))) 1544087841.859 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087841.859 * * [misc]simplify: iters left: 6 (17 enodes) 1544087841.862 * * [misc]simplify: iters left: 5 (28 enodes) 1544087841.867 * * [misc]simplify: iters left: 4 (50 enodes) 1544087841.874 * * [misc]simplify: iters left: 3 (85 enodes) 1544087841.886 * * [misc]simplify: iters left: 2 (127 enodes) 1544087841.921 * * [misc]simplify: iters left: 1 (181 enodes) 1544087841.956 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544087841.956 * [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))))) 1544087841.956 * * * * [misc]progress: [ 102 / 293 ] simplifiying candidate # 1544087841.956 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1544087841.956 * * [misc]simplify: iters left: 6 (8 enodes) 1544087841.958 * * [misc]simplify: iters left: 5 (13 enodes) 1544087841.960 * * [misc]simplify: iters left: 4 (14 enodes) 1544087841.962 * * [misc]simplify: iters left: 3 (17 enodes) 1544087841.964 * * [misc]simplify: iters left: 2 (18 enodes) 1544087841.966 * * [misc]simplify: iters left: 1 (20 enodes) 1544087841.968 * [exit]simplify: Simplified to (sqrt PI) 1544087841.968 * [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))))))) 1544087841.968 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087841.968 * * [misc]simplify: iters left: 6 (16 enodes) 1544087841.970 * * [misc]simplify: iters left: 5 (27 enodes) 1544087841.974 * * [misc]simplify: iters left: 4 (49 enodes) 1544087841.983 * * [misc]simplify: iters left: 3 (84 enodes) 1544087842.003 * * [misc]simplify: iters left: 2 (126 enodes) 1544087842.038 * * [misc]simplify: iters left: 1 (181 enodes) 1544087842.082 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087842.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087842.082 * * * * [misc]progress: [ 103 / 293 ] simplifiying candidate # 1544087842.083 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1544087842.083 * * [misc]simplify: iters left: 6 (7 enodes) 1544087842.084 * * [misc]simplify: iters left: 5 (12 enodes) 1544087842.086 * * [misc]simplify: iters left: 4 (17 enodes) 1544087842.088 * * [misc]simplify: iters left: 3 (19 enodes) 1544087842.090 * [exit]simplify: Simplified to (sqrt PI) 1544087842.090 * [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))))))) 1544087842.090 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087842.090 * * [misc]simplify: iters left: 6 (16 enodes) 1544087842.093 * * [misc]simplify: iters left: 5 (27 enodes) 1544087842.096 * * [misc]simplify: iters left: 4 (49 enodes) 1544087842.103 * * [misc]simplify: iters left: 3 (84 enodes) 1544087842.114 * * [misc]simplify: iters left: 2 (126 enodes) 1544087842.146 * * [misc]simplify: iters left: 1 (181 enodes) 1544087842.199 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544087842.199 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544087842.199 * * * * [misc]progress: [ 104 / 293 ] simplifiying candidate # 1544087842.200 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1544087842.200 * * [misc]simplify: iters left: 6 (8 enodes) 1544087842.203 * * [misc]simplify: iters left: 5 (11 enodes) 1544087842.206 * * [misc]simplify: iters left: 4 (12 enodes) 1544087842.210 * * [misc]simplify: iters left: 3 (15 enodes) 1544087842.214 * * [misc]simplify: iters left: 2 (16 enodes) 1544087842.218 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544087842.218 * [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))))))) 1544087842.218 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087842.218 * * [misc]simplify: iters left: 6 (16 enodes) 1544087842.223 * * [misc]simplify: iters left: 5 (29 enodes) 1544087842.231 * * [misc]simplify: iters left: 4 (49 enodes) 1544087842.246 * * [misc]simplify: iters left: 3 (91 enodes) 1544087842.263 * * [misc]simplify: iters left: 2 (126 enodes) 1544087842.280 * * [misc]simplify: iters left: 1 (183 enodes) 1544087842.339 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1544087842.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1544087842.340 * * * * [misc]progress: [ 105 / 293 ] simplifiying candidate # 1544087842.340 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087842.340 * * [misc]simplify: iters left: 6 (13 enodes) 1544087842.345 * * [misc]simplify: iters left: 5 (20 enodes) 1544087842.351 * * [misc]simplify: iters left: 4 (24 enodes) 1544087842.358 * * [misc]simplify: iters left: 3 (29 enodes) 1544087842.366 * * [misc]simplify: iters left: 2 (30 enodes) 1544087842.373 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544087842.373 * [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))))) 1544087842.373 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1544087842.374 * * [misc]simplify: iters left: 6 (12 enodes) 1544087842.378 * * [misc]simplify: iters left: 5 (20 enodes) 1544087842.384 * * [misc]simplify: iters left: 4 (38 enodes) 1544087842.395 * * [misc]simplify: iters left: 3 (67 enodes) 1544087842.411 * * [misc]simplify: iters left: 2 (83 enodes) 1544087842.424 * * [misc]simplify: iters left: 1 (93 enodes) 1544087842.436 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544087842.436 * [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))))) 1544087842.436 * * * * [misc]progress: [ 106 / 293 ] simplifiying candidate # 1544087842.437 * [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))))))) 1544087842.437 * * [misc]simplify: iters left: 6 (19 enodes) 1544087842.440 * * [misc]simplify: iters left: 5 (32 enodes) 1544087842.445 * * [misc]simplify: iters left: 4 (50 enodes) 1544087842.452 * * [misc]simplify: iters left: 3 (69 enodes) 1544087842.472 * * [misc]simplify: iters left: 2 (111 enodes) 1544087842.502 * * [misc]simplify: iters left: 1 (149 enodes) 1544087842.536 * [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))))))) 1544087842.536 * [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)))))))) 1544087842.536 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087842.537 * * [misc]simplify: iters left: 6 (17 enodes) 1544087842.542 * * [misc]simplify: iters left: 5 (24 enodes) 1544087842.549 * * [misc]simplify: iters left: 4 (33 enodes) 1544087842.559 * * [misc]simplify: iters left: 3 (49 enodes) 1544087842.573 * * [misc]simplify: iters left: 2 (88 enodes) 1544087842.598 * * [misc]simplify: iters left: 1 (126 enodes) 1544087842.615 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087842.615 * [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)))))))) 1544087842.615 * * * * [misc]progress: [ 107 / 293 ] simplifiying candidate # 1544087842.615 * [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)))))) 1544087842.616 * * [misc]simplify: iters left: 6 (18 enodes) 1544087842.618 * * [misc]simplify: iters left: 5 (27 enodes) 1544087842.622 * * [misc]simplify: iters left: 4 (38 enodes) 1544087842.628 * * [misc]simplify: iters left: 3 (55 enodes) 1544087842.640 * * [misc]simplify: iters left: 2 (94 enodes) 1544087842.664 * * [misc]simplify: iters left: 1 (132 enodes) 1544087842.681 * [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)))))) 1544087842.681 * [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)))))))) 1544087842.681 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087842.681 * * [misc]simplify: iters left: 6 (17 enodes) 1544087842.684 * * [misc]simplify: iters left: 5 (24 enodes) 1544087842.687 * * [misc]simplify: iters left: 4 (33 enodes) 1544087842.692 * * [misc]simplify: iters left: 3 (49 enodes) 1544087842.706 * * [misc]simplify: iters left: 2 (88 enodes) 1544087842.719 * * [misc]simplify: iters left: 1 (126 enodes) 1544087842.733 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087842.733 * [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)))))))) 1544087842.733 * * * * [misc]progress: [ 108 / 293 ] simplifiying candidate # 1544087842.733 * [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))) 1544087842.733 * * [misc]simplify: iters left: 6 (19 enodes) 1544087842.737 * * [misc]simplify: iters left: 5 (33 enodes) 1544087842.745 * * [misc]simplify: iters left: 4 (57 enodes) 1544087842.755 * * [misc]simplify: iters left: 3 (114 enodes) 1544087842.780 * * [misc]simplify: iters left: 2 (204 enodes) 1544087842.850 * * [misc]simplify: iters left: 1 (271 enodes) 1544087842.913 * [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)))))) 1544087842.913 * [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))))))) 1544087842.914 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087842.914 * * [misc]simplify: iters left: 6 (18 enodes) 1544087842.919 * * [misc]simplify: iters left: 5 (28 enodes) 1544087842.927 * * [misc]simplify: iters left: 4 (38 enodes) 1544087842.933 * * [misc]simplify: iters left: 3 (56 enodes) 1544087842.941 * * [misc]simplify: iters left: 2 (95 enodes) 1544087842.954 * * [misc]simplify: iters left: 1 (133 enodes) 1544087842.980 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087842.980 * [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)))))) 1544087842.980 * * * * [misc]progress: [ 109 / 293 ] simplifiying candidate # 1544087842.980 * [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))) 1544087842.980 * * [misc]simplify: iters left: 6 (19 enodes) 1544087842.983 * * [misc]simplify: iters left: 5 (33 enodes) 1544087842.988 * * [misc]simplify: iters left: 4 (57 enodes) 1544087842.997 * * [misc]simplify: iters left: 3 (114 enodes) 1544087843.030 * * [misc]simplify: iters left: 2 (204 enodes) 1544087843.084 * * [misc]simplify: iters left: 1 (271 enodes) 1544087843.138 * [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)))))) 1544087843.138 * [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))))))) 1544087843.138 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087843.138 * * [misc]simplify: iters left: 6 (18 enodes) 1544087843.141 * * [misc]simplify: iters left: 5 (28 enodes) 1544087843.144 * * [misc]simplify: iters left: 4 (38 enodes) 1544087843.150 * * [misc]simplify: iters left: 3 (56 enodes) 1544087843.158 * * [misc]simplify: iters left: 2 (95 enodes) 1544087843.179 * * [misc]simplify: iters left: 1 (133 enodes) 1544087843.208 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087843.208 * [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)))))) 1544087843.208 * * * * [misc]progress: [ 110 / 293 ] simplifiying candidate # 1544087843.209 * [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))))) 1544087843.209 * * [misc]simplify: iters left: 6 (18 enodes) 1544087843.215 * * [misc]simplify: iters left: 5 (30 enodes) 1544087843.224 * * [misc]simplify: iters left: 4 (54 enodes) 1544087843.241 * * [misc]simplify: iters left: 3 (111 enodes) 1544087843.281 * * [misc]simplify: iters left: 2 (203 enodes) 1544087843.324 * * [misc]simplify: iters left: 1 (272 enodes) 1544087843.407 * [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))))) 1544087843.407 * [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))))))) 1544087843.407 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087843.407 * * [misc]simplify: iters left: 6 (15 enodes) 1544087843.414 * * [misc]simplify: iters left: 5 (23 enodes) 1544087843.421 * * [misc]simplify: iters left: 4 (35 enodes) 1544087843.430 * * [misc]simplify: iters left: 3 (53 enodes) 1544087843.445 * * [misc]simplify: iters left: 2 (92 enodes) 1544087843.469 * * [misc]simplify: iters left: 1 (130 enodes) 1544087843.497 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087843.497 * [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))))))) 1544087843.497 * * * * [misc]progress: [ 111 / 293 ] simplifiying candidate # 1544087843.497 * [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))))))) 1544087843.497 * * [misc]simplify: iters left: 6 (21 enodes) 1544087843.504 * * [misc]simplify: iters left: 5 (38 enodes) 1544087843.516 * * [misc]simplify: iters left: 4 (78 enodes) 1544087843.542 * * [misc]simplify: iters left: 3 (165 enodes) 1544087843.615 * * [misc]simplify: iters left: 2 (334 enodes) 1544087843.738 * * [misc]simplify: iters left: 1 (492 enodes) 1544087843.975 * [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)))))) 1544087843.976 * [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)))))))) 1544087843.976 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087843.976 * * [misc]simplify: iters left: 6 (18 enodes) 1544087843.981 * * [misc]simplify: iters left: 5 (27 enodes) 1544087843.988 * * [misc]simplify: iters left: 4 (39 enodes) 1544087843.998 * * [misc]simplify: iters left: 3 (57 enodes) 1544087844.012 * * [misc]simplify: iters left: 2 (96 enodes) 1544087844.035 * * [misc]simplify: iters left: 1 (134 enodes) 1544087844.056 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087844.056 * [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))))) 1544087844.056 * * * * [misc]progress: [ 112 / 293 ] simplifiying candidate # 1544087844.056 * [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)))))) 1544087844.056 * * [misc]simplify: iters left: 6 (20 enodes) 1544087844.061 * * [misc]simplify: iters left: 5 (33 enodes) 1544087844.065 * * [misc]simplify: iters left: 4 (57 enodes) 1544087844.075 * * [misc]simplify: iters left: 3 (114 enodes) 1544087844.096 * * [misc]simplify: iters left: 2 (206 enodes) 1544087844.133 * * [misc]simplify: iters left: 1 (273 enodes) 1544087844.184 * [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)))))) 1544087844.184 * [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)))))))) 1544087844.185 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087844.185 * * [misc]simplify: iters left: 6 (18 enodes) 1544087844.187 * * [misc]simplify: iters left: 5 (27 enodes) 1544087844.191 * * [misc]simplify: iters left: 4 (39 enodes) 1544087844.196 * * [misc]simplify: iters left: 3 (57 enodes) 1544087844.206 * * [misc]simplify: iters left: 2 (96 enodes) 1544087844.233 * * [misc]simplify: iters left: 1 (134 enodes) 1544087844.249 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087844.249 * [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))))) 1544087844.249 * * * * [misc]progress: [ 113 / 293 ] simplifiying candidate # 1544087844.250 * [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)) 1544087844.250 * * [misc]simplify: iters left: 6 (17 enodes) 1544087844.253 * * [misc]simplify: iters left: 5 (31 enodes) 1544087844.258 * * [misc]simplify: iters left: 4 (58 enodes) 1544087844.270 * * [misc]simplify: iters left: 3 (98 enodes) 1544087844.298 * * [misc]simplify: iters left: 2 (208 enodes) 1544087844.349 * * [misc]simplify: iters left: 1 (309 enodes) 1544087844.392 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1544087844.392 * [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))))))) 1544087844.393 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087844.393 * * [misc]simplify: iters left: 6 (17 enodes) 1544087844.398 * * [misc]simplify: iters left: 5 (26 enodes) 1544087844.405 * * [misc]simplify: iters left: 4 (38 enodes) 1544087844.416 * * [misc]simplify: iters left: 3 (56 enodes) 1544087844.431 * * [misc]simplify: iters left: 2 (95 enodes) 1544087844.456 * * [misc]simplify: iters left: 1 (133 enodes) 1544087844.482 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087844.482 * [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))))))) 1544087844.483 * * * * [misc]progress: [ 114 / 293 ] simplifiying candidate # 1544087844.483 * [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))) 1544087844.483 * * [misc]simplify: iters left: 6 (18 enodes) 1544087844.486 * * [misc]simplify: iters left: 5 (30 enodes) 1544087844.490 * * [misc]simplify: iters left: 4 (46 enodes) 1544087844.497 * * [misc]simplify: iters left: 3 (74 enodes) 1544087844.508 * * [misc]simplify: iters left: 2 (125 enodes) 1544087844.542 * * [misc]simplify: iters left: 1 (169 enodes) 1544087844.562 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087844.562 * [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))))))) 1544087844.563 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087844.563 * * [misc]simplify: iters left: 6 (18 enodes) 1544087844.566 * * [misc]simplify: iters left: 5 (28 enodes) 1544087844.572 * * [misc]simplify: iters left: 4 (38 enodes) 1544087844.582 * * [misc]simplify: iters left: 3 (56 enodes) 1544087844.598 * * [misc]simplify: iters left: 2 (95 enodes) 1544087844.611 * * [misc]simplify: iters left: 1 (133 enodes) 1544087844.628 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087844.628 * [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)))))) 1544087844.628 * * * * [misc]progress: [ 115 / 293 ] simplifiying candidate # 1544087844.629 * [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))) 1544087844.629 * * [misc]simplify: iters left: 6 (18 enodes) 1544087844.634 * * [misc]simplify: iters left: 5 (30 enodes) 1544087844.643 * * [misc]simplify: iters left: 4 (46 enodes) 1544087844.657 * * [misc]simplify: iters left: 3 (74 enodes) 1544087844.678 * * [misc]simplify: iters left: 2 (125 enodes) 1544087844.704 * * [misc]simplify: iters left: 1 (169 enodes) 1544087844.724 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087844.724 * [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))))))) 1544087844.724 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087844.725 * * [misc]simplify: iters left: 6 (18 enodes) 1544087844.727 * * [misc]simplify: iters left: 5 (28 enodes) 1544087844.732 * * [misc]simplify: iters left: 4 (38 enodes) 1544087844.737 * * [misc]simplify: iters left: 3 (56 enodes) 1544087844.745 * * [misc]simplify: iters left: 2 (95 enodes) 1544087844.768 * * [misc]simplify: iters left: 1 (133 enodes) 1544087844.796 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087844.796 * [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)))))) 1544087844.796 * * * * [misc]progress: [ 116 / 293 ] simplifiying candidate # 1544087844.796 * [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))))) 1544087844.796 * * [misc]simplify: iters left: 6 (17 enodes) 1544087844.799 * * [misc]simplify: iters left: 5 (27 enodes) 1544087844.802 * * [misc]simplify: iters left: 4 (43 enodes) 1544087844.809 * * [misc]simplify: iters left: 3 (71 enodes) 1544087844.819 * * [misc]simplify: iters left: 2 (122 enodes) 1544087844.840 * * [misc]simplify: iters left: 1 (166 enodes) 1544087844.866 * [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)))))) 1544087844.866 * [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))))))) 1544087844.866 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087844.866 * * [misc]simplify: iters left: 6 (15 enodes) 1544087844.868 * * [misc]simplify: iters left: 5 (23 enodes) 1544087844.872 * * [misc]simplify: iters left: 4 (35 enodes) 1544087844.876 * * [misc]simplify: iters left: 3 (53 enodes) 1544087844.884 * * [misc]simplify: iters left: 2 (92 enodes) 1544087844.900 * * [misc]simplify: iters left: 1 (130 enodes) 1544087844.929 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087844.929 * [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))))))) 1544087844.929 * * * * [misc]progress: [ 117 / 293 ] simplifiying candidate # 1544087844.930 * [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))))))) 1544087844.930 * * [misc]simplify: iters left: 6 (20 enodes) 1544087844.938 * * [misc]simplify: iters left: 5 (33 enodes) 1544087844.948 * * [misc]simplify: iters left: 4 (53 enodes) 1544087844.965 * * [misc]simplify: iters left: 3 (95 enodes) 1544087844.995 * * [misc]simplify: iters left: 2 (173 enodes) 1544087845.052 * * [misc]simplify: iters left: 1 (242 enodes) 1544087845.097 * [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))) 1544087845.098 * [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)))))))) 1544087845.098 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087845.098 * * [misc]simplify: iters left: 6 (18 enodes) 1544087845.104 * * [misc]simplify: iters left: 5 (27 enodes) 1544087845.111 * * [misc]simplify: iters left: 4 (39 enodes) 1544087845.122 * * [misc]simplify: iters left: 3 (57 enodes) 1544087845.139 * * [misc]simplify: iters left: 2 (96 enodes) 1544087845.164 * * [misc]simplify: iters left: 1 (134 enodes) 1544087845.194 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087845.194 * [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))))) 1544087845.194 * * * * [misc]progress: [ 118 / 293 ] simplifiying candidate # 1544087845.194 * [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)))))) 1544087845.194 * * [misc]simplify: iters left: 6 (19 enodes) 1544087845.199 * * [misc]simplify: iters left: 5 (30 enodes) 1544087845.203 * * [misc]simplify: iters left: 4 (46 enodes) 1544087845.210 * * [misc]simplify: iters left: 3 (74 enodes) 1544087845.221 * * [misc]simplify: iters left: 2 (125 enodes) 1544087845.249 * * [misc]simplify: iters left: 1 (169 enodes) 1544087845.290 * [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)))) 1544087845.290 * [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)))))))) 1544087845.290 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087845.291 * * [misc]simplify: iters left: 6 (18 enodes) 1544087845.296 * * [misc]simplify: iters left: 5 (27 enodes) 1544087845.304 * * [misc]simplify: iters left: 4 (39 enodes) 1544087845.315 * * [misc]simplify: iters left: 3 (57 enodes) 1544087845.324 * * [misc]simplify: iters left: 2 (96 enodes) 1544087845.337 * * [misc]simplify: iters left: 1 (134 enodes) 1544087845.352 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087845.352 * [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))))) 1544087845.352 * * * * [misc]progress: [ 119 / 293 ] simplifiying candidate # 1544087845.352 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1544087845.352 * * [misc]simplify: iters left: 6 (16 enodes) 1544087845.355 * * [misc]simplify: iters left: 5 (28 enodes) 1544087845.359 * * [misc]simplify: iters left: 4 (45 enodes) 1544087845.365 * * [misc]simplify: iters left: 3 (72 enodes) 1544087845.374 * * [misc]simplify: iters left: 2 (111 enodes) 1544087845.399 * * [misc]simplify: iters left: 1 (153 enodes) 1544087845.422 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1544087845.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087845.423 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087845.423 * * [misc]simplify: iters left: 6 (17 enodes) 1544087845.425 * * [misc]simplify: iters left: 5 (26 enodes) 1544087845.429 * * [misc]simplify: iters left: 4 (38 enodes) 1544087845.434 * * [misc]simplify: iters left: 3 (56 enodes) 1544087845.442 * * [misc]simplify: iters left: 2 (95 enodes) 1544087845.454 * * [misc]simplify: iters left: 1 (133 enodes) 1544087845.470 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087845.470 * [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))))))) 1544087845.470 * * * * [misc]progress: [ 120 / 293 ] simplifiying candidate # 1544087845.471 * [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))) 1544087845.471 * * [misc]simplify: iters left: 6 (17 enodes) 1544087845.476 * * [misc]simplify: iters left: 5 (31 enodes) 1544087845.483 * * [misc]simplify: iters left: 4 (47 enodes) 1544087845.496 * * [misc]simplify: iters left: 3 (78 enodes) 1544087845.515 * * [misc]simplify: iters left: 2 (139 enodes) 1544087845.537 * * [misc]simplify: iters left: 1 (250 enodes) 1544087845.605 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544087845.605 * [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))))))) 1544087845.605 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087845.606 * * [misc]simplify: iters left: 6 (17 enodes) 1544087845.611 * * [misc]simplify: iters left: 5 (27 enodes) 1544087845.619 * * [misc]simplify: iters left: 4 (37 enodes) 1544087845.629 * * [misc]simplify: iters left: 3 (55 enodes) 1544087845.644 * * [misc]simplify: iters left: 2 (94 enodes) 1544087845.657 * * [misc]simplify: iters left: 1 (132 enodes) 1544087845.672 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544087845.672 * [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)))))) 1544087845.672 * * * * [misc]progress: [ 121 / 293 ] simplifiying candidate # 1544087845.672 * [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))) 1544087845.672 * * [misc]simplify: iters left: 6 (17 enodes) 1544087845.675 * * [misc]simplify: iters left: 5 (31 enodes) 1544087845.684 * * [misc]simplify: iters left: 4 (47 enodes) 1544087845.698 * * [misc]simplify: iters left: 3 (78 enodes) 1544087845.720 * * [misc]simplify: iters left: 2 (139 enodes) 1544087845.742 * * [misc]simplify: iters left: 1 (250 enodes) 1544087845.806 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544087845.806 * [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))))))) 1544087845.806 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087845.806 * * [misc]simplify: iters left: 6 (17 enodes) 1544087845.809 * * [misc]simplify: iters left: 5 (27 enodes) 1544087845.812 * * [misc]simplify: iters left: 4 (37 enodes) 1544087845.818 * * [misc]simplify: iters left: 3 (55 enodes) 1544087845.826 * * [misc]simplify: iters left: 2 (94 enodes) 1544087845.848 * * [misc]simplify: iters left: 1 (132 enodes) 1544087845.870 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544087845.870 * [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)))))) 1544087845.870 * * * * [misc]progress: [ 122 / 293 ] simplifiying candidate # 1544087845.870 * [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))))) 1544087845.871 * * [misc]simplify: iters left: 6 (16 enodes) 1544087845.873 * * [misc]simplify: iters left: 5 (28 enodes) 1544087845.877 * * [misc]simplify: iters left: 4 (44 enodes) 1544087845.883 * * [misc]simplify: iters left: 3 (75 enodes) 1544087845.898 * * [misc]simplify: iters left: 2 (136 enodes) 1544087845.931 * * [misc]simplify: iters left: 1 (233 enodes) 1544087845.970 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087845.970 * [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))))))) 1544087845.970 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087845.970 * * [misc]simplify: iters left: 6 (14 enodes) 1544087845.974 * * [misc]simplify: iters left: 5 (22 enodes) 1544087845.980 * * [misc]simplify: iters left: 4 (34 enodes) 1544087845.989 * * [misc]simplify: iters left: 3 (52 enodes) 1544087845.998 * * [misc]simplify: iters left: 2 (91 enodes) 1544087846.010 * * [misc]simplify: iters left: 1 (129 enodes) 1544087846.032 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087846.032 * [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))))))) 1544087846.032 * * * * [misc]progress: [ 123 / 293 ] simplifiying candidate # 1544087846.032 * [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))))))) 1544087846.033 * * [misc]simplify: iters left: 6 (19 enodes) 1544087846.039 * * [misc]simplify: iters left: 5 (34 enodes) 1544087846.048 * * [misc]simplify: iters left: 4 (54 enodes) 1544087846.065 * * [misc]simplify: iters left: 3 (97 enodes) 1544087846.097 * * [misc]simplify: iters left: 2 (204 enodes) 1544087846.190 * * [misc]simplify: iters left: 1 (454 enodes) 1544087846.407 * [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)))))) 1544087846.407 * [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)))))))) 1544087846.407 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087846.407 * * [misc]simplify: iters left: 6 (17 enodes) 1544087846.410 * * [misc]simplify: iters left: 5 (26 enodes) 1544087846.413 * * [misc]simplify: iters left: 4 (38 enodes) 1544087846.419 * * [misc]simplify: iters left: 3 (56 enodes) 1544087846.427 * * [misc]simplify: iters left: 2 (95 enodes) 1544087846.446 * * [misc]simplify: iters left: 1 (133 enodes) 1544087846.466 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087846.466 * [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))))))) 1544087846.466 * * * * [misc]progress: [ 124 / 293 ] simplifiying candidate # 1544087846.467 * [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)))))) 1544087846.467 * * [misc]simplify: iters left: 6 (18 enodes) 1544087846.469 * * [misc]simplify: iters left: 5 (31 enodes) 1544087846.474 * * [misc]simplify: iters left: 4 (47 enodes) 1544087846.481 * * [misc]simplify: iters left: 3 (78 enodes) 1544087846.506 * * [misc]simplify: iters left: 2 (139 enodes) 1544087846.547 * * [misc]simplify: iters left: 1 (250 enodes) 1544087846.607 * [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)))))) 1544087846.607 * [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)))))))) 1544087846.607 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087846.607 * * [misc]simplify: iters left: 6 (17 enodes) 1544087846.610 * * [misc]simplify: iters left: 5 (26 enodes) 1544087846.613 * * [misc]simplify: iters left: 4 (38 enodes) 1544087846.622 * * [misc]simplify: iters left: 3 (56 enodes) 1544087846.638 * * [misc]simplify: iters left: 2 (95 enodes) 1544087846.657 * * [misc]simplify: iters left: 1 (133 enodes) 1544087846.672 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087846.672 * [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))))))) 1544087846.672 * * * * [misc]progress: [ 125 / 293 ] simplifiying candidate # 1544087846.673 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 1)) 1544087846.673 * * [misc]simplify: iters left: 6 (14 enodes) 1544087846.675 * * [misc]simplify: iters left: 5 (24 enodes) 1544087846.678 * * [misc]simplify: iters left: 4 (33 enodes) 1544087846.683 * * [misc]simplify: iters left: 3 (57 enodes) 1544087846.698 * * [misc]simplify: iters left: 2 (107 enodes) 1544087846.729 * * [misc]simplify: iters left: 1 (171 enodes) 1544087846.769 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087846.769 * [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))))))) 1544087846.769 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087846.769 * * [misc]simplify: iters left: 6 (16 enodes) 1544087846.771 * * [misc]simplify: iters left: 5 (25 enodes) 1544087846.775 * * [misc]simplify: iters left: 4 (37 enodes) 1544087846.780 * * [misc]simplify: iters left: 3 (55 enodes) 1544087846.788 * * [misc]simplify: iters left: 2 (94 enodes) 1544087846.800 * * [misc]simplify: iters left: 1 (132 enodes) 1544087846.831 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087846.831 * [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))))))) 1544087846.831 * * * * [misc]progress: [ 126 / 293 ] simplifiying candidate # 1544087846.832 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1) 1544087846.832 * * [misc]simplify: iters left: 6 (13 enodes) 1544087846.836 * * [misc]simplify: iters left: 5 (23 enodes) 1544087846.843 * * [misc]simplify: iters left: 4 (38 enodes) 1544087846.853 * * [misc]simplify: iters left: 3 (56 enodes) 1544087846.867 * * [misc]simplify: iters left: 2 (99 enodes) 1544087846.893 * * [misc]simplify: iters left: 1 (135 enodes) 1544087846.919 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087846.919 * [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))))))) 1544087846.919 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087846.920 * * [misc]simplify: iters left: 6 (16 enodes) 1544087846.925 * * [misc]simplify: iters left: 5 (25 enodes) 1544087846.932 * * [misc]simplify: iters left: 4 (37 enodes) 1544087846.942 * * [misc]simplify: iters left: 3 (55 enodes) 1544087846.957 * * [misc]simplify: iters left: 2 (94 enodes) 1544087846.984 * * [misc]simplify: iters left: 1 (132 enodes) 1544087847.013 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087847.013 * [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))))))) 1544087847.013 * * * * [misc]progress: [ 127 / 293 ] simplifiying candidate # 1544087847.013 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt k)) 1544087847.014 * * [misc]simplify: iters left: 6 (13 enodes) 1544087847.017 * * [misc]simplify: iters left: 5 (21 enodes) 1544087847.023 * * [misc]simplify: iters left: 4 (32 enodes) 1544087847.032 * * [misc]simplify: iters left: 3 (49 enodes) 1544087847.039 * * [misc]simplify: iters left: 2 (88 enodes) 1544087847.051 * * [misc]simplify: iters left: 1 (126 enodes) 1544087847.065 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087847.065 * [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))))))) 1544087847.065 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087847.065 * * [misc]simplify: iters left: 6 (16 enodes) 1544087847.068 * * [misc]simplify: iters left: 5 (27 enodes) 1544087847.071 * * [misc]simplify: iters left: 4 (39 enodes) 1544087847.078 * * [misc]simplify: iters left: 3 (65 enodes) 1544087847.099 * * [misc]simplify: iters left: 2 (105 enodes) 1544087847.124 * * [misc]simplify: iters left: 1 (146 enodes) 1544087847.150 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087847.150 * [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))))))) 1544087847.150 * * * * [misc]progress: [ 128 / 293 ] simplifiying candidate # 1544087847.150 * [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))) 1544087847.150 * * [misc]simplify: iters left: 6 (17 enodes) 1544087847.153 * * [misc]simplify: iters left: 5 (29 enodes) 1544087847.157 * * [misc]simplify: iters left: 4 (45 enodes) 1544087847.163 * * [misc]simplify: iters left: 3 (73 enodes) 1544087847.174 * * [misc]simplify: iters left: 2 (124 enodes) 1544087847.192 * * [misc]simplify: iters left: 1 (168 enodes) 1544087847.230 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544087847.230 * [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))))) 1544087847.231 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1544087847.231 * * [misc]simplify: iters left: 6 (14 enodes) 1544087847.235 * * [misc]simplify: iters left: 5 (21 enodes) 1544087847.241 * * [misc]simplify: iters left: 4 (30 enodes) 1544087847.249 * * [misc]simplify: iters left: 3 (46 enodes) 1544087847.262 * * [misc]simplify: iters left: 2 (85 enodes) 1544087847.284 * * [misc]simplify: iters left: 1 (123 enodes) 1544087847.302 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1544087847.302 * [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))))) 1544087847.302 * * * * [misc]progress: [ 129 / 293 ] simplifiying candidate # 1544087847.302 * [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))))))) 1544087847.302 * * [misc]simplify: iters left: 6 (18 enodes) 1544087847.305 * * [misc]simplify: iters left: 5 (27 enodes) 1544087847.309 * * [misc]simplify: iters left: 4 (36 enodes) 1544087847.318 * * [misc]simplify: iters left: 3 (52 enodes) 1544087847.334 * * [misc]simplify: iters left: 2 (91 enodes) 1544087847.358 * * [misc]simplify: iters left: 1 (129 enodes) 1544087847.384 * [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))))))) 1544087847.384 * [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)))))))) 1544087847.384 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087847.384 * * [misc]simplify: iters left: 6 (17 enodes) 1544087847.387 * * [misc]simplify: iters left: 5 (24 enodes) 1544087847.390 * * [misc]simplify: iters left: 4 (33 enodes) 1544087847.394 * * [misc]simplify: iters left: 3 (49 enodes) 1544087847.402 * * [misc]simplify: iters left: 2 (88 enodes) 1544087847.420 * * [misc]simplify: iters left: 1 (126 enodes) 1544087847.451 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087847.451 * [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)))))))) 1544087847.452 * * * * [misc]progress: [ 130 / 293 ] simplifiying candidate # 1544087847.452 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087847.452 * * [misc]simplify: iters left: 6 (17 enodes) 1544087847.457 * * [misc]simplify: iters left: 5 (24 enodes) 1544087847.464 * * [misc]simplify: iters left: 4 (33 enodes) 1544087847.473 * * [misc]simplify: iters left: 3 (49 enodes) 1544087847.482 * * [misc]simplify: iters left: 2 (88 enodes) 1544087847.494 * * [misc]simplify: iters left: 1 (126 enodes) 1544087847.508 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087847.508 * [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)))))))) 1544087847.508 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087847.509 * * [misc]simplify: iters left: 6 (17 enodes) 1544087847.511 * * [misc]simplify: iters left: 5 (24 enodes) 1544087847.514 * * [misc]simplify: iters left: 4 (33 enodes) 1544087847.519 * * [misc]simplify: iters left: 3 (49 enodes) 1544087847.534 * * [misc]simplify: iters left: 2 (88 enodes) 1544087847.548 * * [misc]simplify: iters left: 1 (126 enodes) 1544087847.563 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087847.563 * [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)))))))) 1544087847.563 * * * * [misc]progress: [ 131 / 293 ] simplifiying candidate # 1544087847.563 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087847.563 * * [misc]simplify: iters left: 6 (18 enodes) 1544087847.569 * * [misc]simplify: iters left: 5 (30 enodes) 1544087847.578 * * [misc]simplify: iters left: 4 (46 enodes) 1544087847.591 * * [misc]simplify: iters left: 3 (74 enodes) 1544087847.613 * * [misc]simplify: iters left: 2 (118 enodes) 1544087847.644 * * [misc]simplify: iters left: 1 (163 enodes) 1544087847.680 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1544087847.680 * [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))))))) 1544087847.680 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087847.680 * * [misc]simplify: iters left: 6 (18 enodes) 1544087847.683 * * [misc]simplify: iters left: 5 (28 enodes) 1544087847.687 * * [misc]simplify: iters left: 4 (38 enodes) 1544087847.692 * * [misc]simplify: iters left: 3 (56 enodes) 1544087847.701 * * [misc]simplify: iters left: 2 (95 enodes) 1544087847.722 * * [misc]simplify: iters left: 1 (133 enodes) 1544087847.752 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087847.752 * [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)))))) 1544087847.752 * * * * [misc]progress: [ 132 / 293 ] simplifiying candidate # 1544087847.753 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087847.753 * * [misc]simplify: iters left: 6 (18 enodes) 1544087847.758 * * [misc]simplify: iters left: 5 (30 enodes) 1544087847.765 * * [misc]simplify: iters left: 4 (46 enodes) 1544087847.772 * * [misc]simplify: iters left: 3 (74 enodes) 1544087847.784 * * [misc]simplify: iters left: 2 (118 enodes) 1544087847.800 * * [misc]simplify: iters left: 1 (163 enodes) 1544087847.818 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1544087847.818 * [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))))))) 1544087847.818 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087847.818 * * [misc]simplify: iters left: 6 (18 enodes) 1544087847.821 * * [misc]simplify: iters left: 5 (28 enodes) 1544087847.826 * * [misc]simplify: iters left: 4 (38 enodes) 1544087847.837 * * [misc]simplify: iters left: 3 (56 enodes) 1544087847.852 * * [misc]simplify: iters left: 2 (95 enodes) 1544087847.867 * * [misc]simplify: iters left: 1 (133 enodes) 1544087847.884 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087847.884 * [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)))))) 1544087847.884 * * * * [misc]progress: [ 133 / 293 ] simplifiying candidate # 1544087847.884 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087847.884 * * [misc]simplify: iters left: 6 (17 enodes) 1544087847.887 * * [misc]simplify: iters left: 5 (27 enodes) 1544087847.890 * * [misc]simplify: iters left: 4 (43 enodes) 1544087847.897 * * [misc]simplify: iters left: 3 (71 enodes) 1544087847.910 * * [misc]simplify: iters left: 2 (115 enodes) 1544087847.939 * * [misc]simplify: iters left: 1 (160 enodes) 1544087847.957 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087847.958 * [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))))))) 1544087847.958 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087847.958 * * [misc]simplify: iters left: 6 (15 enodes) 1544087847.960 * * [misc]simplify: iters left: 5 (23 enodes) 1544087847.963 * * [misc]simplify: iters left: 4 (35 enodes) 1544087847.971 * * [misc]simplify: iters left: 3 (53 enodes) 1544087847.986 * * [misc]simplify: iters left: 2 (92 enodes) 1544087848.006 * * [misc]simplify: iters left: 1 (130 enodes) 1544087848.022 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087848.022 * [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))))))) 1544087848.022 * * * * [misc]progress: [ 134 / 293 ] simplifiying candidate # 1544087848.022 * [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))))))) 1544087848.022 * * [misc]simplify: iters left: 6 (20 enodes) 1544087848.025 * * [misc]simplify: iters left: 5 (35 enodes) 1544087848.031 * * [misc]simplify: iters left: 4 (62 enodes) 1544087848.041 * * [misc]simplify: iters left: 3 (103 enodes) 1544087848.057 * * [misc]simplify: iters left: 2 (174 enodes) 1544087848.085 * * [misc]simplify: iters left: 1 (236 enodes) 1544087848.135 * [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)))))) 1544087848.135 * [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)))))))) 1544087848.135 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087848.135 * * [misc]simplify: iters left: 6 (18 enodes) 1544087848.141 * * [misc]simplify: iters left: 5 (27 enodes) 1544087848.148 * * [misc]simplify: iters left: 4 (39 enodes) 1544087848.159 * * [misc]simplify: iters left: 3 (57 enodes) 1544087848.169 * * [misc]simplify: iters left: 2 (96 enodes) 1544087848.182 * * [misc]simplify: iters left: 1 (134 enodes) 1544087848.206 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087848.206 * [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))))) 1544087848.206 * * * * [misc]progress: [ 135 / 293 ] simplifiying candidate # 1544087848.206 * [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)))))) 1544087848.207 * * [misc]simplify: iters left: 6 (19 enodes) 1544087848.210 * * [misc]simplify: iters left: 5 (30 enodes) 1544087848.214 * * [misc]simplify: iters left: 4 (46 enodes) 1544087848.221 * * [misc]simplify: iters left: 3 (74 enodes) 1544087848.232 * * [misc]simplify: iters left: 2 (118 enodes) 1544087848.247 * * [misc]simplify: iters left: 1 (163 enodes) 1544087848.278 * [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)))))) 1544087848.278 * [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)))))))) 1544087848.278 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087848.278 * * [misc]simplify: iters left: 6 (18 enodes) 1544087848.281 * * [misc]simplify: iters left: 5 (27 enodes) 1544087848.284 * * [misc]simplify: iters left: 4 (39 enodes) 1544087848.290 * * [misc]simplify: iters left: 3 (57 enodes) 1544087848.298 * * [misc]simplify: iters left: 2 (96 enodes) 1544087848.322 * * [misc]simplify: iters left: 1 (134 enodes) 1544087848.350 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544087848.350 * [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))))) 1544087848.350 * * * * [misc]progress: [ 136 / 293 ] simplifiying candidate # 1544087848.351 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087848.351 * * [misc]simplify: iters left: 6 (16 enodes) 1544087848.356 * * [misc]simplify: iters left: 5 (28 enodes) 1544087848.364 * * [misc]simplify: iters left: 4 (48 enodes) 1544087848.379 * * [misc]simplify: iters left: 3 (85 enodes) 1544087848.403 * * [misc]simplify: iters left: 2 (188 enodes) 1544087848.477 * * [misc]simplify: iters left: 1 (284 enodes) 1544087848.515 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087848.515 * [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))))))) 1544087848.515 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087848.515 * * [misc]simplify: iters left: 6 (17 enodes) 1544087848.518 * * [misc]simplify: iters left: 5 (26 enodes) 1544087848.522 * * [misc]simplify: iters left: 4 (38 enodes) 1544087848.531 * * [misc]simplify: iters left: 3 (56 enodes) 1544087848.546 * * [misc]simplify: iters left: 2 (95 enodes) 1544087848.564 * * [misc]simplify: iters left: 1 (133 enodes) 1544087848.579 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087848.579 * [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))))))) 1544087848.579 * * * * [misc]progress: [ 137 / 293 ] simplifiying candidate # 1544087848.579 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087848.579 * * [misc]simplify: iters left: 6 (17 enodes) 1544087848.582 * * [misc]simplify: iters left: 5 (27 enodes) 1544087848.588 * * [misc]simplify: iters left: 4 (39 enodes) 1544087848.599 * * [misc]simplify: iters left: 3 (57 enodes) 1544087848.609 * * [misc]simplify: iters left: 2 (96 enodes) 1544087848.622 * * [misc]simplify: iters left: 1 (134 enodes) 1544087848.644 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087848.645 * [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))))))) 1544087848.645 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087848.645 * * [misc]simplify: iters left: 6 (18 enodes) 1544087848.648 * * [misc]simplify: iters left: 5 (28 enodes) 1544087848.651 * * [misc]simplify: iters left: 4 (38 enodes) 1544087848.657 * * [misc]simplify: iters left: 3 (56 enodes) 1544087848.665 * * [misc]simplify: iters left: 2 (95 enodes) 1544087848.684 * * [misc]simplify: iters left: 1 (133 enodes) 1544087848.702 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087848.702 * [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)))))) 1544087848.702 * * * * [misc]progress: [ 138 / 293 ] simplifiying candidate # 1544087848.702 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087848.703 * * [misc]simplify: iters left: 6 (17 enodes) 1544087848.705 * * [misc]simplify: iters left: 5 (27 enodes) 1544087848.709 * * [misc]simplify: iters left: 4 (39 enodes) 1544087848.714 * * [misc]simplify: iters left: 3 (57 enodes) 1544087848.729 * * [misc]simplify: iters left: 2 (96 enodes) 1544087848.754 * * [misc]simplify: iters left: 1 (134 enodes) 1544087848.784 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087848.784 * [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))))))) 1544087848.784 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087848.784 * * [misc]simplify: iters left: 6 (18 enodes) 1544087848.790 * * [misc]simplify: iters left: 5 (28 enodes) 1544087848.798 * * [misc]simplify: iters left: 4 (38 enodes) 1544087848.808 * * [misc]simplify: iters left: 3 (56 enodes) 1544087848.824 * * [misc]simplify: iters left: 2 (95 enodes) 1544087848.847 * * [misc]simplify: iters left: 1 (133 enodes) 1544087848.862 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087848.862 * [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)))))) 1544087848.862 * * * * [misc]progress: [ 139 / 293 ] simplifiying candidate # 1544087848.862 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087848.862 * * [misc]simplify: iters left: 6 (16 enodes) 1544087848.864 * * [misc]simplify: iters left: 5 (24 enodes) 1544087848.867 * * [misc]simplify: iters left: 4 (36 enodes) 1544087848.872 * * [misc]simplify: iters left: 3 (54 enodes) 1544087848.880 * * [misc]simplify: iters left: 2 (93 enodes) 1544087848.894 * * [misc]simplify: iters left: 1 (131 enodes) 1544087848.909 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087848.909 * [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))))))) 1544087848.909 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087848.909 * * [misc]simplify: iters left: 6 (15 enodes) 1544087848.911 * * [misc]simplify: iters left: 5 (23 enodes) 1544087848.915 * * [misc]simplify: iters left: 4 (35 enodes) 1544087848.920 * * [misc]simplify: iters left: 3 (53 enodes) 1544087848.928 * * [misc]simplify: iters left: 2 (92 enodes) 1544087848.940 * * [misc]simplify: iters left: 1 (130 enodes) 1544087848.954 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087848.954 * [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))))))) 1544087848.954 * * * * [misc]progress: [ 140 / 293 ] simplifiying candidate # 1544087848.955 * [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))))))) 1544087848.955 * * [misc]simplify: iters left: 6 (19 enodes) 1544087848.958 * * [misc]simplify: iters left: 5 (30 enodes) 1544087848.962 * * [misc]simplify: iters left: 4 (44 enodes) 1544087848.968 * * [misc]simplify: iters left: 3 (69 enodes) 1544087848.978 * * [misc]simplify: iters left: 2 (116 enodes) 1544087848.995 * * [misc]simplify: iters left: 1 (156 enodes) 1544087849.013 * [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)))))) 1544087849.013 * [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)))))))) 1544087849.014 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087849.014 * * [misc]simplify: iters left: 6 (18 enodes) 1544087849.016 * * [misc]simplify: iters left: 5 (27 enodes) 1544087849.020 * * [misc]simplify: iters left: 4 (39 enodes) 1544087849.025 * * [misc]simplify: iters left: 3 (57 enodes) 1544087849.034 * * [misc]simplify: iters left: 2 (96 enodes) 1544087849.047 * * [misc]simplify: iters left: 1 (134 enodes) 1544087849.076 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087849.076 * [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))))) 1544087849.076 * * * * [misc]progress: [ 141 / 293 ] simplifiying candidate # 1544087849.076 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087849.077 * * [misc]simplify: iters left: 6 (18 enodes) 1544087849.084 * * [misc]simplify: iters left: 5 (27 enodes) 1544087849.091 * * [misc]simplify: iters left: 4 (39 enodes) 1544087849.102 * * [misc]simplify: iters left: 3 (57 enodes) 1544087849.115 * * [misc]simplify: iters left: 2 (96 enodes) 1544087849.127 * * [misc]simplify: iters left: 1 (134 enodes) 1544087849.142 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087849.142 * [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)))))))) 1544087849.143 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087849.143 * * [misc]simplify: iters left: 6 (18 enodes) 1544087849.145 * * [misc]simplify: iters left: 5 (27 enodes) 1544087849.151 * * [misc]simplify: iters left: 4 (39 enodes) 1544087849.162 * * [misc]simplify: iters left: 3 (57 enodes) 1544087849.177 * * [misc]simplify: iters left: 2 (96 enodes) 1544087849.205 * * [misc]simplify: iters left: 1 (134 enodes) 1544087849.235 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544087849.235 * [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))))) 1544087849.235 * * * * [misc]progress: [ 142 / 293 ] simplifiying candidate # 1544087849.235 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1544087849.235 * * [misc]simplify: iters left: 6 (15 enodes) 1544087849.240 * * [misc]simplify: iters left: 5 (25 enodes) 1544087849.247 * * [misc]simplify: iters left: 4 (41 enodes) 1544087849.258 * * [misc]simplify: iters left: 3 (61 enodes) 1544087849.274 * * [misc]simplify: iters left: 2 (99 enodes) 1544087849.298 * * [misc]simplify: iters left: 1 (135 enodes) 1544087849.325 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087849.325 * [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))))))) 1544087849.326 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087849.326 * * [misc]simplify: iters left: 6 (17 enodes) 1544087849.331 * * [misc]simplify: iters left: 5 (26 enodes) 1544087849.338 * * [misc]simplify: iters left: 4 (38 enodes) 1544087849.351 * * [misc]simplify: iters left: 3 (56 enodes) 1544087849.366 * * [misc]simplify: iters left: 2 (95 enodes) 1544087849.391 * * [misc]simplify: iters left: 1 (133 enodes) 1544087849.420 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087849.420 * [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))))))) 1544087849.420 * * * * [misc]progress: [ 143 / 293 ] simplifiying candidate # 1544087849.420 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544087849.420 * * [misc]simplify: iters left: 6 (16 enodes) 1544087849.423 * * [misc]simplify: iters left: 5 (28 enodes) 1544087849.427 * * [misc]simplify: iters left: 4 (40 enodes) 1544087849.433 * * [misc]simplify: iters left: 3 (66 enodes) 1544087849.442 * * [misc]simplify: iters left: 2 (106 enodes) 1544087849.462 * * [misc]simplify: iters left: 1 (147 enodes) 1544087849.496 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1544087849.496 * [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))))))) 1544087849.497 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087849.497 * * [misc]simplify: iters left: 6 (17 enodes) 1544087849.502 * * [misc]simplify: iters left: 5 (27 enodes) 1544087849.509 * * [misc]simplify: iters left: 4 (37 enodes) 1544087849.520 * * [misc]simplify: iters left: 3 (55 enodes) 1544087849.533 * * [misc]simplify: iters left: 2 (94 enodes) 1544087849.546 * * [misc]simplify: iters left: 1 (132 enodes) 1544087849.560 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544087849.560 * [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)))))) 1544087849.560 * * * * [misc]progress: [ 144 / 293 ] simplifiying candidate # 1544087849.561 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544087849.561 * * [misc]simplify: iters left: 6 (16 enodes) 1544087849.563 * * [misc]simplify: iters left: 5 (28 enodes) 1544087849.567 * * [misc]simplify: iters left: 4 (40 enodes) 1544087849.577 * * [misc]simplify: iters left: 3 (66 enodes) 1544087849.597 * * [misc]simplify: iters left: 2 (106 enodes) 1544087849.621 * * [misc]simplify: iters left: 1 (147 enodes) 1544087849.649 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1544087849.649 * [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))))))) 1544087849.649 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087849.649 * * [misc]simplify: iters left: 6 (17 enodes) 1544087849.654 * * [misc]simplify: iters left: 5 (27 enodes) 1544087849.662 * * [misc]simplify: iters left: 4 (37 enodes) 1544087849.672 * * [misc]simplify: iters left: 3 (55 enodes) 1544087849.687 * * [misc]simplify: iters left: 2 (94 enodes) 1544087849.711 * * [misc]simplify: iters left: 1 (132 enodes) 1544087849.742 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544087849.742 * [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)))))) 1544087849.742 * * * * [misc]progress: [ 145 / 293 ] simplifiying candidate # 1544087849.743 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087849.743 * * [misc]simplify: iters left: 6 (15 enodes) 1544087849.747 * * [misc]simplify: iters left: 5 (25 enodes) 1544087849.754 * * [misc]simplify: iters left: 4 (37 enodes) 1544087849.765 * * [misc]simplify: iters left: 3 (63 enodes) 1544087849.781 * * [misc]simplify: iters left: 2 (103 enodes) 1544087849.794 * * [misc]simplify: iters left: 1 (144 enodes) 1544087849.809 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1544087849.809 * [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))))))) 1544087849.810 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087849.810 * * [misc]simplify: iters left: 6 (14 enodes) 1544087849.812 * * [misc]simplify: iters left: 5 (22 enodes) 1544087849.815 * * [misc]simplify: iters left: 4 (34 enodes) 1544087849.824 * * [misc]simplify: iters left: 3 (52 enodes) 1544087849.831 * * [misc]simplify: iters left: 2 (91 enodes) 1544087849.845 * * [misc]simplify: iters left: 1 (129 enodes) 1544087849.860 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087849.860 * [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))))))) 1544087849.860 * * * * [misc]progress: [ 146 / 293 ] simplifiying candidate # 1544087849.860 * [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))))))) 1544087849.860 * * [misc]simplify: iters left: 6 (18 enodes) 1544087849.863 * * [misc]simplify: iters left: 5 (31 enodes) 1544087849.868 * * [misc]simplify: iters left: 4 (45 enodes) 1544087849.882 * * [misc]simplify: iters left: 3 (75 enodes) 1544087849.904 * * [misc]simplify: iters left: 2 (120 enodes) 1544087849.931 * * [misc]simplify: iters left: 1 (161 enodes) 1544087849.952 * [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))))) 1544087849.952 * [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)))))))) 1544087849.953 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087849.953 * * [misc]simplify: iters left: 6 (17 enodes) 1544087849.955 * * [misc]simplify: iters left: 5 (26 enodes) 1544087849.959 * * [misc]simplify: iters left: 4 (38 enodes) 1544087849.964 * * [misc]simplify: iters left: 3 (56 enodes) 1544087849.972 * * [misc]simplify: iters left: 2 (95 enodes) 1544087849.985 * * [misc]simplify: iters left: 1 (133 enodes) 1544087850.000 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087850.000 * [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))))))) 1544087850.000 * * * * [misc]progress: [ 147 / 293 ] simplifiying candidate # 1544087850.000 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087850.001 * * [misc]simplify: iters left: 6 (17 enodes) 1544087850.003 * * [misc]simplify: iters left: 5 (28 enodes) 1544087850.007 * * [misc]simplify: iters left: 4 (40 enodes) 1544087850.013 * * [misc]simplify: iters left: 3 (66 enodes) 1544087850.024 * * [misc]simplify: iters left: 2 (106 enodes) 1544087850.042 * * [misc]simplify: iters left: 1 (147 enodes) 1544087850.065 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544087850.065 * [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)))))))) 1544087850.065 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087850.065 * * [misc]simplify: iters left: 6 (17 enodes) 1544087850.068 * * [misc]simplify: