1538422307.476 * [misc]progress: [Phase 1 of 3] Setting up. 1538422307.477 * * * [misc]progress: [1/2] Preparing points 1538422307.477 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1538422307.478 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1538422307.480 * * * * [misc]points: Setting MPFR precision to 64 1538422307.481 * * * * [misc]points: Setting MPFR precision to 320 1538422307.481 * * * * [misc]points: Setting MPFR precision to 576 1538422307.481 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1538422307.488 * * * * [misc]points: Setting MPFR precision to 320 1538422307.490 * * * * [misc]points: Setting MPFR precision to 576 1538422307.496 * * * * [misc]points: Setting MPFR precision to 832 1538422307.498 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.500 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.501 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1538422307.510 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.512 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.514 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1538422307.524 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.531 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.538 * * * * [misc]points: Computing exacts for 256 points 1538422307.568 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.590 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.612 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422307.612 * * * * [misc]points: Sampling 216 additional inputs, on iter 1 have 40 / 256 1538422307.614 * * * * [misc]points: Computing exacts on every 13 of 216 points to ramp up precision 1538422307.634 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.635 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.636 * * * * [misc]points: Computing exacts on every 6 of 216 points to ramp up precision 1538422307.662 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.663 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.664 * * * * [misc]points: Computing exacts on every 3 of 216 points to ramp up precision 1538422307.674 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.676 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.679 * * * * [misc]points: Computing exacts for 216 points 1538422307.694 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.713 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.732 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422307.732 * * * * [misc]points: Sampling 187 additional inputs, on iter 2 have 69 / 256 1538422307.734 * * * * [misc]points: Computing exacts on every 11 of 187 points to ramp up precision 1538422307.753 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.753 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.754 * * * * [misc]points: Computing exacts on every 5 of 187 points to ramp up precision 1538422307.763 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.765 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.766 * * * * [misc]points: Computing exacts on every 2 of 187 points to ramp up precision 1538422307.793 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.798 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.803 * * * * [misc]points: Computing exacts for 187 points 1538422307.823 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.837 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.852 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422307.852 * * * * [misc]points: Sampling 152 additional inputs, on iter 3 have 104 / 256 1538422307.853 * * * * [misc]points: Computing exacts on every 9 of 152 points to ramp up precision 1538422307.884 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.886 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.887 * * * * [misc]points: Computing exacts on every 4 of 152 points to ramp up precision 1538422307.901 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.902 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.903 * * * * [misc]points: Computing exacts on every 2 of 152 points to ramp up precision 1538422307.916 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.918 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.920 * * * * [misc]points: Computing exacts for 152 points 1538422307.930 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.937 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.943 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422307.944 * * * * [misc]points: Sampling 123 additional inputs, on iter 4 have 133 / 256 1538422307.945 * * * * [misc]points: Computing exacts on every 7 of 123 points to ramp up precision 1538422307.965 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.966 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.967 * * * * [misc]points: Computing exacts on every 3 of 123 points to ramp up precision 1538422307.995 * * * * [misc]points: Setting MPFR precision to 1088 1538422307.997 * * * * [misc]points: Setting MPFR precision to 1344 1538422307.999 * * * * [misc]points: Computing exacts for 123 points 1538422308.016 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.025 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.034 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.034 * * * * [misc]points: Sampling 104 additional inputs, on iter 5 have 152 / 256 1538422308.035 * * * * [misc]points: Computing exacts on every 6 of 104 points to ramp up precision 1538422308.061 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.062 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.062 * * * * [misc]points: Computing exacts on every 3 of 104 points to ramp up precision 1538422308.072 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.073 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.075 * * * * [misc]points: Computing exacts for 104 points 1538422308.087 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.096 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.106 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.106 * * * * [misc]points: Sampling 84 additional inputs, on iter 6 have 172 / 256 1538422308.107 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision 1538422308.126 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.127 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.128 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision 1538422308.148 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.149 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.150 * * * * [misc]points: Computing exacts for 84 points 1538422308.165 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.168 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.172 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.172 * * * * [misc]points: Sampling 71 additional inputs, on iter 7 have 185 / 256 1538422308.172 * * * * [misc]points: Computing exacts on every 4 of 71 points to ramp up precision 1538422308.182 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.182 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.183 * * * * [misc]points: Computing exacts on every 2 of 71 points to ramp up precision 1538422308.196 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.197 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.198 * * * * [misc]points: Computing exacts for 71 points 1538422308.209 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.212 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.215 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.215 * * * * [misc]points: Sampling 57 additional inputs, on iter 8 have 199 / 256 1538422308.215 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision 1538422308.234 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.236 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.237 * * * * [misc]points: Computing exacts for 57 points 1538422308.260 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.265 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.270 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.270 * * * * [misc]points: Sampling 44 additional inputs, on iter 9 have 212 / 256 1538422308.271 * * * * [misc]points: Computing exacts on every 2 of 44 points to ramp up precision 1538422308.283 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.284 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.284 * * * * [misc]points: Computing exacts for 44 points 1538422308.297 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.300 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.302 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.302 * * * * [misc]points: Sampling 37 additional inputs, on iter 10 have 219 / 256 1538422308.302 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision 1538422308.312 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.312 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.313 * * * * [misc]points: Computing exacts for 37 points 1538422308.325 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.329 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.331 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.331 * * * * [misc]points: Sampling 33 additional inputs, on iter 11 have 223 / 256 1538422308.332 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision 1538422308.347 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.347 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.348 * * * * [misc]points: Computing exacts for 33 points 1538422308.357 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.359 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.361 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.361 * * * * [misc]points: Sampling 28 additional inputs, on iter 12 have 228 / 256 1538422308.361 * * * * [misc]points: Computing exacts for 28 points 1538422308.373 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.374 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.375 