iters left: 5 (26 enodes) 1544087850.071 * * [misc]simplify: iters left: 4 (38 enodes) 1544087850.077 * * [misc]simplify: iters left: 3 (56 enodes) 1544087850.085 * * [misc]simplify: iters left: 2 (95 enodes) 1544087850.097 * * [misc]simplify: iters left: 1 (133 enodes) 1544087850.118 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087850.118 * [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))))))) 1544087850.118 * * * * [misc]progress: [ 148 / 293 ] simplifiying candidate # 1544087850.118 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 1)) 1544087850.118 * * [misc]simplify: iters left: 6 (13 enodes) 1544087850.120 * * [misc]simplify: iters left: 5 (21 enodes) 1544087850.123 * * [misc]simplify: iters left: 4 (30 enodes) 1544087850.127 * * [misc]simplify: iters left: 3 (48 enodes) 1544087850.134 * * [misc]simplify: iters left: 2 (86 enodes) 1544087850.144 * * [misc]simplify: iters left: 1 (122 enodes) 1544087850.167 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087850.167 * [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))))))) 1544087850.167 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087850.168 * * [misc]simplify: iters left: 6 (16 enodes) 1544087850.173 * * [misc]simplify: iters left: 5 (25 enodes) 1544087850.179 * * [misc]simplify: iters left: 4 (37 enodes) 1544087850.190 * * [misc]simplify: iters left: 3 (55 enodes) 1544087850.205 * * [misc]simplify: iters left: 2 (94 enodes) 1544087850.232 * * [misc]simplify: iters left: 1 (132 enodes) 1544087850.260 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087850.260 * [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))))))) 1544087850.260 * * * * [misc]progress: [ 149 / 293 ] simplifiying candidate # 1544087850.261 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1) 1544087850.261 * * [misc]simplify: iters left: 6 (12 enodes) 1544087850.264 * * [misc]simplify: iters left: 5 (20 enodes) 1544087850.271 * * [misc]simplify: iters left: 4 (31 enodes) 1544087850.279 * * [misc]simplify: iters left: 3 (47 enodes) 1544087850.291 * * [misc]simplify: iters left: 2 (85 enodes) 1544087850.312 * * [misc]simplify: iters left: 1 (121 enodes) 1544087850.338 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087850.338 * [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))))))) 1544087850.338 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087850.339 * * [misc]simplify: iters left: 6 (16 enodes) 1544087850.343 * * [misc]simplify: iters left: 5 (25 enodes) 1544087850.350 * * [misc]simplify: iters left: 4 (37 enodes) 1544087850.360 * * [misc]simplify: iters left: 3 (55 enodes) 1544087850.376 * * [misc]simplify: iters left: 2 (94 enodes) 1544087850.401 * * [misc]simplify: iters left: 1 (132 enodes) 1544087850.423 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087850.423 * [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))))))) 1544087850.423 * * * * [misc]progress: [ 150 / 293 ] simplifiying candidate # 1544087850.423 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)) 1544087850.423 * * [misc]simplify: iters left: 6 (12 enodes) 1544087850.425 * * [misc]simplify: iters left: 5 (18 enodes) 1544087850.428 * * [misc]simplify: iters left: 4 (27 enodes) 1544087850.431 * * [misc]simplify: iters left: 3 (43 enodes) 1544087850.438 * * [misc]simplify: iters left: 2 (82 enodes) 1544087850.449 * * [misc]simplify: iters left: 1 (120 enodes) 1544087850.462 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544087850.462 * [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))))))) 1544087850.462 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087850.462 * * [misc]simplify: iters left: 6 (16 enodes) 1544087850.466 * * [misc]simplify: iters left: 5 (27 enodes) 1544087850.473 * * [misc]simplify: iters left: 4 (39 enodes) 1544087850.486 * * [misc]simplify: iters left: 3 (65 enodes) 1544087850.502 * * [misc]simplify: iters left: 2 (105 enodes) 1544087850.527 * * [misc]simplify: iters left: 1 (146 enodes) 1544087850.557 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544087850.558 * [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))))))) 1544087850.558 * * * * [misc]progress: [ 151 / 293 ] simplifiying candidate # 1544087850.558 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544087850.558 * * [misc]simplify: iters left: 6 (16 enodes) 1544087850.563 * * [misc]simplify: iters left: 5 (26 enodes) 1544087850.570 * * [misc]simplify: iters left: 4 (38 enodes) 1544087850.581 * * [misc]simplify: iters left: 3 (56 enodes) 1544087850.596 * * [misc]simplify: iters left: 2 (95 enodes) 1544087850.620 * * [misc]simplify: iters left: 1 (133 enodes) 1544087850.651 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) 1544087850.651 * [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))))) 1544087850.651 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1544087850.651 * * [misc]simplify: iters left: 6 (14 enodes) 1544087850.655 * * [misc]simplify: iters left: 5 (21 enodes) 1544087850.661 * * [misc]simplify: iters left: 4 (30 enodes) 1544087850.669 * * [misc]simplify: iters left: 3 (46 enodes) 1544087850.683 * * [misc]simplify: iters left: 2 (85 enodes) 1544087850.704 * * [misc]simplify: iters left: 1 (123 enodes) 1544087850.718 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1544087850.718 * [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))))) 1544087850.718 * * * * [misc]progress: [ 152 / 293 ] simplifiying candidate # 1544087850.718 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087850.718 * * [misc]simplify: iters left: 6 (14 enodes) 1544087850.720 * * [misc]simplify: iters left: 5 (21 enodes) 1544087850.723 * * [misc]simplify: iters left: 4 (24 enodes) 1544087850.726 * [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)))))) 1544087850.726 * [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)))))))) 1544087850.726 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087850.726 * * [misc]simplify: iters left: 6 (16 enodes) 1544087850.729 * * [misc]simplify: iters left: 5 (23 enodes) 1544087850.732 * * [misc]simplify: iters left: 4 (32 enodes) 1544087850.736 * * [misc]simplify: iters left: 3 (48 enodes) 1544087850.745 * * [misc]simplify: iters left: 2 (89 enodes) 1544087850.757 * * [misc]simplify: iters left: 1 (131 enodes) 1544087850.772 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087850.772 * [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)))))))) 1544087850.772 * * * * [misc]progress: [ 153 / 293 ] simplifiying candidate # 1544087850.773 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087850.773 * * [misc]simplify: iters left: 6 (13 enodes) 1544087850.775 * * [misc]simplify: iters left: 5 (18 enodes) 1544087850.777 * * [misc]simplify: iters left: 4 (21 enodes) 1544087850.780 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087850.780 * [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)))))))) 1544087850.780 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087850.780 * * [misc]simplify: iters left: 6 (16 enodes) 1544087850.785 * * [misc]simplify: iters left: 5 (23 enodes) 1544087850.792 * * [misc]simplify: iters left: 4 (32 enodes) 1544087850.800 * * [misc]simplify: iters left: 3 (48 enodes) 1544087850.814 * * [misc]simplify: iters left: 2 (89 enodes) 1544087850.838 * * [misc]simplify: iters left: 1 (131 enodes) 1544087850.872 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544087850.872 * [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)))))))) 1544087850.872 * * * * [misc]progress: [ 154 / 293 ] simplifiying candidate # 1544087850.872 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087850.872 * * [misc]simplify: iters left: 6 (12 enodes) 1544087850.876 * * [misc]simplify: iters left: 5 (20 enodes) 1544087850.882 * * [misc]simplify: iters left: 4 (27 enodes) 1544087850.890 * * [misc]simplify: iters left: 3 (37 enodes) 1544087850.903 * * [misc]simplify: iters left: 2 (64 enodes) 1544087850.916 * * [misc]simplify: iters left: 1 (93 enodes) 1544087850.932 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087850.932 * [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))))))) 1544087850.932 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087850.932 * * [misc]simplify: iters left: 6 (17 enodes) 1544087850.935 * * [misc]simplify: iters left: 5 (27 enodes) 1544087850.938 * * [misc]simplify: iters left: 4 (37 enodes) 1544087850.944 * * [misc]simplify: iters left: 3 (55 enodes) 1544087850.952 * * [misc]simplify: iters left: 2 (100 enodes) 1544087850.978 * * [misc]simplify: iters left: 1 (150 enodes) 1544087851.018 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544087851.018 * [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)))))) 1544087851.018 * * * * [misc]progress: [ 155 / 293 ] simplifiying candidate # 1544087851.019 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544087851.019 * * [misc]simplify: iters left: 6 (12 enodes) 1544087851.022 * * [misc]simplify: iters left: 5 (20 enodes) 1544087851.028 * * [misc]simplify: iters left: 4 (27 enodes) 1544087851.035 * * [misc]simplify: iters left: 3 (37 enodes) 1544087851.048 * * [misc]simplify: iters left: 2 (64 enodes) 1544087851.068 * * [misc]simplify: iters left: 1 (93 enodes) 1544087851.100 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087851.101 * [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))))))) 1544087851.101 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087851.101 * * [misc]simplify: iters left: 6 (17 enodes) 1544087851.106 * * [misc]simplify: iters left: 5 (27 enodes) 1544087851.113 * * [misc]simplify: iters left: 4 (37 enodes) 1544087851.123 * * [misc]simplify: iters left: 3 (55 enodes) 1544087851.137 * * [misc]simplify: iters left: 2 (100 enodes) 1544087851.162 * * [misc]simplify: iters left: 1 (150 enodes) 1544087851.199 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544087851.199 * [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)))))) 1544087851.199 * * * * [misc]progress: [ 156 / 293 ] simplifiying candidate # 1544087851.199 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544087851.199 * * [misc]simplify: iters left: 6 (13 enodes) 1544087851.203 * * [misc]simplify: iters left: 5 (21 enodes) 1544087851.208 * * [misc]simplify: iters left: 4 (31 enodes) 1544087851.216 * * [misc]simplify: iters left: 3 (51 enodes) 1544087851.233 * * [misc]simplify: iters left: 2 (90 enodes) 1544087851.263 * * [misc]simplify: iters left: 1 (181 enodes) 1544087851.333 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087851.333 * [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))))))) 1544087851.334 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087851.334 * * [misc]simplify: iters left: 6 (14 enodes) 1544087851.336 * * [misc]simplify: iters left: 5 (22 enodes) 1544087851.339 * * [misc]simplify: iters left: 4 (34 enodes) 1544087851.347 * * [misc]simplify: iters left: 3 (52 enodes) 1544087851.362 * * [misc]simplify: iters left: 2 (97 enodes) 1544087851.389 * * [misc]simplify: iters left: 1 (148 enodes) 1544087851.429 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544087851.429 * [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)))))) 1544087851.429 * * * * [misc]progress: [ 157 / 293 ] simplifiying candidate # 1544087851.429 * [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))))))) 1544087851.430 * * [misc]simplify: iters left: 6 (16 enodes) 1544087851.435 * * [misc]simplify: iters left: 5 (29 enodes) 1544087851.444 * * [misc]simplify: iters left: 4 (50 enodes) 1544087851.451 * * [misc]simplify: iters left: 3 (70 enodes) 1544087851.464 * * [misc]simplify: iters left: 2 (169 enodes) 1544087851.546 * [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)))) 1544087851.546 * [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)))))))) 1544087851.546 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087851.546 * * [misc]simplify: iters left: 6 (17 enodes) 1544087851.551 * * [misc]simplify: iters left: 5 (26 enodes) 1544087851.557 * * [misc]simplify: iters left: 4 (38 enodes) 1544087851.562 * * [misc]simplify: iters left: 3 (56 enodes) 1544087851.572 * * [misc]simplify: iters left: 2 (101 enodes) 1544087851.586 * * [misc]simplify: iters left: 1 (151 enodes) 1544087851.606 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087851.606 * [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))))))) 1544087851.606 * * * * [misc]progress: [ 158 / 293 ] simplifiying candidate # 1544087851.606 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087851.606 * * [misc]simplify: iters left: 6 (15 enodes) 1544087851.608 * * [misc]simplify: iters left: 5 (24 enodes) 1544087851.611 * * [misc]simplify: iters left: 4 (34 enodes) 1544087851.616 * * [misc]simplify: iters left: 3 (54 enodes) 1544087851.625 * * [misc]simplify: iters left: 2 (93 enodes) 1544087851.640 * * [misc]simplify: iters left: 1 (182 enodes) 1544087851.726 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087851.726 * [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)))))))) 1544087851.726 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087851.726 * * [misc]simplify: iters left: 6 (17 enodes) 1544087851.729 * * [misc]simplify: iters left: 5 (26 enodes) 1544087851.732 * * [misc]simplify: iters left: 4 (38 enodes) 1544087851.738 * * [misc]simplify: iters left: 3 (56 enodes) 1544087851.746 * * [misc]simplify: iters left: 2 (101 enodes) 1544087851.770 * * [misc]simplify: iters left: 1 (151 enodes) 1544087851.811 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087851.811 * [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))))))) 1544087851.811 * * * * [misc]progress: [ 159 / 293 ] simplifiying candidate # 1544087851.811 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544087851.811 * * [misc]simplify: iters left: 6 (7 enodes) 1544087851.814 * * [misc]simplify: iters left: 5 (13 enodes) 1544087851.818 * * [misc]simplify: iters left: 4 (22 enodes) 1544087851.823 * * [misc]simplify: iters left: 3 (24 enodes) 1544087851.828 * * [misc]simplify: iters left: 2 (29 enodes) 1544087851.833 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1544087851.833 * [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))))))) 1544087851.833 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087851.833 * * [misc]simplify: iters left: 6 (16 enodes) 1544087851.836 * * [misc]simplify: iters left: 5 (25 enodes) 1544087851.839 * * [misc]simplify: iters left: 4 (37 enodes) 1544087851.844 * * [misc]simplify: iters left: 3 (55 enodes) 1544087851.852 * * [misc]simplify: iters left: 2 (100 enodes) 1544087851.866 * * [misc]simplify: iters left: 1 (150 enodes) 1544087851.896 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087851.896 * [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))))))) 1544087851.896 * * * * [misc]progress: [ 160 / 293 ] simplifiying candidate # 1544087851.897 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087851.897 * * [misc]simplify: iters left: 6 (11 enodes) 1544087851.900 * * [misc]simplify: iters left: 5 (17 enodes) 1544087851.904 * * [misc]simplify: iters left: 4 (20 enodes) 1544087851.908 * * [misc]simplify: iters left: 3 (22 enodes) 1544087851.912 * * [misc]simplify: iters left: 2 (34 enodes) 1544087851.916 * * [misc]simplify: iters left: 1 (42 enodes) 1544087851.920 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544087851.921 * [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))))))) 1544087851.921 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087851.921 * * [misc]simplify: iters left: 6 (17 enodes) 1544087851.923 * * [misc]simplify: iters left: 5 (27 enodes) 1544087851.927 * * [misc]simplify: iters left: 4 (37 enodes) 1544087851.932 * * [misc]simplify: iters left: 3 (55 enodes) 1544087851.941 * * [misc]simplify: iters left: 2 (100 enodes) 1544087851.970 * * [misc]simplify: iters left: 1 (150 enodes) 1544087852.014 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544087852.014 * [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)))))) 1544087852.014 * * * * [misc]progress: [ 161 / 293 ] simplifiying candidate # 1544087852.014 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544087852.015 * * [misc]simplify: iters left: 6 (11 enodes) 1544087852.018 * * [misc]simplify: iters left: 5 (17 enodes) 1544087852.022 * * [misc]simplify: iters left: 4 (20 enodes) 1544087852.025 * * [misc]simplify: iters left: 3 (22 enodes) 1544087852.029 * * [misc]simplify: iters left: 2 (34 enodes) 1544087852.033 * * [misc]simplify: iters left: 1 (42 enodes) 1544087852.038 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544087852.038 * [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))))))) 1544087852.038 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087852.038 * * [misc]simplify: iters left: 6 (17 enodes) 1544087852.040 * * [misc]simplify: iters left: 5 (27 enodes) 1544087852.044 * * [misc]simplify: iters left: 4 (37 enodes) 1544087852.049 * * [misc]simplify: iters left: 3 (55 enodes) 1544087852.058 * * [misc]simplify: iters left: 2 (100 enodes) 1544087852.084 * * [misc]simplify: iters left: 1 (150 enodes) 1544087852.128 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544087852.128 * [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)))))) 1544087852.128 * * * * [misc]progress: [ 162 / 293 ] simplifiying candidate # 1544087852.128 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544087852.128 * * [misc]simplify: iters left: 6 (12 enodes) 1544087852.132 * * [misc]simplify: iters left: 5 (18 enodes) 1544087852.137 * * [misc]simplify: iters left: 4 (24 enodes) 1544087852.143 * * [misc]simplify: iters left: 3 (32 enodes) 1544087852.153 * * [misc]simplify: iters left: 2 (41 enodes) 1544087852.161 * * [misc]simplify: iters left: 1 (51 enodes) 1544087852.167 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544087852.167 * [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))))))) 1544087852.167 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544087852.167 * * [misc]simplify: iters left: 6 (14 enodes) 1544087852.169 * * [misc]simplify: iters left: 5 (22 enodes) 1544087852.173 * * [misc]simplify: iters left: 4 (34 enodes) 1544087852.178 * * [misc]simplify: iters left: 3 (52 enodes) 1544087852.185 * * [misc]simplify: iters left: 2 (97 enodes) 1544087852.199 * * [misc]simplify: iters left: 1 (148 enodes) 1544087852.228 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544087852.229 * [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)))))) 1544087852.229 * * * * [misc]progress: [ 163 / 293 ] simplifiying candidate # 1544087852.229 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087852.229 * * [misc]simplify: iters left: 6 (15 enodes) 1544087852.234 * * [misc]simplify: iters left: 5 (24 enodes) 1544087852.240 * * [misc]simplify: iters left: 4 (32 enodes) 1544087852.249 * * [misc]simplify: iters left: 3 (43 enodes) 1544087852.262 * * [misc]simplify: iters left: 2 (69 enodes) 1544087852.284 * * [misc]simplify: iters left: 1 (119 enodes) 1544087852.319 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087852.319 * [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)))))))) 1544087852.319 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087852.319 * * [misc]simplify: iters left: 6 (17 enodes) 1544087852.327 * * [misc]simplify: iters left: 5 (26 enodes) 1544087852.335 * * [misc]simplify: iters left: 4 (38 enodes) 1544087852.346 * * [misc]simplify: iters left: 3 (56 enodes) 1544087852.355 * * [misc]simplify: iters left: 2 (101 enodes) 1544087852.369 * * [misc]simplify: iters left: 1 (151 enodes) 1544087852.396 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087852.396 * [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))))))) 1544087852.396 * * * * [misc]progress: [ 164 / 293 ] simplifiying candidate # 1544087852.396 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087852.396 * * [misc]simplify: iters left: 6 (14 enodes) 1544087852.400 * * [misc]simplify: iters left: 5 (21 enodes) 1544087852.403 * * [misc]simplify: iters left: 4 (27 enodes) 1544087852.406 * * [misc]simplify: iters left: 3 (35 enodes) 1544087852.412 * * [misc]simplify: iters left: 2 (43 enodes) 1544087852.417 * * [misc]simplify: iters left: 1 (56 enodes) 1544087852.426 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544087852.426 * [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)))))))) 1544087852.426 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087852.426 * * [misc]simplify: iters left: 6 (17 enodes) 1544087852.429 * * [misc]simplify: iters left: 5 (26 enodes) 1544087852.432 * * [misc]simplify: iters left: 4 (38 enodes) 1544087852.438 * * [misc]simplify: iters left: 3 (56 enodes) 1544087852.453 * * [misc]simplify: iters left: 2 (101 enodes) 1544087852.468 * * [misc]simplify: iters left: 1 (151 enodes) 1544087852.493 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087852.493 * [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))))))) 1544087852.494 * * * * [misc]progress: [ 165 / 293 ] simplifiying candidate # 1544087852.494 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1544087852.494 * * [misc]simplify: iters left: 6 (6 enodes) 1544087852.496 * * [misc]simplify: iters left: 5 (10 enodes) 1544087852.499 * * [misc]simplify: iters left: 4 (16 enodes) 1544087852.501 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544087852.501 * [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))))))) 1544087852.501 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087852.501 * * [misc]simplify: iters left: 6 (16 enodes) 1544087852.504 * * [misc]simplify: iters left: 5 (25 enodes) 1544087852.507 * * [misc]simplify: iters left: 4 (37 enodes) 1544087852.512 * * [misc]simplify: iters left: 3 (55 enodes) 1544087852.522 * * [misc]simplify: iters left: 2 (100 enodes) 1544087852.544 * * [misc]simplify: iters left: 1 (150 enodes) 1544087852.583 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087852.583 * [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))))))) 1544087852.583 * * * * [misc]progress: [ 166 / 293 ] simplifiying candidate # 1544087852.584 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544087852.584 * * [misc]simplify: iters left: 6 (8 enodes) 1544087852.587 * * [misc]simplify: iters left: 5 (14 enodes) 1544087852.590 * * [misc]simplify: iters left: 4 (15 enodes) 1544087852.595 * * [misc]simplify: iters left: 3 (19 enodes) 1544087852.599 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544087852.599 * [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))))))) 1544087852.599 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087852.599 * * [misc]simplify: iters left: 6 (16 enodes) 1544087852.604 * * [misc]simplify: iters left: 5 (26 enodes) 1544087852.612 * * [misc]simplify: iters left: 4 (36 enodes) 1544087852.622 * * [misc]simplify: iters left: 3 (54 enodes) 1544087852.638 * * [misc]simplify: iters left: 2 (99 enodes) 1544087852.666 * * [misc]simplify: iters left: 1 (149 enodes) 1544087852.701 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544087852.701 * [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)))))) 1544087852.701 * * * * [misc]progress: [ 167 / 293 ] simplifiying candidate # 1544087852.702 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544087852.702 * * [misc]simplify: iters left: 6 (8 enodes) 1544087852.704 * * [misc]simplify: iters left: 5 (14 enodes) 1544087852.707 * * [misc]simplify: iters left: 4 (15 enodes) 1544087852.711 * * [misc]simplify: iters left: 3 (19 enodes) 1544087852.715 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544087852.715 * [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))))))) 1544087852.715 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544087852.715 * * [misc]simplify: iters left: 6 (16 enodes) 1544087852.719 * * [misc]simplify: iters left: 5 (26 enodes) 1544087852.726 * * [misc]simplify: iters left: 4 (36 enodes) 1544087852.735 * * [misc]simplify: iters left: 3 (54 enodes) 1544087852.749 * * [misc]simplify: iters left: 2 (99 enodes) 1544087852.774 * * [misc]simplify: iters left: 1 (149 enodes) 1544087852.816 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544087852.816 * [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)))))) 1544087852.817 * * * * [misc]progress: [ 168 / 293 ] simplifiying candidate # 1544087852.817 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1544087852.817 * * [misc]simplify: iters left: 6 (10 enodes) 1544087852.819 * * [misc]simplify: iters left: 5 (16 enodes) 1544087852.821 * * [misc]simplify: iters left: 4 (20 enodes) 1544087852.824 * * [misc]simplify: iters left: 3 (24 enodes) 1544087852.826 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544087852.827 * [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))))))) 1544087852.827 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544087852.827 * * [misc]simplify: iters left: 6 (13 enodes) 1544087852.829 * * [misc]simplify: iters left: 5 (21 enodes) 1544087852.832 * * [misc]simplify: iters left: 4 (33 enodes) 1544087852.837 * * [misc]simplify: iters left: 3 (51 enodes) 1544087852.846 * * [misc]simplify: iters left: 2 (96 enodes) 1544087852.871 * * [misc]simplify: iters left: 1 (147 enodes) 1544087852.908 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))) 1544087852.908 * [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)))))) 1544087852.908 * * * * [misc]progress: [ 169 / 293 ] simplifiying candidate # 1544087852.908 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544087852.909 * * [misc]simplify: iters left: 6 (13 enodes) 1544087852.913 * * [misc]simplify: iters left: 5 (22 enodes) 1544087852.922 * * [misc]simplify: iters left: 4 (26 enodes) 1544087852.930 * * [misc]simplify: iters left: 3 (32 enodes) 1544087852.937 * * [misc]simplify: iters left: 2 (34 enodes) 1544087852.945 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087852.945 * [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)))))))) 1544087852.945 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087852.946 * * [misc]simplify: iters left: 6 (16 enodes) 1544087852.950 * * [misc]simplify: iters left: 5 (25 enodes) 1544087852.957 * * [misc]simplify: iters left: 4 (37 enodes) 1544087852.968 * * [misc]simplify: iters left: 3 (55 enodes) 1544087852.983 * * [misc]simplify: iters left: 2 (100 enodes) 1544087853.003 * * [misc]simplify: iters left: 1 (150 enodes) 1544087853.022 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544087853.023 * [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)))))) 1544087853.023 * * * * [misc]progress: [ 170 / 293 ] simplifiying candidate # 1544087853.023 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087853.023 * * [misc]simplify: iters left: 6 (12 enodes) 1544087853.027 * * [misc]simplify: iters left: 5 (19 enodes) 1544087853.032 * * [misc]simplify: iters left: 4 (23 enodes) 1544087853.038 * * [misc]simplify: iters left: 3 (27 enodes) 1544087853.045 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087853.045 * [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)))))))) 1544087853.046 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087853.046 * * [misc]simplify: iters left: 6 (16 enodes) 1544087853.051 * * [misc]simplify: iters left: 5 (25 enodes) 1544087853.058 * * [misc]simplify: iters left: 4 (37 enodes) 1544087853.068 * * [misc]simplify: iters left: 3 (55 enodes) 1544087853.084 * * [misc]simplify: iters left: 2 (100 enodes) 1544087853.110 * * [misc]simplify: iters left: 1 (150 enodes) 1544087853.150 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544087853.150 * [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)))))) 1544087853.150 * * * * [misc]progress: [ 171 / 293 ] simplifiying candidate # 1544087853.150 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1544087853.150 * * [misc]simplify: iters left: 4 (3 enodes) 1544087853.151 * * [misc]simplify: iters left: 3 (5 enodes) 1544087853.152 * [exit]simplify: Simplified to 1 1544087853.152 * [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))))))) 1544087853.152 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.152 * * [misc]simplify: iters left: 6 (15 enodes) 1544087853.157 * * [misc]simplify: iters left: 5 (24 enodes) 1544087853.164 * * [misc]simplify: iters left: 4 (36 enodes) 1544087853.174 * * [misc]simplify: iters left: 3 (54 enodes) 1544087853.189 * * [misc]simplify: iters left: 2 (99 enodes) 1544087853.216 * * [misc]simplify: iters left: 1 (149 enodes) 1544087853.240 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087853.240 * [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)))))) 1544087853.240 * * * * [misc]progress: [ 172 / 293 ] simplifiying candidate # 1544087853.240 * [enter]simplify: Simplifying (/ 1 1) 1544087853.240 * * [misc]simplify: iters left: 2 (2 enodes) 1544087853.241 * * [misc]simplify: iters left: 1 (4 enodes) 1544087853.241 * [exit]simplify: Simplified to 1 1544087853.241 * [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))))))) 1544087853.241 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.241 * * [misc]simplify: iters left: 6 (15 enodes) 1544087853.244 * * [misc]simplify: iters left: 5 (24 enodes) 1544087853.247 * * [misc]simplify: iters left: 4 (36 enodes) 1544087853.253 * * [misc]simplify: iters left: 3 (54 enodes) 1544087853.266 * * [misc]simplify: iters left: 2 (99 enodes) 1544087853.280 * * [misc]simplify: iters left: 1 (149 enodes) 1544087853.310 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087853.310 * [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)))))) 1544087853.310 * * * * [misc]progress: [ 173 / 293 ] simplifiying candidate # 1544087853.310 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544087853.310 * * [misc]simplify: iters left: 3 (4 enodes) 1544087853.311 * * [misc]simplify: iters left: 2 (6 enodes) 1544087853.311 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544087853.311 * [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))))))) 1544087853.312 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.312 * * [misc]simplify: iters left: 6 (15 enodes) 1544087853.314 * * [misc]simplify: iters left: 5 (26 enodes) 1544087853.317 * * [misc]simplify: iters left: 4 (37 enodes) 1544087853.323 * * [misc]simplify: iters left: 3 (64 enodes) 1544087853.333 * * [misc]simplify: iters left: 2 (125 enodes) 1544087853.367 * * [misc]simplify: iters left: 1 (198 enodes) 1544087853.430 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087853.430 * [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)))))) 1544087853.430 * * * * [misc]progress: [ 174 / 293 ] simplifiying candidate # 1544087853.430 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1544087853.431 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.432 * * [misc]simplify: iters left: 5 (16 enodes) 1544087853.434 * * [misc]simplify: iters left: 4 (19 enodes) 1544087853.436 * * [misc]simplify: iters left: 3 (21 enodes) 1544087853.439 * * [misc]simplify: iters left: 2 (33 enodes) 1544087853.444 * * [misc]simplify: iters left: 1 (41 enodes) 1544087853.448 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1544087853.448 * [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))))) 1544087853.448 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544087853.448 * * [misc]simplify: iters left: 6 (13 enodes) 1544087853.450 * * [misc]simplify: iters left: 5 (20 enodes) 1544087853.453 * * [misc]simplify: iters left: 4 (29 enodes) 1544087853.457 * * [misc]simplify: iters left: 3 (45 enodes) 1544087853.464 * * [misc]simplify: iters left: 2 (86 enodes) 1544087853.483 * * [misc]simplify: iters left: 1 (128 enodes) 1544087853.512 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1544087853.512 * [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))))) 1544087853.512 * * * * [misc]progress: [ 175 / 293 ] simplifiying candidate # 1544087853.512 * * * * [misc]progress: [ 176 / 293 ] simplifiying candidate # 1544087853.512 * * * * [misc]progress: [ 177 / 293 ] simplifiying candidate # 1544087853.512 * * * * [misc]progress: [ 178 / 293 ] simplifiying candidate # 1544087853.512 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.512 * * [misc]simplify: iters left: 6 (11 enodes) 1544087853.516 * * [misc]simplify: iters left: 5 (14 enodes) 1544087853.521 * * [misc]simplify: iters left: 4 (17 enodes) 1544087853.526 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.526 * [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))))))) 1544087853.526 * * * * [misc]progress: [ 179 / 293 ] simplifiying candidate # 1544087853.526 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.526 * * [misc]simplify: iters left: 6 (11 enodes) 1544087853.530 * * [misc]simplify: iters left: 5 (14 enodes) 1544087853.533 * * [misc]simplify: iters left: 4 (17 enodes) 1544087853.538 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.538 * [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))))))) 1544087853.538 * * * * [misc]progress: [ 180 / 293 ] simplifiying candidate # 1544087853.538 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087853.538 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.541 * * [misc]simplify: iters left: 5 (13 enodes) 1544087853.545 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087853.545 * [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))))) 1544087853.545 * * * * [misc]progress: [ 181 / 293 ] simplifiying candidate # 1544087853.545 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087853.545 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.548 * * [misc]simplify: iters left: 5 (13 enodes) 1544087853.552 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087853.552 * [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))))) 1544087853.552 * * * * [misc]progress: [ 182 / 293 ] simplifiying candidate # 1544087853.552 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087853.552 * * [misc]simplify: iters left: 6 (9 enodes) 1544087853.555 * * [misc]simplify: iters left: 5 (11 enodes) 1544087853.558 * * [misc]simplify: iters left: 4 (14 enodes) 1544087853.562 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087853.562 * [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)))))) 1544087853.562 * * * * [misc]progress: [ 183 / 293 ] simplifiying candidate # 1544087853.563 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.563 * * [misc]simplify: iters left: 6 (12 enodes) 1544087853.566 * * [misc]simplify: iters left: 5 (15 enodes) 1544087853.570 * * [misc]simplify: iters left: 4 (18 enodes) 1544087853.575 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.575 * [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))))))) 1544087853.575 * * * * [misc]progress: [ 184 / 293 ] simplifiying candidate # 1544087853.575 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.576 * * [misc]simplify: iters left: 6 (12 enodes) 1544087853.579 * * [misc]simplify: iters left: 5 (15 enodes) 1544087853.583 * * [misc]simplify: iters left: 4 (18 enodes) 1544087853.586 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.586 * [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))))))) 1544087853.586 * * * * [misc]progress: [ 185 / 293 ] simplifiying candidate # 1544087853.586 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.586 * * [misc]simplify: iters left: 6 (11 enodes) 1544087853.587 * * [misc]simplify: iters left: 5 (14 enodes) 1544087853.589 * * [misc]simplify: iters left: 4 (17 enodes) 1544087853.591 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.591 * [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)))))) 1544087853.591 * * * * [misc]progress: [ 186 / 293 ] simplifiying candidate # 1544087853.592 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087853.592 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.593 * * [misc]simplify: iters left: 5 (13 enodes) 1544087853.595 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087853.595 * [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))))) 1544087853.595 * * * * [misc]progress: [ 187 / 293 ] simplifiying candidate # 1544087853.595 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087853.595 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.597 * * [misc]simplify: iters left: 5 (13 enodes) 1544087853.598 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087853.598 * [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))))) 1544087853.598 * * * * [misc]progress: [ 188 / 293 ] simplifiying candidate # 1544087853.599 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087853.599 * * [misc]simplify: iters left: 6 (9 enodes) 1544087853.600 * * [misc]simplify: iters left: 5 (11 enodes) 1544087853.601 * * [misc]simplify: iters left: 4 (14 enodes) 1544087853.603 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087853.603 * [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)))))) 1544087853.603 * * * * [misc]progress: [ 189 / 293 ] simplifiying candidate # 1544087853.603 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.603 * * [misc]simplify: iters left: 6 (12 enodes) 1544087853.605 * * [misc]simplify: iters left: 5 (15 enodes) 1544087853.607 * * [misc]simplify: iters left: 4 (18 enodes) 1544087853.610 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.610 * [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))))))) 1544087853.610 * * * * [misc]progress: [ 190 / 293 ] simplifiying candidate # 1544087853.610 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.610 * * [misc]simplify: iters left: 6 (12 enodes) 1544087853.612 * * [misc]simplify: iters left: 5 (15 enodes) 1544087853.614 * * [misc]simplify: iters left: 4 (18 enodes) 1544087853.617 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.617 * [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))))))) 1544087853.617 * * * * [misc]progress: [ 191 / 293 ] simplifiying candidate # 1544087853.617 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.617 * * [misc]simplify: iters left: 6 (11 enodes) 1544087853.621 * * [misc]simplify: iters left: 5 (14 enodes) 1544087853.624 * * [misc]simplify: iters left: 4 (17 enodes) 1544087853.629 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.629 * [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)))))) 1544087853.629 * * * * [misc]progress: [ 192 / 293 ] simplifiying candidate # 1544087853.629 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087853.630 * * [misc]simplify: iters left: 6 (9 enodes) 1544087853.632 * * [misc]simplify: iters left: 5 (12 enodes) 1544087853.637 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087853.637 * [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))))) 1544087853.637 * * * * [misc]progress: [ 193 / 293 ] simplifiying candidate # 1544087853.637 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087853.637 * * [misc]simplify: iters left: 6 (9 enodes) 1544087853.640 * * [misc]simplify: iters left: 5 (12 enodes) 1544087853.643 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087853.643 * [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))))) 1544087853.643 * * * * [misc]progress: [ 194 / 293 ] simplifiying candidate # 1544087853.643 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087853.644 * * [misc]simplify: iters left: 6 (8 enodes) 1544087853.645 * * [misc]simplify: iters left: 5 (10 enodes) 1544087853.646 * * [misc]simplify: iters left: 4 (13 enodes) 1544087853.648 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087853.648 * [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)))))) 1544087853.648 * * * * [misc]progress: [ 195 / 293 ] simplifiying candidate # 1544087853.648 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.648 * * [misc]simplify: iters left: 6 (11 enodes) 1544087853.650 * * [misc]simplify: iters left: 5 (14 enodes) 1544087853.652 * * [misc]simplify: iters left: 4 (17 enodes) 1544087853.654 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.654 * [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))))))) 1544087853.654 * * * * [misc]progress: [ 196 / 293 ] simplifiying candidate # 1544087853.654 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.654 * * [misc]simplify: iters left: 6 (11 enodes) 1544087853.656 * * [misc]simplify: iters left: 5 (14 enodes) 1544087853.658 * * [misc]simplify: iters left: 4 (17 enodes) 1544087853.660 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087853.660 * [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))))))) 1544087853.660 * * * * [misc]progress: [ 197 / 293 ] simplifiying candidate # 1544087853.660 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.660 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.662 * * [misc]simplify: iters left: 5 (13 enodes) 1544087853.664 * * [misc]simplify: iters left: 4 (16 enodes) 1544087853.666 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.666 * [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)))))) 1544087853.666 * * * * [misc]progress: [ 198 / 293 ] simplifiying candidate # 1544087853.666 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.666 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.668 * * [misc]simplify: iters left: 5 (13 enodes) 1544087853.670 * * [misc]simplify: iters left: 4 (16 enodes) 1544087853.672 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.672 * [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)))))) 1544087853.672 * * * * [misc]progress: [ 199 / 293 ] simplifiying candidate # 1544087853.673 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1544087853.673 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.676 * * [misc]simplify: iters left: 5 (15 enodes) 1544087853.680 * * [misc]simplify: iters left: 4 (18 enodes) 1544087853.685 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1544087853.685 * [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)))))) 1544087853.685 * * * * [misc]progress: [ 200 / 293 ] simplifiying candidate # 1544087853.685 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087853.685 * * [misc]simplify: iters left: 3 (6 enodes) 1544087853.687 * * [misc]simplify: iters left: 2 (7 enodes) 1544087853.688 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087853.688 * [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)))) 1544087853.688 * * * * [misc]progress: [ 201 / 293 ] simplifiying candidate # 1544087853.688 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544087853.688 * * [misc]simplify: iters left: 4 (5 enodes) 1544087853.689 * * [misc]simplify: iters left: 3 (9 enodes) 1544087853.690 * * [misc]simplify: iters left: 2 (11 enodes) 1544087853.692 * * [misc]simplify: iters left: 1 (13 enodes) 1544087853.693 * [exit]simplify: Simplified to (sqrt PI) 1544087853.693 * [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))))))) 1544087853.693 * * * * [misc]progress: [ 202 / 293 ] simplifiying candidate # 1544087853.694 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544087853.694 * * [misc]simplify: iters left: 4 (5 enodes) 1544087853.695 * * [misc]simplify: iters left: 3 (9 enodes) 1544087853.696 * * [misc]simplify: iters left: 2 (11 enodes) 1544087853.697 * * [misc]simplify: iters left: 1 (13 enodes) 1544087853.699 * [exit]simplify: Simplified to (sqrt PI) 1544087853.699 * [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))))))) 1544087853.699 * * * * [misc]progress: [ 203 / 293 ] simplifiying candidate # 1544087853.699 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544087853.699 * * [misc]simplify: iters left: 4 (5 enodes) 1544087853.700 * * [misc]simplify: iters left: 3 (8 enodes) 1544087853.701 * * [misc]simplify: iters left: 2 (9 enodes) 1544087853.703 * * [misc]simplify: iters left: 1 (12 enodes) 1544087853.704 * [exit]simplify: Simplified to (sqrt PI) 1544087853.704 * [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)))))) 1544087853.704 * * * * [misc]progress: [ 204 / 293 ] simplifiying candidate # 1544087853.705 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544087853.705 * * [misc]simplify: iters left: 4 (5 enodes) 1544087853.706 * * [misc]simplify: iters left: 3 (8 enodes) 1544087853.707 * * [misc]simplify: iters left: 2 (9 enodes) 1544087853.708 * * [misc]simplify: iters left: 1 (12 enodes) 1544087853.710 * [exit]simplify: Simplified to (sqrt PI) 1544087853.710 * [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)))))) 1544087853.710 * * * * [misc]progress: [ 205 / 293 ] simplifiying candidate # 1544087853.710 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1544087853.710 * * [misc]simplify: iters left: 6 (11 enodes) 1544087853.712 * * [misc]simplify: iters left: 5 (17 enodes) 1544087853.715 * * [misc]simplify: iters left: 4 (26 enodes) 1544087853.722 * * [misc]simplify: iters left: 3 (42 enodes) 1544087853.734 * * [misc]simplify: iters left: 2 (81 enodes) 1544087853.757 * * [misc]simplify: iters left: 1 (119 enodes) 1544087853.781 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087853.781 * [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)))))))) 1544087853.781 * * * * [misc]progress: [ 206 / 293 ] simplifiying candidate # 1544087853.782 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1544087853.782 * * [misc]simplify: iters left: 6 (10 enodes) 1544087853.783 * * [misc]simplify: iters left: 5 (16 enodes) 1544087853.785 * * [misc]simplify: iters left: 4 (25 enodes) 1544087853.789 * * [misc]simplify: iters left: 3 (41 enodes) 1544087853.795 * * [misc]simplify: iters left: 2 (80 enodes) 1544087853.807 * * [misc]simplify: iters left: 1 (118 enodes) 1544087853.833 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087853.833 * [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)))))))) 1544087853.833 * * * * [misc]progress: [ 207 / 293 ] simplifiying candidate # 1544087853.833 * * * * [misc]progress: [ 208 / 293 ] simplifiying candidate # 1544087853.834 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544087853.834 * * [misc]simplify: iters left: 5 (8 enodes) 1544087853.836 * * [misc]simplify: iters left: 4 (11 enodes) 1544087853.839 * * [misc]simplify: iters left: 3 (14 enodes) 1544087853.843 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544087853.843 * [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))))) 1544087853.843 * * * * [misc]progress: [ 209 / 293 ] simplifiying candidate # 1544087853.843 * * * * [misc]progress: [ 210 / 293 ] simplifiying candidate # 1544087853.844 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544087853.844 * * [misc]simplify: iters left: 6 (12 enodes) 1544087853.848 * * [misc]simplify: iters left: 5 (21 enodes) 1544087853.855 * * [misc]simplify: iters left: 4 (44 enodes) 1544087853.875 * * [misc]simplify: iters left: 3 (125 enodes) 1544087853.904 * * [misc]simplify: iters left: 2 (343 enodes) 1544087854.018 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1544087854.018 * [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))))))) 1544087854.018 * * * * [misc]progress: [ 211 / 293 ] simplifiying candidate # 1544087854.018 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544087854.018 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.022 * * [misc]simplify: iters left: 5 (21 enodes) 1544087854.029 * * [misc]simplify: iters left: 4 (44 enodes) 1544087854.046 * * [misc]simplify: iters left: 3 (125 enodes) 1544087854.107 * * [misc]simplify: iters left: 2 (343 enodes) 1544087854.243 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1544087854.243 * [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))))))) 1544087854.243 * * * * [misc]progress: [ 212 / 293 ] simplifiying candidate # 1544087854.244 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.244 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.245 * * [misc]simplify: iters left: 5 (19 enodes) 1544087854.248 * * [misc]simplify: iters left: 4 (32 enodes) 1544087854.254 * * [misc]simplify: iters left: 3 (67 enodes) 1544087854.269 * * [misc]simplify: iters left: 2 (194 enodes) 1544087854.382 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544087854.382 * [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))))))) 1544087854.382 * * * * [misc]progress: [ 213 / 293 ] simplifiying candidate # 1544087854.382 * * * * [misc]progress: [ 214 / 293 ] simplifiying candidate # 1544087854.382 * * * * [misc]progress: [ 215 / 293 ] simplifiying candidate # 1544087854.383 * [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))))) 1544087854.383 * * [misc]simplify: iters left: 6 (14 enodes) 1544087854.387 * * [misc]simplify: iters left: 5 (26 enodes) 1544087854.395 * * [misc]simplify: iters left: 4 (58 enodes) 1544087854.419 * * [misc]simplify: iters left: 3 (117 enodes) 1544087854.455 * * [misc]simplify: iters left: 2 (193 enodes) 1544087854.534 * * [misc]simplify: iters left: 1 (263 enodes) 1544087854.665 * [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))))) 1544087854.665 * [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)))))))) 1544087854.665 * * * * [misc]progress: [ 216 / 293 ] simplifiying candidate # 1544087854.665 * * * * [misc]progress: [ 217 / 293 ] simplifiying candidate # 1544087854.665 * * * * [misc]progress: [ 218 / 293 ] simplifiying candidate # 1544087854.665 * * * * [misc]progress: [ 219 / 293 ] simplifiying candidate # 1544087854.665 * * * * [misc]progress: [ 220 / 293 ] simplifiying candidate # 1544087854.665 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544087854.665 * * [misc]simplify: iters left: 6 (10 enodes) 1544087854.667 * * [misc]simplify: iters left: 5 (14 enodes) 1544087854.669 * * [misc]simplify: iters left: 4 (16 enodes) 1544087854.671 * * [misc]simplify: iters left: 3 (17 enodes) 1544087854.673 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544087854.673 * [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))))))) 1544087854.673 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087854.673 * * [misc]simplify: iters left: 6 (10 enodes) 1544087854.675 * * [misc]simplify: iters left: 5 (13 enodes) 1544087854.676 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087854.676 * [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)))))) 1544087854.676 * * * * [misc]progress: [ 221 / 293 ] simplifiying candidate # 1544087854.677 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544087854.677 * * [misc]simplify: iters left: 6 (10 enodes) 1544087854.678 * * [misc]simplify: iters left: 5 (14 enodes) 1544087854.680 * * [misc]simplify: iters left: 4 (16 enodes) 1544087854.682 * * [misc]simplify: iters left: 3 (17 enodes) 1544087854.684 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544087854.684 * [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))))))) 1544087854.684 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087854.684 * * [misc]simplify: iters left: 6 (10 enodes) 1544087854.686 * * [misc]simplify: iters left: 5 (13 enodes) 1544087854.687 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087854.687 * [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)))))) 1544087854.687 * * * * [misc]progress: [ 222 / 293 ] simplifiying candidate # 1544087854.688 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087854.688 * * [misc]simplify: iters left: 6 (11 enodes) 1544087854.690 * * [misc]simplify: iters left: 5 (15 enodes) 1544087854.692 * * [misc]simplify: iters left: 4 (20 enodes) 1544087854.694 * * [misc]simplify: iters left: 3 (21 enodes) 1544087854.697 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544087854.697 * [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))))))) 1544087854.697 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087854.697 * * [misc]simplify: iters left: 6 (9 enodes) 1544087854.698 * * [misc]simplify: iters left: 5 (11 enodes) 1544087854.700 * * [misc]simplify: iters left: 4 (14 enodes) 1544087854.702 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087854.702 * [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))))))) 1544087854.702 * * * * [misc]progress: [ 223 / 293 ] simplifiying candidate # 1544087854.702 * [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)))))) 1544087854.702 * * [misc]simplify: iters left: 6 (14 enodes) 1544087854.704 * * [misc]simplify: iters left: 5 (23 enodes) 1544087854.708 * * [misc]simplify: iters left: 4 (35 enodes) 1544087854.717 * * [misc]simplify: iters left: 3 (38 enodes) 1544087854.728 * * [misc]simplify: iters left: 2 (41 enodes) 1544087854.735 * [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)))))) 1544087854.735 * [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)))))))) 1544087854.735 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.735 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.737 * * [misc]simplify: iters left: 5 (15 enodes) 1544087854.739 * * [misc]simplify: iters left: 4 (18 enodes) 1544087854.743 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.743 * [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)))))))) 1544087854.744 * * * * [misc]progress: [ 224 / 293 ] simplifiying candidate # 1544087854.744 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.744 * * [misc]simplify: iters left: 6 (13 enodes) 1544087854.747 * * [misc]simplify: iters left: 5 (18 enodes) 1544087854.752 * * [misc]simplify: iters left: 4 (23 enodes) 1544087854.757 * * [misc]simplify: iters left: 3 (24 enodes) 1544087854.763 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.763 * [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)))))))) 1544087854.763 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.764 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.767 * * [misc]simplify: iters left: 5 (15 enodes) 1544087854.770 * * [misc]simplify: iters left: 4 (18 enodes) 1544087854.774 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.775 * [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)))))))) 1544087854.775 * * * * [misc]progress: [ 225 / 293 ] simplifiying candidate # 1544087854.775 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1544087854.775 * * [misc]simplify: iters left: 6 (6 enodes) 1544087854.777 * * [misc]simplify: iters left: 5 (10 enodes) 1544087854.780 * * [misc]simplify: iters left: 4 (16 enodes) 1544087854.783 * * [misc]simplify: iters left: 3 (18 enodes) 1544087854.786 * * [misc]simplify: iters left: 2 (23 enodes) 1544087854.791 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544087854.791 * [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))))))) 1544087854.792 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087854.792 * * [misc]simplify: iters left: 6 (11 enodes) 1544087854.794 * * [misc]simplify: iters left: 5 (14 enodes) 1544087854.798 * * [misc]simplify: iters left: 4 (17 enodes) 1544087854.802 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087854.802 * [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))))))) 1544087854.802 * * * * [misc]progress: [ 226 / 293 ] simplifiying candidate # 1544087854.803 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544087854.803 * * [misc]simplify: iters left: 5 (9 enodes) 1544087854.805 * * [misc]simplify: iters left: 4 (11 enodes) 1544087854.807 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087854.808 * [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))))))) 1544087854.808 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087854.808 * * [misc]simplify: iters left: 6 (10 enodes) 1544087854.810 * * [misc]simplify: iters left: 5 (13 enodes) 1544087854.814 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087854.814 * [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)))))) 1544087854.814 * * * * [misc]progress: [ 227 / 293 ] simplifiying candidate # 1544087854.814 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544087854.814 * * [misc]simplify: iters left: 5 (9 enodes) 1544087854.816 * * [misc]simplify: iters left: 4 (11 enodes) 1544087854.819 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087854.819 * [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))))))) 1544087854.819 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087854.819 * * [misc]simplify: iters left: 6 (10 enodes) 1544087854.822 * * [misc]simplify: iters left: 5 (13 enodes) 1544087854.825 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087854.825 * [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)))))) 1544087854.825 * * * * [misc]progress: [ 228 / 293 ] simplifiying candidate # 1544087854.825 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544087854.826 * * [misc]simplify: iters left: 6 (10 enodes) 1544087854.828 * * [misc]simplify: iters left: 5 (12 enodes) 1544087854.831 * * [misc]simplify: iters left: 4 (15 enodes) 1544087854.835 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544087854.835 * [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))))))) 1544087854.835 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087854.835 * * [misc]simplify: iters left: 6 (9 enodes) 1544087854.837 * * [misc]simplify: iters left: 5 (11 enodes) 1544087854.840 * * [misc]simplify: iters left: 4 (14 enodes) 1544087854.844 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544087854.844 * [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))))))) 1544087854.844 * * * * [misc]progress: [ 229 / 293 ] simplifiying candidate # 1544087854.844 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087854.844 * * [misc]simplify: iters left: 6 (13 enodes) 1544087854.848 * * [misc]simplify: iters left: 5 (18 enodes) 1544087854.854 * * [misc]simplify: iters left: 4 (21 enodes) 1544087854.859 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087854.859 * [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)))))))) 1544087854.859 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.860 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.863 * * [misc]simplify: iters left: 5 (15 enodes) 1544087854.866 * * [misc]simplify: iters left: 4 (18 enodes) 1544087854.871 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.871 * [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)))))))) 1544087854.871 * * * * [misc]progress: [ 230 / 293 ] simplifiying candidate # 1544087854.871 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.872 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.875 * * [misc]simplify: iters left: 5 (15 enodes) 1544087854.879 * * [misc]simplify: iters left: 4 (18 enodes) 1544087854.884 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.885 * [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)))))))) 1544087854.885 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.885 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.888 * * [misc]simplify: iters left: 5 (15 enodes) 1544087854.893 * * [misc]simplify: iters left: 4 (18 enodes) 1544087854.897 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.897 * [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)))))))) 1544087854.897 * * * * [misc]progress: [ 231 / 293 ] simplifiying candidate # 1544087854.897 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1544087854.897 * * [misc]simplify: iters left: 4 (5 enodes) 1544087854.899 * * [misc]simplify: iters left: 3 (7 enodes) 1544087854.901 * * [misc]simplify: iters left: 2 (9 enodes) 1544087854.902 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544087854.902 * [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))))))) 1544087854.903 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087854.903 * * [misc]simplify: iters left: 6 (11 enodes) 1544087854.906 * * [misc]simplify: iters left: 5 (14 enodes) 1544087854.909 * * [misc]simplify: iters left: 4 (17 enodes) 1544087854.913 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087854.913 * [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))))))) 1544087854.913 * * * * [misc]progress: [ 232 / 293 ] simplifiying candidate # 1544087854.914 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544087854.914 * * [misc]simplify: iters left: 5 (7 enodes) 1544087854.916 * * [misc]simplify: iters left: 4 (11 enodes) 1544087854.918 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544087854.918 * [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))))))) 1544087854.918 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087854.918 * * [misc]simplify: iters left: 6 (9 enodes) 1544087854.921 * * [misc]simplify: iters left: 5 (12 enodes) 1544087854.923 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087854.924 * [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)))))) 1544087854.924 * * * * [misc]progress: [ 233 / 293 ] simplifiying candidate # 1544087854.924 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544087854.924 * * [misc]simplify: iters left: 5 (7 enodes) 1544087854.926 * * [misc]simplify: iters left: 4 (11 enodes) 1544087854.928 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544087854.928 * [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))))))) 1544087854.928 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087854.929 * * [misc]simplify: iters left: 6 (9 enodes) 1544087854.931 * * [misc]simplify: iters left: 5 (12 enodes) 1544087854.934 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544087854.934 * [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)))))) 1544087854.934 * * * * [misc]progress: [ 234 / 293 ] simplifiying candidate # 1544087854.934 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1544087854.934 * * [misc]simplify: iters left: 6 (9 enodes) 1544087854.936 * * [misc]simplify: iters left: 5 (13 enodes) 1544087854.940 * * [misc]simplify: iters left: 4 (16 enodes) 1544087854.943 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1544087854.943 * [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))))))) 1544087854.943 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087854.944 * * [misc]simplify: iters left: 6 (8 enodes) 1544087854.946 * * [misc]simplify: iters left: 5 (10 enodes) 1544087854.949 * * [misc]simplify: iters left: 4 (13 enodes) 1544087854.952 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544087854.952 * [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))))))) 1544087854.952 * * * * [misc]progress: [ 235 / 293 ] simplifiying candidate # 1544087854.952 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087854.953 * * [misc]simplify: iters left: 6 (12 enodes) 1544087854.956 * * [misc]simplify: iters left: 5 (19 enodes) 1544087854.961 * * [misc]simplify: iters left: 4 (22 enodes) 1544087854.966 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087854.966 * [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)))))))) 1544087854.966 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.966 * * [misc]simplify: iters left: 6 (11 enodes) 1544087854.969 * * [misc]simplify: iters left: 5 (14 enodes) 1544087854.973 * * [misc]simplify: iters left: 4 (17 enodes) 1544087854.977 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.977 * [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)))))))) 1544087854.977 * * * * [misc]progress: [ 236 / 293 ] simplifiying candidate # 1544087854.977 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.978 * * [misc]simplify: iters left: 6 (11 enodes) 1544087854.981 * * [misc]simplify: iters left: 5 (16 enodes) 1544087854.984 * * [misc]simplify: iters left: 4 (19 enodes) 1544087854.989 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544087854.989 * [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)))))))) 1544087854.990 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087854.990 * * [misc]simplify: iters left: 6 (11 enodes) 1544087854.994 * * [misc]simplify: iters left: 5 (14 enodes) 1544087854.997 * * [misc]simplify: iters left: 4 (17 enodes) 1544087855.002 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544087855.002 * [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)))))))) 1544087855.002 * * * * [misc]progress: [ 237 / 293 ] simplifiying candidate # 1544087855.002 * [enter]simplify: Simplifying (/ 1 1) 1544087855.002 * * [misc]simplify: iters left: 2 (2 enodes) 1544087855.003 * * [misc]simplify: iters left: 1 (4 enodes) 1544087855.004 * [exit]simplify: Simplified to 1 1544087855.004 * [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))))))) 1544087855.004 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087855.004 * * [misc]simplify: iters left: 6 (10 enodes) 1544087855.007 * * [misc]simplify: iters left: 5 (13 enodes) 1544087855.010 * * [misc]simplify: iters left: 4 (16 enodes) 1544087855.014 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544087855.014 * [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))))))) 1544087855.014 * * * * [misc]progress: [ 238 / 293 ] simplifiying candidate # 1544087855.015 * * * * [misc]progress: [ 239 / 293 ] simplifiying candidate # 1544087855.015 * * * * [misc]progress: [ 240 / 293 ] simplifiying candidate # 1544087855.015 * * * * [misc]progress: [ 241 / 293 ] simplifiying candidate # 1544087855.015 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087855.015 * * [misc]simplify: iters left: 5 (7 enodes) 1544087855.017 * * [misc]simplify: iters left: 4 (10 enodes) 1544087855.019 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087855.019 * [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)))))) 1544087855.020 * * * * [misc]progress: [ 242 / 293 ] simplifiying candidate # 1544087855.020 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087855.020 * * [misc]simplify: iters left: 5 (7 enodes) 1544087855.022 * * [misc]simplify: iters left: 4 (10 enodes) 1544087855.024 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087855.024 * [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)))))) 1544087855.024 * * * * [misc]progress: [ 243 / 293 ] simplifiying candidate # 1544087855.025 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1544087855.025 * * [misc]simplify: iters left: 5 (6 enodes) 1544087855.026 * * [misc]simplify: iters left: 4 (8 enodes) 1544087855.029 * * [misc]simplify: iters left: 3 (11 enodes) 1544087855.031 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1544087855.031 * [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)))))) 1544087855.031 * * * * [misc]progress: [ 244 / 293 ] simplifiying candidate # 1544087855.032 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087855.032 * * [misc]simplify: iters left: 6 (9 enodes) 1544087855.034 * * [misc]simplify: iters left: 5 (12 enodes) 1544087855.037 * * [misc]simplify: iters left: 4 (15 enodes) 1544087855.040 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087855.040 * [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))))))) 1544087855.040 * * * * [misc]progress: [ 245 / 293 ] simplifiying candidate # 1544087855.041 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087855.041 * * [misc]simplify: iters left: 6 (9 enodes) 1544087855.043 * * [misc]simplify: iters left: 5 (12 enodes) 1544087855.046 * * [misc]simplify: iters left: 4 (15 enodes) 1544087855.050 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544087855.050 * [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))))))) 1544087855.050 * * * * [misc]progress: [ 246 / 293 ] simplifiying candidate # 1544087855.050 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544087855.051 * * [misc]simplify: iters left: 5 (8 enodes) 1544087855.053 * * [misc]simplify: iters left: 4 (11 enodes) 1544087855.056 * * [misc]simplify: iters left: 3 (14 enodes) 1544087855.060 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544087855.060 * [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)))))) 1544087855.060 * * * * [misc]progress: [ 247 / 293 ] simplifiying candidate # 1544087855.061 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544087855.061 * * [misc]simplify: iters left: 4 (4 enodes) 1544087855.062 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544087855.062 * [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)))))) 1544087855.062 * * * * [misc]progress: [ 248 / 293 ] simplifiying candidate # 1544087855.062 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544087855.062 * * [misc]simplify: iters left: 2 (3 enodes) 1544087855.063 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544087855.063 * [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)))))) 1544087855.063 * * * * [misc]progress: [ 249 / 293 ] simplifiying candidate # 1544087855.063 * * * * [misc]progress: [ 250 / 293 ] simplifiying candidate # 1544087855.063 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087855.063 * * [misc]simplify: iters left: 3 (6 enodes) 1544087855.065 * * [misc]simplify: iters left: 2 (7 enodes) 1544087855.067 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087855.067 * [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))))) 1544087855.067 * * * * [misc]progress: [ 251 / 293 ] simplifiying candidate # 1544087855.067 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544087855.068 * * [misc]simplify: iters left: 6 (9 enodes) 1544087855.071 * * [misc]simplify: iters left: 5 (16 enodes) 1544087855.076 * * [misc]simplify: iters left: 4 (32 enodes) 1544087855.087 * * [misc]simplify: iters left: 3 (68 enodes) 1544087855.116 * * [misc]simplify: iters left: 2 (171 enodes) 1544087855.172 * * [misc]simplify: iters left: 1 (342 enodes) 1544087855.300 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544087855.300 * [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))))))) 1544087855.300 * * * * [misc]progress: [ 252 / 293 ] simplifiying candidate # 1544087855.300 * * * * [misc]progress: [ 253 / 293 ] simplifiying candidate # 1544087855.301 * [enter]simplify: Simplifying (* n 2) 1544087855.301 * * [misc]simplify: iters left: 2 (3 enodes) 1544087855.302 * * [misc]simplify: iters left: 1 (4 enodes) 1544087855.303 * [exit]simplify: Simplified to (* n 2) 1544087855.303 * [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))))))) 1544087855.303 * * * * [misc]progress: [ 254 / 293 ] simplifiying candidate # 1544087855.303 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087855.303 * * [misc]simplify: iters left: 3 (6 enodes) 1544087855.305 * * [misc]simplify: iters left: 2 (7 enodes) 1544087855.307 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087855.307 * [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)))))) 1544087855.307 * * * * [misc]progress: [ 255 / 293 ] simplifiying candidate # 1544087855.307 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544087855.307 * * [misc]simplify: iters left: 5 (6 enodes) 1544087855.309 * * [misc]simplify: iters left: 4 (8 enodes) 1544087855.311 * * [misc]simplify: iters left: 3 (11 enodes) 1544087855.317 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544087855.317 * [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))))))) 1544087855.317 * * * * [misc]progress: [ 256 / 293 ] simplifiying candidate # 1544087855.317 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544087855.317 * * [misc]simplify: iters left: 5 (6 enodes) 1544087855.319 * * [misc]simplify: iters left: 4 (8 enodes) 1544087855.321 * * [misc]simplify: iters left: 3 (11 enodes) 1544087855.324 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544087855.324 * [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))))))) 1544087855.324 * * * * [misc]progress: [ 257 / 293 ] simplifiying candidate # 1544087855.325 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544087855.325 * * [misc]simplify: iters left: 4 (5 enodes) 1544087855.326 * * [misc]simplify: iters left: 3 (7 enodes) 1544087855.328 * * [misc]simplify: iters left: 2 (10 enodes) 1544087855.331 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544087855.331 * [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)))))) 1544087855.331 * * * * [misc]progress: [ 258 / 293 ] simplifiying candidate # 1544087855.331 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087855.331 * * [misc]simplify: iters left: 5 (7 enodes) 1544087855.332 * * [misc]simplify: iters left: 4 (10 enodes) 1544087855.334 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087855.334 * [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))))))) 1544087855.334 * * * * [misc]progress: [ 259 / 293 ] simplifiying candidate # 1544087855.334 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087855.334 * * [misc]simplify: iters left: 5 (7 enodes) 1544087855.335 * * [misc]simplify: iters left: 4 (10 enodes) 1544087855.336 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087855.336 * [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))))))) 1544087855.336 * * * * [misc]progress: [ 260 / 293 ] simplifiying candidate # 1544087855.336 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544087855.336 * * [misc]simplify: iters left: 5 (7 enodes) 1544087855.337 * * [misc]simplify: iters left: 4 (9 enodes) 1544087855.339 * * [misc]simplify: iters left: 3 (12 enodes) 1544087855.340 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544087855.340 * [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))))))) 1544087855.340 * * * * [misc]progress: [ 261 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 262 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 263 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 264 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 265 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 266 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 267 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 268 / 293 ] simplifiying candidate # 1544087855.340 * * * * [misc]progress: [ 269 / 293 ] simplifiying candidate # 1544087855.341 * * * * [misc]progress: [ 270 / 293 ] simplifiying candidate # 1544087855.341 * [enter]simplify: Simplifying (exp (log PI)) 1544087855.341 * * [misc]simplify: iters left: 2 (3 enodes) 1544087855.341 * [exit]simplify: Simplified to PI 1544087855.341 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087855.341 * * * * [misc]progress: [ 271 / 293 ] simplifiying candidate # 1544087855.341 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544087855.341 * * [misc]simplify: iters left: 4 (5 enodes) 1544087855.342 * * [misc]simplify: iters left: 3 (9 enodes) 1544087855.343 * * [misc]simplify: iters left: 2 (11 enodes) 1544087855.345 * * [misc]simplify: iters left: 1 (13 enodes) 1544087855.346 * [exit]simplify: Simplified to (sqrt PI) 1544087855.346 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (log PI) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087855.346 * * * * [misc]progress: [ 272 / 293 ] simplifiying candidate # 1544087855.346 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544087855.346 * * [misc]simplify: iters left: 4 (5 enodes) 1544087855.347 * * [misc]simplify: iters left: 3 (9 enodes) 1544087855.348 * * [misc]simplify: iters left: 2 (11 enodes) 1544087855.350 * * [misc]simplify: iters left: 1 (13 enodes) 1544087855.351 * [exit]simplify: Simplified to (sqrt PI) 1544087855.351 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (log PI) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087855.351 * * * * [misc]progress: [ 273 / 293 ] simplifiying candidate # 1544087855.351 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544087855.352 * * [misc]simplify: iters left: 4 (5 enodes) 1544087855.352 * * [misc]simplify: iters left: 3 (8 enodes) 1544087855.354 * * [misc]simplify: iters left: 2 (9 enodes) 1544087855.355 * * [misc]simplify: iters left: 1 (12 enodes) 1544087855.357 * [exit]simplify: Simplified to (sqrt PI) 1544087855.357 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087855.357 * * * * [misc]progress: [ 274 / 293 ] simplifiying candidate # 1544087855.357 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544087855.357 * * [misc]simplify: iters left: 4 (5 enodes) 1544087855.358 * * [misc]simplify: iters left: 3 (8 enodes) 1544087855.359 * * [misc]simplify: iters left: 2 (9 enodes) 1544087855.361 * * [misc]simplify: iters left: 1 (12 enodes) 1544087855.362 * [exit]simplify: Simplified to (sqrt PI) 1544087855.363 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087855.363 * * * * [misc]progress: [ 275 / 293 ] simplifiying candidate # 1544087855.363 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1544087855.363 * * [misc]simplify: iters left: 6 (8 enodes) 1544087855.364 * * [misc]simplify: iters left: 5 (11 enodes) 1544087855.365 * * [misc]simplify: iters left: 4 (20 enodes) 1544087855.370 * * [misc]simplify: iters left: 3 (30 enodes) 1544087855.378 * * [misc]simplify: iters left: 2 (45 enodes) 1544087855.390 * * [misc]simplify: iters left: 1 (53 enodes) 1544087855.403 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1544087855.403 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544087855.403 * * * * [misc]progress: [ 276 / 293 ] simplifiying candidate # 1544087855.403 * * * * [misc]progress: [ 277 / 293 ] simplifiying candidate # 1544087855.403 * * * * [misc]progress: [ 278 / 293 ] simplifiying candidate # 1544087855.403 * * * * [misc]progress: [ 279 / 293 ] simplifiying candidate # 1544087855.403 * * * * [misc]progress: [ 280 / 293 ] simplifiying candidate # 1544087855.403 * * * * [misc]progress: [ 281 / 293 ] simplifiying candidate # 1544087855.403 * * * * [misc]progress: [ 282 / 293 ] simplifiying candidate # 1544087855.404 * [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))))))))))))))) 1544087855.404 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087855.404 * * * * [misc]progress: [ 283 / 293 ] simplifiying candidate # 1544087855.404 * [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)))))))) 1544087855.404 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087855.404 * * * * [misc]progress: [ 284 / 293 ] simplifiying candidate # 1544087855.404 * [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)))))))) 1544087855.404 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087855.404 * * * * [misc]progress: [ 285 / 293 ] simplifiying candidate # 1544087855.405 * [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)))))))))))) 1544087855.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544087855.405 * * * * [misc]progress: [ 286 / 293 ] simplifiying candidate # 1544087855.405 * [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))))))))))) 1544087855.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544087855.405 * * * * [misc]progress: [ 287 / 293 ] simplifiying candidate # 1544087855.405 * [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))))))))) 1544087855.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544087855.405 * * * * [misc]progress: [ 288 / 293 ] simplifiying candidate # 1544087855.406 * [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))))) 1544087855.406 * * [misc]simplify: iters left: 6 (35 enodes) 1544087855.420 * * [misc]simplify: iters left: 5 (99 enodes) 1544087855.462 * * [misc]simplify: iters left: 4 (298 enodes) 1544087855.630 * [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))))))) 1544087855.630 * [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)))))))))) 1544087855.630 * * * * [misc]progress: [ 289 / 293 ] simplifiying candidate # 1544087855.630 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544087855.630 * * [misc]simplify: iters left: 6 (13 enodes) 1544087855.636 * * [misc]simplify: iters left: 5 (27 enodes) 1544087855.644 * * [misc]simplify: iters left: 4 (53 enodes) 1544087855.653 * * [misc]simplify: iters left: 3 (116 enodes) 1544087855.701 * * [misc]simplify: iters left: 2 (362 enodes) 1544087855.926 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1544087855.926 * [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))))) 1544087855.926 * * * * [misc]progress: [ 290 / 293 ] simplifiying candidate # 1544087855.926 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544087855.927 * * [misc]simplify: iters left: 6 (13 enodes) 1544087855.929 * * [misc]simplify: iters left: 5 (24 enodes) 1544087855.934 * * [misc]simplify: iters left: 4 (54 enodes) 1544087855.945 * * [misc]simplify: iters left: 3 (143 enodes) 1544087856.009 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1544087856.010 * [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))))))) 1544087856.010 * * * * [misc]progress: [ 291 / 293 ] simplifiying candidate # 1544087856.010 * [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)))) 1544087856.010 * * [misc]simplify: iters left: 6 (18 enodes) 1544087856.016 * * [misc]simplify: iters left: 5 (39 enodes) 1544087856.030 * * [misc]simplify: iters left: 4 (104 enodes) 1544087856.072 * * [misc]simplify: iters left: 3 (275 enodes) 1544087856.174 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1544087856.175 * [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)))))) 1544087856.175 * * * * [misc]progress: [ 292 / 293 ] simplifiying candidate # 1544087856.175 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544087856.175 * * [misc]simplify: iters left: 5 (6 enodes) 1544087856.176 * * [misc]simplify: iters left: 4 (9 enodes) 1544087856.178 * * [misc]simplify: iters left: 3 (17 enodes) 1544087856.182 * * [misc]simplify: iters left: 2 (20 enodes) 1544087856.184 * * [misc]simplify: iters left: 1 (24 enodes) 1544087856.188 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544087856.189 * [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)))))) 1544087856.189 * * * * [misc]progress: [ 293 / 293 ] simplifiying candidate # 1544087856.189 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544087856.189 * * [misc]simplify: iters left: 5 (6 enodes) 1544087856.190 * * [misc]simplify: iters left: 4 (9 enodes) 1544087856.191 * * [misc]simplify: iters left: 3 (17 enodes) 1544087856.196 * * [misc]simplify: iters left: 2 (20 enodes) 1544087856.200 * * [misc]simplify: iters left: 1 (24 enodes) 1544087856.209 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544087856.209 * [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)))))) 1544087856.209 * * * [misc]progress: adding candidates to table 1544087860.679 * * [misc]progress: iteration 4 / 4 1544087860.679 * * * [misc]progress: picking best candidate 1544087860.725 * * * * [misc]pick: Picked # 1544087860.725 * * * [misc]progress: localizing error 1544087860.786 * * * [misc]progress: generating rewritten candidates 1544087860.786 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1544087860.797 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1544087860.823 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544087860.880 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) 1544087860.881 * * * [misc]progress: generating series expansions 1544087860.881 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1544087860.882 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt k)) (sqrt (* n 2))) into (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) 1544087860.882 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in (k n) around 0 1544087860.882 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in n 1544087860.882 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544087860.882 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087860.882 * [misc]taylor: Taking taylor expansion of 2 in n 1544087860.882 * [misc]backup-simplify: Simplify 2 into 2 1544087860.882 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.883 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.883 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in n 1544087860.883 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087860.883 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087860.883 * [misc]taylor: Taking taylor expansion of n in n 1544087860.883 * [misc]backup-simplify: Simplify 0 into 0 1544087860.883 * [misc]backup-simplify: Simplify 1 into 1 1544087860.883 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087860.883 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.884 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087860.884 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1544087860.884 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1544087860.884 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1544087860.884 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544087860.884 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.884 * [misc]taylor: Taking taylor expansion of (log k) in n 1544087860.884 * [misc]taylor: Taking taylor expansion of k in n 1544087860.884 * [misc]backup-simplify: Simplify k into k 1544087860.884 * [misc]backup-simplify: Simplify (log k) into (log k) 1544087860.884 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544087860.884 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544087860.884 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in k 1544087860.884 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544087860.884 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087860.884 * [misc]taylor: Taking taylor expansion of 2 in k 1544087860.884 * [misc]backup-simplify: Simplify 2 into 2 1544087860.885 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.885 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.885 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.885 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in k 1544087860.885 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in k 1544087860.885 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544087860.885 * [misc]taylor: Taking taylor expansion of n in k 1544087860.885 * [misc]backup-simplify: Simplify n into n 1544087860.885 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544087860.885 * [misc]backup-simplify: Simplify (sqrt (/ 1 n)) into (sqrt (/ 1 n)) 1544087860.886 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1544087860.886 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 n)))) into 0 1544087860.886 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544087860.886 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544087860.886 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544087860.886 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087860.886 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.886 * [misc]taylor: Taking taylor expansion of (log k) in k 1544087860.886 * [misc]taylor: Taking taylor expansion of k in k 1544087860.886 * [misc]backup-simplify: Simplify 0 into 0 1544087860.886 * [misc]backup-simplify: Simplify 1 into 1 1544087860.886 * [misc]backup-simplify: Simplify (log 1) into 0 1544087860.886 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087860.886 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544087860.886 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544087860.886 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in k 1544087860.886 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544087860.886 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087860.886 * [misc]taylor: Taking taylor expansion of 2 in k 1544087860.886 * [misc]backup-simplify: Simplify 2 into 2 1544087860.887 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.887 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.887 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.887 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in k 1544087860.887 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in k 1544087860.887 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544087860.887 * [misc]taylor: Taking taylor expansion of n in k 1544087860.887 * [misc]backup-simplify: Simplify n into n 1544087860.887 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544087860.887 * [misc]backup-simplify: Simplify (sqrt (/ 1 n)) into (sqrt (/ 1 n)) 1544087860.887 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1544087860.888 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 n)))) into 0 1544087860.888 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544087860.888 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544087860.888 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544087860.888 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087860.888 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.888 * [misc]taylor: Taking taylor expansion of (log k) in k 1544087860.888 * [misc]taylor: Taking taylor expansion of k in k 1544087860.888 * [misc]backup-simplify: Simplify 0 into 0 1544087860.888 * [misc]backup-simplify: Simplify 1 into 1 1544087860.888 * [misc]backup-simplify: Simplify (log 1) into 0 1544087860.888 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087860.888 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544087860.888 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544087860.888 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 n)) (pow k 1/4)) into (* (sqrt (/ 1 n)) (pow k 1/4)) 1544087860.889 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) into (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) 1544087860.889 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in n 1544087860.889 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544087860.889 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087860.889 * [misc]taylor: Taking taylor expansion of 2 in n 1544087860.889 * [misc]backup-simplify: Simplify 2 into 2 1544087860.889 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.889 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.889 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.889 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in n 1544087860.889 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544087860.889 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544087860.889 * [misc]taylor: Taking taylor expansion of n in n 1544087860.889 * [misc]backup-simplify: Simplify 0 into 0 1544087860.889 * [misc]backup-simplify: Simplify 1 into 1 1544087860.889 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087860.889 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.890 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087860.890 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1544087860.890 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1544087860.890 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1544087860.890 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544087860.890 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.890 * [misc]taylor: Taking taylor expansion of (log k) in n 1544087860.890 * [misc]taylor: Taking taylor expansion of k in n 1544087860.890 * [misc]backup-simplify: Simplify k into k 1544087860.890 * [misc]backup-simplify: Simplify (log k) into (log k) 1544087860.890 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544087860.890 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544087860.890 * [misc]backup-simplify: Simplify (* 0 (pow k 1/4)) into 0 1544087860.890 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1544087860.890 * [misc]backup-simplify: Simplify 0 into 0 1544087860.892 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544087860.892 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087860.892 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544087860.893 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087860.893 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (* 0 (pow k 1/4))) into 0 1544087860.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087860.893 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (* (sqrt (/ 1 n)) (pow k 1/4)))) into 0 1544087860.893 * [misc]taylor: Taking taylor expansion of 0 in n 1544087860.893 * [misc]backup-simplify: Simplify 0 into 0 1544087860.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1544087860.894 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544087860.894 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087860.895 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow k 1/4))) into (- (* +nan.0 (pow k 1/4))) 1544087860.895 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087860.895 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow k 1/4)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544087860.895 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544087860.898 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544087860.898 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087860.898 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544087860.900 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087860.900 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544087860.900 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 n)))) into 0 1544087860.900 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1544087860.901 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087860.901 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.902 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 n)) (pow k 1/4))))) into 0 1544087860.902 * [misc]taylor: Taking taylor expansion of 0 in n 1544087860.902 * [misc]backup-simplify: Simplify 0 into 0 1544087860.902 * [misc]backup-simplify: Simplify 0 into 0 1544087860.903 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1544087860.903 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544087860.906 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087860.906 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087860.907 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087860.907 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow k 1/4)))) into (- (* +nan.0 (pow k 1/4))) 1544087860.908 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087860.908 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.909 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow k 1/4)))) (+ (* 0 (- (* +nan.0 (pow k 1/4)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544087860.909 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544087860.913 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544087860.913 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087860.913 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1544087860.915 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087860.915 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544087860.916 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 n)))) into 0 1544087860.916 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 1544087860.916 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087860.916 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.917 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 n)) (pow k 1/4)))))) into 0 1544087860.917 * [misc]taylor: Taking taylor expansion of 0 in n 1544087860.917 * [misc]backup-simplify: Simplify 0 into 0 1544087860.917 * [misc]backup-simplify: Simplify 0 into 0 1544087860.917 * [misc]backup-simplify: Simplify 0 into 0 1544087860.918 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 1544087860.919 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1544087860.921 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087860.921 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087860.922 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087860.922 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow k 1/4))))) into (- (* +nan.0 (pow k 1/4))) 1544087860.922 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087860.923 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.923 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow k 1/4)))) (+ (* 0 (- (* +nan.0 (pow k 1/4)))) (+ (* 0 (- (* +nan.0 (pow k 1/4)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544087860.923 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544087860.925 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) (pow (* n 1) 2)) (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) (* n 1)) (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))))) into (- (+ (* +nan.0 (* (/ (pow n 2) (sqrt 2)) (pow k 1/4))) (- (+ (* +nan.0 (* (/ n (sqrt 2)) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))))))) 1544087860.925 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt (/ 1 k))) (sqrt (* (/ 1 n) 2))) into (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) 1544087860.925 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in (k n) around 0 1544087860.925 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in n 1544087860.925 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544087860.925 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087860.925 * [misc]taylor: Taking taylor expansion of 2 in n 1544087860.925 * [misc]backup-simplify: Simplify 2 into 2 1544087860.925 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.925 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.925 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in n 1544087860.925 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1544087860.925 * [misc]taylor: Taking taylor expansion of n in n 1544087860.925 * [misc]backup-simplify: Simplify 0 into 0 1544087860.925 * [misc]backup-simplify: Simplify 1 into 1 1544087860.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.926 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087860.926 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1544087860.926 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1544087860.926 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1544087860.926 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544087860.926 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.926 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1544087860.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087860.926 * [misc]taylor: Taking taylor expansion of k in n 1544087860.926 * [misc]backup-simplify: Simplify k into k 1544087860.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087860.926 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1544087860.926 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1544087860.926 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1544087860.926 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in k 1544087860.926 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544087860.926 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087860.926 * [misc]taylor: Taking taylor expansion of 2 in k 1544087860.926 * [misc]backup-simplify: Simplify 2 into 2 1544087860.927 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.927 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.927 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in k 1544087860.927 * [misc]taylor: Taking taylor expansion of (sqrt n) in k 1544087860.927 * [misc]taylor: Taking taylor expansion of n in k 1544087860.927 * [misc]backup-simplify: Simplify n into n 1544087860.927 * [misc]backup-simplify: Simplify (sqrt n) into (sqrt n) 1544087860.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt n))) into 0 1544087860.927 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544087860.927 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544087860.927 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544087860.927 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087860.927 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.927 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544087860.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087860.927 * [misc]taylor: Taking taylor expansion of k in k 1544087860.927 * [misc]backup-simplify: Simplify 0 into 0 1544087860.927 * [misc]backup-simplify: Simplify 1 into 1 1544087860.927 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087860.927 * [misc]backup-simplify: Simplify (log 1) into 0 1544087860.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087860.928 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544087860.928 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544087860.928 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in k 1544087860.928 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544087860.928 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087860.928 * [misc]taylor: Taking taylor expansion of 2 in k 1544087860.928 * [misc]backup-simplify: Simplify 2 into 2 1544087860.928 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.928 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.928 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in k 1544087860.928 * [misc]taylor: Taking taylor expansion of (sqrt n) in k 1544087860.928 * [misc]taylor: Taking taylor expansion of n in k 1544087860.928 * [misc]backup-simplify: Simplify n into n 1544087860.928 * [misc]backup-simplify: Simplify (sqrt n) into (sqrt n) 1544087860.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt n))) into 0 1544087860.929 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544087860.929 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544087860.929 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544087860.929 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087860.929 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.929 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544087860.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087860.929 * [misc]taylor: Taking taylor expansion of k in k 1544087860.929 * [misc]backup-simplify: Simplify 0 into 0 1544087860.929 * [misc]backup-simplify: Simplify 1 into 1 1544087860.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087860.929 * [misc]backup-simplify: Simplify (log 1) into 0 1544087860.929 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087860.929 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544087860.929 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544087860.929 * [misc]backup-simplify: Simplify (* (sqrt n) (pow k -1/4)) into (* (sqrt n) (pow (/ 1 k) 1/4)) 1544087860.930 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) into (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) 1544087860.930 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in n 1544087860.930 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544087860.930 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087860.930 * [misc]taylor: Taking taylor expansion of 2 in n 1544087860.930 * [misc]backup-simplify: Simplify 2 into 2 1544087860.930 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.930 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.930 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087860.930 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in n 1544087860.930 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1544087860.930 * [misc]taylor: Taking taylor expansion of n in n 1544087860.930 * [misc]backup-simplify: Simplify 0 into 0 1544087860.930 * [misc]backup-simplify: Simplify 1 into 1 1544087860.930 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.931 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544087860.931 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1544087860.931 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1544087860.931 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1544087860.931 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544087860.931 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087860.931 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1544087860.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087860.931 * [misc]taylor: Taking taylor expansion of k in n 1544087860.931 * [misc]backup-simplify: Simplify k into k 1544087860.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087860.931 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1544087860.931 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1544087860.931 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1544087860.931 * [misc]backup-simplify: Simplify (* 0 (pow (/ 1 k) 1/4)) into 0 1544087860.931 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1544087860.931 * [misc]backup-simplify: Simplify 0 into 0 1544087860.931 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087860.934 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544087860.934 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087860.934 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1544087860.935 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087860.936 * [misc]backup-simplify: Simplify (+ (* (sqrt n) 0) (* 0 (pow k -1/4))) into 0 1544087860.936 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087860.936 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (* (sqrt n) (pow (/ 1 k) 1/4)))) into 0 1544087860.936 * [misc]taylor: Taking taylor expansion of 0 in n 1544087860.936 * [misc]backup-simplify: Simplify 0 into 0 1544087860.936 * [misc]backup-simplify: Simplify 0 into 0 1544087860.937 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087860.937 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1544087860.938 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1544087860.939 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087860.939 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 k) 1/4))) into (- (* +nan.0 (pow (/ 1 k) 1/4))) 1544087860.939 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087860.940 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow (/ 1 k) 1/4)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544087860.940 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544087860.941 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087860.945 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544087860.945 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087860.946 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1544087860.948 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087860.948 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt n))) into 0 1544087860.949 * [misc]backup-simplify: Simplify (+ (* (sqrt n) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 1544087860.950 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087860.951 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.951 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt n) (pow (/ 1 k) 1/4))))) into 0 1544087860.951 * [misc]taylor: Taking taylor expansion of 0 in n 1544087860.951 * [misc]backup-simplify: Simplify 0 into 0 1544087860.951 * [misc]backup-simplify: Simplify 0 into 0 1544087860.951 * [misc]backup-simplify: Simplify 0 into 0 1544087860.952 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087860.953 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 1544087860.954 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1544087860.956 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087860.957 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087860.957 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (pow (/ 1 k) 1/4))) 1544087860.958 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087860.959 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.960 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow (/ 1 k) 1/4)))) (+ (* 0 (- (* +nan.0 (pow (/ 1 k) 1/4)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544087860.960 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544087860.960 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087860.964 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544087860.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087860.965 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1544087860.966 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087860.967 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt n))) into 0 1544087860.967 * [misc]backup-simplify: Simplify (+ (* (sqrt n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 1544087860.967 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087860.968 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.968 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt n) (pow (/ 1 k) 1/4)))))) into 0 1544087860.968 * [misc]taylor: Taking taylor expansion of 0 in n 1544087860.968 * [misc]backup-simplify: Simplify 0 into 0 1544087860.968 * [misc]backup-simplify: Simplify 0 into 0 1544087860.968 * [misc]backup-simplify: Simplify 0 into 0 1544087860.968 * [misc]backup-simplify: Simplify 0 into 0 1544087860.968 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087860.970 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 k) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 k) 1)))) 6) into 0 1544087860.970 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 k)))))) into 0 1544087860.973 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087860.974 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087860.974 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 k) 1/4))))) into (- (* +nan.0 (pow (/ 1 k) 1/4))) 1544087860.974 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087860.974 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087860.975 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow (/ 1 k) 1/4)))) (+ (* 0 (- (* +nan.0 (pow (/ 1 k) 1/4)))) (+ (* 0 (- (* +nan.0 (pow (/ 1 k) 1/4)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544087860.976 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544087860.977 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 k)) 1/4)))) (pow (* (/ 1 n) 1) 3)) (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 k)) 1/4)))) (pow (* (/ 1 n) 1) 2)) (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 k)) 1/4)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 3))) (pow k 1/4))) (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 2))) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (* (sqrt 2) n)) (pow k 1/4)))))))) 1544087860.977 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt (/ 1 (- k)))) (sqrt (* (/ 1 (- n)) 2))) into (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) 1544087860.977 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in (k n) around 0 1544087860.977 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in n 1544087860.977 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1544087860.977 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087860.977 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087860.977 * [misc]taylor: Taking taylor expansion of -2 in n 1544087860.977 * [misc]backup-simplify: Simplify -2 into -2 1544087860.977 * [misc]taylor: Taking taylor expansion of n in n 1544087860.977 * [misc]backup-simplify: Simplify 0 into 0 1544087860.977 * [misc]backup-simplify: Simplify 1 into 1 1544087860.977 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087860.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.978 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087860.978 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544087860.978 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in n 1544087860.978 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087860.978 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087860.978 * [misc]taylor: Taking taylor expansion of -1 in n 1544087860.978 * [misc]backup-simplify: Simplify -1 into -1 1544087860.978 * [misc]taylor: Taking taylor expansion of k in n 1544087860.978 * [misc]backup-simplify: Simplify k into k 1544087860.978 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087860.978 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087860.978 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087860.978 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087860.978 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) 1544087860.978 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 1544087860.978 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in k 1544087860.978 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in k 1544087860.978 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544087860.978 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087860.979 * [misc]taylor: Taking taylor expansion of -2 in k 1544087860.979 * [misc]backup-simplify: Simplify -2 into -2 1544087860.979 * [misc]taylor: Taking taylor expansion of n in k 1544087860.979 * [misc]backup-simplify: Simplify n into n 1544087860.979 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087860.979 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544087860.979 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544087860.979 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544087860.979 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -2 n))) into (/ 1 (sqrt (/ -2 n))) 1544087860.979 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544087860.979 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087860.979 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087860.979 * [misc]taylor: Taking taylor expansion of -1 in k 1544087860.979 * [misc]backup-simplify: Simplify -1 into -1 1544087860.979 * [misc]taylor: Taking taylor expansion of k in k 1544087860.979 * [misc]backup-simplify: Simplify 0 into 0 1544087860.979 * [misc]backup-simplify: Simplify 1 into 1 1544087860.979 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087860.979 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.979 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087860.980 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544087860.980 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087860.980 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087860.981 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544087860.981 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in k 1544087860.981 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in k 1544087860.981 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544087860.981 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087860.981 * [misc]taylor: Taking taylor expansion of -2 in k 1544087860.981 * [misc]backup-simplify: Simplify -2 into -2 1544087860.981 * [misc]taylor: Taking taylor expansion of n in k 1544087860.981 * [misc]backup-simplify: Simplify n into n 1544087860.981 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087860.981 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544087860.981 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544087860.981 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544087860.981 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -2 n))) into (/ 1 (sqrt (/ -2 n))) 1544087860.981 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544087860.981 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087860.981 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087860.981 * [misc]taylor: Taking taylor expansion of -1 in k 1544087860.981 * [misc]backup-simplify: Simplify -1 into -1 1544087860.981 * [misc]taylor: Taking taylor expansion of k in k 1544087860.981 * [misc]backup-simplify: Simplify 0 into 0 1544087860.981 * [misc]backup-simplify: Simplify 1 into 1 1544087860.981 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087860.981 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.982 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087860.982 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544087860.982 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087860.983 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087860.983 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544087860.983 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (/ -2 n))) (sqrt +nan.0)) into (/ (sqrt +nan.0) (sqrt (/ -2 n))) 1544087860.983 * [misc]taylor: Taking taylor expansion of (/ (sqrt +nan.0) (sqrt (/ -2 n))) in n 1544087860.983 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1544087860.983 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087860.983 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087860.983 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544087860.983 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1544087860.983 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087860.983 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087860.984 * [misc]taylor: Taking taylor expansion of -2 in n 1544087860.984 * [misc]backup-simplify: Simplify -2 into -2 1544087860.984 * [misc]taylor: Taking taylor expansion of n in n 1544087860.984 * [misc]backup-simplify: Simplify 0 into 0 1544087860.984 * [misc]backup-simplify: Simplify 1 into 1 1544087860.984 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087860.984 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.984 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087860.984 * [misc]backup-simplify: Simplify (/ (sqrt +nan.0) +nan.0) into (* +nan.0 (sqrt +nan.0)) 1544087860.984 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0)) 1544087860.985 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -2 n))) (/ 0 (sqrt (/ -2 n)))))) into 0 1544087860.985 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt (/ -2 n))) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0))))) 1544087860.985 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0))))) in n 1544087860.985 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0)))) in n 1544087860.985 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087860.985 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087860.985 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0))) in n 1544087860.985 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (sqrt +nan.0)) in n 1544087860.985 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087860.985 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087860.985 * [misc]taylor: Taking taylor expansion of -2 in n 1544087860.985 * [misc]backup-simplify: Simplify -2 into -2 1544087860.985 * [misc]taylor: Taking taylor expansion of n in n 1544087860.985 * [misc]backup-simplify: Simplify 0 into 0 1544087860.985 * [misc]backup-simplify: Simplify 1 into 1 1544087860.985 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087860.985 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.986 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087860.986 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1544087860.986 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087860.986 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087860.986 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544087860.986 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1544087860.986 * [misc]backup-simplify: Simplify (* 0 (sqrt +nan.0)) into 0 1544087860.986 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0))) 1544087860.987 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (sqrt +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 1544087860.987 * [misc]backup-simplify: Simplify (* +nan.0 (/ +nan.0 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544087860.987 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 1544087860.988 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 1544087860.988 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087860.989 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087860.990 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (sqrt +nan.0)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (sqrt +nan.0))) 1544087860.990 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0))) 1544087860.991 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt +nan.0))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (* 1 (/ 1 (- k)))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) n))))))) 1544087860.991 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1544087860.991 * [misc]backup-simplify: Simplify (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) into (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) 1544087860.991 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in (k n) around 0 1544087860.991 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1544087860.991 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1544087860.991 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1544087860.991 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087860.991 * [misc]taylor: Taking taylor expansion of 2 in n 1544087860.991 * [misc]backup-simplify: Simplify 2 into 2 1544087860.992 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.992 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.992 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1544087860.992 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1544087860.992 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1544087860.992 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544087860.992 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087860.992 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087860.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087860.992 * [misc]taylor: Taking taylor expansion of k in n 1544087860.992 * [misc]backup-simplify: Simplify k into k 1544087860.992 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087860.992 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087860.992 * [misc]taylor: Taking taylor expansion of 2 in n 1544087860.992 * [misc]backup-simplify: Simplify 2 into 2 1544087860.992 * [misc]taylor: Taking taylor expansion of n in n 1544087860.992 * [misc]backup-simplify: Simplify 0 into 0 1544087860.992 * [misc]backup-simplify: Simplify 1 into 1 1544087860.992 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087860.993 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087860.993 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087860.993 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087860.993 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087860.993 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087860.994 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1544087860.994 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1544087860.994 * [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)))) 1544087860.995 * [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))))) 1544087860.995 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1544087860.995 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1544087860.995 * [misc]taylor: Taking taylor expansion of k in n 1544087860.995 * [misc]backup-simplify: Simplify k into k 1544087860.995 * [misc]taylor: Taking taylor expansion of n in n 1544087860.995 * [misc]backup-simplify: Simplify 0 into 0 1544087860.995 * [misc]backup-simplify: Simplify 1 into 1 1544087860.995 * [misc]backup-simplify: Simplify (/ k 1) into k 1544087860.995 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087860.995 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1544087860.995 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in k 1544087860.995 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in k 1544087860.995 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of 2 in k 1544087860.996 * [misc]backup-simplify: Simplify 2 into 2 1544087860.996 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087860.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087860.996 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087860.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087860.996 * [misc]taylor: Taking taylor expansion of k in k 1544087860.996 * [misc]backup-simplify: Simplify 0 into 0 1544087860.996 * [misc]backup-simplify: Simplify 1 into 1 1544087860.996 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087860.996 * [misc]taylor: Taking taylor expansion of 2 in k 1544087860.996 * [misc]backup-simplify: Simplify 2 into 2 1544087860.996 * [misc]taylor: Taking taylor expansion of n in k 1544087860.996 * [misc]backup-simplify: Simplify n into n 1544087860.996 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087860.996 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087860.997 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087860.997 * [misc]backup-simplify: Simplify (- 0) into 0 1544087860.997 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544087860.997 * [misc]backup-simplify: Simplify (- 0) into 0 1544087860.997 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087860.998 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087860.998 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087860.999 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087860.999 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087860.999 * [misc]backup-simplify: Simplify (exp 0) into 1 1544087860.999 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544087861.000 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087861.000 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544087861.000 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544087861.000 * [misc]taylor: Taking taylor expansion of k in k 1544087861.000 * [misc]backup-simplify: Simplify 0 into 0 1544087861.000 * [misc]backup-simplify: Simplify 1 into 1 1544087861.000 * [misc]taylor: Taking taylor expansion of n in k 1544087861.000 * [misc]backup-simplify: Simplify n into n 1544087861.000 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544087861.000 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.000 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544087861.000 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in k 1544087861.000 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in k 1544087861.000 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in k 1544087861.000 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087861.000 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.000 * [misc]backup-simplify: Simplify 2 into 2 1544087861.001 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.001 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.001 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544087861.001 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544087861.001 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544087861.001 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544087861.001 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087861.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.001 * [misc]taylor: Taking taylor expansion of k in k 1544087861.001 * [misc]backup-simplify: Simplify 0 into 0 1544087861.001 * [misc]backup-simplify: Simplify 1 into 1 1544087861.001 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087861.001 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087861.001 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.001 * [misc]backup-simplify: Simplify 2 into 2 1544087861.001 * [misc]taylor: Taking taylor expansion of n in k 1544087861.001 * [misc]backup-simplify: Simplify n into n 1544087861.001 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087861.001 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087861.002 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087861.002 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.002 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544087861.002 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.002 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087861.003 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087861.003 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087861.003 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.004 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087861.004 * [misc]backup-simplify: Simplify (exp 0) into 1 1544087861.004 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544087861.004 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087861.004 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544087861.004 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544087861.004 * [misc]taylor: Taking taylor expansion of k in k 1544087861.004 * [misc]backup-simplify: Simplify 0 into 0 1544087861.005 * [misc]backup-simplify: Simplify 1 into 1 1544087861.005 * [misc]taylor: Taking taylor expansion of n in k 1544087861.005 * [misc]backup-simplify: Simplify n into n 1544087861.005 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544087861.005 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.005 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544087861.005 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1544087861.005 * [misc]taylor: Taking taylor expansion of 0 in n 1544087861.005 * [misc]backup-simplify: Simplify 0 into 0 1544087861.006 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (log (* 2 n))) 1544087861.006 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 n)))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) 1544087861.007 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) (sqrt 2))))) into (* 1/2 (/ (log (* 2 n)) (sqrt 2))) 1544087861.008 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 n)) (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) 1544087861.008 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) in n 1544087861.008 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) n))) in n 1544087861.008 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.008 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.008 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) n)) in n 1544087861.008 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544087861.008 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.008 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.008 * [misc]backup-simplify: Simplify 2 into 2 1544087861.008 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.008 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.008 * [misc]taylor: Taking taylor expansion of n in n 1544087861.008 * [misc]backup-simplify: Simplify 0 into 0 1544087861.008 * [misc]backup-simplify: Simplify 1 into 1 1544087861.008 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.009 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544087861.009 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087861.010 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1544087861.010 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1544087861.011 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1544087861.011 * [misc]backup-simplify: Simplify 0 into 0 1544087861.011 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1544087861.012 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1544087861.012 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.012 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544087861.014 * [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 1544087861.014 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.015 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.015 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.015 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544087861.016 * [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)) 1544087861.017 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.018 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 n)) 2))) (+ (* 0 (* -1/2 (log (* 2 n)))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 n)) 2))) 1544087861.020 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 n)) 2))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) (sqrt 2))))) into (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) 1544087861.021 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 2))) (+ (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ +nan.0 n)) (* (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n)))))) 1544087861.021 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n)))))) in n 1544087861.021 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n))))) in n 1544087861.021 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) in n 1544087861.021 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.021 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.021 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 2))) in n 1544087861.021 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1544087861.021 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.021 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.021 * [misc]backup-simplify: Simplify 2 into 2 1544087861.021 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.022 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.022 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.022 * [misc]taylor: Taking taylor expansion of n in n 1544087861.022 * [misc]backup-simplify: Simplify 0 into 0 1544087861.022 * [misc]backup-simplify: Simplify 1 into 1 1544087861.022 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.023 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544087861.023 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087861.023 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n)))) in n 1544087861.023 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n))) in n 1544087861.023 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.023 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.023 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (* (sqrt 2) n)) in n 1544087861.023 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.023 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.023 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.023 * [misc]backup-simplify: Simplify 2 into 2 1544087861.023 * [misc]taylor: Taking taylor expansion of n in n 1544087861.023 * [misc]backup-simplify: Simplify 0 into 0 1544087861.023 * [misc]backup-simplify: Simplify 1 into 1 1544087861.024 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.024 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.024 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.024 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544087861.024 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.024 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.024 * [misc]backup-simplify: Simplify 2 into 2 1544087861.024 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.024 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.024 * [misc]taylor: Taking taylor expansion of n in n 1544087861.024 * [misc]backup-simplify: Simplify 0 into 0 1544087861.025 * [misc]backup-simplify: Simplify 1 into 1 1544087861.025 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.025 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.026 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544087861.026 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.026 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1544087861.027 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.027 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1544087861.027 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087861.028 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1544087861.028 * [misc]backup-simplify: Simplify (* +nan.0 (/ (+ (log 2) (log n)) (sqrt 2))) into (* +nan.0 (/ (+ (log 2) (log n)) (sqrt 2))) 1544087861.029 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (+ (log 2) (log n)) (sqrt 2)))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1544087861.030 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2))))))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1544087861.031 * [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)))))) 1544087861.032 * [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)))))) 1544087861.034 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.034 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.034 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087861.035 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1544087861.035 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.035 * [misc]backup-simplify: Simplify 0 into 0 1544087861.035 * [misc]backup-simplify: Simplify 0 into 0 1544087861.035 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544087861.036 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1544087861.036 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.036 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544087861.039 * [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 1544087861.039 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.039 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.040 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087861.040 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.040 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544087861.042 * [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)) 1544087861.042 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.043 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 n)) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 n)) 2))) (+ (* 0 (* -1/2 (log (* 2 n)))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 n)) 3)))) 1544087861.045 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/48 (* (sqrt 2) (pow (log (* 2 n)) 3)))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 n)) 2))) (sqrt 2))) (* (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) (sqrt 2))))) into (* 1/48 (/ (pow (log (* 2 n)) 3) (sqrt 2))) 1544087861.047 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 3))) (+ (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ +nan.0 (pow n 2))) (+ (* (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) (/ +nan.0 n)) (* (* 1/48 (/ (pow (log (* 2 n)) 3) (sqrt 2))) 0)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))))))) 1544087861.047 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))))))) in n 1544087861.047 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2)))))))) in n 1544087861.047 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) in n 1544087861.047 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.047 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.047 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 3))) in n 1544087861.047 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1544087861.047 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.047 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.047 * [misc]backup-simplify: Simplify 2 into 2 1544087861.047 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.048 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.048 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544087861.048 * [misc]taylor: Taking taylor expansion of n in n 1544087861.048 * [misc]backup-simplify: Simplify 0 into 0 1544087861.048 * [misc]backup-simplify: Simplify 1 into 1 1544087861.048 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.048 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.048 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544087861.049 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544087861.049 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))))) in n 1544087861.049 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2)))))) in n 1544087861.049 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) in n 1544087861.049 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.049 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.049 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n)) in n 1544087861.049 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544087861.049 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.049 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.049 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.049 * [misc]backup-simplify: Simplify 2 into 2 1544087861.049 * [misc]taylor: Taking taylor expansion of n in n 1544087861.049 * [misc]backup-simplify: Simplify 0 into 0 1544087861.049 * [misc]backup-simplify: Simplify 1 into 1 1544087861.049 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.049 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.050 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.050 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.050 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544087861.050 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.050 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.050 * [misc]backup-simplify: Simplify 2 into 2 1544087861.050 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.050 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.050 * [misc]taylor: Taking taylor expansion of n in n 1544087861.050 * [misc]backup-simplify: Simplify 0 into 0 1544087861.050 * [misc]backup-simplify: Simplify 1 into 1 1544087861.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.051 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544087861.052 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.052 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544087861.053 * [misc]backup-simplify: Simplify (/ (pow (+ (log 2) (log n)) 2) (sqrt 2)) into (/ (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544087861.053 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))) in n 1544087861.053 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2)))) in n 1544087861.053 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.053 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.053 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))) in n 1544087861.053 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.053 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.053 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.053 * [misc]backup-simplify: Simplify 2 into 2 1544087861.053 * [misc]taylor: Taking taylor expansion of n in n 1544087861.053 * [misc]backup-simplify: Simplify 0 into 0 1544087861.053 * [misc]backup-simplify: Simplify 1 into 1 1544087861.053 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.053 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.053 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.054 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1544087861.054 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.054 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.054 * [misc]backup-simplify: Simplify 2 into 2 1544087861.054 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.054 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.054 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.054 * [misc]taylor: Taking taylor expansion of n in n 1544087861.054 * [misc]backup-simplify: Simplify 0 into 0 1544087861.054 * [misc]backup-simplify: Simplify 1 into 1 1544087861.054 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.055 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.055 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544087861.055 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.056 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1544087861.056 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544087861.056 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.056 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544087861.057 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.058 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.058 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 1544087861.059 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1544087861.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087861.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544087861.060 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1544087861.060 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (+ (log 2) (log n)) 2) (sqrt 2))) into (* +nan.0 (/ (pow (+ (log 2) (log n)) 2) (sqrt 2))) 1544087861.060 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.063 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.063 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.063 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1544087861.064 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544087861.064 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log 2) (log n)) (sqrt 2)))) into 0 1544087861.064 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.065 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (pow (+ (log 2) (log n)) 2) (sqrt 2))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544087861.067 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2))))))))) into (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544087861.070 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544087861.072 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2))))))))) into (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544087861.075 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) into (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544087861.080 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (* (log n) (pow k 3))) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log 2) 2) (pow k 3)) (* (sqrt 2) n))) (- (* +nan.0 (/ k (* (sqrt 2) n)))))))))))))) 1544087861.080 * [misc]backup-simplify: Simplify (* (/ (sqrt (sqrt (/ 1 k))) (sqrt (* (/ 1 n) 2))) (/ (sqrt (sqrt (/ 1 k))) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2))))) into (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) 1544087861.080 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in (k n) around 0 1544087861.080 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1544087861.080 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1544087861.080 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1544087861.080 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.080 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.081 * [misc]backup-simplify: Simplify 2 into 2 1544087861.081 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.081 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.081 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of k in n 1544087861.081 * [misc]backup-simplify: Simplify k into k 1544087861.081 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.081 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.081 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.081 * [misc]backup-simplify: Simplify 2 into 2 1544087861.081 * [misc]taylor: Taking taylor expansion of n in n 1544087861.081 * [misc]backup-simplify: Simplify 0 into 0 1544087861.081 * [misc]backup-simplify: Simplify 1 into 1 1544087861.082 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.082 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.082 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.082 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087861.083 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.083 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.083 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.084 * [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)))) 1544087861.084 * [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))))) 1544087861.084 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1544087861.084 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1544087861.084 * [misc]taylor: Taking taylor expansion of n in n 1544087861.084 * [misc]backup-simplify: Simplify 0 into 0 1544087861.085 * [misc]backup-simplify: Simplify 1 into 1 1544087861.085 * [misc]taylor: Taking taylor expansion of k in n 1544087861.085 * [misc]backup-simplify: Simplify k into k 1544087861.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.085 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.085 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1544087861.085 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in k 1544087861.085 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in k 1544087861.085 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in k 1544087861.085 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087861.085 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.085 * [misc]backup-simplify: Simplify 2 into 2 1544087861.085 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.086 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.086 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.086 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of k in k 1544087861.086 * [misc]backup-simplify: Simplify 0 into 0 1544087861.086 * [misc]backup-simplify: Simplify 1 into 1 1544087861.086 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.086 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087861.086 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.086 * [misc]backup-simplify: Simplify 2 into 2 1544087861.086 * [misc]taylor: Taking taylor expansion of n in k 1544087861.086 * [misc]backup-simplify: Simplify n into n 1544087861.086 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087861.086 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087861.086 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.087 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.087 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087861.087 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544087861.087 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (/ 2 n)) k)))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) 1544087861.088 * [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))) 1544087861.088 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544087861.088 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544087861.088 * [misc]taylor: Taking taylor expansion of n in k 1544087861.088 * [misc]backup-simplify: Simplify n into n 1544087861.088 * [misc]taylor: Taking taylor expansion of k in k 1544087861.088 * [misc]backup-simplify: Simplify 0 into 0 1544087861.088 * [misc]backup-simplify: Simplify 1 into 1 1544087861.088 * [misc]backup-simplify: Simplify (/ n 1) into n 1544087861.088 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.088 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544087861.088 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in k 1544087861.088 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in k 1544087861.088 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in k 1544087861.088 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087861.088 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.088 * [misc]backup-simplify: Simplify 2 into 2 1544087861.089 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.089 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.089 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.089 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of k in k 1544087861.089 * [misc]backup-simplify: Simplify 0 into 0 1544087861.089 * [misc]backup-simplify: Simplify 1 into 1 1544087861.089 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.089 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087861.089 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.089 * [misc]backup-simplify: Simplify 2 into 2 1544087861.089 * [misc]taylor: Taking taylor expansion of n in k 1544087861.089 * [misc]backup-simplify: Simplify n into n 1544087861.089 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087861.090 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087861.090 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.090 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.090 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087861.090 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544087861.090 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (/ 2 n)) k)))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) 1544087861.091 * [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))) 1544087861.091 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544087861.091 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544087861.091 * [misc]taylor: Taking taylor expansion of n in k 1544087861.091 * [misc]backup-simplify: Simplify n into n 1544087861.091 * [misc]taylor: Taking taylor expansion of k in k 1544087861.091 * [misc]backup-simplify: Simplify 0 into 0 1544087861.091 * [misc]backup-simplify: Simplify 1 into 1 1544087861.091 * [misc]backup-simplify: Simplify (/ n 1) into n 1544087861.091 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.091 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544087861.092 * [misc]backup-simplify: Simplify (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) 0) into 0 1544087861.092 * [misc]taylor: Taking taylor expansion of 0 in n 1544087861.092 * [misc]backup-simplify: Simplify 0 into 0 1544087861.092 * [misc]backup-simplify: Simplify 0 into 0 1544087861.092 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k))))) into 0 1544087861.093 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544087861.093 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544087861.093 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.094 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.094 * [misc]taylor: Taking taylor expansion of (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of n in n 1544087861.094 * [misc]backup-simplify: Simplify 0 into 0 1544087861.094 * [misc]backup-simplify: Simplify 1 into 1 1544087861.094 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.094 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.094 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.094 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.094 * [misc]backup-simplify: Simplify 2 into 2 1544087861.094 * [misc]taylor: Taking taylor expansion of n in n 1544087861.094 * [misc]backup-simplify: Simplify 0 into 0 1544087861.094 * [misc]backup-simplify: Simplify 1 into 1 1544087861.094 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.094 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.094 * [misc]taylor: Taking taylor expansion of k in n 1544087861.094 * [misc]backup-simplify: Simplify k into k 1544087861.095 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.095 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.095 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.096 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.096 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.096 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.096 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.096 * [misc]backup-simplify: Simplify 2 into 2 1544087861.096 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.096 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.097 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544087861.097 * [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))))) 1544087861.097 * [misc]backup-simplify: Simplify 0 into 0 1544087861.098 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1544087861.098 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1544087861.099 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.100 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k)))))) into 0 1544087861.101 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544087861.101 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544087861.102 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.102 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.102 * [misc]taylor: Taking taylor expansion of (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of n in n 1544087861.102 * [misc]backup-simplify: Simplify 0 into 0 1544087861.102 * [misc]backup-simplify: Simplify 1 into 1 1544087861.102 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.102 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.102 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.102 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.102 * [misc]backup-simplify: Simplify 2 into 2 1544087861.102 * [misc]taylor: Taking taylor expansion of n in n 1544087861.102 * [misc]backup-simplify: Simplify 0 into 0 1544087861.102 * [misc]backup-simplify: Simplify 1 into 1 1544087861.102 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.102 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.102 * [misc]taylor: Taking taylor expansion of k in n 1544087861.103 * [misc]backup-simplify: Simplify k into k 1544087861.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.103 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.104 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.104 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.104 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.104 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.104 * [misc]backup-simplify: Simplify 2 into 2 1544087861.104 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.104 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.105 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.105 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544087861.105 * [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))))) 1544087861.106 * [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))))) 1544087861.106 * [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))))))) 1544087861.107 * [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))))))) 1544087861.107 * [misc]backup-simplify: Simplify 0 into 0 1544087861.107 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.108 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1544087861.108 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.109 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k))))))) into 0 1544087861.110 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544087861.111 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544087861.111 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.111 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.111 * [misc]taylor: Taking taylor expansion of (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of n in n 1544087861.111 * [misc]backup-simplify: Simplify 0 into 0 1544087861.111 * [misc]backup-simplify: Simplify 1 into 1 1544087861.111 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.111 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.111 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.111 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.111 * [misc]backup-simplify: Simplify 2 into 2 1544087861.111 * [misc]taylor: Taking taylor expansion of n in n 1544087861.111 * [misc]backup-simplify: Simplify 0 into 0 1544087861.111 * [misc]backup-simplify: Simplify 1 into 1 1544087861.111 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.112 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.112 * [misc]taylor: Taking taylor expansion of k in n 1544087861.112 * [misc]backup-simplify: Simplify k into k 1544087861.112 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.112 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.113 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.113 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.113 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.113 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.113 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.113 * [misc]backup-simplify: Simplify 2 into 2 1544087861.113 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.114 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.114 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.114 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.114 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544087861.115 * [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))))) 1544087861.115 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087861.118 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.118 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544087861.118 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544087861.120 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.120 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (sqrt 2))) into 0 1544087861.121 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544087861.122 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1544087861.122 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.122 * [misc]backup-simplify: Simplify 0 into 0 1544087861.122 * [misc]backup-simplify: Simplify 0 into 0 1544087861.123 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.124 * [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)) 1544087861.125 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.126 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k)))))))) into 0 1544087861.128 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544087861.128 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))) into (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544087861.129 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.129 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.129 * [misc]taylor: Taking taylor expansion of (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of n in n 1544087861.129 * [misc]backup-simplify: Simplify 0 into 0 1544087861.129 * [misc]backup-simplify: Simplify 1 into 1 1544087861.129 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.129 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.129 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.129 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.129 * [misc]backup-simplify: Simplify 2 into 2 1544087861.129 * [misc]taylor: Taking taylor expansion of n in n 1544087861.129 * [misc]backup-simplify: Simplify 0 into 0 1544087861.129 * [misc]backup-simplify: Simplify 1 into 1 1544087861.129 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.129 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.129 * [misc]taylor: Taking taylor expansion of k in n 1544087861.130 * [misc]backup-simplify: Simplify k into k 1544087861.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.130 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.131 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.131 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.131 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.131 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.131 * [misc]backup-simplify: Simplify 2 into 2 1544087861.131 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.132 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.132 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.132 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.132 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544087861.133 * [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))))) 1544087861.133 * [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))))) 1544087861.134 * [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))))))) 1544087861.134 * [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))))))) 1544087861.136 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.140 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087861.141 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.141 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1544087861.144 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.144 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1544087861.146 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544087861.147 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544087861.147 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.147 * [misc]backup-simplify: Simplify 0 into 0 1544087861.147 * [misc]backup-simplify: Simplify 0 into 0 1544087861.148 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.149 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 4)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 5)) 1544087861.149 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.150 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k))))))))) into 0 1544087861.152 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544087861.153 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))))) into (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544087861.153 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544087861.153 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544087861.153 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.153 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.153 * [misc]taylor: Taking taylor expansion of (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544087861.153 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1544087861.153 * [misc]taylor: Taking taylor expansion of n in n 1544087861.153 * [misc]backup-simplify: Simplify 0 into 0 1544087861.153 * [misc]backup-simplify: Simplify 1 into 1 1544087861.153 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544087861.153 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.153 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.153 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.153 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.153 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.154 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.154 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.154 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.154 * [misc]backup-simplify: Simplify 2 into 2 1544087861.154 * [misc]taylor: Taking taylor expansion of n in n 1544087861.154 * [misc]backup-simplify: Simplify 0 into 0 1544087861.154 * [misc]backup-simplify: Simplify 1 into 1 1544087861.154 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.154 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.154 * [misc]taylor: Taking taylor expansion of k in n 1544087861.154 * [misc]backup-simplify: Simplify k into k 1544087861.154 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.155 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.155 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.155 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.156 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.156 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.156 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.156 * [misc]backup-simplify: Simplify 2 into 2 1544087861.156 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.156 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.156 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.156 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.157 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.157 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544087861.157 * [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))))) 1544087861.158 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.158 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087861.161 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.161 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544087861.161 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544087861.163 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.163 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (sqrt 2))) into 0 1544087861.164 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544087861.165 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1544087861.165 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.165 * [misc]backup-simplify: Simplify 0 into 0 1544087861.166 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.166 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.173 * [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 1544087861.173 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.174 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k))))) into 0 1544087861.176 * [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 1544087861.177 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 1544087861.179 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544087861.180 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))))) into 0 1544087861.180 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.180 * [misc]backup-simplify: Simplify 0 into 0 1544087861.180 * [misc]backup-simplify: Simplify 0 into 0 1544087861.180 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.181 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 3)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 5)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 4)))))) (* 2 0)) into (* +nan.0 (pow n 6)) 1544087861.182 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.182 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k)))))))))) into 0 1544087861.184 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544087861.184 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 6))) (+ (* 0 (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))))) into (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544087861.184 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544087861.184 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544087861.184 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.184 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.184 * [misc]taylor: Taking taylor expansion of (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544087861.184 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1544087861.185 * [misc]taylor: Taking taylor expansion of n in n 1544087861.185 * [misc]backup-simplify: Simplify 0 into 0 1544087861.185 * [misc]backup-simplify: Simplify 1 into 1 1544087861.185 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544087861.185 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.185 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.185 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.185 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.185 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.185 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.185 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.185 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.185 * [misc]backup-simplify: Simplify 2 into 2 1544087861.185 * [misc]taylor: Taking taylor expansion of n in n 1544087861.185 * [misc]backup-simplify: Simplify 0 into 0 1544087861.185 * [misc]backup-simplify: Simplify 1 into 1 1544087861.185 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.185 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.185 * [misc]taylor: Taking taylor expansion of k in n 1544087861.185 * [misc]backup-simplify: Simplify k into k 1544087861.185 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.185 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.186 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.186 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.186 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.186 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.186 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.186 * [misc]backup-simplify: Simplify 2 into 2 1544087861.186 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.186 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.186 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.186 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.187 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.187 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544087861.187 * [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))))) 1544087861.187 * [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))))) 1544087861.188 * [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))))))) 1544087861.188 * [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))))))) 1544087861.189 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (pow k 2)))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) k))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n))))))))) 1544087861.190 * [misc]backup-simplify: Simplify (* (/ (sqrt (sqrt (/ 1 (- k)))) (sqrt (* (/ 1 (- n)) 2))) (/ (sqrt (sqrt (/ 1 (- k)))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) 1544087861.190 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in (k n) around 0 1544087861.190 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1544087861.190 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087861.190 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087861.190 * [misc]taylor: Taking taylor expansion of -1 in n 1544087861.190 * [misc]backup-simplify: Simplify -1 into -1 1544087861.190 * [misc]taylor: Taking taylor expansion of k in n 1544087861.190 * [misc]backup-simplify: Simplify k into k 1544087861.190 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087861.190 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087861.190 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087861.190 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087861.190 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1544087861.190 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087861.190 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.190 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.190 * [misc]backup-simplify: Simplify -2 into -2 1544087861.190 * [misc]taylor: Taking taylor expansion of n in n 1544087861.190 * [misc]backup-simplify: Simplify 0 into 0 1544087861.190 * [misc]backup-simplify: Simplify 1 into 1 1544087861.190 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.190 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.191 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087861.191 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1544087861.191 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1544087861.191 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1544087861.