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.376 * * * * [misc]points: Sampling 22 additional inputs, on iter 13 have 234 / 256 1538422308.376 * * * * [misc]points: Computing exacts for 22 points 1538422308.395 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.397 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.399 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.399 * * * * [misc]points: Sampling 18 additional inputs, on iter 14 have 238 / 256 1538422308.400 * * * * [misc]points: Computing exacts for 18 points 1538422308.419 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.420 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.422 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.422 * * * * [misc]points: Sampling 15 additional inputs, on iter 15 have 241 / 256 1538422308.422 * * * * [misc]points: Computing exacts for 15 points 1538422308.447 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.448 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.450 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.450 * * * * [misc]points: Sampling 12 additional inputs, on iter 16 have 244 / 256 1538422308.450 * * * * [misc]points: Computing exacts for 12 points 1538422308.469 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.470 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.472 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.472 * * * * [misc]points: Sampling 10 additional inputs, on iter 17 have 246 / 256 1538422308.472 * * * * [misc]points: Computing exacts for 10 points 1538422308.491 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.492 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.493 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.493 * * * * [misc]points: Sampling 7 additional inputs, on iter 18 have 249 / 256 1538422308.494 * * * * [misc]points: Computing exacts for 7 points 1538422308.521 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.522 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.523 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.523 * * * * [misc]points: Sampling 5 additional inputs, on iter 19 have 251 / 256 1538422308.523 * * * * [misc]points: Computing exacts for 5 points 1538422308.535 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.535 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.535 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.535 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 252 / 256 1538422308.535 * * * * [misc]points: Computing exacts for 4 points 1538422308.547 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.547 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.547 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.547 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 252 / 256 1538422308.547 * * * * [misc]points: Computing exacts for 4 points 1538422308.557 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.557 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.558 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.558 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 253 / 256 1538422308.558 * * * * [misc]points: Computing exacts for 4 points 1538422308.577 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.578 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.578 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.578 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 253 / 256 1538422308.578 * * * * [misc]points: Computing exacts for 4 points 1538422308.601 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.601 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.602 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.602 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 254 / 256 1538422308.602 * * * * [misc]points: Computing exacts for 4 points 1538422308.622 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.622 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.623 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.623 * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 254 / 256 1538422308.623 * * * * [misc]points: Computing exacts for 4 points 1538422308.645 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.645 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.646 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.646 * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 255 / 256 1538422308.646 * * * * [misc]points: Computing exacts for 4 points 1538422308.666 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.666 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.667 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.667 * * * * [misc]points: Sampling 4 additional inputs, on iter 27 have 255 / 256 1538422308.667 * * * * [misc]points: Computing exacts for 4 points 1538422308.681 * * * * [misc]points: Setting MPFR precision to 1088 1538422308.681 * * * * [misc]points: Setting MPFR precision to 1344 1538422308.682 * * * * [misc]points: Filtering points with unrepresentable outputs 1538422308.682 * * * * [exit]points: Sampled 256 points with exact outputs 1538422308.682 * * * [misc]progress: [2/2] Setting up program. 1538422308.685 * [misc]progress: [Phase 2 of 3] Improving. 1538422308.685 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1538422308.685 * * [misc]simplify: iters left: 6 (13 enodes) 1538422308.688 * * [misc]simplify: iters left: 5 (28 enodes) 1538422308.692 * * [misc]simplify: iters left: 4 (44 enodes) 1538422308.699 * * [misc]simplify: iters left: 3 (54 enodes) 1538422308.707 * * [misc]simplify: iters left: 2 (57 enodes) 1538422308.720 * * [misc]simplify: iters left: 1 (65 enodes) 1538422308.735 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538422308.747 * * [misc]progress: iteration 1 / 4 1538422308.747 * * * [misc]progress: picking best candidate 1538422308.757 * * * * [misc]pick: Picked # 1538422308.757 * * * [misc]progress: localizing error 1538422308.810 * * * [misc]progress: generating rewritten candidates 1538422308.810 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1538422308.818 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1538422308.823 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1538422308.839 * * * [misc]progress: generating series expansions 1538422308.839 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1538422308.839 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1538422308.839 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1538422308.839 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538422308.839 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538422308.840 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538422308.840 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422308.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.840 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422308.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.840 * [misc]taylor: Taking taylor expansion of k in k 1538422308.840 * [misc]backup-simplify: Simplify 0 into 0 1538422308.840 * [misc]backup-simplify: Simplify 1 into 1 1538422308.840 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538422308.840 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538422308.840 * [misc]taylor: Taking taylor expansion of 2 in k 1538422308.840 * [misc]backup-simplify: Simplify 2 into 2 1538422308.840 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538422308.840 * [misc]taylor: Taking taylor expansion of n in k 1538422308.840 * [misc]backup-simplify: Simplify n into n 1538422308.840 * [misc]taylor: Taking taylor expansion of PI in k 1538422308.840 * [misc]backup-simplify: Simplify PI into PI 1538422308.840 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538422308.840 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538422308.840 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538422308.841 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422308.841 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.841 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422308.841 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538422308.841 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538422308.841 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538422308.841 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538422308.841 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538422308.842 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422308.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.842 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422308.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.842 * [misc]taylor: Taking taylor expansion of k in n 1538422308.842 * [misc]backup-simplify: Simplify k into k 1538422308.842 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538422308.842 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538422308.842 * [misc]taylor: Taking taylor expansion of 2 in n 1538422308.842 * [misc]backup-simplify: Simplify 2 into 2 1538422308.842 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422308.842 * [misc]taylor: Taking taylor expansion of n in n 1538422308.842 * [misc]backup-simplify: Simplify 0 into 0 1538422308.842 * [misc]backup-simplify: Simplify 1 into 1 1538422308.842 * [misc]taylor: Taking taylor expansion of PI in n 1538422308.842 * [misc]backup-simplify: Simplify PI into PI 1538422308.842 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422308.843 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422308.843 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422308.844 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538422308.844 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422308.844 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422308.845 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422308.845 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422308.845 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422308.846 * [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)))) 1538422308.847 * [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))))) 1538422308.847 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.847 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.847 * [misc]taylor: Taking taylor expansion of k in n 1538422308.847 * [misc]backup-simplify: Simplify k into k 1538422308.847 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of 2 in n 1538422308.847 * [misc]backup-simplify: Simplify 2 into 2 1538422308.847 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422308.847 * [misc]taylor: Taking taylor expansion of n in n 1538422308.847 * [misc]backup-simplify: Simplify 0 into 0 1538422308.847 * [misc]backup-simplify: Simplify 1 into 1 1538422308.847 * [misc]taylor: Taking taylor expansion of PI in n 1538422308.847 * [misc]backup-simplify: Simplify PI into PI 1538422308.847 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422308.853 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422308.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422308.855 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538422308.855 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422308.855 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422308.855 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422308.855 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422308.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422308.857 * [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)))) 1538422308.857 * [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))))) 1538422308.857 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538422308.857 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538422308.857 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422308.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.857 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422308.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.858 * [misc]taylor: Taking taylor expansion of k in k 1538422308.858 * [misc]backup-simplify: Simplify 0 into 0 1538422308.858 * [misc]backup-simplify: Simplify 1 into 1 1538422308.858 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538422308.858 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422308.858 * [misc]taylor: Taking taylor expansion of n in k 1538422308.858 * [misc]backup-simplify: Simplify n into n 1538422308.858 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422308.858 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538422308.858 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538422308.858 * [misc]taylor: Taking taylor expansion of 2 in k 1538422308.858 * [misc]backup-simplify: Simplify 2 into 2 1538422308.858 * [misc]taylor: Taking taylor expansion of PI in k 1538422308.858 * [misc]backup-simplify: Simplify PI into PI 1538422308.858 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422308.859 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422308.859 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422308.859 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.859 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422308.860 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422308.860 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538422308.861 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538422308.861 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538422308.863 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538422308.864 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538422308.867 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538422308.867 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538422308.868 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.868 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422308.869 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538422308.871 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422308.871 * [misc]taylor: Taking taylor expansion of 0 in k 1538422308.871 * [misc]backup-simplify: Simplify 0 into 0 1538422308.871 * [misc]backup-simplify: Simplify 0 into 0 1538422308.872 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422308.872 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538422308.875 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538422308.875 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.876 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422308.876 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422308.876 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422308.877 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538422308.878 * [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))))))) 1538422308.880 * [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))))))) 1538422308.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422308.884 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538422308.889 * [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 1538422308.890 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538422308.890 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.891 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422308.892 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538422308.894 * [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 1538422308.894 * [misc]taylor: Taking taylor expansion of 0 in k 1538422308.894 * [misc]backup-simplify: Simplify 0 into 0 1538422308.894 * [misc]backup-simplify: Simplify 0 into 0 1538422308.894 * [misc]backup-simplify: Simplify 0 into 0 1538422308.896 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538422308.897 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422308.902 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1538422308.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.903 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422308.903 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.903 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.904 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538422308.906 * [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))))) 1538422308.908 * [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))))) 1538422308.914 * [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))))) 1538422308.914 * [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)))) 1538422308.914 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538422308.914 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422308.914 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538422308.914 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538422308.914 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422308.914 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.914 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422308.914 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.915 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422308.915 * [misc]taylor: Taking taylor expansion of k in k 1538422308.915 * [misc]backup-simplify: Simplify 0 into 0 1538422308.915 * [misc]backup-simplify: Simplify 1 into 1 1538422308.915 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422308.915 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538422308.915 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538422308.915 * [misc]taylor: Taking taylor expansion of 2 in k 1538422308.915 * [misc]backup-simplify: Simplify 2 into 2 1538422308.915 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538422308.915 * [misc]taylor: Taking taylor expansion of PI in k 1538422308.915 * [misc]backup-simplify: Simplify PI into PI 1538422308.915 * [misc]taylor: Taking taylor expansion of n in k 1538422308.915 * [misc]backup-simplify: Simplify n into n 1538422308.915 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538422308.915 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538422308.915 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538422308.916 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422308.916 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422308.916 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422308.916 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538422308.916 * [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)))) 1538422308.916 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422308.916 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538422308.916 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538422308.916 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422308.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422308.