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.191 * [misc]taylor: Taking taylor expansion of k in n 1544087861.191 * [misc]backup-simplify: Simplify k into k 1544087861.191 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.191 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087861.191 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.191 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.191 * [misc]backup-simplify: Simplify -2 into -2 1544087861.191 * [misc]taylor: Taking taylor expansion of n in n 1544087861.191 * [misc]backup-simplify: Simplify 0 into 0 1544087861.191 * [misc]backup-simplify: Simplify 1 into 1 1544087861.191 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.191 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087861.191 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.192 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.192 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544087861.192 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544087861.192 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1544087861.192 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.194 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087861.194 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.195 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.195 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1544087861.196 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.196 * [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))))) 1544087861.196 * [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))))) 1544087861.196 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in k 1544087861.196 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087861.196 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087861.196 * [misc]taylor: Taking taylor expansion of -1 in k 1544087861.196 * [misc]backup-simplify: Simplify -1 into -1 1544087861.196 * [misc]taylor: Taking taylor expansion of k in k 1544087861.196 * [misc]backup-simplify: Simplify 0 into 0 1544087861.196 * [misc]backup-simplify: Simplify 1 into 1 1544087861.196 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087861.196 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.197 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087861.197 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.197 * [misc]backup-simplify: Simplify -2 into -2 1544087861.197 * [misc]taylor: Taking taylor expansion of n in k 1544087861.197 * [misc]backup-simplify: Simplify n into n 1544087861.197 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.197 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544087861.197 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544087861.197 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544087861.197 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of k in k 1544087861.197 * [misc]backup-simplify: Simplify 0 into 0 1544087861.197 * [misc]backup-simplify: Simplify 1 into 1 1544087861.197 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.197 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.197 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.197 * [misc]backup-simplify: Simplify -2 into -2 1544087861.197 * [misc]taylor: Taking taylor expansion of n in k 1544087861.197 * [misc]backup-simplify: Simplify n into n 1544087861.198 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.198 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087861.198 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.198 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087861.198 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544087861.198 * [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)))) 1544087861.198 * [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))))) 1544087861.198 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in k 1544087861.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087861.198 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087861.198 * [misc]taylor: Taking taylor expansion of -1 in k 1544087861.198 * [misc]backup-simplify: Simplify -1 into -1 1544087861.198 * [misc]taylor: Taking taylor expansion of k in k 1544087861.198 * [misc]backup-simplify: Simplify 0 into 0 1544087861.198 * [misc]backup-simplify: Simplify 1 into 1 1544087861.198 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087861.198 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.199 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087861.199 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.199 * [misc]backup-simplify: Simplify -2 into -2 1544087861.199 * [misc]taylor: Taking taylor expansion of n in k 1544087861.199 * [misc]backup-simplify: Simplify n into n 1544087861.199 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.199 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544087861.199 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544087861.199 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544087861.199 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.199 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of k in k 1544087861.199 * [misc]backup-simplify: Simplify 0 into 0 1544087861.199 * [misc]backup-simplify: Simplify 1 into 1 1544087861.199 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.199 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.199 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.199 * [misc]backup-simplify: Simplify -2 into -2 1544087861.199 * [misc]taylor: Taking taylor expansion of n in k 1544087861.199 * [misc]backup-simplify: Simplify n into n 1544087861.199 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.199 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087861.200 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.200 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087861.200 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544087861.200 * [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)))) 1544087861.200 * [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))))) 1544087861.200 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) in n 1544087861.200 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.200 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.200 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) in n 1544087861.200 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087861.200 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.200 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.200 * [misc]backup-simplify: Simplify -2 into -2 1544087861.200 * [misc]taylor: Taking taylor expansion of n in n 1544087861.200 * [misc]backup-simplify: Simplify 0 into 0 1544087861.200 * [misc]backup-simplify: Simplify 1 into 1 1544087861.200 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.200 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.201 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087861.201 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544087861.201 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544087861.201 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.201 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544087861.201 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087861.201 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.201 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.201 * [misc]backup-simplify: Simplify -2 into -2 1544087861.201 * [misc]taylor: Taking taylor expansion of n in n 1544087861.201 * [misc]backup-simplify: Simplify 0 into 0 1544087861.201 * [misc]backup-simplify: Simplify 1 into 1 1544087861.201 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.201 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087861.201 * [misc]taylor: Taking taylor expansion of k in n 1544087861.201 * [misc]backup-simplify: Simplify k into k 1544087861.201 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.202 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.202 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544087861.202 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544087861.202 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544087861.202 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1544087861.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.204 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087861.204 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544087861.204 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544087861.205 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.205 * [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))))) 1544087861.206 * [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)))) 1544087861.206 * [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)))) 1544087861.206 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087861.207 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087861.207 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -2 n)) 0) (* 0 (exp (* 1/2 (/ (log (/ -2 n)) k))))) into 0 1544087861.207 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) (+ (* (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) (/ 0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))))))) into (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))))) 1544087861.207 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))))) in n 1544087861.208 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))))) in n 1544087861.208 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.208 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.208 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) in n 1544087861.208 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) in n 1544087861.208 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087861.208 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.208 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.208 * [misc]backup-simplify: Simplify -2 into -2 1544087861.208 * [misc]taylor: Taking taylor expansion of n in n 1544087861.208 * [misc]backup-simplify: Simplify 0 into 0 1544087861.208 * [misc]backup-simplify: Simplify 1 into 1 1544087861.208 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.208 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.209 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087861.209 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544087861.209 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544087861.209 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.209 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544087861.209 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087861.209 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.209 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.209 * [misc]backup-simplify: Simplify -2 into -2 1544087861.209 * [misc]taylor: Taking taylor expansion of n in n 1544087861.209 * [misc]backup-simplify: Simplify 0 into 0 1544087861.209 * [misc]backup-simplify: Simplify 1 into 1 1544087861.209 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.209 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087861.209 * [misc]taylor: Taking taylor expansion of k in n 1544087861.209 * [misc]backup-simplify: Simplify k into k 1544087861.210 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.210 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.210 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544087861.211 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544087861.211 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544087861.211 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1544087861.211 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.214 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087861.214 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544087861.215 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544087861.216 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.216 * [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))))) 1544087861.217 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1544087861.217 * [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)))) 1544087861.217 * [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)))))) 1544087861.218 * [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)))))) 1544087861.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.222 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544087861.223 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.223 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log -2) (log n)) k)))) into 0 1544087861.225 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.226 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.227 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087861.227 * [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))))) 1544087861.228 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) (+ (* (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) (/ (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1544087861.229 * [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)))))) 1544087861.230 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ 1 (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k)))))))))) 1544087861.230 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544087861.231 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) into (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) 1544087861.231 * [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 1544087861.231 * [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 1544087861.231 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.232 * [misc]backup-simplify: Simplify 2 into 2 1544087861.232 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.232 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.232 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.232 * [misc]taylor: Taking taylor expansion of k in n 1544087861.232 * [misc]backup-simplify: Simplify k into k 1544087861.232 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.232 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.232 * [misc]backup-simplify: Simplify 2 into 2 1544087861.232 * [misc]taylor: Taking taylor expansion of n in n 1544087861.232 * [misc]backup-simplify: Simplify 0 into 0 1544087861.232 * [misc]backup-simplify: Simplify 1 into 1 1544087861.233 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.233 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.233 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.233 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087861.233 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087861.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.234 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1544087861.234 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1544087861.234 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544087861.234 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544087861.234 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544087861.234 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544087861.234 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.234 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544087861.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.235 * [misc]taylor: Taking taylor expansion of k in n 1544087861.235 * [misc]backup-simplify: Simplify k into k 1544087861.235 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.235 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.235 * [misc]backup-simplify: Simplify PI into PI 1544087861.235 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.235 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544087861.235 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544087861.235 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544087861.236 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544087861.236 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544087861.236 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1544087861.236 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1544087861.236 * [misc]taylor: Taking taylor expansion of n in n 1544087861.236 * [misc]backup-simplify: Simplify 0 into 0 1544087861.236 * [misc]backup-simplify: Simplify 1 into 1 1544087861.236 * [misc]taylor: Taking taylor expansion of k in n 1544087861.236 * [misc]backup-simplify: Simplify k into k 1544087861.236 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.236 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.237 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1544087861.237 * [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 1544087861.237 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.237 * [misc]backup-simplify: Simplify 2 into 2 1544087861.237 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.237 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.237 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.237 * [misc]taylor: Taking taylor expansion of k in k 1544087861.237 * [misc]backup-simplify: Simplify 0 into 0 1544087861.237 * [misc]backup-simplify: Simplify 1 into 1 1544087861.237 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087861.237 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087861.238 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.238 * [misc]backup-simplify: Simplify 2 into 2 1544087861.238 * [misc]taylor: Taking taylor expansion of n in k 1544087861.238 * [misc]backup-simplify: Simplify n into n 1544087861.238 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087861.238 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087861.238 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087861.238 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.238 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544087861.238 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.238 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087861.239 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087861.240 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087861.240 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.240 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087861.240 * [misc]backup-simplify: Simplify (exp 0) into 1 1544087861.240 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087861.240 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087861.240 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087861.240 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087861.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.240 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087861.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.240 * [misc]taylor: Taking taylor expansion of k in k 1544087861.240 * [misc]backup-simplify: Simplify 0 into 0 1544087861.240 * [misc]backup-simplify: Simplify 1 into 1 1544087861.240 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087861.240 * [misc]taylor: Taking taylor expansion of PI in k 1544087861.240 * [misc]backup-simplify: Simplify PI into PI 1544087861.241 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.241 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087861.241 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.241 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087861.242 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087861.242 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087861.242 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544087861.242 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544087861.242 * [misc]taylor: Taking taylor expansion of n in k 1544087861.242 * [misc]backup-simplify: Simplify n into n 1544087861.242 * [misc]taylor: Taking taylor expansion of k in k 1544087861.242 * [misc]backup-simplify: Simplify 0 into 0 1544087861.242 * [misc]backup-simplify: Simplify 1 into 1 1544087861.243 * [misc]backup-simplify: Simplify (/ n 1) into n 1544087861.243 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.243 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544087861.243 * [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 1544087861.243 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1544087861.243 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087861.243 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.243 * [misc]backup-simplify: Simplify 2 into 2 1544087861.243 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.244 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.244 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.244 * [misc]taylor: Taking taylor expansion of k in k 1544087861.244 * [misc]backup-simplify: Simplify 0 into 0 1544087861.244 * [misc]backup-simplify: Simplify 1 into 1 1544087861.244 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544087861.244 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.244 * [misc]backup-simplify: Simplify 2 into 2 1544087861.244 * [misc]taylor: Taking taylor expansion of n in k 1544087861.244 * [misc]backup-simplify: Simplify n into n 1544087861.244 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544087861.244 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544087861.244 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087861.245 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.245 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544087861.245 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.245 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544087861.246 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544087861.246 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087861.246 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544087861.247 * [misc]backup-simplify: Simplify (exp 0) into 1 1544087861.247 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544087861.247 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544087861.247 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544087861.247 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544087861.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.247 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544087861.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.247 * [misc]taylor: Taking taylor expansion of k in k 1544087861.247 * [misc]backup-simplify: Simplify 0 into 0 1544087861.247 * [misc]backup-simplify: Simplify 1 into 1 1544087861.247 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087861.247 * [misc]taylor: Taking taylor expansion of PI in k 1544087861.247 * [misc]backup-simplify: Simplify PI into PI 1544087861.247 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.247 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544087861.248 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.248 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087861.248 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087861.249 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544087861.249 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544087861.249 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544087861.249 * [misc]taylor: Taking taylor expansion of n in k 1544087861.249 * [misc]backup-simplify: Simplify n into n 1544087861.249 * [misc]taylor: Taking taylor expansion of k in k 1544087861.249 * [misc]backup-simplify: Simplify 0 into 0 1544087861.249 * [misc]backup-simplify: Simplify 1 into 1 1544087861.249 * [misc]backup-simplify: Simplify (/ n 1) into n 1544087861.249 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.249 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544087861.250 * [misc]backup-simplify: Simplify (* 1 (pow PI 1/2)) into (sqrt PI) 1544087861.251 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt PI)) into (* (sqrt 2) (sqrt PI)) 1544087861.252 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt PI)) 0) into 0 1544087861.252 * [misc]taylor: Taking taylor expansion of 0 in n 1544087861.252 * [misc]backup-simplify: Simplify 0 into 0 1544087861.252 * [misc]backup-simplify: Simplify 0 into 0 1544087861.254 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.254 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544087861.255 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.255 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087861.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544087861.259 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544087861.259 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (log (* 2 n))) 1544087861.261 * [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))))) 1544087861.263 * [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))))) 1544087861.265 * [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)))) 1544087861.266 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))) in n 1544087861.266 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) n) (sqrt PI))) in n 1544087861.266 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.266 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.266 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) n) (sqrt PI)) in n 1544087861.266 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544087861.266 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.266 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.266 * [misc]backup-simplify: Simplify 2 into 2 1544087861.266 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.266 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.266 * [misc]taylor: Taking taylor expansion of n in n 1544087861.266 * [misc]backup-simplify: Simplify 0 into 0 1544087861.266 * [misc]backup-simplify: Simplify 1 into 1 1544087861.266 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.266 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.266 * [misc]backup-simplify: Simplify PI into PI 1544087861.267 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.267 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.267 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.268 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.268 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.268 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.268 * [misc]backup-simplify: Simplify 0 into 0 1544087861.268 * [misc]backup-simplify: Simplify 0 into 0 1544087861.269 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1544087861.269 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1544087861.273 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087861.274 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.274 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.275 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544087861.279 * [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))) 1544087861.279 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.279 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544087861.281 * [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 1544087861.281 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.281 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.281 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.281 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544087861.282 * [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)) 1544087861.285 * [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)))))) 1544087861.287 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.291 * [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))))) 1544087861.297 * [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)))))))) 1544087861.297 * [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 1544087861.297 * [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 1544087861.297 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) in n 1544087861.297 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.297 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.297 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 2)) (sqrt PI)) in n 1544087861.297 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1544087861.297 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.297 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.297 * [misc]backup-simplify: Simplify 2 into 2 1544087861.298 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.298 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.298 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.298 * [misc]taylor: Taking taylor expansion of n in n 1544087861.298 * [misc]backup-simplify: Simplify 0 into 0 1544087861.298 * [misc]backup-simplify: Simplify 1 into 1 1544087861.298 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.298 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.298 * [misc]backup-simplify: Simplify PI into PI 1544087861.298 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.299 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.299 * [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 1544087861.299 * [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 1544087861.299 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) in n 1544087861.299 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.299 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.299 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) n)) (sqrt PI)) in n 1544087861.299 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) n)) in n 1544087861.299 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.299 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.299 * [misc]backup-simplify: Simplify 2 into 2 1544087861.299 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.300 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.300 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1544087861.300 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.300 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.300 * [misc]backup-simplify: Simplify PI into PI 1544087861.300 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.300 * [misc]taylor: Taking taylor expansion of n in n 1544087861.300 * [misc]backup-simplify: Simplify 0 into 0 1544087861.300 * [misc]backup-simplify: Simplify 1 into 1 1544087861.300 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.300 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.300 * [misc]backup-simplify: Simplify PI into PI 1544087861.300 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.301 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.301 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))) in n 1544087861.301 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))) in n 1544087861.301 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.301 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.301 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)) in n 1544087861.301 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) n)) in n 1544087861.301 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.301 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.301 * [misc]backup-simplify: Simplify 2 into 2 1544087861.302 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.302 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.302 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) n) in n 1544087861.302 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.302 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.302 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.302 * [misc]backup-simplify: Simplify 2 into 2 1544087861.302 * [misc]taylor: Taking taylor expansion of n in n 1544087861.302 * [misc]backup-simplify: Simplify 0 into 0 1544087861.302 * [misc]backup-simplify: Simplify 1 into 1 1544087861.302 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.302 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.302 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.303 * [misc]taylor: Taking taylor expansion of n in n 1544087861.303 * [misc]backup-simplify: Simplify 0 into 0 1544087861.303 * [misc]backup-simplify: Simplify 1 into 1 1544087861.303 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.303 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.303 * [misc]backup-simplify: Simplify PI into PI 1544087861.303 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.304 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.304 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1544087861.305 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.305 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.305 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.306 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.306 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1544087861.306 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.306 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.307 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.307 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.307 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.307 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.307 * [misc]backup-simplify: Simplify 0 into 0 1544087861.308 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544087861.309 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (sqrt 2) (sqrt PI))) into (* (sqrt 2) (sqrt PI)) 1544087861.311 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1544087861.313 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (sqrt PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1544087861.314 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1544087861.314 * [misc]backup-simplify: Simplify 0 into 0 1544087861.315 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.315 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1544087861.323 * [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 1544087861.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087861.324 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.324 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.326 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544087861.332 * [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))) 1544087861.332 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.333 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544087861.335 * [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 1544087861.336 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.336 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.336 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544087861.336 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.337 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544087861.338 * [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)) 1544087861.343 * [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))))))) 1544087861.344 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.353 * [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))))))) 1544087861.366 * [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)))))))))))))) 1544087861.366 * [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 1544087861.366 * [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 1544087861.366 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) in n 1544087861.366 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.366 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.366 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 3)) (sqrt PI)) in n 1544087861.366 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1544087861.366 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.366 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.366 * [misc]backup-simplify: Simplify 2 into 2 1544087861.366 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.367 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.367 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544087861.367 * [misc]taylor: Taking taylor expansion of n in n 1544087861.367 * [misc]backup-simplify: Simplify 0 into 0 1544087861.367 * [misc]backup-simplify: Simplify 1 into 1 1544087861.367 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.367 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.367 * [misc]backup-simplify: Simplify PI into PI 1544087861.367 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.368 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.368 * [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 1544087861.368 * [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 1544087861.368 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) in n 1544087861.368 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.368 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.368 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI)) in n 1544087861.368 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 2))) in n 1544087861.368 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.368 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.368 * [misc]backup-simplify: Simplify 2 into 2 1544087861.368 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.369 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.369 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1544087861.369 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.369 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.369 * [misc]backup-simplify: Simplify PI into PI 1544087861.369 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.369 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.369 * [misc]taylor: Taking taylor expansion of n in n 1544087861.369 * [misc]backup-simplify: Simplify 0 into 0 1544087861.369 * [misc]backup-simplify: Simplify 1 into 1 1544087861.369 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.369 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.369 * [misc]backup-simplify: Simplify PI into PI 1544087861.369 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.370 * [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 1544087861.370 * [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 1544087861.370 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) in n 1544087861.370 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.370 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.370 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI)) in n 1544087861.370 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) in n 1544087861.370 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.370 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.370 * [misc]backup-simplify: Simplify 2 into 2 1544087861.371 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.371 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.371 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) n)) in n 1544087861.371 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.371 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.371 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.371 * [misc]backup-simplify: Simplify 2 into 2 1544087861.371 * [misc]taylor: Taking taylor expansion of n in n 1544087861.371 * [misc]backup-simplify: Simplify 0 into 0 1544087861.371 * [misc]backup-simplify: Simplify 1 into 1 1544087861.371 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.371 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.372 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.372 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1544087861.372 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.372 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.372 * [misc]backup-simplify: Simplify PI into PI 1544087861.372 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.372 * [misc]taylor: Taking taylor expansion of n in n 1544087861.372 * [misc]backup-simplify: Simplify 0 into 0 1544087861.372 * [misc]backup-simplify: Simplify 1 into 1 1544087861.372 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.372 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.372 * [misc]backup-simplify: Simplify PI into PI 1544087861.372 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.373 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.373 * [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 1544087861.373 * [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 1544087861.373 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) in n 1544087861.373 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.373 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.373 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI)) in n 1544087861.373 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) n)) in n 1544087861.373 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.373 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.373 * [misc]backup-simplify: Simplify 2 into 2 1544087861.374 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.374 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.374 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1544087861.374 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544087861.374 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.374 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.374 * [misc]backup-simplify: Simplify PI into PI 1544087861.374 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.374 * [misc]taylor: Taking taylor expansion of n in n 1544087861.374 * [misc]backup-simplify: Simplify 0 into 0 1544087861.374 * [misc]backup-simplify: Simplify 1 into 1 1544087861.374 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.374 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.374 * [misc]backup-simplify: Simplify PI into PI 1544087861.375 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.375 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.375 * [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 1544087861.375 * [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 1544087861.375 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) in n 1544087861.375 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.375 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.375 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI)) in n 1544087861.375 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) in n 1544087861.376 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.376 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.376 * [misc]backup-simplify: Simplify 2 into 2 1544087861.376 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.376 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.376 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 2)) in n 1544087861.376 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.376 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.376 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.376 * [misc]backup-simplify: Simplify 2 into 2 1544087861.376 * [misc]taylor: Taking taylor expansion of n in n 1544087861.376 * [misc]backup-simplify: Simplify 0 into 0 1544087861.376 * [misc]backup-simplify: Simplify 1 into 1 1544087861.376 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.376 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.377 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.377 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.377 * [misc]taylor: Taking taylor expansion of n in n 1544087861.377 * [misc]backup-simplify: Simplify 0 into 0 1544087861.377 * [misc]backup-simplify: Simplify 1 into 1 1544087861.377 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.377 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.377 * [misc]backup-simplify: Simplify PI into PI 1544087861.377 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.378 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.378 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))) in n 1544087861.378 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))) in n 1544087861.378 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.378 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.378 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)) in n 1544087861.378 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) in n 1544087861.378 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.378 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.378 * [misc]backup-simplify: Simplify 2 into 2 1544087861.378 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.378 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.378 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) n) in n 1544087861.378 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544087861.378 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.379 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.379 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.379 * [misc]backup-simplify: Simplify 2 into 2 1544087861.379 * [misc]taylor: Taking taylor expansion of n in n 1544087861.379 * [misc]backup-simplify: Simplify 0 into 0 1544087861.379 * [misc]backup-simplify: Simplify 1 into 1 1544087861.379 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.379 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.379 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.379 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.380 * [misc]taylor: Taking taylor expansion of n in n 1544087861.380 * [misc]backup-simplify: Simplify 0 into 0 1544087861.380 * [misc]backup-simplify: Simplify 1 into 1 1544087861.380 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.380 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.380 * [misc]backup-simplify: Simplify PI into PI 1544087861.380 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.381 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.381 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.382 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1544087861.382 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1544087861.382 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.382 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.383 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.383 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544087861.384 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1544087861.384 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.385 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.385 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.385 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.385 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.386 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544087861.386 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1544087861.386 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.387 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.387 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.387 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.387 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.387 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.387 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.388 * [misc]backup-simplify: Simplify 0 into 0 1544087861.391 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.392 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1544087861.393 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (log PI)) (* 0 0)) into (* (sqrt 2) (log PI)) 1544087861.