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.917 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422308.917 * [misc]taylor: Taking taylor expansion of k in n 1538422308.917 * [misc]backup-simplify: Simplify k into k 1538422308.917 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422308.917 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538422308.917 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538422308.917 * [misc]taylor: Taking taylor expansion of 2 in n 1538422308.917 * [misc]backup-simplify: Simplify 2 into 2 1538422308.917 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422308.917 * [misc]taylor: Taking taylor expansion of PI in n 1538422308.917 * [misc]backup-simplify: Simplify PI into PI 1538422308.917 * [misc]taylor: Taking taylor expansion of n in n 1538422308.917 * [misc]backup-simplify: Simplify 0 into 0 1538422308.917 * [misc]backup-simplify: Simplify 1 into 1 1538422308.917 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422308.918 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422308.918 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422308.918 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422308.918 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422308.918 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422308.919 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422308.920 * [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))) 1538422308.921 * [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)))) 1538422308.921 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.921 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.921 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of k in n 1538422308.921 * [misc]backup-simplify: Simplify k into k 1538422308.921 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422308.921 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of 2 in n 1538422308.921 * [misc]backup-simplify: Simplify 2 into 2 1538422308.921 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422308.921 * [misc]taylor: Taking taylor expansion of PI in n 1538422308.921 * [misc]backup-simplify: Simplify PI into PI 1538422308.921 * [misc]taylor: Taking taylor expansion of n in n 1538422308.921 * [misc]backup-simplify: Simplify 0 into 0 1538422308.921 * [misc]backup-simplify: Simplify 1 into 1 1538422308.922 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422308.922 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422308.922 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422308.922 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422308.922 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422308.923 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422308.923 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422308.924 * [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))) 1538422308.925 * [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)))) 1538422308.925 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.925 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.925 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of k in k 1538422308.925 * [misc]backup-simplify: Simplify 0 into 0 1538422308.925 * [misc]backup-simplify: Simplify 1 into 1 1538422308.925 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422308.925 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538422308.925 * [misc]taylor: Taking taylor expansion of 2 in k 1538422308.925 * [misc]backup-simplify: Simplify 2 into 2 1538422308.925 * [misc]taylor: Taking taylor expansion of PI in k 1538422308.925 * [misc]backup-simplify: Simplify PI into PI 1538422308.926 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422308.926 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422308.926 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422308.926 * [misc]taylor: Taking taylor expansion of n in k 1538422308.926 * [misc]backup-simplify: Simplify n into n 1538422308.926 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422308.927 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422308.927 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422308.927 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422308.927 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422308.927 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538422308.928 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538422308.929 * [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)))) 1538422308.929 * [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)))) 1538422308.931 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538422308.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538422308.934 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538422308.934 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422308.934 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422308.935 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.935 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422308.936 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538422308.938 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422308.938 * [misc]taylor: Taking taylor expansion of 0 in k 1538422308.938 * [misc]backup-simplify: Simplify 0 into 0 1538422308.938 * [misc]backup-simplify: Simplify 0 into 0 1538422308.938 * [misc]backup-simplify: Simplify 0 into 0 1538422308.940 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422308.941 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422308.946 * [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 1538422308.946 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422308.947 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422308.947 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422308.949 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538422308.951 * [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 1538422308.951 * [misc]taylor: Taking taylor expansion of 0 in k 1538422308.951 * [misc]backup-simplify: Simplify 0 into 0 1538422308.951 * [misc]backup-simplify: Simplify 0 into 0 1538422308.951 * [misc]backup-simplify: Simplify 0 into 0 1538422308.951 * [misc]backup-simplify: Simplify 0 into 0 1538422308.953 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422308.955 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422308.960 * [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 1538422308.960 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422308.960 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422308.960 * [misc]backup-simplify: Simplify (- 0) into 0 1538422308.961 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.961 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422308.962 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538422308.964 * [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 1538422308.964 * [misc]taylor: Taking taylor expansion of 0 in k 1538422308.964 * [misc]backup-simplify: Simplify 0 into 0 1538422308.964 * [misc]backup-simplify: Simplify 0 into 0 1538422308.964 * [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))))) 1538422308.965 * [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)) 1538422308.965 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538422308.965 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.965 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of k in k 1538422308.965 * [misc]backup-simplify: Simplify 0 into 0 1538422308.965 * [misc]backup-simplify: Simplify 1 into 1 1538422308.965 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422308.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.965 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of -2 in k 1538422308.965 * [misc]backup-simplify: Simplify -2 into -2 1538422308.965 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538422308.965 * [misc]taylor: Taking taylor expansion of PI in k 1538422308.965 * [misc]backup-simplify: Simplify PI into PI 1538422308.965 * [misc]taylor: Taking taylor expansion of n in k 1538422308.965 * [misc]backup-simplify: Simplify n into n 1538422308.965 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538422308.965 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538422308.965 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538422308.965 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422308.965 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422308.965 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538422308.966 * [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))) 1538422308.966 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of k in n 1538422308.966 * [misc]backup-simplify: Simplify k into k 1538422308.966 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422308.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.966 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of -2 in n 1538422308.966 * [misc]backup-simplify: Simplify -2 into -2 1538422308.966 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422308.966 * [misc]taylor: Taking taylor expansion of PI in n 1538422308.966 * [misc]backup-simplify: Simplify PI into PI 1538422308.966 * [misc]taylor: Taking taylor expansion of n in n 1538422308.966 * [misc]backup-simplify: Simplify 0 into 0 1538422308.966 * [misc]backup-simplify: Simplify 1 into 1 1538422308.966 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422308.966 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422308.967 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538422308.967 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422308.967 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422308.967 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422308.968 * [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))) 1538422308.968 * [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)))) 1538422308.968 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of k in n 1538422308.968 * [misc]backup-simplify: Simplify k into k 1538422308.968 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422308.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422308.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.968 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of -2 in n 1538422308.968 * [misc]backup-simplify: Simplify -2 into -2 1538422308.968 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422308.968 * [misc]taylor: Taking taylor expansion of PI in n 1538422308.968 * [misc]backup-simplify: Simplify PI into PI 1538422308.968 * [misc]taylor: Taking taylor expansion of n in n 1538422308.968 * [misc]backup-simplify: Simplify 0 into 0 1538422308.968 * [misc]backup-simplify: Simplify 1 into 1 1538422308.969 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422308.969 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422308.969 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538422308.