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (log PI)) (sqrt PI))) into (* (* (sqrt 2) (log PI)) (sqrt PI)) 1544087861.397 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))) 1544087861.397 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.398 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.400 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.400 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1544087861.401 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (log 2) (log n))) (* 0 0)) into (+ (* (log 2) (sqrt 2)) (* (sqrt 2) (log n))) 1544087861.402 * [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))) 1544087861.404 * [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)))))) 1544087861.407 * [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)))))) 1544087861.411 * [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)))))))) 1544087861.415 * [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)))))))) 1544087861.419 * [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)))))))) 1544087861.424 * [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)))))))) 1544087861.428 * [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)))))))) 1544087861.430 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1544087861.431 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.431 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.433 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (* 0 (sqrt PI)))) into 0 1544087861.435 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) (sqrt PI))) (* 0 0))) into 0 1544087861.435 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.435 * [misc]backup-simplify: Simplify 0 into 0 1544087861.435 * [misc]backup-simplify: Simplify 0 into 0 1544087861.435 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.436 * [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)) 1544087861.442 * [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 1544087861.443 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544087861.443 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.444 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1544087861.450 * [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))) 1544087861.451 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.451 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1544087861.454 * [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 1544087861.454 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.454 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.454 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544087861.454 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.455 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 n))))))) into 0 1544087861.456 * [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)) 1544087861.461 * [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)))))))) 1544087861.462 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.476 * [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))))))) 1544087861.499 * [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)))))))))))))))))))))) 1544087861.499 * [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 1544087861.499 * [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 1544087861.499 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) in n 1544087861.499 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.499 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.499 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n)))) in n 1544087861.499 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.499 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.499 * [misc]backup-simplify: Simplify PI into PI 1544087861.500 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.501 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.501 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))) in n 1544087861.501 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.501 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.501 * [misc]backup-simplify: Simplify 2 into 2 1544087861.501 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.501 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.501 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (* (log PI) n)) in n 1544087861.501 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544087861.501 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.501 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.501 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.501 * [misc]backup-simplify: Simplify 2 into 2 1544087861.501 * [misc]taylor: Taking taylor expansion of n in n 1544087861.501 * [misc]backup-simplify: Simplify 0 into 0 1544087861.501 * [misc]backup-simplify: Simplify 1 into 1 1544087861.502 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.502 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.502 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.502 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.502 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1544087861.502 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.502 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.502 * [misc]backup-simplify: Simplify PI into PI 1544087861.503 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.503 * [misc]taylor: Taking taylor expansion of n in n 1544087861.503 * [misc]backup-simplify: Simplify 0 into 0 1544087861.503 * [misc]backup-simplify: Simplify 1 into 1 1544087861.503 * [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 1544087861.503 * [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 1544087861.503 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) in n 1544087861.503 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.503 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.503 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI)) in n 1544087861.503 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) in n 1544087861.503 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.503 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.503 * [misc]backup-simplify: Simplify 2 into 2 1544087861.503 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.504 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.504 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 3) n) in n 1544087861.504 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 3) in n 1544087861.504 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.504 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.504 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.504 * [misc]backup-simplify: Simplify 2 into 2 1544087861.504 * [misc]taylor: Taking taylor expansion of n in n 1544087861.504 * [misc]backup-simplify: Simplify 0 into 0 1544087861.504 * [misc]backup-simplify: Simplify 1 into 1 1544087861.504 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.504 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.504 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.505 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.505 * [misc]taylor: Taking taylor expansion of n in n 1544087861.505 * [misc]backup-simplify: Simplify 0 into 0 1544087861.505 * [misc]backup-simplify: Simplify 1 into 1 1544087861.505 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.505 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.505 * [misc]backup-simplify: Simplify PI into PI 1544087861.505 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.506 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.506 * [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 1544087861.506 * [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 1544087861.506 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) in n 1544087861.506 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.506 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.506 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 4)) (sqrt PI)) in n 1544087861.506 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 4)) in n 1544087861.506 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.506 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.506 * [misc]backup-simplify: Simplify 2 into 2 1544087861.506 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.507 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.507 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1544087861.507 * [misc]taylor: Taking taylor expansion of n in n 1544087861.507 * [misc]backup-simplify: Simplify 0 into 0 1544087861.507 * [misc]backup-simplify: Simplify 1 into 1 1544087861.507 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.507 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.507 * [misc]backup-simplify: Simplify PI into PI 1544087861.507 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.508 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.508 * [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 1544087861.508 * [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 1544087861.508 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) in n 1544087861.508 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.508 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.508 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI)) in n 1544087861.508 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) in n 1544087861.508 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.508 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.508 * [misc]backup-simplify: Simplify 2 into 2 1544087861.508 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.509 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.509 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) (pow n 2))) in n 1544087861.509 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.509 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.509 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.509 * [misc]backup-simplify: Simplify 2 into 2 1544087861.509 * [misc]taylor: Taking taylor expansion of n in n 1544087861.509 * [misc]backup-simplify: Simplify 0 into 0 1544087861.509 * [misc]backup-simplify: Simplify 1 into 1 1544087861.509 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.509 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.509 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.509 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1544087861.509 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.510 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.510 * [misc]backup-simplify: Simplify PI into PI 1544087861.510 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.510 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.510 * [misc]taylor: Taking taylor expansion of n in n 1544087861.510 * [misc]backup-simplify: Simplify 0 into 0 1544087861.510 * [misc]backup-simplify: Simplify 1 into 1 1544087861.510 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.510 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.510 * [misc]backup-simplify: Simplify PI into PI 1544087861.510 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.511 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.511 * [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 1544087861.511 * [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 1544087861.511 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) in n 1544087861.511 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.511 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.511 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI)) in n 1544087861.511 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) in n 1544087861.511 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.511 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.511 * [misc]backup-simplify: Simplify 2 into 2 1544087861.512 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.512 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.512 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (pow n 2)) in n 1544087861.512 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544087861.512 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.512 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.512 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.512 * [misc]backup-simplify: Simplify 2 into 2 1544087861.512 * [misc]taylor: Taking taylor expansion of n in n 1544087861.512 * [misc]backup-simplify: Simplify 0 into 0 1544087861.512 * [misc]backup-simplify: Simplify 1 into 1 1544087861.512 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.512 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.513 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.513 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.513 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.513 * [misc]taylor: Taking taylor expansion of n in n 1544087861.513 * [misc]backup-simplify: Simplify 0 into 0 1544087861.513 * [misc]backup-simplify: Simplify 1 into 1 1544087861.513 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.513 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.513 * [misc]backup-simplify: Simplify PI into PI 1544087861.513 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.514 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.514 * [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 1544087861.514 * [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 1544087861.514 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) in n 1544087861.514 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.514 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.514 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI)) in n 1544087861.514 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) in n 1544087861.514 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.514 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.514 * [misc]backup-simplify: Simplify 2 into 2 1544087861.515 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.515 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.515 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (pow n 2)) in n 1544087861.515 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544087861.515 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.515 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.515 * [misc]backup-simplify: Simplify PI into PI 1544087861.515 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.515 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.515 * [misc]taylor: Taking taylor expansion of n in n 1544087861.515 * [misc]backup-simplify: Simplify 0 into 0 1544087861.515 * [misc]backup-simplify: Simplify 1 into 1 1544087861.515 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.515 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.515 * [misc]backup-simplify: Simplify PI into PI 1544087861.516 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.516 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.516 * [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 1544087861.516 * [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 1544087861.517 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) in n 1544087861.517 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.517 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.517 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI)) in n 1544087861.517 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 3) n)) in n 1544087861.517 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.517 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.517 * [misc]backup-simplify: Simplify 2 into 2 1544087861.517 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.517 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.517 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 3) n) in n 1544087861.517 * [misc]taylor: Taking taylor expansion of (pow (log PI) 3) in n 1544087861.517 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.517 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.517 * [misc]backup-simplify: Simplify PI into PI 1544087861.518 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.518 * [misc]taylor: Taking taylor expansion of n in n 1544087861.518 * [misc]backup-simplify: Simplify 0 into 0 1544087861.518 * [misc]backup-simplify: Simplify 1 into 1 1544087861.518 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.518 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.518 * [misc]backup-simplify: Simplify PI into PI 1544087861.518 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.519 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.519 * [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 1544087861.519 * [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 1544087861.519 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) in n 1544087861.519 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.519 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.519 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n)))) in n 1544087861.519 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.519 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.519 * [misc]backup-simplify: Simplify PI into PI 1544087861.519 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.520 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.520 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.520 * [misc]backup-simplify: Simplify 2 into 2 1544087861.520 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.520 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.520 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (pow (log PI) 2) n)) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.520 * [misc]backup-simplify: Simplify 2 into 2 1544087861.520 * [misc]taylor: Taking taylor expansion of n in n 1544087861.520 * [misc]backup-simplify: Simplify 0 into 0 1544087861.520 * [misc]backup-simplify: Simplify 1 into 1 1544087861.520 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.520 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.520 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.520 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.520 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.520 * [misc]backup-simplify: Simplify PI into PI 1544087861.521 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.521 * [misc]taylor: Taking taylor expansion of n in n 1544087861.521 * [misc]backup-simplify: Simplify 0 into 0 1544087861.521 * [misc]backup-simplify: Simplify 1 into 1 1544087861.521 * [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 1544087861.521 * [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 1544087861.521 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.521 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.521 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI)) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 3))) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.521 * [misc]backup-simplify: Simplify 2 into 2 1544087861.521 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.521 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.521 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 3)) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.521 * [misc]backup-simplify: Simplify PI into PI 1544087861.521 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.521 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of n in n 1544087861.521 * [misc]backup-simplify: Simplify 0 into 0 1544087861.521 * [misc]backup-simplify: Simplify 1 into 1 1544087861.521 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.521 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.521 * [misc]backup-simplify: Simplify PI into PI 1544087861.522 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.522 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.522 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))) in n 1544087861.522 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))) in n 1544087861.522 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.522 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.522 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)) in n 1544087861.522 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) in n 1544087861.522 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.522 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.522 * [misc]backup-simplify: Simplify 2 into 2 1544087861.522 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.522 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.522 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 3)) in n 1544087861.522 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544087861.523 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544087861.523 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.523 * [misc]backup-simplify: Simplify 2 into 2 1544087861.523 * [misc]taylor: Taking taylor expansion of n in n 1544087861.523 * [misc]backup-simplify: Simplify 0 into 0 1544087861.523 * [misc]backup-simplify: Simplify 1 into 1 1544087861.523 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544087861.523 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544087861.523 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.523 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544087861.523 * [misc]taylor: Taking taylor expansion of n in n 1544087861.523 * [misc]backup-simplify: Simplify 0 into 0 1544087861.523 * [misc]backup-simplify: Simplify 1 into 1 1544087861.523 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544087861.523 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.523 * [misc]backup-simplify: Simplify PI into PI 1544087861.523 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544087861.524 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544087861.524 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.524 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.524 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544087861.525 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1544087861.525 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1544087861.525 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.525 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1544087861.525 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.526 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.526 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.526 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.526 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544087861.527 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (+ (log 2) (log n)) 2)) into (pow (+ (log 2) (log n)) 3) 1544087861.527 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 3) 0) into 0 1544087861.527 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.527 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.527 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.528 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544087861.528 * [misc]backup-simplify: Simplify (* (log PI) (pow (log PI) 2)) into (pow (log PI) 3) 1544087861.529 * [misc]backup-simplify: Simplify (* (pow (log PI) 3) 0) into 0 1544087861.529 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.529 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544087861.529 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.530 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.530 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544087861.530 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.531 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.532 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.533 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.533 * [misc]backup-simplify: Simplify 0 into 0 1544087861.533 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.534 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.535 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1544087861.535 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.536 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.537 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) (log PI)) (* 0 0)) into (+ (* (log 2) (log PI)) (* (log PI) (log n))) 1544087861.538 * [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)))) 1544087861.539 * [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))) 1544087861.540 * [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)))))) 1544087861.542 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.542 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (log PI))) into 0 1544087861.543 * [misc]backup-simplify: Simplify (+ (* (pow (log PI) 2) 1) (* 0 0)) into (pow (log PI) 2) 1544087861.544 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (pow (log PI) 2)) (* 0 0)) into (* (sqrt 2) (pow (log PI) 2)) 1544087861.545 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) into (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)) 1544087861.547 * [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)))) 1544087861.547 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.547 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544087861.549 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.550 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544087861.550 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544087861.551 * [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))) 1544087861.552 * [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)))))) 1544087861.554 * [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))))) 1544087861.557 * [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)))))))) 1544087861.561 * [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)))))))) 1544087861.565 * [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)))))))) 1544087861.568 * [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)))))))) 1544087861.574 * [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)))))))))) 1544087861.581 * [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)))))))))) 1544087861.591 * [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)))))))))))))) 1544087861.602 * [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)))))))))))))) 1544087861.613 * [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)))))))))))))) 1544087861.625 * [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)))))))))))))) 1544087861.636 * [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)))))))))))))) 1544087861.647 * [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)))))))))))))) 1544087861.656 * [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)))))))))))))) 1544087861.667 * [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)))))))))))))))))))))) 1544087861.667 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (* (/ (sqrt (sqrt (/ 1 k))) (sqrt (* (/ 1 n) 2))) (/ (sqrt (sqrt (/ 1 k))) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2)))))) into (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) 1544087861.667 * [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 1544087861.667 * [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 1544087861.667 * [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 1544087861.667 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.667 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.667 * [misc]backup-simplify: Simplify 2 into 2 1544087861.668 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.668 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.668 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.668 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of k in n 1544087861.668 * [misc]backup-simplify: Simplify k into k 1544087861.668 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.668 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.668 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.668 * [misc]backup-simplify: Simplify 2 into 2 1544087861.668 * [misc]taylor: Taking taylor expansion of n in n 1544087861.668 * [misc]backup-simplify: Simplify 0 into 0 1544087861.668 * [misc]backup-simplify: Simplify 1 into 1 1544087861.668 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.668 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.668 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.668 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087861.669 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.669 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.669 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.669 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087861.669 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087861.669 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087861.669 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087861.669 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.669 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.669 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.669 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.669 * [misc]taylor: Taking taylor expansion of k in n 1544087861.669 * [misc]backup-simplify: Simplify k into k 1544087861.669 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.669 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.669 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.669 * [misc]backup-simplify: Simplify PI into PI 1544087861.669 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.669 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.670 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087861.670 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087861.670 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087861.670 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087861.670 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1544087861.670 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1544087861.670 * [misc]taylor: Taking taylor expansion of k in n 1544087861.670 * [misc]backup-simplify: Simplify k into k 1544087861.670 * [misc]taylor: Taking taylor expansion of n in n 1544087861.670 * [misc]backup-simplify: Simplify 0 into 0 1544087861.670 * [misc]backup-simplify: Simplify 1 into 1 1544087861.670 * [misc]backup-simplify: Simplify (/ k 1) into k 1544087861.670 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.670 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1544087861.670 * [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 1544087861.670 * [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 1544087861.670 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.671 * [misc]backup-simplify: Simplify 2 into 2 1544087861.671 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.671 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.671 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of k in k 1544087861.671 * [misc]backup-simplify: Simplify 0 into 0 1544087861.671 * [misc]backup-simplify: Simplify 1 into 1 1544087861.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.671 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087861.671 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.671 * [misc]backup-simplify: Simplify 2 into 2 1544087861.671 * [misc]taylor: Taking taylor expansion of n in k 1544087861.671 * [misc]backup-simplify: Simplify n into n 1544087861.671 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087861.671 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087861.671 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.671 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.672 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087861.672 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544087861.672 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087861.672 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087861.672 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087861.672 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087861.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.672 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.672 * [misc]taylor: Taking taylor expansion of k in k 1544087861.672 * [misc]backup-simplify: Simplify 0 into 0 1544087861.672 * [misc]backup-simplify: Simplify 1 into 1 1544087861.672 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.672 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087861.672 * [misc]taylor: Taking taylor expansion of PI in k 1544087861.672 * [misc]backup-simplify: Simplify PI into PI 1544087861.672 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.672 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.672 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.673 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087861.673 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087861.673 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087861.673 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544087861.673 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544087861.673 * [misc]taylor: Taking taylor expansion of k in k 1544087861.673 * [misc]backup-simplify: Simplify 0 into 0 1544087861.673 * [misc]backup-simplify: Simplify 1 into 1 1544087861.673 * [misc]taylor: Taking taylor expansion of n in k 1544087861.673 * [misc]backup-simplify: Simplify n into n 1544087861.673 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544087861.673 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.673 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544087861.674 * [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 1544087861.674 * [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 1544087861.674 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.674 * [misc]backup-simplify: Simplify 2 into 2 1544087861.674 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.674 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.674 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.674 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.674 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of k in k 1544087861.674 * [misc]backup-simplify: Simplify 0 into 0 1544087861.674 * [misc]backup-simplify: Simplify 1 into 1 1544087861.674 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.674 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544087861.674 * [misc]taylor: Taking taylor expansion of 2 in k 1544087861.674 * [misc]backup-simplify: Simplify 2 into 2 1544087861.674 * [misc]taylor: Taking taylor expansion of n in k 1544087861.674 * [misc]backup-simplify: Simplify n into n 1544087861.674 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544087861.674 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544087861.674 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.675 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.675 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544087861.675 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544087861.675 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544087861.675 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544087861.675 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544087861.675 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544087861.675 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.675 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.675 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.675 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.675 * [misc]taylor: Taking taylor expansion of k in k 1544087861.675 * [misc]backup-simplify: Simplify 0 into 0 1544087861.675 * [misc]backup-simplify: Simplify 1 into 1 1544087861.675 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.675 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087861.675 * [misc]taylor: Taking taylor expansion of PI in k 1544087861.675 * [misc]backup-simplify: Simplify PI into PI 1544087861.675 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.675 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.675 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544087861.676 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544087861.676 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544087861.676 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087861.676 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544087861.676 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544087861.676 * [misc]taylor: Taking taylor expansion of k in k 1544087861.676 * [misc]backup-simplify: Simplify 0 into 0 1544087861.676 * [misc]backup-simplify: Simplify 1 into 1 1544087861.676 * [misc]taylor: Taking taylor expansion of n in k 1544087861.676 * [misc]backup-simplify: Simplify n into n 1544087861.676 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544087861.676 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.676 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544087861.677 * [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))))) 1544087861.677 * [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)))))) 1544087861.677 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1544087861.677 * [misc]taylor: Taking taylor expansion of 0 in n 1544087861.677 * [misc]backup-simplify: Simplify 0 into 0 1544087861.677 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544087861.678 * [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 1544087861.678 * [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))) 1544087861.678 * [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 1544087861.678 * [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 1544087861.678 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.678 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.678 * [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 1544087861.678 * [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 1544087861.678 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.678 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.678 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.678 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.678 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.678 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.678 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.678 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.678 * [misc]backup-simplify: Simplify 2 into 2 1544087861.678 * [misc]taylor: Taking taylor expansion of n in n 1544087861.678 * [misc]backup-simplify: Simplify 0 into 0 1544087861.678 * [misc]backup-simplify: Simplify 1 into 1 1544087861.679 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.679 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.679 * [misc]taylor: Taking taylor expansion of k in n 1544087861.679 * [misc]backup-simplify: Simplify k into k 1544087861.679 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.679 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.679 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.679 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.680 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.680 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.680 * [misc]backup-simplify: Simplify 2 into 2 1544087861.680 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.680 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.680 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.680 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.680 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of k in n 1544087861.680 * [misc]backup-simplify: Simplify k into k 1544087861.680 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.680 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.680 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.680 * [misc]backup-simplify: Simplify PI into PI 1544087861.680 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.680 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.680 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087861.681 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087861.681 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087861.681 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087861.681 * [misc]taylor: Taking taylor expansion of n in n 1544087861.681 * [misc]backup-simplify: Simplify 0 into 0 1544087861.681 * [misc]backup-simplify: Simplify 1 into 1 1544087861.681 * [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))))) 1544087861.682 * [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)))))) 1544087861.682 * [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))))) 1544087861.682 * [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)))))) 1544087861.683 * [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))))))) 1544087861.683 * [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))))))) 1544087861.683 * [misc]backup-simplify: Simplify 0 into 0 1544087861.683 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1544087861.684 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1544087861.684 * [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 1544087861.685 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.685 * [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 1544087861.685 * [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)))) 1544087861.685 * [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 1544087861.685 * [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 1544087861.685 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.686 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.686 * [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 1544087861.686 * [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 1544087861.686 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.686 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.686 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.686 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.686 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.686 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.686 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.686 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.686 * [misc]backup-simplify: Simplify 2 into 2 1544087861.686 * [misc]taylor: Taking taylor expansion of n in n 1544087861.686 * [misc]backup-simplify: Simplify 0 into 0 1544087861.686 * [misc]backup-simplify: Simplify 1 into 1 1544087861.686 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.686 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.686 * [misc]taylor: Taking taylor expansion of k in n 1544087861.686 * [misc]backup-simplify: Simplify k into k 1544087861.686 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.686 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.687 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.687 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.687 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.687 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087861.687 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.687 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.687 * [misc]backup-simplify: Simplify 2 into 2 1544087861.687 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.687 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.687 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087861.687 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087861.687 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087861.687 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087861.687 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.688 * [misc]taylor: Taking taylor expansion of k in n 1544087861.688 * [misc]backup-simplify: Simplify k into k 1544087861.688 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.688 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.688 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.688 * [misc]backup-simplify: Simplify PI into PI 1544087861.688 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.688 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.688 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087861.688 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087861.689 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087861.689 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087861.689 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544087861.689 * [misc]taylor: Taking taylor expansion of n in n 1544087861.689 * [misc]backup-simplify: Simplify 0 into 0 1544087861.689 * [misc]backup-simplify: Simplify 1 into 1 1544087861.689 * [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))))) 1544087861.690 * [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)))))) 1544087861.690 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.691 * [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))))) 1544087861.693 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.693 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.693 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.694 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.694 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544087861.696 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.696 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544087861.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087861.698 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.699 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544087861.699 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544087861.701 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.701 * [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 1544087861.701 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.702 * [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 1544087861.703 * [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 1544087861.703 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.703 * [misc]backup-simplify: Simplify 0 into 0 1544087861.705 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.706 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.706 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.706 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.707 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544087861.709 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.709 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544087861.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087861.712 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.712 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544087861.713 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544087861.714 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.715 * [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 1544087861.716 * [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 1544087861.717 * [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 1544087861.717 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.717 * [misc]backup-simplify: Simplify 0 into 0 1544087861.717 * [misc]backup-simplify: Simplify 0 into 0 1544087861.717 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544087861.717 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1544087861.718 * [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 1544087861.718 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544087861.719 * [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 1544087861.720 * [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)))) 1544087861.720 * [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 1544087861.720 * [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 1544087861.720 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.720 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.720 * [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 1544087861.720 * [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 1544087861.720 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544087861.720 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544087861.720 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544087861.720 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544087861.720 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544087861.720 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544087861.720 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544087861.721 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.721 * [misc]backup-simplify: Simplify 2 into 2 1544087861.721 * [misc]taylor: Taking taylor expansion of n in n 1544087861.721 * [misc]backup-simplify: Simplify 0 into 0 1544087861.721 * [misc]backup-simplify: Simplify 1 into 1 1544087861.721 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544087861.721 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544087861.721 * [misc]taylor: Taking taylor expansion of k in n 1544087861.721 * [misc]backup-simplify: Simplify k into k 1544087861.721 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.722 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544087861.722 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544087861.722 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544087861.722 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544087861.723 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of 2 in n 1544087861.723 * [misc]backup-simplify: Simplify 2 into 2 1544087861.723 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544087861.723 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544087861.723 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.723 * [misc]taylor: Taking taylor expansion of k in n 1544087861.723 * [misc]backup-simplify: Simplify k into k 1544087861.723 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.724 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.724 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.724 * [misc]backup-simplify: Simplify PI into PI 1544087861.724 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.724 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.724 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544087861.724 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544087861.725 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544087861.725 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544087861.725 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544087861.725 * [misc]taylor: Taking taylor expansion of n in n 1544087861.725 * [misc]backup-simplify: Simplify 0 into 0 1544087861.725 * [misc]backup-simplify: Simplify 1 into 1 1544087861.725 * [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))))) 1544087861.726 * [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)))))) 1544087861.726 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.726 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544087861.727 * [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))))) 1544087861.729 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.730 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.730 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.731 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544087861.735 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087861.735 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087861.736 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.737 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544087861.739 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.740 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.742 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.742 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544087861.742 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544087861.745 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544087861.745 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544087861.746 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544087861.747 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.748 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544087861.748 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.752 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087861.753 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.753 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1544087861.755 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.756 * [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 1544087861.756 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544087861.756 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.757 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544087861.757 * [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 1544087861.758 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544087861.758 * [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 1544087861.759 * [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 1544087861.760 * [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 1544087861.761 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.761 * [misc]backup-simplify: Simplify 0 into 0 1544087861.765 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087861.765 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.766 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087861.766 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.768 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544087861.770 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.771 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544087861.771 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544087861.772 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.776 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544087861.776 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.777 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1544087861.779 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.780 * [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 1544087861.780 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544087861.781 * [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 1544087861.782 * [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 1544087861.782 * [misc]backup-simplify: Simplify (- 0) into 0 1544087861.782 * [misc]backup-simplify: Simplify 0 into 0 1544087861.783 * [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)) 1544087861.784 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (* (/ (sqrt (sqrt (/ 1 (- k)))) (sqrt (* (/ 1 (- n)) 2))) (/ (sqrt (sqrt (/ 1 (- k)))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2)))))) into (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1544087861.784 * [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 1544087861.784 * [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 1544087861.784 * [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 1544087861.784 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087861.784 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.784 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.784 * [misc]backup-simplify: Simplify -2 into -2 1544087861.784 * [misc]taylor: Taking taylor expansion of n in n 1544087861.784 * [misc]backup-simplify: Simplify 0 into 0 1544087861.784 * [misc]backup-simplify: Simplify 1 into 1 1544087861.785 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.785 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.785 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087861.785 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087861.785 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1544087861.785 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1544087861.785 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1544087861.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.785 * [misc]taylor: Taking taylor expansion of k in n 1544087861.785 * [misc]backup-simplify: Simplify k into k 1544087861.785 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.786 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087861.786 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.786 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.786 * [misc]backup-simplify: Simplify -2 into -2 1544087861.786 * [misc]taylor: Taking taylor expansion of n in n 1544087861.786 * [misc]backup-simplify: Simplify 0 into 0 1544087861.786 * [misc]backup-simplify: Simplify 1 into 1 1544087861.786 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.786 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087861.786 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.786 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.787 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544087861.787 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544087861.787 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087861.787 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087861.787 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087861.787 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087861.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.787 * [misc]taylor: Taking taylor expansion of k in n 1544087861.787 * [misc]backup-simplify: Simplify k into k 1544087861.787 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.788 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.788 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.788 * [misc]backup-simplify: Simplify PI into PI 1544087861.788 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.788 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.788 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087861.788 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087861.789 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087861.789 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544087861.789 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544087861.789 * [misc]taylor: Taking taylor expansion of -1 in n 1544087861.789 * [misc]backup-simplify: Simplify -1 into -1 1544087861.789 * [misc]taylor: Taking taylor expansion of k in n 1544087861.789 * [misc]backup-simplify: Simplify k into k 1544087861.789 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544087861.789 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544087861.789 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544087861.789 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544087861.790 * [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))) 1544087861.790 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544087861.793 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.793 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.793 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.793 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.794 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544087861.795 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.795 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.798 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087861.798 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.798 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.798 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.799 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1544087861.800 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.800 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544087861.801 * [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))))) 1544087861.802 * [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)))) 1544087861.802 * [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 1544087861.802 * [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 1544087861.802 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.802 * [misc]backup-simplify: Simplify -2 into -2 1544087861.802 * [misc]taylor: Taking taylor expansion of n in k 1544087861.802 * [misc]backup-simplify: Simplify n into n 1544087861.802 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.802 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544087861.802 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544087861.802 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544087861.802 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.802 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.802 * [misc]taylor: Taking taylor expansion of k in k 1544087861.803 * [misc]backup-simplify: Simplify 0 into 0 1544087861.803 * [misc]backup-simplify: Simplify 1 into 1 1544087861.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.803 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087861.803 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.803 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.803 * [misc]backup-simplify: Simplify -2 into -2 1544087861.803 * [misc]taylor: Taking taylor expansion of n in k 1544087861.803 * [misc]backup-simplify: Simplify n into n 1544087861.803 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.803 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087861.803 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.803 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087861.803 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544087861.803 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087861.803 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087861.804 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087861.804 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087861.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.804 * [misc]taylor: Taking taylor expansion of k in k 1544087861.804 * [misc]backup-simplify: Simplify 0 into 0 1544087861.804 * [misc]backup-simplify: Simplify 1 into 1 1544087861.804 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.804 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087861.804 * [misc]taylor: Taking taylor expansion of PI in k 1544087861.804 * [misc]backup-simplify: Simplify PI into PI 1544087861.804 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.805 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.805 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087861.805 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087861.805 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087861.806 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087861.806 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087861.806 * [misc]taylor: Taking taylor expansion of -1 in k 1544087861.806 * [misc]backup-simplify: Simplify -1 into -1 1544087861.806 * [misc]taylor: Taking taylor expansion of k in k 1544087861.806 * [misc]backup-simplify: Simplify 0 into 0 1544087861.806 * [misc]backup-simplify: Simplify 1 into 1 1544087861.806 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087861.806 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.807 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087861.807 * [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))) 1544087861.807 * [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)))) 1544087861.808 * [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))))) 1544087861.808 * [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 1544087861.808 * [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 1544087861.808 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544087861.808 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.808 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.808 * [misc]backup-simplify: Simplify -2 into -2 1544087861.808 * [misc]taylor: Taking taylor expansion of n in k 1544087861.808 * [misc]backup-simplify: Simplify n into n 1544087861.808 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.808 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544087861.808 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544087861.808 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544087861.808 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544087861.808 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544087861.808 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544087861.808 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544087861.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.809 * [misc]taylor: Taking taylor expansion of k in k 1544087861.809 * [misc]backup-simplify: Simplify 0 into 0 1544087861.809 * [misc]backup-simplify: Simplify 1 into 1 1544087861.809 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.809 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544087861.809 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544087861.809 * [misc]taylor: Taking taylor expansion of -2 in k 1544087861.809 * [misc]backup-simplify: Simplify -2 into -2 1544087861.809 * [misc]taylor: Taking taylor expansion of n in k 1544087861.809 * [misc]backup-simplify: Simplify n into n 1544087861.809 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544087861.809 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544087861.809 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.809 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544087861.810 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544087861.810 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544087861.810 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544087861.810 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544087861.810 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544087861.810 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544087861.810 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.810 * [misc]taylor: Taking taylor expansion of k in k 1544087861.810 * [misc]backup-simplify: Simplify 0 into 0 1544087861.810 * [misc]backup-simplify: Simplify 1 into 1 1544087861.810 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.810 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544087861.