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422308.969 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422308.970 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422308.970 * [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))) 1538422308.970 * [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)))) 1538422308.971 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.971 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of k in k 1538422308.971 * [misc]backup-simplify: Simplify 0 into 0 1538422308.971 * [misc]backup-simplify: Simplify 1 into 1 1538422308.971 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422308.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422308.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422308.971 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of -2 in k 1538422308.971 * [misc]backup-simplify: Simplify -2 into -2 1538422308.971 * [misc]taylor: Taking taylor expansion of PI in k 1538422308.971 * [misc]backup-simplify: Simplify PI into PI 1538422308.971 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422308.971 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538422308.971 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422308.971 * [misc]taylor: Taking taylor expansion of n in k 1538422308.971 * [misc]backup-simplify: Simplify n into n 1538422308.972 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422308.972 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422308.972 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422308.972 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422308.972 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538422308.972 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538422308.973 * [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)))) 1538422308.973 * [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)))) 1538422308.974 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538422308.974 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538422308.976 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538422308.976 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422308.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422308.976 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422308.977 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538422308.978 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422308.978 * [misc]taylor: Taking taylor expansion of 0 in k 1538422308.978 * [misc]backup-simplify: Simplify 0 into 0 1538422308.978 * [misc]backup-simplify: Simplify 0 into 0 1538422308.978 * [misc]backup-simplify: Simplify 0 into 0 1538422308.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422308.980 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422308.983 * [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 1538422308.983 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422308.983 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422308.983 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422308.984 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422308.985 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538422308.988 * [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 1538422308.988 * [misc]taylor: Taking taylor expansion of 0 in k 1538422308.988 * [misc]backup-simplify: Simplify 0 into 0 1538422308.988 * [misc]backup-simplify: Simplify 0 into 0 1538422308.988 * [misc]backup-simplify: Simplify 0 into 0 1538422308.988 * [misc]backup-simplify: Simplify 0 into 0 1538422308.990 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422308.992 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422309.001 * [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 1538422309.001 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422309.001 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422309.002 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.002 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422309.003 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1538422309.007 * [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 1538422309.007 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.007 * [misc]backup-simplify: Simplify 0 into 0 1538422309.007 * [misc]backup-simplify: Simplify 0 into 0 1538422309.008 * [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))))) 1538422309.008 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1538422309.008 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1538422309.008 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1538422309.008 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538422309.008 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.008 * [misc]backup-simplify: Simplify 2 into 2 1538422309.008 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422309.008 * [misc]taylor: Taking taylor expansion of n in n 1538422309.008 * [misc]backup-simplify: Simplify 0 into 0 1538422309.008 * [misc]backup-simplify: Simplify 1 into 1 1538422309.008 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.008 * [misc]backup-simplify: Simplify PI into PI 1538422309.008 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538422309.008 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.008 * [misc]backup-simplify: Simplify 2 into 2 1538422309.009 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422309.009 * [misc]taylor: Taking taylor expansion of n in n 1538422309.009 * [misc]backup-simplify: Simplify 0 into 0 1538422309.009 * [misc]backup-simplify: Simplify 1 into 1 1538422309.009 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.009 * [misc]backup-simplify: Simplify PI into PI 1538422309.421 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422309.421 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422309.421 * [misc]backup-simplify: Simplify 0 into 0 1538422309.422 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422309.423 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538422309.423 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422309.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538422309.425 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538422309.425 * [misc]backup-simplify: Simplify 0 into 0 1538422309.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422309.429 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538422309.429 * [misc]backup-simplify: Simplify 0 into 0 1538422309.433 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538422309.436 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538422309.436 * [misc]backup-simplify: Simplify 0 into 0 1538422309.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538422309.441 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1538422309.441 * [misc]backup-simplify: Simplify 0 into 0 1538422309.445 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538422309.448 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1538422309.448 * [misc]backup-simplify: Simplify 0 into 0 1538422309.453 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1538422309.456 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1538422309.456 * [misc]backup-simplify: Simplify 0 into 0 1538422309.457 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1538422309.457 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1538422309.457 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1538422309.457 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538422309.457 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.457 * [misc]backup-simplify: Simplify 2 into 2 1538422309.457 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.457 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.457 * [misc]backup-simplify: Simplify PI into PI 1538422309.457 * [misc]taylor: Taking taylor expansion of n in n 1538422309.457 * [misc]backup-simplify: Simplify 0 into 0 1538422309.457 * [misc]backup-simplify: Simplify 1 into 1 1538422309.457 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.457 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538422309.457 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.457 * [misc]backup-simplify: Simplify 2 into 2 1538422309.457 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.457 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.457 * [misc]backup-simplify: Simplify PI into PI 1538422309.457 * [misc]taylor: Taking taylor expansion of n in n 1538422309.457 * [misc]backup-simplify: Simplify 0 into 0 1538422309.457 * [misc]backup-simplify: Simplify 1 into 1 1538422309.457 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.458 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422309.458 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422309.459 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538422309.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538422309.459 * [misc]backup-simplify: Simplify 0 into 0 1538422309.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422309.460 * [misc]backup-simplify: Simplify 0 into 0 1538422309.461 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.462 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422309.462 * [misc]backup-simplify: Simplify 0 into 0 1538422309.