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.810 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544087861.810 * [misc]taylor: Taking taylor expansion of PI in k 1544087861.810 * [misc]backup-simplify: Simplify PI into PI 1544087861.810 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.811 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544087861.811 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544087861.811 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544087861.812 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087861.812 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087861.812 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087861.812 * [misc]taylor: Taking taylor expansion of -1 in k 1544087861.812 * [misc]backup-simplify: Simplify -1 into -1 1544087861.812 * [misc]taylor: Taking taylor expansion of k in k 1544087861.812 * [misc]backup-simplify: Simplify 0 into 0 1544087861.812 * [misc]backup-simplify: Simplify 1 into 1 1544087861.812 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087861.812 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.813 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087861.813 * [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))) 1544087861.813 * [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)))) 1544087861.814 * [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))))) 1544087861.814 * [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 1544087861.814 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.814 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.814 * [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 1544087861.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087861.814 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.814 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.814 * [misc]backup-simplify: Simplify -2 into -2 1544087861.814 * [misc]taylor: Taking taylor expansion of n in n 1544087861.814 * [misc]backup-simplify: Simplify 0 into 0 1544087861.814 * [misc]backup-simplify: Simplify 1 into 1 1544087861.814 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.814 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.815 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087861.815 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087861.815 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544087861.815 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544087861.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.815 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544087861.815 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087861.815 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.815 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.815 * [misc]backup-simplify: Simplify -2 into -2 1544087861.815 * [misc]taylor: Taking taylor expansion of n in n 1544087861.815 * [misc]backup-simplify: Simplify 0 into 0 1544087861.815 * [misc]backup-simplify: Simplify 1 into 1 1544087861.815 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.816 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087861.816 * [misc]taylor: Taking taylor expansion of k in n 1544087861.816 * [misc]backup-simplify: Simplify k into k 1544087861.816 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.816 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.817 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544087861.817 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544087861.817 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544087861.817 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087861.817 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087861.817 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087861.817 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087861.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.818 * [misc]taylor: Taking taylor expansion of k in n 1544087861.818 * [misc]backup-simplify: Simplify k into k 1544087861.818 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.818 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.818 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.818 * [misc]backup-simplify: Simplify PI into PI 1544087861.818 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.818 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.818 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087861.819 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087861.819 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087861.821 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.822 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.822 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.822 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.823 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544087861.824 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.826 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087861.827 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544087861.827 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544087861.828 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.829 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544087861.829 * [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))) 1544087861.830 * [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))))) 1544087861.830 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544087861.831 * [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))))) 1544087861.831 * [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))))) 1544087861.832 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (/ -2 n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544087861.832 * [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 1544087861.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087861.833 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087861.833 * [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)))))) 1544087861.833 * [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 1544087861.833 * [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 1544087861.833 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544087861.833 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544087861.833 * [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 1544087861.833 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544087861.833 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.833 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.833 * [misc]backup-simplify: Simplify -2 into -2 1544087861.833 * [misc]taylor: Taking taylor expansion of n in n 1544087861.833 * [misc]backup-simplify: Simplify 0 into 0 1544087861.833 * [misc]backup-simplify: Simplify 1 into 1 1544087861.833 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.833 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087861.834 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544087861.834 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544087861.834 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544087861.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544087861.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.834 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544087861.834 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544087861.834 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544087861.834 * [misc]taylor: Taking taylor expansion of -2 in n 1544087861.834 * [misc]backup-simplify: Simplify -2 into -2 1544087861.834 * [misc]taylor: Taking taylor expansion of n in n 1544087861.834 * [misc]backup-simplify: Simplify 0 into 0 1544087861.834 * [misc]backup-simplify: Simplify 1 into 1 1544087861.834 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544087861.834 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544087861.834 * [misc]taylor: Taking taylor expansion of k in n 1544087861.834 * [misc]backup-simplify: Simplify k into k 1544087861.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.835 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544087861.835 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544087861.835 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544087861.835 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544087861.835 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544087861.835 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544087861.835 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544087861.835 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544087861.835 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544087861.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544087861.835 * [misc]taylor: Taking taylor expansion of k in n 1544087861.835 * [misc]backup-simplify: Simplify k into k 1544087861.835 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544087861.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544087861.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544087861.835 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544087861.835 * [misc]taylor: Taking taylor expansion of PI in n 1544087861.835 * [misc]backup-simplify: Simplify PI into PI 1544087861.836 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544087861.836 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544087861.836 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544087861.836 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544087861.836 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544087861.838 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544087861.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544087861.838 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544087861.838 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.838 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544087861.839 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.840 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.841 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544087861.841 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544087861.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544087861.842 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.843 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544087861.843 * [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))) 1544087861.843 * [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))))) 1544087861.843 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544087861.844 * [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))))) 1544087861.844 * [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))))) 1544087861.844 * [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))))) 1544087861.847 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544087861.847 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544087861.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544087861.848 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544087861.849 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.852 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544087861.852 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544087861.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log -2) (log n)) k)))) into 0 1544087861.854 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.854 * [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 1544087861.854 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544087861.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087861.855 * [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))))) 1544087861.857 * [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))))) 1544087861.857 * [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))))) 1544087861.858 * [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))))))) 1544087861.858 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) 1544087861.858 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) 1544087861.858 * [misc]approximate: Taking taylor expansion of (pow k 1/4) in (k) around 0 1544087861.858 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544087861.858 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544087861.858 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544087861.859 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087861.859 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087861.859 * [misc]taylor: Taking taylor expansion of (log k) in k 1544087861.859 * [misc]taylor: Taking taylor expansion of k in k 1544087861.859 * [misc]backup-simplify: Simplify 0 into 0 1544087861.859 * [misc]backup-simplify: Simplify 1 into 1 1544087861.859 * [misc]backup-simplify: Simplify (log 1) into 0 1544087861.859 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.859 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544087861.859 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544087861.859 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544087861.859 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544087861.859 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544087861.859 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087861.859 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087861.859 * [misc]taylor: Taking taylor expansion of (log k) in k 1544087861.859 * [misc]taylor: Taking taylor expansion of k in k 1544087861.859 * [misc]backup-simplify: Simplify 0 into 0 1544087861.859 * [misc]backup-simplify: Simplify 1 into 1 1544087861.859 * [misc]backup-simplify: Simplify (log 1) into 0 1544087861.859 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.859 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544087861.860 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544087861.860 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1544087861.862 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544087861.862 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.863 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544087861.864 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.864 * [misc]backup-simplify: Simplify 0 into 0 1544087861.868 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544087861.869 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.869 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544087861.871 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.871 * [misc]backup-simplify: Simplify 0 into 0 1544087861.877 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544087861.877 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.878 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1544087861.881 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087861.881 * [misc]backup-simplify: Simplify 0 into 0 1544087861.891 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1544087861.892 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.892 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 1544087861.897 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.897 * [misc]backup-simplify: Simplify 0 into 0 1544087861.914 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1544087861.914 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.915 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 1544087861.923 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087861.923 * [misc]backup-simplify: Simplify 0 into 0 1544087861.948 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1544087861.949 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544087861.950 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 1544087861.961 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.961 * [misc]backup-simplify: Simplify 0 into 0 1544087861.961 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1544087861.961 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) 1544087861.961 * [misc]approximate: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 1544087861.961 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544087861.961 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544087861.961 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544087861.961 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087861.961 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087861.961 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544087861.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.961 * [misc]taylor: Taking taylor expansion of k in k 1544087861.961 * [misc]backup-simplify: Simplify 0 into 0 1544087861.961 * [misc]backup-simplify: Simplify 1 into 1 1544087861.961 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.962 * [misc]backup-simplify: Simplify (log 1) into 0 1544087861.962 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087861.962 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544087861.962 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544087861.962 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544087861.962 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544087861.962 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544087861.962 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544087861.962 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544087861.962 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544087861.962 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544087861.962 * [misc]taylor: Taking taylor expansion of k in k 1544087861.962 * [misc]backup-simplify: Simplify 0 into 0 1544087861.962 * [misc]backup-simplify: Simplify 1 into 1 1544087861.962 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544087861.962 * [misc]backup-simplify: Simplify (log 1) into 0 1544087861.962 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087861.962 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544087861.962 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544087861.963 * [misc]backup-simplify: Simplify (pow k -1/4) into (pow k -1/4) 1544087861.963 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544087861.964 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544087861.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087861.965 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1544087861.965 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544087861.965 * [misc]backup-simplify: Simplify 0 into 0 1544087861.965 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.968 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544087861.968 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087861.968 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1544087861.970 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.970 * [misc]backup-simplify: Simplify 0 into 0 1544087861.970 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.974 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544087861.974 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087861.974 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1544087861.976 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087861.976 * [misc]backup-simplify: Simplify 0 into 0 1544087861.976 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.983 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1544087861.983 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087861.983 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 1544087861.987 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087861.988 * [misc]backup-simplify: Simplify 0 into 0 1544087861.988 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087861.997 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1544087861.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087861.998 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 1544087862.003 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544087862.003 * [misc]backup-simplify: Simplify 0 into 0 1544087862.003 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087862.018 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1544087862.018 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544087862.019 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 1544087862.027 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544087862.027 * [misc]backup-simplify: Simplify 0 into 0 1544087862.027 * [misc]backup-simplify: Simplify (pow (/ 1 k) -1/4) into (pow (/ 1 k) -1/4) 1544087862.027 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 (- k)))) into (sqrt (sqrt (/ -1 k))) 1544087862.027 * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in (k) around 0 1544087862.027 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544087862.027 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087862.027 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087862.027 * [misc]taylor: Taking taylor expansion of -1 in k 1544087862.027 * [misc]backup-simplify: Simplify -1 into -1 1544087862.027 * [misc]taylor: Taking taylor expansion of k in k 1544087862.027 * [misc]backup-simplify: Simplify 0 into 0 1544087862.027 * [misc]backup-simplify: Simplify 1 into 1 1544087862.027 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087862.027 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087862.028 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087862.028 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544087862.028 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087862.029 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087862.029 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544087862.029 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544087862.029 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544087862.029 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544087862.029 * [misc]taylor: Taking taylor expansion of -1 in k 1544087862.029 * [misc]backup-simplify: Simplify -1 into -1 1544087862.029 * [misc]taylor: Taking taylor expansion of k in k 1544087862.029 * [misc]backup-simplify: Simplify 0 into 0 1544087862.029 * [misc]backup-simplify: Simplify 1 into 1 1544087862.029 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544087862.029 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544087862.030 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544087862.030 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544087862.030 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544087862.031 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544087862.031 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544087862.031 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544087862.031 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 1544087862.031 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544087862.032 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544087862.033 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1544087862.035 * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1544087862.037 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- k)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- k))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1544087862.037 * * * [misc]progress: simplifying candidates 1544087862.037 * * * * [misc]progress: [ 1 / 195 ] simplifiying candidate # 1544087862.037 * * * * [misc]progress: [ 2 / 195 ] simplifiying candidate # 1544087862.037 * [enter]simplify: Simplifying (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) 1544087862.037 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.038 * * [misc]simplify: iters left: 5 (13 enodes) 1544087862.040 * * [misc]simplify: iters left: 4 (14 enodes) 1544087862.042 * [exit]simplify: Simplified to (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) 1544087862.042 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (exp (- (log (sqrt (sqrt k))) (log (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.042 * * * * [misc]progress: [ 3 / 195 ] simplifiying candidate # 1544087862.042 * * * * [misc]progress: [ 4 / 195 ] simplifiying candidate # 1544087862.042 * * * * [misc]progress: [ 5 / 195 ] simplifiying candidate # 1544087862.042 * [enter]simplify: Simplifying (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) 1544087862.042 * * [misc]simplify: iters left: 6 (12 enodes) 1544087862.044 * * [misc]simplify: iters left: 5 (22 enodes) 1544087862.049 * * [misc]simplify: iters left: 4 (72 enodes) 1544087862.065 * * [misc]simplify: iters left: 3 (220 enodes) 1544087862.177 * * [misc]simplify: iters left: 2 (442 enodes) 1544087862.445 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (/ (* n 2) (sqrt k)) (sqrt (* n 2)))) 1544087862.445 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt (sqrt k)) (* (/ (* n 2) (sqrt k)) (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.446 * * * * [misc]progress: [ 6 / 195 ] simplifiying candidate # 1544087862.446 * * * * [misc]progress: [ 7 / 195 ] simplifiying candidate # 1544087862.446 * * * * [misc]progress: [ 8 / 195 ] simplifiying candidate # 1544087862.446 * [enter]simplify: Simplifying (/ (sqrt k) (* n 2)) 1544087862.446 * * [misc]simplify: iters left: 4 (6 enodes) 1544087862.447 * * [misc]simplify: iters left: 3 (9 enodes) 1544087862.448 * [exit]simplify: Simplified to (/ (sqrt k) (* n 2)) 1544087862.448 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (/ (sqrt k) (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.448 * * * * [misc]progress: [ 9 / 195 ] simplifiying candidate # 1544087862.448 * * * * [misc]progress: [ 10 / 195 ] simplifiying candidate # 1544087862.448 * * * * [misc]progress: [ 11 / 195 ] simplifiying candidate # 1544087862.448 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.448 * * [misc]simplify: iters left: 6 (12 enodes) 1544087862.450 * * [misc]simplify: iters left: 5 (19 enodes) 1544087862.453 * * [misc]simplify: iters left: 4 (28 enodes) 1544087862.457 * * [misc]simplify: iters left: 3 (31 enodes) 1544087862.461 * * [misc]simplify: iters left: 2 (34 enodes) 1544087862.465 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) 1544087862.465 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.465 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.465 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.467 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.468 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.468 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.468 * * * * [misc]progress: [ 12 / 195 ] simplifiying candidate # 1544087862.468 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt n)) 1544087862.468 * * [misc]simplify: iters left: 6 (8 enodes) 1544087862.470 * * [misc]simplify: iters left: 5 (10 enodes) 1544087862.471 * * [misc]simplify: iters left: 4 (12 enodes) 1544087862.474 * * [misc]simplify: iters left: 3 (13 enodes) 1544087862.477 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1544087862.478 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.478 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) 1544087862.478 * * [misc]simplify: iters left: 5 (7 enodes) 1544087862.480 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) 1544087862.480 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt n)) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.481 * * * * [misc]progress: [ 13 / 195 ] simplifiying candidate # 1544087862.481 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544087862.481 * * [misc]simplify: iters left: 6 (11 enodes) 1544087862.484 * * [misc]simplify: iters left: 5 (14 enodes) 1544087862.488 * * [misc]simplify: iters left: 4 (16 enodes) 1544087862.492 * * [misc]simplify: iters left: 3 (17 enodes) 1544087862.496 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) 1544087862.496 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.496 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.496 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.498 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.499 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.499 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.499 * * * * [misc]progress: [ 14 / 195 ] simplifiying candidate # 1544087862.499 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1) 1544087862.499 * * [misc]simplify: iters left: 6 (7 enodes) 1544087862.500 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.502 * * [misc]simplify: iters left: 4 (17 enodes) 1544087862.504 * * [misc]simplify: iters left: 3 (31 enodes) 1544087862.510 * * [misc]simplify: iters left: 2 (57 enodes) 1544087862.518 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544087862.518 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.518 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544087862.518 * * [misc]simplify: iters left: 5 (9 enodes) 1544087862.519 * * [misc]simplify: iters left: 4 (10 enodes) 1544087862.520 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544087862.521 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.521 * * * * [misc]progress: [ 15 / 195 ] simplifiying candidate # 1544087862.521 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.521 * * [misc]simplify: iters left: 6 (12 enodes) 1544087862.523 * * [misc]simplify: iters left: 5 (16 enodes) 1544087862.525 * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544087862.525 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.525 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.525 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.526 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.528 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.528 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.528 * * * * [misc]progress: [ 16 / 195 ] simplifiying candidate # 1544087862.528 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt n)) 1544087862.528 * * [misc]simplify: iters left: 6 (8 enodes) 1544087862.529 * * [misc]simplify: iters left: 5 (9 enodes) 1544087862.530 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt n)) 1544087862.530 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt n)) (/ (sqrt (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.530 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt 2)) 1544087862.530 * * [misc]simplify: iters left: 5 (7 enodes) 1544087862.532 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt 2)) 1544087862.532 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt n)) (/ (sqrt (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.532 * * * * [misc]progress: [ 17 / 195 ] simplifiying candidate # 1544087862.532 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544087862.532 * * [misc]simplify: iters left: 6 (11 enodes) 1544087862.534 * * [misc]simplify: iters left: 5 (13 enodes) 1544087862.535 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.535 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.536 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.536 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.539 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.541 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.541 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.542 * * * * [misc]progress: [ 18 / 195 ] simplifiying candidate # 1544087862.542 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1544087862.542 * * [misc]simplify: iters left: 6 (7 enodes) 1544087862.544 * * [misc]simplify: iters left: 5 (10 enodes) 1544087862.546 * * [misc]simplify: iters left: 4 (12 enodes) 1544087862.549 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544087862.549 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (fabs (cbrt (sqrt k))) (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.549 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2))) 1544087862.549 * * [misc]simplify: iters left: 5 (9 enodes) 1544087862.551 * * [misc]simplify: iters left: 4 (10 enodes) 1544087862.553 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2))) 1544087862.553 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (fabs (cbrt (sqrt k))) (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.553 * * * * [misc]progress: [ 19 / 195 ] simplifiying candidate # 1544087862.553 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.553 * * [misc]simplify: iters left: 6 (11 enodes) 1544087862.555 * * [misc]simplify: iters left: 5 (14 enodes) 1544087862.557 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.557 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.557 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.557 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.558 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.560 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.560 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.560 * * * * [misc]progress: [ 20 / 195 ] simplifiying candidate # 1544087862.560 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087862.560 * * [misc]simplify: iters left: 5 (7 enodes) 1544087862.561 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087862.561 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.561 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544087862.561 * * [misc]simplify: iters left: 5 (7 enodes) 1544087862.563 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544087862.563 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.563 * * * * [misc]progress: [ 21 / 195 ] simplifiying candidate # 1544087862.563 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.563 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.564 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.566 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.566 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.566 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.566 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.567 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.569 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.569 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.569 * * * * [misc]progress: [ 22 / 195 ] simplifiying candidate # 1544087862.569 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544087862.569 * * [misc]simplify: iters left: 5 (6 enodes) 1544087862.570 * * [misc]simplify: iters left: 4 (8 enodes) 1544087862.571 * * [misc]simplify: iters left: 3 (10 enodes) 1544087862.572 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544087862.572 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.572 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544087862.572 * * [misc]simplify: iters left: 5 (9 enodes) 1544087862.573 * * [misc]simplify: iters left: 4 (10 enodes) 1544087862.575 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544087862.575 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.575 * * * * [misc]progress: [ 23 / 195 ] simplifiying candidate # 1544087862.575 * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.575 * * [misc]simplify: iters left: 6 (9 enodes) 1544087862.577 * * [misc]simplify: iters left: 5 (14 enodes) 1544087862.578 * * [misc]simplify: iters left: 4 (15 enodes) 1544087862.580 * * [misc]simplify: iters left: 3 (17 enodes) 1544087862.582 * * [misc]simplify: iters left: 2 (18 enodes) 1544087862.584 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544087862.584 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.585 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544087862.585 * * [misc]simplify: iters left: 6 (9 enodes) 1544087862.586 * * [misc]simplify: iters left: 5 (10 enodes) 1544087862.587 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544087862.587 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.587 * * * * [misc]progress: [ 24 / 195 ] simplifiying candidate # 1544087862.588 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt n)) 1544087862.588 * * [misc]simplify: iters left: 3 (5 enodes) 1544087862.590 * * [misc]simplify: iters left: 2 (7 enodes) 1544087862.591 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544087862.591 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.591 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt 2)) 1544087862.591 * * [misc]simplify: iters left: 4 (6 enodes) 1544087862.593 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1544087862.594 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.594 * * * * [misc]progress: [ 25 / 195 ] simplifiying candidate # 1544087862.594 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (* n 2)))) 1544087862.594 * * [misc]simplify: iters left: 6 (8 enodes) 1544087862.598 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.600 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* n 2)))) 1544087862.600 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.601 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544087862.601 * * [misc]simplify: iters left: 6 (9 enodes) 1544087862.603 * * [misc]simplify: iters left: 5 (10 enodes) 1544087862.606 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544087862.606 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.606 * * * * [misc]progress: [ 26 / 195 ] simplifiying candidate # 1544087862.606 * [enter]simplify: Simplifying (/ (sqrt 1) 1) 1544087862.606 * * [misc]simplify: iters left: 3 (3 enodes) 1544087862.608 * * [misc]simplify: iters left: 2 (5 enodes) 1544087862.609 * [exit]simplify: Simplified to 1 1544087862.609 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.609 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087862.609 * * [misc]simplify: iters left: 5 (8 enodes) 1544087862.611 * * [misc]simplify: iters left: 4 (9 enodes) 1544087862.614 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087862.614 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.614 * * * * [misc]progress: [ 27 / 195 ] simplifiying candidate # 1544087862.614 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.614 * * [misc]simplify: iters left: 6 (11 enodes) 1544087862.618 * * [misc]simplify: iters left: 5 (14 enodes) 1544087862.620 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.620 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.620 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.621 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.622 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.623 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544087862.623 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.623 * * * * [misc]progress: [ 28 / 195 ] simplifiying candidate # 1544087862.623 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087862.624 * * [misc]simplify: iters left: 5 (7 enodes) 1544087862.624 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087862.624 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.625 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544087862.625 * * [misc]simplify: iters left: 5 (7 enodes) 1544087862.626 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544087862.626 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.626 * * * * [misc]progress: [ 29 / 195 ] simplifiying candidate # 1544087862.626 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.626 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.628 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.629 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.629 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.629 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.629 * * [misc]simplify: iters left: 6 (10 enodes) 1544087862.630 * * [misc]simplify: iters left: 5 (11 enodes) 1544087862.632 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087862.632 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.632 * * * * [misc]progress: [ 30 / 195 ] simplifiying candidate # 1544087862.632 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544087862.632 * * [misc]simplify: iters left: 5 (6 enodes) 1544087862.633 * * [misc]simplify: iters left: 4 (8 enodes) 1544087862.634 * * [misc]simplify: iters left: 3 (10 enodes) 1544087862.635 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544087862.635 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.635 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544087862.635 * * [misc]simplify: iters left: 5 (9 enodes) 1544087862.637 * * [misc]simplify: iters left: 4 (10 enodes) 1544087862.638 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544087862.638 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.638 * * * * [misc]progress: [ 31 / 195 ] simplifiying candidate # 1544087862.638 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087862.638 * * [misc]simplify: iters left: 6 (8 enodes) 1544087862.639 * * [misc]simplify: iters left: 5 (13 enodes) 1544087862.641 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1544087862.641 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.641 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544087862.641 * * [misc]simplify: iters left: 6 (9 enodes) 1544087862.642 * * [misc]simplify: iters left: 5 (10 enodes) 1544087862.644 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544087862.644 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.644 * * * * [misc]progress: [ 32 / 195 ] simplifiying candidate # 1544087862.645 * [enter]simplify: Simplifying (/ 1 (sqrt n)) 1544087862.645 * * [misc]simplify: iters left: 3 (4 enodes) 1544087862.646 * * [misc]simplify: iters left: 2 (6 enodes) 1544087862.647 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544087862.647 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.648 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt 2)) 1544087862.648 * * [misc]simplify: iters left: 4 (6 enodes) 1544087862.650 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1544087862.650 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.650 * * * * [misc]progress: [ 33 / 195 ] simplifiying candidate # 1544087862.650 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* n 2)))) 1544087862.651 * * [misc]simplify: iters left: 6 (7 enodes) 1544087862.652 * * [misc]simplify: iters left: 5 (10 enodes) 1544087862.655 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1544087862.655 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* 2 n)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.655 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544087862.655 * * [misc]simplify: iters left: 6 (9 enodes) 1544087862.658 * * [misc]simplify: iters left: 5 (10 enodes) 1544087862.661 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544087862.661 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.661 * * * * [misc]progress: [ 34 / 195 ] simplifiying candidate # 1544087862.661 * [enter]simplify: Simplifying (/ 1 1) 1544087862.661 * * [misc]simplify: iters left: 2 (2 enodes) 1544087862.662 * * [misc]simplify: iters left: 1 (4 enodes) 1544087862.663 * [exit]simplify: Simplified to 1 1544087862.663 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.663 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087862.663 * * [misc]simplify: iters left: 5 (8 enodes) 1544087862.666 * * [misc]simplify: iters left: 4 (9 enodes) 1544087862.668 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544087862.668 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.668 * * * * [misc]progress: [ 35 / 195 ] simplifiying candidate # 1544087862.668 * * * * [misc]progress: [ 36 / 195 ] simplifiying candidate # 1544087862.668 * * * * [misc]progress: [ 37 / 195 ] simplifiying candidate # 1544087862.668 * * * * [misc]progress: [ 38 / 195 ] simplifiying candidate # 1544087862.669 * [enter]simplify: Simplifying (cbrt (sqrt (* n 2))) 1544087862.669 * * [misc]simplify: iters left: 4 (5 enodes) 1544087862.670 * * [misc]simplify: iters left: 3 (6 enodes) 1544087862.672 * [exit]simplify: Simplified to (cbrt (sqrt (* n 2))) 1544087862.672 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.672 * * * * [misc]progress: [ 39 / 195 ] simplifiying candidate # 1544087862.672 * [enter]simplify: Simplifying (sqrt 2) 1544087862.672 * * [misc]simplify: iters left: 1 (2 enodes) 1544087862.673 * [exit]simplify: Simplified to (sqrt 2) 1544087862.673 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (sqrt n)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.673 * * * * [misc]progress: [ 40 / 195 ] simplifiying candidate # 1544087862.674 * [enter]simplify: Simplifying (sqrt (sqrt (* n 2))) 1544087862.674 * * [misc]simplify: iters left: 4 (5 enodes) 1544087862.675 * * [misc]simplify: iters left: 3 (6 enodes) 1544087862.677 * [exit]simplify: Simplified to (sqrt (sqrt (* n 2))) 1544087862.677 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.677 * * * * [misc]progress: [ 41 / 195 ] simplifiying candidate # 1544087862.677 * [enter]simplify: Simplifying (sqrt (* n 2)) 1544087862.677 * * [misc]simplify: iters left: 3 (4 enodes) 1544087862.678 * * [misc]simplify: iters left: 2 (5 enodes) 1544087862.680 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544087862.680 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) 1) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.680 * * * * [misc]progress: [ 42 / 195 ] simplifiying candidate # 1544087862.680 * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544087862.680 * * [misc]simplify: iters left: 5 (5 enodes) 1544087862.682 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544087862.682 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (* n 2)) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.682 * * * * [misc]progress: [ 43 / 195 ] simplifiying candidate # 1544087862.682 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087862.682 * * [misc]simplify: iters left: 5 (5 enodes) 1544087862.684 * * [misc]simplify: iters left: 4 (6 enodes) 1544087862.685 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544087862.685 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (/ (sqrt (* n 2)) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.685 * * * * [misc]progress: [ 44 / 195 ] simplifiying candidate # 1544087862.686 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544087862.686 * * [misc]simplify: iters left: 3 (4 enodes) 1544087862.687 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544087862.687 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (/ (sqrt (* n 2)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.687 * * * * [misc]progress: [ 45 / 195 ] simplifiying candidate # 1544087862.687 * [enter]simplify: Simplifying (sqrt 1) 1544087862.687 * * [misc]simplify: iters left: 1 (2 enodes) 1544087862.688 * [exit]simplify: Simplified to 1 1544087862.688 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.688 * * * * [misc]progress: [ 46 / 195 ] simplifiying candidate # 1544087862.688 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544087862.689 * * [misc]simplify: iters left: 3 (4 enodes) 1544087862.690 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544087862.690 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (/ (sqrt (* n 2)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087862.690 * * * * [misc]progress: [ 47 / 195 ] simplifiying candidate # 1544087862.690 * * * * [misc]progress: [ 48 / 195 ] simplifiying candidate # 1544087862.690 * [enter]simplify: Simplifying (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087862.690 * * [misc]simplify: iters left: 6 (13 enodes) 1544087862.694 * * [misc]simplify: iters left: 5 (21 enodes) 1544087862.700 * * [misc]simplify: iters left: 4 (32 enodes) 1544087862.706 * * [misc]simplify: iters left: 3 (44 enodes) 1544087862.712 * * [misc]simplify: iters left: 2 (53 enodes) 1544087862.719 * * [misc]simplify: iters left: 1 (56 enodes) 1544087862.726 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (/ (- k) 2))) 1544087862.726 * [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))) 1544087862.726 * * * * [misc]progress: [ 49 / 195 ] simplifiying candidate # 1544087862.726 * * * * [misc]progress: [ 50 / 195 ] simplifiying candidate # 1544087862.727 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544087862.727 * * [misc]simplify: iters left: 6 (16 enodes) 1544087862.730 * * [misc]simplify: iters left: 5 (34 enodes) 1544087862.740 * * [misc]simplify: iters left: 4 (78 enodes) 1544087862.772 * * [misc]simplify: iters left: 3 (206 enodes) 1544087862.826 * * [misc]simplify: iters left: 2 (456 enodes) 1544087863.018 * [exit]simplify: Simplified to (+ (- (* (/ k 2) (log (* n 2))) (log (sqrt (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544087863.018 * [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 (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544087863.018 * * * * [misc]progress: [ 51 / 195 ] simplifiying candidate # 1544087863.018 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544087863.018 * * [misc]simplify: iters left: 6 (16 enodes) 1544087863.022 * * [misc]simplify: iters left: 5 (34 enodes) 1544087863.034 * * [misc]simplify: iters left: 4 (78 enodes) 1544087863.066 * * [misc]simplify: iters left: 3 (206 enodes) 1544087863.166 * * [misc]simplify: iters left: 2 (456 enodes) 1544087863.406 * [exit]simplify: Simplified to (+ (- (* (/ k 2) (log (* n 2))) (log (sqrt (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544087863.407 * [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 (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544087863.407 * * * * [misc]progress: [ 52 / 195 ] simplifiying candidate # 1544087863.408 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2)))))) 1544087863.408 * * [misc]simplify: iters left: 6 (16 enodes) 1544087863.413 * * [misc]simplify: iters left: 5 (30 enodes) 1544087863.423 * * [misc]simplify: iters left: 4 (65 enodes) 1544087863.446 * * [misc]simplify: iters left: 3 (154 enodes) 1544087863.553 * * [misc]simplify: iters left: 2 (490 enodes) 1544087863.755 * [exit]simplify: Simplified to (- (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) 1544087863.755 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544087863.755 * * * * [misc]progress: [ 53 / 195 ] simplifiying candidate # 1544087863.755 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544087863.755 * * [misc]simplify: iters left: 6 (16 enodes) 1544087863.758 * * [misc]simplify: iters left: 5 (26 enodes) 1544087863.762 * * [misc]simplify: iters left: 4 (46 enodes) 1544087863.771 * * [misc]simplify: iters left: 3 (95 enodes) 1544087863.808 * * [misc]simplify: iters left: 2 (202 enodes) 1544087863.887 * [exit]simplify: Simplified to (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) 1544087863.887 * [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 (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544087863.887 * * * * [misc]progress: [ 54 / 195 ] simplifiying candidate # 1544087863.887 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544087863.887 * * [misc]simplify: iters left: 6 (16 enodes) 1544087863.890 * * [misc]simplify: iters left: 5 (32 enodes) 1544087863.904 * * [misc]simplify: iters left: 4 (69 enodes) 1544087863.932 * * [misc]simplify: iters left: 3 (185 enodes) 1544087864.008 * * [misc]simplify: iters left: 2 (399 enodes) 1544087864.174 * [exit]simplify: Simplified to (- (+ (log (sqrt (sqrt k))) (* (/ k 2) (log (* n 2)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) 1544087864.174 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (log (sqrt (sqrt k))) (* (/ k 2) (log (* n 2)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544087864.174 * * * * [misc]progress: [ 55 / 195 ] simplifiying candidate # 1544087864.175 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544087864.175 * * [misc]simplify: iters left: 6 (16 enodes) 1544087864.178 * * [misc]simplify: iters left: 5 (32 enodes) 1544087864.183 * * [misc]simplify: iters left: 4 (69 enodes) 1544087864.198 * * [misc]simplify: iters left: 3 (185 enodes) 1544087864.268 * * [misc]simplify: iters left: 2 (399 enodes) 1544087864.412 * [exit]simplify: Simplified to (- (+ (log (sqrt (sqrt k))) (* (/ k 2) (log (* n 2)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) 1544087864.412 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (log (sqrt (sqrt k))) (* (/ k 2) (log (* n 2)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544087864.413 * * * * [misc]progress: [ 56 / 195 ] simplifiying candidate # 1544087864.413 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2)))))) 1544087864.413 * * [misc]simplify: iters left: 6 (16 enodes) 1544087864.415 * * [misc]simplify: iters left: 5 (28 enodes) 1544087864.420 * * [misc]simplify: iters left: 4 (56 enodes) 1544087864.431 * * [misc]simplify: iters left: 3 (137 enodes) 1544087864.482 * * [misc]simplify: iters left: 2 (400 enodes) 1544087864.638 * [exit]simplify: Simplified to (+ (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))) (- (* (log (* n 2)) (/ k 2)) (log (sqrt (* n 2))))) 1544087864.638 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))) (- (* (log (* n 2)) (/ k 2)) (log (sqrt (* n 2)))))))) 1544087864.638 * * * * [misc]progress: [ 57 / 195 ] simplifiying candidate # 1544087864.639 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544087864.639 * * [misc]simplify: iters left: 6 (15 enodes) 1544087864.643 * * [misc]simplify: iters left: 5 (24 enodes) 1544087864.650 * * [misc]simplify: iters left: 4 (38 enodes) 1544087864.662 * * [misc]simplify: iters left: 3 (79 enodes) 1544087864.682 * * [misc]simplify: iters left: 2 (173 enodes) 1544087864.737 * * [misc]simplify: iters left: 1 (474 enodes) 1544087864.903 * [exit]simplify: Simplified to (+ (+ (log (sqrt (sqrt k))) (* (/ k 2) (log (* n 2)))) (log (/ (sqrt (sqrt k)) (sqrt (* n 2))))) 1544087864.903 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (+ (log (sqrt (sqrt k))) (* (/ k 2) (log (* n 2)))) (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))))))) 1544087864.904 * * * * [misc]progress: [ 58 / 195 ] simplifiying candidate # 1544087864.905 * * * * [misc]progress: [ 59 / 195 ] simplifiying candidate # 1544087864.905 * * * * [misc]progress: [ 60 / 195 ] simplifiying candidate # 1544087864.905 * [enter]simplify: Simplifying (* (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2)))))) 1544087864.906 * * [misc]simplify: iters left: 6 (19 enodes) 1544087864.913 * * [misc]simplify: iters left: 5 (44 enodes) 1544087864.933 * * [misc]simplify: iters left: 4 (189 enodes) 1544087865.157 * [exit]simplify: Simplified to (/ (/ (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2))))) 1544087865.157 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))))))) 1544087865.157 * * * * [misc]progress: [ 61 / 195 ] simplifiying candidate # 1544087865.157 * [enter]simplify: Simplifying (* (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544087865.157 * * [misc]simplify: iters left: 6 (19 enodes) 1544087865.161 * * [misc]simplify: iters left: 5 (43 enodes) 1544087865.170 * * [misc]simplify: iters left: 4 (164 enodes) 1544087865.324 * [exit]simplify: Simplified to (* (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))))) 1544087865.324 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2))))))))) 1544087865.324 * * * * [misc]progress: [ 62 / 195 ] simplifiying candidate # 1544087865.324 * [enter]simplify: Simplifying (* (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2)))))) 1544087865.325 * * [misc]simplify: iters left: 6 (19 enodes) 1544087865.331 * * [misc]simplify: iters left: 5 (43 enodes) 1544087865.343 * * [misc]simplify: iters left: 4 (146 enodes) 1544087865.447 * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt k) (sqrt (* n 2))) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (sqrt (* n 2))) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))))) 1544087865.447 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (/ (/ (/ (sqrt k) (sqrt (* n 2))) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (sqrt (* n 2))) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2))))))))) 1544087865.448 * * * * [misc]progress: [ 63 / 195 ] simplifiying candidate # 1544087865.448 * [enter]simplify: Simplifying (* (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544087865.448 * * [misc]simplify: iters left: 6 (17 enodes) 1544087865.457 * * [misc]simplify: iters left: 5 (39 enodes) 1544087865.471 * * [misc]simplify: iters left: 4 (113 enodes) 1544087865.517 * * [misc]simplify: iters left: 3 (370 enodes) 1544087865.892 * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (* n 2)) (sqrt k)) (pow (* n 2) (- (/ k 2))))) (pow (* n 2) (- (/ k 2)))) 1544087865.892 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (* (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (* n 2)) (sqrt k)) (pow (* n 