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538422309.465 * [misc]backup-simplify: Simplify 0 into 0 1538422309.466 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.468 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538422309.468 * [misc]backup-simplify: Simplify 0 into 0 1538422309.469 * [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 1538422309.471 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538422309.471 * [misc]backup-simplify: Simplify 0 into 0 1538422309.471 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1538422309.472 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1538422309.472 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1538422309.472 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538422309.472 * [misc]taylor: Taking taylor expansion of -2 in n 1538422309.472 * [misc]backup-simplify: Simplify -2 into -2 1538422309.472 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.472 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.472 * [misc]backup-simplify: Simplify PI into PI 1538422309.472 * [misc]taylor: Taking taylor expansion of n in n 1538422309.472 * [misc]backup-simplify: Simplify 0 into 0 1538422309.472 * [misc]backup-simplify: Simplify 1 into 1 1538422309.472 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.472 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538422309.472 * [misc]taylor: Taking taylor expansion of -2 in n 1538422309.472 * [misc]backup-simplify: Simplify -2 into -2 1538422309.472 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.472 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.472 * [misc]backup-simplify: Simplify PI into PI 1538422309.472 * [misc]taylor: Taking taylor expansion of n in n 1538422309.472 * [misc]backup-simplify: Simplify 0 into 0 1538422309.472 * [misc]backup-simplify: Simplify 1 into 1 1538422309.472 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.472 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422309.473 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422309.473 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538422309.474 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538422309.474 * [misc]backup-simplify: Simplify 0 into 0 1538422309.475 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.475 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422309.475 * [misc]backup-simplify: Simplify 0 into 0 1538422309.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.477 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422309.477 * [misc]backup-simplify: Simplify 0 into 0 1538422309.478 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.479 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538422309.480 * [misc]backup-simplify: Simplify 0 into 0 1538422309.481 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.482 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538422309.483 * [misc]backup-simplify: Simplify 0 into 0 1538422309.485 * [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 1538422309.488 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538422309.488 * [misc]backup-simplify: Simplify 0 into 0 1538422309.489 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1538422309.489 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1538422309.489 * [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)))) 1538422309.489 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1538422309.489 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1538422309.489 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422309.489 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422309.489 * [misc]taylor: Taking taylor expansion of k in k 1538422309.489 * [misc]backup-simplify: Simplify 0 into 0 1538422309.489 * [misc]backup-simplify: Simplify 1 into 1 1538422309.490 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422309.490 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422309.490 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422309.491 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.491 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.491 * [misc]taylor: Taking taylor expansion of k in k 1538422309.491 * [misc]backup-simplify: Simplify 0 into 0 1538422309.491 * [misc]backup-simplify: Simplify 1 into 1 1538422309.491 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of 2 in k 1538422309.491 * [misc]backup-simplify: Simplify 2 into 2 1538422309.491 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538422309.491 * [misc]taylor: Taking taylor expansion of n in k 1538422309.491 * [misc]backup-simplify: Simplify n into n 1538422309.491 * [misc]taylor: Taking taylor expansion of PI in k 1538422309.491 * [misc]backup-simplify: Simplify PI into PI 1538422309.491 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538422309.491 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538422309.491 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538422309.492 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422309.492 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.492 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422309.492 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538422309.492 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538422309.492 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538422309.492 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538422309.492 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422309.492 * [misc]taylor: Taking taylor expansion of k in n 1538422309.492 * [misc]backup-simplify: Simplify k into k 1538422309.492 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422309.493 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538422309.493 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422309.493 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538422309.493 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.493 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.493 * [misc]taylor: Taking taylor expansion of k in n 1538422309.493 * [misc]backup-simplify: Simplify k into k 1538422309.493 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.493 * [misc]backup-simplify: Simplify 2 into 2 1538422309.493 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422309.493 * [misc]taylor: Taking taylor expansion of n in n 1538422309.493 * [misc]backup-simplify: Simplify 0 into 0 1538422309.493 * [misc]backup-simplify: Simplify 1 into 1 1538422309.493 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.493 * [misc]backup-simplify: Simplify PI into PI 1538422309.494 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422309.494 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422309.495 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422309.495 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538422309.496 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422309.496 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422309.496 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422309.496 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422309.497 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422309.497 * [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)))) 1538422309.498 * [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))))) 1538422309.498 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538422309.498 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538422309.498 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422309.498 * [misc]taylor: Taking taylor expansion of k in n 1538422309.498 * [misc]backup-simplify: Simplify k into k 1538422309.498 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422309.498 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538422309.499 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422309.499 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538422309.499 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.499 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.499 * [misc]taylor: Taking taylor expansion of k in n 1538422309.499 * [misc]backup-simplify: Simplify k into k 1538422309.499 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.499 * [misc]backup-simplify: Simplify 2 into 2 1538422309.499 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422309.499 * [misc]taylor: Taking taylor expansion of n in n 1538422309.499 * [misc]backup-simplify: Simplify 0 into 0 1538422309.499 * [misc]backup-simplify: Simplify 1 into 1 1538422309.499 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.499 * [misc]backup-simplify: Simplify PI into PI 1538422309.500 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422309.500 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422309.500 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422309.501 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538422309.502 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422309.502 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422309.502 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422309.502 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422309.503 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422309.503 * [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)))) 1538422309.504 * [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))))) 1538422309.505 * [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))) 1538422309.505 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.505 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.505 * [misc]taylor: Taking taylor expansion of k in k 1538422309.505 * [misc]backup-simplify: Simplify 0 into 0 1538422309.505 * [misc]backup-simplify: Simplify 1 into 1 1538422309.505 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of n in k 1538422309.505 * [misc]backup-simplify: Simplify n into n 1538422309.505 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422309.505 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538422309.505 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538422309.506 * [misc]taylor: Taking taylor expansion of 2 in k 1538422309.506 * [misc]backup-simplify: Simplify 2 into 2 1538422309.506 * [misc]taylor: Taking taylor expansion of PI in k 1538422309.506 * [misc]backup-simplify: Simplify PI into PI 1538422309.506 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422309.506 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422309.507 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422309.507 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.507 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422309.507 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422309.508 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538422309.509 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538422309.509 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422309.