2) (- (/ k 2))))) (pow (* n 2) (- (/ k 2))))))) 1544087865.892 * * * * [misc]progress: [ 64 / 195 ] simplifiying candidate # 1544087865.893 * * * * [misc]progress: [ 65 / 195 ] simplifiying candidate # 1544087865.893 * * * * [misc]progress: [ 66 / 195 ] simplifiying candidate # 1544087865.893 * * * * [misc]progress: [ 67 / 195 ] simplifiying candidate # 1544087865.893 * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k))) 1544087865.893 * * [misc]simplify: iters left: 4 (4 enodes) 1544087865.893 * [exit]simplify: Simplified to (sqrt k) 1544087865.893 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (* n 2)) (pow (* n 2) (- (/ k 2))))))) 1544087865.894 * [enter]simplify: Simplifying (* (sqrt (* n 2)) (pow (* n 2) (- (/ k 2)))) 1544087865.894 * * [misc]simplify: iters left: 6 (9 enodes) 1544087865.895 * * [misc]simplify: iters left: 5 (13 enodes) 1544087865.897 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2))) 1544087865.897 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2)))))) 1544087865.897 * * * * [misc]progress: [ 68 / 195 ] simplifiying candidate # 1544087865.897 * * * * [misc]progress: [ 69 / 195 ] simplifiying candidate # 1544087865.897 * [enter]simplify: Simplifying (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087865.897 * * [misc]simplify: iters left: 6 (11 enodes) 1544087865.899 * * [misc]simplify: iters left: 5 (14 enodes) 1544087865.901 * [exit]simplify: Simplified to (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087865.901 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (* (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087865.901 * * * * [misc]progress: [ 70 / 195 ] simplifiying candidate # 1544087865.901 * [enter]simplify: Simplifying (sqrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087865.901 * * [misc]simplify: iters left: 6 (11 enodes) 1544087865.903 * * [misc]simplify: iters left: 5 (14 enodes) 1544087865.906 * [exit]simplify: Simplified to (sqrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087865.906 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087865.906 * * * * [misc]progress: [ 71 / 195 ] simplifiying candidate # 1544087865.906 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544087865.906 * * [misc]simplify: iters left: 6 (9 enodes) 1544087865.909 * * [misc]simplify: iters left: 5 (11 enodes) 1544087865.912 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544087865.912 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544087865.912 * * * * [misc]progress: [ 72 / 195 ] simplifiying candidate # 1544087865.912 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087865.912 * * [misc]simplify: iters left: 6 (12 enodes) 1544087865.916 * * [misc]simplify: iters left: 5 (15 enodes) 1544087865.920 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087865.920 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544087865.920 * * * * [misc]progress: [ 73 / 195 ] simplifiying candidate # 1544087865.920 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087865.920 * * [misc]simplify: iters left: 6 (12 enodes) 1544087865.924 * * [misc]simplify: iters left: 5 (15 enodes) 1544087865.928 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087865.928 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544087865.928 * * * * [misc]progress: [ 74 / 195 ] simplifiying candidate # 1544087865.928 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544087865.928 * * [misc]simplify: iters left: 6 (11 enodes) 1544087865.931 * * [misc]simplify: iters left: 5 (14 enodes) 1544087865.935 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544087865.935 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (cbrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544087865.935 * * * * [misc]progress: [ 75 / 195 ] simplifiying candidate # 1544087865.936 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544087865.936 * * [misc]simplify: iters left: 6 (9 enodes) 1544087865.938 * * [misc]simplify: iters left: 5 (11 enodes) 1544087865.941 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544087865.941 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544087865.941 * * * * [misc]progress: [ 76 / 195 ] simplifiying candidate # 1544087865.942 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087865.942 * * [misc]simplify: iters left: 6 (12 enodes) 1544087865.945 * * [misc]simplify: iters left: 5 (15 enodes) 1544087865.949 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087865.949 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544087865.950 * * * * [misc]progress: [ 77 / 195 ] simplifiying candidate # 1544087865.950 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087865.950 * * [misc]simplify: iters left: 6 (12 enodes) 1544087865.953 * * [misc]simplify: iters left: 5 (15 enodes) 1544087865.957 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087865.957 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544087865.957 * * * * [misc]progress: [ 78 / 195 ] simplifiying candidate # 1544087865.958 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544087865.958 * * [misc]simplify: iters left: 6 (11 enodes) 1544087865.961 * * [misc]simplify: iters left: 5 (14 enodes) 1544087865.965 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544087865.965 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (cbrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544087865.965 * * * * [misc]progress: [ 79 / 195 ] simplifiying candidate # 1544087865.965 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544087865.965 * * [misc]simplify: iters left: 6 (9 enodes) 1544087865.968 * * [misc]simplify: iters left: 5 (11 enodes) 1544087865.971 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544087865.971 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544087865.971 * * * * [misc]progress: [ 80 / 195 ] simplifiying candidate # 1544087865.971 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087865.971 * * [misc]simplify: iters left: 6 (12 enodes) 1544087865.974 * * [misc]simplify: iters left: 5 (15 enodes) 1544087865.978 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087865.979 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544087865.979 * * * * [misc]progress: [ 81 / 195 ] simplifiying candidate # 1544087865.979 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087865.979 * * [misc]simplify: iters left: 6 (12 enodes) 1544087865.982 * * [misc]simplify: iters left: 5 (15 enodes) 1544087865.986 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087865.986 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544087865.986 * * * * [misc]progress: [ 82 / 195 ] simplifiying candidate # 1544087865.987 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544087865.987 * * [misc]simplify: iters left: 6 (11 enodes) 1544087865.990 * * [misc]simplify: iters left: 5 (14 enodes) 1544087865.994 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544087865.994 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544087865.994 * * * * [misc]progress: [ 83 / 195 ] simplifiying candidate # 1544087865.994 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1544087865.994 * * [misc]simplify: iters left: 6 (8 enodes) 1544087865.997 * * [misc]simplify: iters left: 5 (10 enodes) 1544087866.000 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1544087866.000 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1544087866.000 * * * * [misc]progress: [ 84 / 195 ] simplifiying candidate # 1544087866.000 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087866.000 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.003 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.007 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087866.007 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544087866.008 * * * * [misc]progress: [ 85 / 195 ] simplifiying candidate # 1544087866.008 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087866.008 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.011 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.016 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087866.016 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544087866.016 * * * * [misc]progress: [ 86 / 195 ] simplifiying candidate # 1544087866.016 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087866.016 * * [misc]simplify: iters left: 6 (10 enodes) 1544087866.017 * * [misc]simplify: iters left: 5 (13 enodes) 1544087866.019 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087866.019 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1544087866.019 * * * * [misc]progress: [ 87 / 195 ] simplifiying candidate # 1544087866.019 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544087866.019 * * [misc]simplify: iters left: 6 (9 enodes) 1544087866.021 * * [misc]simplify: iters left: 5 (11 enodes) 1544087866.022 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544087866.022 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544087866.022 * * * * [misc]progress: [ 88 / 195 ] simplifiying candidate # 1544087866.022 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087866.023 * * [misc]simplify: iters left: 6 (12 enodes) 1544087866.024 * * [misc]simplify: iters left: 5 (15 enodes) 1544087866.026 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087866.026 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544087866.026 * * * * [misc]progress: [ 89 / 195 ] simplifiying candidate # 1544087866.026 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087866.026 * * [misc]simplify: iters left: 6 (12 enodes) 1544087866.028 * * [misc]simplify: iters left: 5 (15 enodes) 1544087866.030 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087866.030 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544087866.030 * * * * [misc]progress: [ 90 / 195 ] simplifiying candidate # 1544087866.030 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544087866.030 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.032 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.034 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544087866.034 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544087866.034 * * * * [misc]progress: [ 91 / 195 ] simplifiying candidate # 1544087866.034 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1544087866.034 * * [misc]simplify: iters left: 6 (8 enodes) 1544087866.035 * * [misc]simplify: iters left: 5 (10 enodes) 1544087866.036 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1544087866.037 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1544087866.037 * * * * [misc]progress: [ 92 / 195 ] simplifiying candidate # 1544087866.037 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087866.037 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.038 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.040 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544087866.040 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544087866.040 * * * * [misc]progress: [ 93 / 195 ] simplifiying candidate # 1544087866.040 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087866.041 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.042 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.045 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544087866.045 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544087866.045 * * * * [misc]progress: [ 94 / 195 ] simplifiying candidate # 1544087866.045 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087866.045 * * [misc]simplify: iters left: 6 (10 enodes) 1544087866.048 * * [misc]simplify: iters left: 5 (13 enodes) 1544087866.052 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087866.052 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1544087866.052 * * * * [misc]progress: [ 95 / 195 ] simplifiying candidate # 1544087866.052 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087866.053 * * [misc]simplify: iters left: 6 (10 enodes) 1544087866.056 * * [misc]simplify: iters left: 5 (13 enodes) 1544087866.059 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087866.059 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1544087866.059 * * * * [misc]progress: [ 96 / 195 ] simplifiying candidate # 1544087866.060 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- (/ k 2)))) 1544087866.060 * * [misc]simplify: iters left: 6 (9 enodes) 1544087866.062 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.066 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- (/ k 2)))) 1544087866.066 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (sqrt k))) (/ 1 (pow (* 2 n) (- (/ k 2))))))) 1544087866.066 * * * * [misc]progress: [ 97 / 195 ] simplifiying candidate # 1544087866.067 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087866.067 * * [misc]simplify: iters left: 3 (6 enodes) 1544087866.068 * * [misc]simplify: iters left: 2 (7 enodes) 1544087866.070 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087866.070 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) 1)) (pow (* n 2) (/ k 2))))) 1544087866.071 * * * * [misc]progress: [ 98 / 195 ] simplifiying candidate # 1544087866.071 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544087866.071 * * [misc]simplify: iters left: 3 (6 enodes) 1544087866.073 * * [misc]simplify: iters left: 2 (7 enodes) 1544087866.075 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544087866.075 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 0))) (pow (* n 2) (/ k 2))))) 1544087866.075 * * * * [misc]progress: [ 99 / 195 ] simplifiying candidate # 1544087866.075 * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2))))) 1544087866.075 * * [misc]simplify: iters left: 6 (10 enodes) 1544087866.078 * * [misc]simplify: iters left: 5 (11 enodes) 1544087866.081 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2))))) 1544087866.081 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2))))) (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.081 * * * * [misc]progress: [ 100 / 195 ] simplifiying candidate # 1544087866.081 * [enter]simplify: Simplifying (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087866.082 * * [misc]simplify: iters left: 6 (9 enodes) 1544087866.084 * * [misc]simplify: iters left: 5 (10 enodes) 1544087866.087 * [exit]simplify: Simplified to (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087866.087 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.087 * * * * [misc]progress: [ 101 / 195 ] simplifiying candidate # 1544087866.087 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.087 * * [misc]simplify: iters left: 6 (12 enodes) 1544087866.089 * * [misc]simplify: iters left: 5 (19 enodes) 1544087866.092 * * [misc]simplify: iters left: 4 (28 enodes) 1544087866.095 * * [misc]simplify: iters left: 3 (31 enodes) 1544087866.100 * * [misc]simplify: iters left: 2 (34 enodes) 1544087866.105 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) 1544087866.105 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.105 * * * * [misc]progress: [ 102 / 195 ] simplifiying candidate # 1544087866.105 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt n)) 1544087866.105 * * [misc]simplify: iters left: 6 (8 enodes) 1544087866.106 * * [misc]simplify: iters left: 5 (10 enodes) 1544087866.108 * * [misc]simplify: iters left: 4 (12 enodes) 1544087866.109 * * [misc]simplify: iters left: 3 (13 enodes) 1544087866.111 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1544087866.111 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.111 * * * * [misc]progress: [ 103 / 195 ] simplifiying candidate # 1544087866.111 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544087866.112 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.113 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.115 * * [misc]simplify: iters left: 4 (16 enodes) 1544087866.117 * * [misc]simplify: iters left: 3 (17 enodes) 1544087866.119 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) 1544087866.119 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.119 * * * * [misc]progress: [ 104 / 195 ] simplifiying candidate # 1544087866.120 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1) 1544087866.120 * * [misc]simplify: iters left: 6 (7 enodes) 1544087866.121 * * [misc]simplify: iters left: 5 (11 enodes) 1544087866.123 * * [misc]simplify: iters left: 4 (17 enodes) 1544087866.125 * * [misc]simplify: iters left: 3 (31 enodes) 1544087866.129 * * [misc]simplify: iters left: 2 (57 enodes) 1544087866.136 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544087866.136 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.136 * * * * [misc]progress: [ 105 / 195 ] simplifiying candidate # 1544087866.137 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.137 * * [misc]simplify: iters left: 6 (12 enodes) 1544087866.138 * * [misc]simplify: iters left: 5 (16 enodes) 1544087866.140 * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544087866.140 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (* (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.140 * * * * [misc]progress: [ 106 / 195 ] simplifiying candidate # 1544087866.141 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt n)) 1544087866.141 * * [misc]simplify: iters left: 6 (8 enodes) 1544087866.142 * * [misc]simplify: iters left: 5 (9 enodes) 1544087866.143 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt n)) 1544087866.143 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (sqrt n)) (* (/ (sqrt (cbrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.143 * * * * [misc]progress: [ 107 / 195 ] simplifiying candidate # 1544087866.143 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544087866.143 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.145 * * [misc]simplify: iters left: 5 (13 enodes) 1544087866.146 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087866.146 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (* (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.146 * * * * [misc]progress: [ 108 / 195 ] simplifiying candidate # 1544087866.147 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1544087866.147 * * [misc]simplify: iters left: 6 (7 enodes) 1544087866.148 * * [misc]simplify: iters left: 5 (10 enodes) 1544087866.151 * * [misc]simplify: iters left: 4 (12 enodes) 1544087866.153 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544087866.153 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (* (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.153 * * * * [misc]progress: [ 109 / 195 ] simplifiying candidate # 1544087866.154 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.154 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.157 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.161 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.161 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (* (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.161 * * * * [misc]progress: [ 110 / 195 ] simplifiying candidate # 1544087866.161 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087866.161 * * [misc]simplify: iters left: 5 (7 enodes) 1544087866.163 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087866.163 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.163 * * * * [misc]progress: [ 111 / 195 ] simplifiying candidate # 1544087866.163 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087866.163 * * [misc]simplify: iters left: 6 (10 enodes) 1544087866.166 * * [misc]simplify: iters left: 5 (11 enodes) 1544087866.169 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087866.169 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.169 * * * * [misc]progress: [ 112 / 195 ] simplifiying candidate # 1544087866.170 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544087866.170 * * [misc]simplify: iters left: 5 (6 enodes) 1544087866.171 * * [misc]simplify: iters left: 4 (8 enodes) 1544087866.174 * * [misc]simplify: iters left: 3 (10 enodes) 1544087866.176 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544087866.176 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.176 * * * * [misc]progress: [ 113 / 195 ] simplifiying candidate # 1544087866.176 * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.176 * * [misc]simplify: iters left: 6 (9 enodes) 1544087866.180 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.183 * * [misc]simplify: iters left: 4 (15 enodes) 1544087866.185 * * [misc]simplify: iters left: 3 (17 enodes) 1544087866.187 * * [misc]simplify: iters left: 2 (18 enodes) 1544087866.189 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544087866.189 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.189 * * * * [misc]progress: [ 114 / 195 ] simplifiying candidate # 1544087866.189 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt n)) 1544087866.189 * * [misc]simplify: iters left: 3 (5 enodes) 1544087866.190 * * [misc]simplify: iters left: 2 (7 enodes) 1544087866.191 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544087866.191 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt n)) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.191 * * * * [misc]progress: [ 115 / 195 ] simplifiying candidate # 1544087866.191 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (* n 2)))) 1544087866.191 * * [misc]simplify: iters left: 6 (8 enodes) 1544087866.193 * * [misc]simplify: iters left: 5 (11 enodes) 1544087866.194 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* n 2)))) 1544087866.194 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.194 * * * * [misc]progress: [ 116 / 195 ] simplifiying candidate # 1544087866.194 * [enter]simplify: Simplifying (/ (sqrt 1) 1) 1544087866.194 * * [misc]simplify: iters left: 3 (3 enodes) 1544087866.195 * * [misc]simplify: iters left: 2 (5 enodes) 1544087866.195 * [exit]simplify: Simplified to 1 1544087866.195 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.195 * * * * [misc]progress: [ 117 / 195 ] simplifiying candidate # 1544087866.196 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.196 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.197 * * [misc]simplify: iters left: 5 (14 enodes) 1544087866.199 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.199 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (* (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.199 * * * * [misc]progress: [ 118 / 195 ] simplifiying candidate # 1544087866.199 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087866.199 * * [misc]simplify: iters left: 5 (7 enodes) 1544087866.200 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544087866.200 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.200 * * * * [misc]progress: [ 119 / 195 ] simplifiying candidate # 1544087866.200 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087866.201 * * [misc]simplify: iters left: 6 (10 enodes) 1544087866.202 * * [misc]simplify: iters left: 5 (11 enodes) 1544087866.203 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544087866.203 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.203 * * * * [misc]progress: [ 120 / 195 ] simplifiying candidate # 1544087866.203 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544087866.203 * * [misc]simplify: iters left: 5 (6 enodes) 1544087866.205 * * [misc]simplify: iters left: 4 (8 enodes) 1544087866.206 * * [misc]simplify: iters left: 3 (10 enodes) 1544087866.207 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544087866.207 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.208 * * * * [misc]progress: [ 121 / 195 ] simplifiying candidate # 1544087866.208 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544087866.208 * * [misc]simplify: iters left: 6 (8 enodes) 1544087866.209 * * [misc]simplify: iters left: 5 (13 enodes) 1544087866.211 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1544087866.211 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.211 * * * * [misc]progress: [ 122 / 195 ] simplifiying candidate # 1544087866.211 * [enter]simplify: Simplifying (/ 1 (sqrt n)) 1544087866.211 * * [misc]simplify: iters left: 3 (4 enodes) 1544087866.211 * * [misc]simplify: iters left: 2 (6 enodes) 1544087866.212 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544087866.212 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt n)) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.212 * * * * [misc]progress: [ 123 / 195 ] simplifiying candidate # 1544087866.212 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* n 2)))) 1544087866.212 * * [misc]simplify: iters left: 6 (7 enodes) 1544087866.213 * * [misc]simplify: iters left: 5 (10 enodes) 1544087866.215 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1544087866.215 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt (* 2 n)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.215 * * * * [misc]progress: [ 124 / 195 ] simplifiying candidate # 1544087866.215 * [enter]simplify: Simplifying (/ 1 1) 1544087866.215 * * [misc]simplify: iters left: 2 (2 enodes) 1544087866.215 * * [misc]simplify: iters left: 1 (4 enodes) 1544087866.215 * [exit]simplify: Simplified to 1 1544087866.216 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.216 * * * * [misc]progress: [ 125 / 195 ] simplifiying candidate # 1544087866.216 * * * * [misc]progress: [ 126 / 195 ] simplifiying candidate # 1544087866.216 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544087866.216 * * [misc]simplify: iters left: 2 (3 enodes) 1544087866.216 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544087866.216 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (* (/ 1 (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544087866.216 * * * * [misc]progress: [ 127 / 195 ] simplifiying candidate # 1544087866.216 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087866.216 * * [misc]simplify: iters left: 5 (7 enodes) 1544087866.217 * * [misc]simplify: iters left: 4 (10 enodes) 1544087866.219 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087866.219 * [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)))))) 1544087866.219 * * * * [misc]progress: [ 128 / 195 ] simplifiying candidate # 1544087866.219 * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087866.219 * * [misc]simplify: iters left: 6 (11 enodes) 1544087866.221 * * [misc]simplify: iters left: 5 (17 enodes) 1544087866.223 * * [misc]simplify: iters left: 4 (19 enodes) 1544087866.225 * * [misc]simplify: iters left: 3 (20 enodes) 1544087866.228 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544087866.228 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* n 2))))) 1544087866.228 * * * * [misc]progress: [ 129 / 195 ] simplifiying candidate # 1544087866.228 * * * * [misc]progress: [ 130 / 195 ] simplifiying candidate # 1544087866.228 * * * * [misc]progress: [ 131 / 195 ] simplifiying candidate # 1544087866.228 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544087866.228 * * [misc]simplify: iters left: 6 (22 enodes) 1544087866.232 * * [misc]simplify: iters left: 5 (46 enodes) 1544087866.240 * * [misc]simplify: iters left: 4 (112 enodes) 1544087866.280 * * [misc]simplify: iters left: 3 (335 enodes) 1544087866.415 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (+ (- (* (log (* n 2)) (/ k 2)) (log (sqrt (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))) 1544087866.415 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (+ (- (* (log (* n 2)) (/ k 2)) (log (sqrt (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544087866.415 * * * * [misc]progress: [ 132 / 195 ] simplifiying candidate # 1544087866.416 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544087866.416 * * [misc]simplify: iters left: 6 (22 enodes) 1544087866.420 * * [misc]simplify: iters left: 5 (46 enodes) 1544087866.428 * * [misc]simplify: iters left: 4 (112 enodes) 1544087866.465 * * [misc]simplify: iters left: 3 (335 enodes) 1544087866.677 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (+ (- (* (log (* n 2)) (/ k 2)) (log (sqrt (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))) 1544087866.677 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (+ (- (* (log (* n 2)) (/ k 2)) (log (sqrt (* n 2)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544087866.677 * * * * [misc]progress: [ 133 / 195 ] simplifiying candidate # 1544087866.677 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2))))))) 1544087866.677 * * [misc]simplify: iters left: 6 (22 enodes) 1544087866.681 * * [misc]simplify: iters left: 5 (42 enodes) 1544087866.692 * * [misc]simplify: iters left: 4 (100 enodes) 1544087866.716 * * [misc]simplify: iters left: 3 (277 enodes) 1544087866.941 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt (sqrt k)))) (- (* (log (* n 2)) (/ k 2)) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))) 1544087866.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt (sqrt k)))) (- (* (log (* n 2)) (/ k 2)) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544087866.942 * * * * [misc]progress: [ 134 / 195 ] simplifiying candidate # 1544087866.942 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087866.942 * * [misc]simplify: iters left: 6 (22 enodes) 1544087866.949 * * [misc]simplify: iters left: 5 (38 enodes) 1544087866.961 * * [misc]simplify: iters left: 4 (78 enodes) 1544087866.980 * * [misc]simplify: iters left: 3 (204 enodes) 1544087867.094 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (- (+ (* (log (* n 2)) (/ k 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))) 1544087867.094 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (- (+ (* (log (* n 2)) (/ k 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544087867.094 * * * * [misc]progress: [ 135 / 195 ] simplifiying candidate # 1544087867.095 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544087867.095 * * [misc]simplify: iters left: 6 (22 enodes) 1544087867.099 * * [misc]simplify: iters left: 5 (44 enodes) 1544087867.106 * * [misc]simplify: iters left: 4 (103 enodes) 1544087867.136 * * [misc]simplify: iters left: 3 (308 enodes) 1544087867.275 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (+ (log (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (+ (/ (log (* 2 n)) (/ 2 k)) (log (sqrt (sqrt k)))))) 1544087867.275 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (+ (log (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (+ (/ (log (* 2 n)) (/ 2 k)) (log (sqrt (sqrt k)))))))) 1544087867.275 * * * * [misc]progress: [ 136 / 195 ] simplifiying candidate # 1544087867.276 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544087867.276 * * [misc]simplify: iters left: 6 (22 enodes) 1544087867.280 * * [misc]simplify: iters left: 5 (44 enodes) 1544087867.287 * * [misc]simplify: iters left: 4 (103 enodes) 1544087867.323 * * [misc]simplify: iters left: 3 (308 enodes) 1544087867.472 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (+ (log (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (+ (/ (log (* 2 n)) (/ 2 k)) (log (sqrt (sqrt k)))))) 1544087867.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (+ (log (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (+ (/ (log (* 2 n)) (/ 2 k)) (log (sqrt (sqrt k)))))))) 1544087867.472 * * * * [misc]progress: [ 137 / 195 ] simplifiying candidate # 1544087867.472 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2))))))) 1544087867.473 * * [misc]simplify: iters left: 6 (22 enodes) 1544087867.479 * * [misc]simplify: iters left: 5 (40 enodes) 1544087867.488 * * [misc]simplify: iters left: 4 (90 enodes) 1544087867.507 * * [misc]simplify: iters left: 3 (254 enodes) 1544087867.706 * [exit]simplify: Simplified to (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (- (+ (* (/ k 2) (log (* 2 n))) (log (sqrt (sqrt k)))) (* (- 1/2 (/ k 2)) (log PI)))) 1544087867.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (- (+ (* (/ k 2) (log (* 2 n))) (log (sqrt (sqrt k)))) (* (- 1/2 (/ k 2)) (log PI)))))) 1544087867.706 * * * * [misc]progress: [ 138 / 195 ] simplifiying candidate # 1544087867.707 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087867.707 * * [misc]simplify: iters left: 6 (21 enodes) 1544087867.710 * * [misc]simplify: iters left: 5 (36 enodes) 1544087867.715 * * [misc]simplify: iters left: 4 (69 enodes) 1544087867.729 * * [misc]simplify: iters left: 3 (178 enodes) 1544087867.813 * [exit]simplify: Simplified to (+ (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (sqrt k)))) (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k))))) 1544087867.813 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (sqrt k)))) (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k))))))) 1544087867.813 * * * * [misc]progress: [ 139 / 195 ] simplifiying candidate # 1544087867.813 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087867.813 * * [misc]simplify: iters left: 6 (20 enodes) 1544087867.819 * * [misc]simplify: iters left: 5 (35 enodes) 1544087867.830 * * [misc]simplify: iters left: 4 (69 enodes) 1544087867.854 * * [misc]simplify: iters left: 3 (147 enodes) 1544087867.911 * * [misc]simplify: iters left: 2 (367 enodes) 1544087868.125 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (log (/ (sqrt k) (sqrt (* 2 n))))) 1544087868.125 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (log (/ (sqrt k) (sqrt (* 2 n))))))) 1544087868.125 * * * * [misc]progress: [ 140 / 195 ] simplifiying candidate # 1544087868.125 * * * * [misc]progress: [ 141 / 195 ] simplifiying candidate # 1544087868.125 * * * * [misc]progress: [ 142 / 195 ] simplifiying candidate # 1544087868.125 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2))))))) 1544087868.125 * * [misc]simplify: iters left: 6 (28 enodes) 1544087868.130 * * [misc]simplify: iters left: 5 (68 enodes) 1544087868.146 * * [misc]simplify: iters left: 4 (295 enodes) 1544087868.419 * [exit]simplify: Simplified to (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ (/ (sqrt k) (* 2 n)) (sqrt (* 2 n))) (* (sqrt k) (sqrt (sqrt k))))) (/ (* (pow (* 2 n) (- (/ k 2))) (pow (* 2 n) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))) 1544087868.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ (/ (sqrt k) (* 2 n)) (sqrt (* 2 n))) (* (sqrt k) (sqrt (sqrt k))))) (/ (* (pow (* 2 n) (- (/ k 2))) (pow (* 2 n) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1544087868.419 * * * * [misc]progress: [ 143 / 195 ] simplifiying candidate # 1544087868.419 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087868.419 * * [misc]simplify: iters left: 6 (28 enodes) 1544087868.424 * * [misc]simplify: iters left: 5 (67 enodes) 1544087868.439 * * [misc]simplify: iters left: 4 (270 enodes) 1544087868.658 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ (sqrt k) (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))) 1544087868.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ (sqrt k) (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))))) 1544087868.658 * * * * [misc]progress: [ 144 / 195 ] simplifiying candidate # 1544087868.659 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2))))))) 1544087868.659 * * [misc]simplify: iters left: 6 (28 enodes) 1544087868.664 * * [misc]simplify: iters left: 5 (67 enodes) 1544087868.678 * * [misc]simplify: iters left: 4 (254 enodes) 1544087868.881 * [exit]simplify: Simplified to (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* 2 n) (/ (- k) 2)) 3)) (* (/ (sqrt k) (* (sqrt (* 2 n)) (sqrt (* 2 n)))) (* (/ (sqrt k) (sqrt (* 2 n))) (sqrt k)))) 1544087868.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* 2 n) (/ (- k) 2)) 3)) (* (/ (sqrt k) (* (sqrt (* 2 n)) (sqrt (* 2 n)))) (* (/ (sqrt k) (sqrt (* 2 n))) (sqrt k)))))) 1544087868.881 * * * * [misc]progress: [ 145 / 195 ] simplifiying candidate # 1544087868.882 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087868.882 * * [misc]simplify: iters left: 6 (26 enodes) 1544087868.895 * * [misc]simplify: iters left: 5 (63 enodes) 1544087868.919 * * [misc]simplify: iters left: 4 (219 enodes) 1544087869.098 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 3)) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))) 1544087869.098 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 3)) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))))) 1544087869.098 * * * * [misc]progress: [ 146 / 195 ] simplifiying candidate # 1544087869.098 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087869.099 * * [misc]simplify: iters left: 6 (24 enodes) 1544087869.107 * * [misc]simplify: iters left: 5 (54 enodes) 1544087869.130 * * [misc]simplify: iters left: 4 (199 enodes) 1544087869.286 * [exit]simplify: Simplified to (pow (* (pow (* 2 n) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (* 2 n))))) 3) 1544087869.286 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (pow (* 2 n) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (* 2 n))))) 3))) 1544087869.286 * * * * [misc]progress: [ 147 / 195 ] simplifiying candidate # 1544087869.286 * * * * [misc]progress: [ 148 / 195 ] simplifiying candidate # 1544087869.286 * * * * [misc]progress: [ 149 / 195 ] simplifiying candidate # 1544087869.286 * * * * [misc]progress: [ 150 / 195 ] simplifiying candidate # 1544087869.286 * * * * [misc]progress: [ 151 / 195 ] simplifiying candidate # 1544087869.287 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087869.287 * * [misc]simplify: iters left: 6 (14 enodes) 1544087869.291 * * [misc]simplify: iters left: 5 (21 enodes) 1544087869.297 * * [misc]simplify: iters left: 4 (26 enodes) 1544087869.304 * * [misc]simplify: iters left: 3 (30 enodes) 1544087869.311 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087869.311 * [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))))))) 1544087869.312 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087869.312 * * [misc]simplify: iters left: 6 (15 enodes) 1544087869.316 * * [misc]simplify: iters left: 5 (26 enodes) 1544087869.324 * * [misc]simplify: iters left: 4 (42 enodes) 1544087869.336 * * [misc]simplify: iters left: 3 (78 enodes) 1544087869.357 * * [misc]simplify: iters left: 2 (126 enodes) 1544087869.391 * * [misc]simplify: iters left: 1 (179 enodes) 1544087869.434 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087869.434 * [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)))))) 1544087869.434 * * * * [misc]progress: [ 152 / 195 ] simplifiying candidate # 1544087869.434 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087869.434 * * [misc]simplify: iters left: 6 (14 enodes) 1544087869.436 * * [misc]simplify: iters left: 5 (21 enodes) 1544087869.439 * * [misc]simplify: iters left: 4 (26 enodes) 1544087869.443 * * [misc]simplify: iters left: 3 (30 enodes) 1544087869.446 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544087869.446 * [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))))))) 1544087869.446 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087869.446 * * [misc]simplify: iters left: 6 (15 enodes) 1544087869.449 * * [misc]simplify: iters left: 5 (26 enodes) 1544087869.452 * * [misc]simplify: iters left: 4 (42 enodes) 1544087869.459 * * [misc]simplify: iters left: 3 (78 enodes) 1544087869.478 * * [misc]simplify: iters left: 2 (126 enodes) 1544087869.501 * * [misc]simplify: iters left: 1 (179 enodes) 1544087869.528 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544087869.528 * [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)))))) 1544087869.529 * * * * [misc]progress: [ 153 / 195 ] simplifiying candidate # 1544087869.529 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087869.529 * * [misc]simplify: iters left: 6 (14 enodes) 1544087869.531 * * [misc]simplify: iters left: 5 (20 enodes) 1544087869.534 * * [misc]simplify: iters left: 4 (24 enodes) 1544087869.537 * * [misc]simplify: iters left: 3 (29 enodes) 1544087869.541 * * [misc]simplify: iters left: 2 (30 enodes) 1544087869.545 * [exit]simplify: Simplified to (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt (sqrt k))) 1544087869.545 * [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))))))) 1544087869.545 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087869.545 * * [misc]simplify: iters left: 6 (15 enodes) 1544087869.547 * * [misc]simplify: iters left: 5 (25 enodes) 1544087869.551 * * [misc]simplify: iters left: 4 (46 enodes) 1544087869.559 * * [misc]simplify: iters left: 3 (81 enodes) 1544087869.583 * * [misc]simplify: iters left: 2 (123 enodes) 1544087869.619 * * [misc]simplify: iters left: 1 (177 enodes) 1544087869.668 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087869.668 * [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)))))) 1544087869.668 * * * * [misc]progress: [ 154 / 195 ] simplifiying candidate # 1544087869.668 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087869.669 * * [misc]simplify: iters left: 6 (14 enodes) 1544087869.673 * * [misc]simplify: iters left: 5 (20 enodes) 1544087869.679 * * [misc]simplify: iters left: 4 (24 enodes) 1544087869.686 * * [misc]simplify: iters left: 3 (29 enodes) 1544087869.693 * * [misc]simplify: iters left: 2 (30 enodes) 1544087869.701 * [exit]simplify: Simplified to (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt (sqrt k))) 1544087869.701 * [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))))))) 1544087869.701 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087869.701 * * [misc]simplify: iters left: 6 (15 enodes) 1544087869.705 * * [misc]simplify: iters left: 5 (25 enodes) 1544087869.713 * * [misc]simplify: iters left: 4 (46 enodes) 1544087869.727 * * [misc]simplify: iters left: 3 (81 enodes) 1544087869.746 * * [misc]simplify: iters left: 2 (123 enodes) 1544087869.780 * * [misc]simplify: iters left: 1 (177 enodes) 1544087869.821 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544087869.821 * [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)))))) 1544087869.821 * * * * [misc]progress: [ 155 / 195 ] simplifiying candidate # 1544087869.821 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087869.821 * * [misc]simplify: iters left: 6 (18 enodes) 1544087869.824 * * [misc]simplify: iters left: 5 (29 enodes) 1544087869.828 * * [misc]simplify: iters left: 4 (45 enodes) 1544087869.834 * * [misc]simplify: iters left: 3 (73 enodes) 1544087869.845 * * [misc]simplify: iters left: 2 (124 enodes) 1544087869.865 * * [misc]simplify: iters left: 1 (168 enodes) 1544087869.886 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087869.886 * [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))))))) 1544087869.886 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087869.886 * * [misc]simplify: iters left: 6 (18 enodes) 1544087869.890 * * [misc]simplify: iters left: 5 (28 enodes) 1544087869.894 * * [misc]simplify: iters left: 4 (38 enodes) 1544087869.899 * * [misc]simplify: iters left: 3 (56 enodes) 1544087869.907 * * [misc]simplify: iters left: 2 (95 enodes) 1544087869.921 * * [misc]simplify: iters left: 1 (133 enodes) 1544087869.952 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087869.952 * [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)))))) 1544087869.952 * * * * [misc]progress: [ 156 / 195 ] simplifiying candidate # 1544087869.952 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087869.952 * * [misc]simplify: iters left: 6 (17 enodes) 1544087869.959 * * [misc]simplify: iters left: 5 (26 enodes) 1544087869.966 * * [misc]simplify: iters left: 4 (38 enodes) 1544087869.977 * * [misc]simplify: iters left: 3 (56 enodes) 1544087869.988 * * [misc]simplify: iters left: 2 (95 enodes) 1544087870.001 * * [misc]simplify: iters left: 1 (133 enodes) 1544087870.016 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544087870.016 * [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))))))) 1544087870.016 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087870.016 * * [misc]simplify: iters left: 6 (18 enodes) 1544087870.019 * * [misc]simplify: iters left: 5 (28 enodes) 1544087870.027 * * [misc]simplify: iters left: 4 (38 enodes) 1544087870.038 * * [misc]simplify: iters left: 3 (56 enodes) 1544087870.054 * * [misc]simplify: iters left: 2 (95 enodes) 1544087870.082 * * [misc]simplify: iters left: 1 (133 enodes) 1544087870.112 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544087870.112 * [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)))))) 1544087870.112 * * * * [misc]progress: [ 157 / 195 ] simplifiying candidate # 1544087870.112 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544087870.112 * * [misc]simplify: iters left: 6 (10 enodes) 1544087870.115 * * [misc]simplify: iters left: 5 (15 enodes) 1544087870.119 * * [misc]simplify: iters left: 4 (18 enodes) 1544087870.124 * * [misc]simplify: iters left: 3 (26 enodes) 1544087870.128 * * [misc]simplify: iters left: 2 (34 enodes) 1544087870.132 * * [misc]simplify: iters left: 1 (47 enodes) 1544087870.138 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544087870.138 * [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))))))) 1544087870.138 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544087870.138 * * [misc]simplify: iters left: 6 (17 enodes) 1544087870.141 * * [misc]simplify: iters left: 5 (27 enodes) 1544087870.144 * * [misc]simplify: iters left: 4 (37 enodes) 1544087870.150 * * [misc]simplify: iters left: 3 (55 enodes) 1544087870.164 * * [misc]simplify: iters left: 2 (100 enodes) 1544087870.192 * * [misc]simplify: iters left: 1 (150 enodes) 1544087870.221 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544087870.222 * [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)))))) 1544087870.222 * * * * [misc]progress: [ 158 / 195 ] simplifiying candidate # 1544087870.222 * * * * [misc]progress: [ 159 / 195 ] simplifiying candidate # 1544087870.222 * * * * [misc]progress: [ 160 / 195 ] simplifiying candidate # 1544087870.222 * * * * [misc]progress: [ 161 / 195 ] simplifiying candidate # 1544087870.222 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544087870.222 * * [misc]simplify: iters left: 6 (10 enodes) 1544087870.224 * * [misc]simplify: iters left: 5 (13 enodes) 1544087870.225 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544087870.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1544087870.225 * * * * [misc]progress: [ 162 / 195 ] simplifiying candidate # 1544087870.226 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544087870.226 * * [misc]simplify: iters left: 4 (5 enodes) 1544087870.226 * * [misc]simplify: iters left: 3 (9 enodes) 1544087870.228 * * [misc]simplify: iters left: 2 (11 enodes) 1544087870.231 * * [misc]simplify: iters left: 1 (13 enodes) 1544087870.234 * [exit]simplify: Simplified to (sqrt PI) 1544087870.234 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1544087870.234 * * * * [misc]progress: [ 163 / 195 ] simplifiying candidate # 1544087870.234 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544087870.234 * * [misc]simplify: iters left: 4 (5 enodes) 1544087870.236 * * [misc]simplify: iters left: 3 (9 enodes) 1544087870.238 * * [misc]simplify: iters left: 2 (11 enodes) 1544087870.241 * * [misc]simplify: iters left: 1 (13 enodes) 1544087870.244 * [exit]simplify: Simplified to (sqrt PI) 1544087870.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1544087870.244 * * * * [misc]progress: [ 164 / 195 ] simplifiying candidate # 1544087870.244 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544087870.244 * * [misc]simplify: iters left: 4 (5 enodes) 1544087870.246 * * [misc]simplify: iters left: 3 (8 enodes) 1544087870.248 * * [misc]simplify: iters left: 2 (9 enodes) 1544087870.251 * * [misc]simplify: iters left: 1 (12 enodes) 1544087870.254 * [exit]simplify: Simplified to (sqrt PI) 1544087870.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1544087870.254 * * * * [misc]progress: [ 165 / 195 ] simplifiying candidate # 1544087870.255 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544087870.255 * * [misc]simplify: iters left: 4 (5 enodes) 1544087870.257 * * [misc]simplify: iters left: 3 (8 enodes) 1544087870.260 * * [misc]simplify: iters left: 2 (9 enodes) 1544087870.262 * * [misc]simplify: iters left: 1 (12 enodes) 1544087870.266 * [exit]simplify: Simplified to (sqrt PI) 1544087870.266 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1544087870.266 * * * * [misc]progress: [ 166 / 195 ] simplifiying candidate # 1544087870.266 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1544087870.266 * * [misc]simplify: iters left: 6 (11 enodes) 1544087870.270 * * [misc]simplify: iters left: 5 (17 enodes) 1544087870.275 * * [misc]simplify: iters left: 4 (26 enodes) 1544087870.282 * * [misc]simplify: iters left: 3 (42 enodes) 1544087870.295 * * [misc]simplify: iters left: 2 (81 enodes) 1544087870.306 * * [misc]simplify: iters left: 1 (119 enodes) 1544087870.321 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544087870.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1544087870.321 * * * * [misc]progress: [ 167 / 195 ] simplifiying candidate # 1544087870.322 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1544087870.322 * * [misc]simplify: iters left: 6 (10 enodes) 1544087870.323 * * [misc]simplify: iters left: 5 (16 enodes) 1544087870.325 * * [misc]simplify: iters left: 4 (25 enodes) 1544087870.330 * * [misc]simplify: iters left: 3 (41 enodes) 1544087870.339 * * [misc]simplify: iters left: 2 (80 enodes) 1544087870.350 * * [misc]simplify: iters left: 1 (118 enodes) 1544087870.368 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544087870.368 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1544087870.368 * * * * [misc]progress: [ 168 / 195 ] simplifiying candidate # 1544087870.368 * * * * [misc]progress: [ 169 / 195 ] simplifiying candidate # 1544087870.368 * [enter]simplify: Simplifying (* (sqrt (* n 2)) (pow (* n 2) (- (/ k 2)))) 1544087870.368 * * [misc]simplify: iters left: 6 (9 enodes) 1544087870.371 * * [misc]simplify: iters left: 5 (13 enodes) 1544087870.375 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2))) 1544087870.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))) (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2))))) 1544087870.375 * * * * [misc]progress: [ 170 / 195 ] simplifiying candidate # 1544087870.375 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544087870.375 * * [misc]simplify: iters left: 5 (7 enodes) 1544087870.378 * * [misc]simplify: iters left: 4 (10 enodes) 1544087870.381 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544087870.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (sqrt k)))) (pow (* n 2) (- (/ k 2))))) 1544087870.381 * * * * [misc]progress: [ 171 / 195 ] simplifiying candidate # 1544087870.382 * [enter]simplify: Simplifying (sqrt (* n 2)) 1544087870.382 * * [misc]simplify: iters left: 3 (4 enodes) 1544087870.383 * * [misc]simplify: iters left: 2 (5 enodes) 1544087870.385 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544087870.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) (sqrt (* n 2)))) 1544087870.385 * * * * [misc]progress: [ 172 / 195 ] simplifiying candidate # 1544087870.385 * * * * [misc]progress: [ 173 / 195 ] simplifiying candidate # 1544087870.385 * * * * [misc]progress: [ 174 / 195 ] simplifiying candidate # 1544087870.385 * * * * [misc]progress: [ 175 / 195 ] simplifiying candidate # 1544087870.385 * * * * [misc]progress: [ 176 / 195 ] simplifiying candidate # 1544087870.385 * * * * [misc]progress: [ 177 / 195 ] simplifiying candidate # 1544087870.385 * * * * [misc]progress: [ 178 / 195 ] simplifiying candidate # 1544087870.386 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544087870.386 * * [misc]simplify: iters left: 5 (5 enodes) 1544087870.387 * * [misc]simplify: iters left: 4 (6 enodes) 1544087870.389 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544087870.389 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (fabs (cbrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* n 2) (- (/ k 2))))))) 1544087870.389 * * * * [misc]progress: [ 179 / 195 ] simplifiying candidate # 1544087870.389 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544087870.390 * * [misc]simplify: iters left: 3 (4 enodes) 1544087870.391 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544087870.391 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* n 2) (- (/ k 2))))))) 1544087870.391 * * * * [misc]progress: [ 180 / 195 ] simplifiying candidate # 1544087870.391 * [enter]simplify: Simplifying (sqrt 1) 1544087870.391 * * [misc]simplify: iters left: 1 (2 enodes) 1544087870.392 * [exit]simplify: Simplified to 1 1544087870.392 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* 1 (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2))))))) 1544087870.392 * * * * [misc]progress: [ 181 / 195 ] simplifiying candidate # 1544087870.392 * * * * [misc]progress: [ 182 / 195 ] simplifiying candidate # 1544087870.393 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544087870.393 * * [misc]simplify: iters left: 2 (3 enodes) 1544087870.394 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544087870.394 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (fabs (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2))))))) 1544087870.394 * * * * [misc]progress: [ 183 / 195 ] simplifiying candidate # 1544087870.394 * * * * [misc]progress: [ 184 / 195 ] simplifiying candidate # 1544087870.394 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (/ (pow n 2) (sqrt 2)) (pow k 1/4))) (- (+ (* +nan.0 (* (/ n (sqrt 2)) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))))))) 1544087870.394 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087870.394 * * * * [misc]progress: [ 185 / 195 ] simplifiying candidate # 1544087870.394 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 3))) (pow k 1/4))) (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 2))) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (* (sqrt 2) n)) (pow k 1/4)))))))) 1544087870.394 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087870.394 * * * * [misc]progress: [ 186 / 195 ] simplifiying candidate # 1544087870.395 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) n))))))) 1544087870.395 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544087870.395 * * * * [misc]progress: [ 187 / 195 ] simplifiying candidate # 1544087870.395 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (* (log n) (pow k 3))) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log 2) 2) (pow k 3)) (* (sqrt 2) n))) (- (* +nan.0 (/ k (* (sqrt 2) n)))))))))))))) 1544087870.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544087870.395 * * * * [misc]progress: [ 188 / 195 ] simplifiying candidate # 1544087870.396 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (pow k 2)))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) k))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n))))))))) 1544087870.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544087870.396 * * * * [misc]progress: [ 189 / 195 ] simplifiying candidate # 1544087870.396 * [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)))))))))) 1544087870.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544087870.396 * * * * [misc]progress: [ 190 / 195 ] simplifiying candidate # 1544087870.396 * [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)))))))))))))))))))))) 1544087870.396 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087870.396 * * * * [misc]progress: [ 191 / 195 ] simplifiying candidate # 1544087870.397 * [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)) 1544087870.397 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087870.397 * * * * [misc]progress: [ 192 / 195 ] simplifiying candidate # 1544087870.397 * [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))))))) 1544087870.397 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544087870.397 * * * * [misc]progress: [ 193 / 195 ] simplifiying candidate # 1544087870.397 * [enter]simplify: Simplifying (pow k 1/4) 1544087870.397 * * [misc]simplify: iters left: 1 (3 enodes) 1544087870.398 * [exit]simplify: Simplified to (pow k 1/4) 1544087870.398 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (pow k 1/4) (pow (* n 2) (- (/ k 2))))))) 1544087870.398 * * * * [misc]progress: [ 194 / 195 ] simplifiying candidate # 1544087870.399 * [enter]simplify: Simplifying (pow (/ 1 k) -1/4) 1544087870.399 * * [misc]simplify: iters left: 3 (5 enodes) 1544087870.400 * * [misc]simplify: iters left: 2 (7 enodes) 1544087870.402 * [exit]simplify: Simplified to (pow (/ 1 k) -1/4) 1544087870.402 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 k) -1/4) (pow (* n 2) (- (/ k 2))))))) 1544087870.402 * * * * [misc]progress: [ 195 / 195 ] simplifiying candidate # 1544087870.402 * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1544087870.402 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ +nan.0 (pow (* n 2) (- (/ k 2))))))) 1544087870.402 * * * [misc]progress: adding candidates to table 1544087873.766 * [misc]progress: [Phase 3 of 3] Extracting. 1544087873.766 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1544087873.768 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1544087873.768 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1544087873.825 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1544087873.913 * * * [misc]regime: Found split indices: #