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422309.509 * [misc]taylor: Taking taylor expansion of k in k 1538422309.509 * [misc]backup-simplify: Simplify 0 into 0 1538422309.509 * [misc]backup-simplify: Simplify 1 into 1 1538422309.509 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422309.509 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422309.509 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422309.510 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1538422309.510 * [misc]backup-simplify: Simplify 0 into 0 1538422309.511 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538422309.512 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538422309.515 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538422309.515 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538422309.516 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.516 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.517 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422309.517 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538422309.519 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422309.519 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1538422309.520 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.520 * [misc]backup-simplify: Simplify 0 into 0 1538422309.520 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422309.521 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538422309.524 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538422309.524 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.524 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422309.525 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422309.525 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422309.525 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538422309.527 * [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))))))) 1538422309.529 * [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))))))) 1538422309.529 * [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))))))) 1538422309.531 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422309.533 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538422309.538 * [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 1538422309.538 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538422309.538 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.539 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422309.540 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538422309.542 * [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 1538422309.542 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422309.543 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538422309.544 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1538422309.544 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.544 * [misc]backup-simplify: Simplify 0 into 0 1538422309.544 * [misc]backup-simplify: Simplify 0 into 0 1538422309.544 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422309.545 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422309.547 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538422309.548 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422309.553 * [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 1538422309.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422309.554 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538422309.557 * [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))))) 1538422309.562 * [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)))))))) 1538422309.571 * [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)))))))) 1538422309.575 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538422309.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538422309.585 * [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 1538422309.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538422309.586 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.587 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538422309.588 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538422309.591 * [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 1538422309.592 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422309.592 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538422309.593 * [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 1538422309.593 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.593 * [misc]backup-simplify: Simplify 0 into 0 1538422309.593 * [misc]backup-simplify: Simplify 0 into 0 1538422309.593 * [misc]backup-simplify: Simplify 0 into 0 1538422309.593 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.595 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422309.597 * [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 1538422309.599 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422309.607 * [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 1538422309.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.607 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422309.607 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.608 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538422309.612 * [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))))))) 1538422309.621 * [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)))))))))))))) 1538422309.628 * [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)))))))))))))) 1538422309.639 * [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)))))))))))))))))))))) 1538422309.639 * [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))))) 1538422309.639 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1538422309.639 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538422309.639 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422309.639 * [misc]taylor: Taking taylor expansion of k in k 1538422309.639 * [misc]backup-simplify: Simplify 0 into 0 1538422309.639 * [misc]backup-simplify: Simplify 1 into 1 1538422309.640 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422309.640 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422309.640 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422309.640 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538422309.640 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538422309.640 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422309.640 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.640 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422309.640 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.640 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422309.640 * [misc]taylor: Taking taylor expansion of k in k 1538422309.641 * [misc]backup-simplify: Simplify 0 into 0 1538422309.641 * [misc]backup-simplify: Simplify 1 into 1 1538422309.641 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422309.641 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538422309.641 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538422309.641 * [misc]taylor: Taking taylor expansion of 2 in k 1538422309.641 * [misc]backup-simplify: Simplify 2 into 2 1538422309.641 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538422309.641 * [misc]taylor: Taking taylor expansion of PI in k 1538422309.641 * [misc]backup-simplify: Simplify PI into PI 1538422309.641 * [misc]taylor: Taking taylor expansion of n in k 1538422309.641 * [misc]backup-simplify: Simplify n into n 1538422309.641 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538422309.641 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538422309.641 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538422309.641 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422309.642 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422309.642 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422309.642 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538422309.642 * [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)))) 1538422309.642 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422309.642 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538422309.642 * [misc]taylor: Taking taylor expansion of k in n 1538422309.642 * [misc]backup-simplify: Simplify k into k 1538422309.642 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538422309.642 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538422309.642 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422309.642 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538422309.642 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538422309.642 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422309.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.643 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422309.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.643 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422309.643 * [misc]taylor: Taking taylor expansion of k in n 1538422309.643 * [misc]backup-simplify: Simplify k into k 1538422309.643 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422309.643 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538422309.643 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538422309.643 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.643 * [misc]backup-simplify: Simplify 2 into 2 1538422309.643 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.643 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.643 * [misc]backup-simplify: Simplify PI into PI 1538422309.643 * [misc]taylor: Taking taylor expansion of n in n 1538422309.643 * [misc]backup-simplify: Simplify 0 into 0 1538422309.643 * [misc]backup-simplify: Simplify 1 into 1 1538422309.643 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.644 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422309.644 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422309.644 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422309.644 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422309.644 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422309.645 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422309.646 * [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))) 1538422309.646 * [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)))) 1538422309.646 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422309.646 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538422309.646 * [misc]taylor: Taking taylor expansion of k in n 1538422309.646 * [misc]backup-simplify: Simplify k into k 1538422309.646 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538422309.646 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538422309.646 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.647 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.647 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of k in n 1538422309.647 * [misc]backup-simplify: Simplify k into k 1538422309.647 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422309.647 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of 2 in n 1538422309.647 * [misc]backup-simplify: Simplify 2 into 2 1538422309.647 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.647 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.647 * [misc]backup-simplify: Simplify PI into PI 1538422309.647 * [misc]taylor: Taking taylor expansion of n in n 1538422309.647 * [misc]backup-simplify: Simplify 0 into 0 1538422309.647 * [misc]backup-simplify: Simplify 1 into 1 1538422309.647 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.648 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422309.648 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422309.648 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422309.648 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422309.648 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422309.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422309.650 * [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))) 1538422309.650 * [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)))) 1538422309.651 * [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)) 1538422309.651 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1538422309.651 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538422309.651 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538422309.651 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422309.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.651 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422309.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422309.651 * [misc]taylor: Taking taylor expansion of k in k 1538422309.651 * [misc]backup-simplify: Simplify 0 into 0 1538422309.652 * [misc]backup-simplify: Simplify 1 into 1 1538422309.652 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422309.652 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538422309.652 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538422309.652 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538422309.652 * [misc]taylor: Taking taylor expansion of 2 in k 1538422309.652 * [misc]backup-simplify: Simplify 2 into 2 1538422309.652 * [misc]taylor: Taking taylor expansion of PI in k 1538422309.652 * [misc]backup-simplify: Simplify PI into PI 1538422309.652 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538422309.653 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538422309.653 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422309.653 * [misc]taylor: Taking taylor expansion of n in k 1538422309.653 * [misc]backup-simplify: Simplify n into n 1538422309.653 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422309.653 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422309.653 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422309.653 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422309.653 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422309.654 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538422309.654 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538422309.655 * [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)))) 1538422309.655 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422309.655 * [misc]taylor: Taking taylor expansion of k in k 1538422309.655 * [misc]backup-simplify: Simplify 0 into 0 1538422309.655 * [misc]backup-simplify: Simplify 1 into 1 1538422309.655 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422309.656 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422309.656 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1538422309.656 * [misc]backup-simplify: Simplify 0 into 0 1538422309.658 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538422309.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538422309.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538422309.661 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422309.661 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422309.661 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.662 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422309.663 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538422309.665 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422309.665 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1538422309.665 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.665 * [misc]backup-simplify: Simplify 0 into 0 1538422309.665 * [misc]backup-simplify: Simplify 0 into 0 1538422309.666 * [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)))))) 1538422309.667 * [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)))))) 1538422309.668 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.669 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422309.674 * [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 1538422309.675 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422309.675 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422309.675 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.675 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.676 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422309.677 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538422309.679 * [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 1538422309.680 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538422309.681 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1538422309.681 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.681 * [misc]backup-simplify: Simplify 0 into 0 1538422309.681 * [misc]backup-simplify: Simplify 0 into 0 1538422309.681 * [misc]backup-simplify: Simplify 0 into 0 1538422309.682 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422309.683 * [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)))))) 1538422309.684 * [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)))))) 1538422309.686 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.688 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538422309.696 * [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 1538422309.696 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422309.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422309.696 * [misc]backup-simplify: Simplify (- 0) into 0 1538422309.697 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.697 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538422309.698 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538422309.702 * [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 1538422309.702 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538422309.703 * [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 1538422309.703 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.703 * [misc]backup-simplify: Simplify 0 into 0 1538422309.703 * [misc]backup-simplify: Simplify 0 into 0 1538422309.703 * [misc]backup-simplify: Simplify 0 into 0 1538422309.703 * [misc]backup-simplify: Simplify 0 into 0 1538422309.705 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422309.706 * [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)))))) 1538422309.706 * [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)))))) 1538422309.709 * [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)))))))) 1538422309.709 * [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))) 1538422309.710 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538422309.710 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.710 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of k in k 1538422309.710 * [misc]backup-simplify: Simplify 0 into 0 1538422309.710 * [misc]backup-simplify: Simplify 1 into 1 1538422309.710 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422309.710 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.710 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of -2 in k 1538422309.710 * [misc]backup-simplify: Simplify -2 into -2 1538422309.710 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538422309.710 * [misc]taylor: Taking taylor expansion of PI in k 1538422309.710 * [misc]backup-simplify: Simplify PI into PI 1538422309.710 * [misc]taylor: Taking taylor expansion of n in k 1538422309.710 * [misc]backup-simplify: Simplify n into n 1538422309.710 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538422309.711 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538422309.711 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538422309.711 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422309.711 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422309.711 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538422309.711 * [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))) 1538422309.711 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422309.711 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422309.711 * [misc]taylor: Taking taylor expansion of -1 in k 1538422309.711 * [misc]backup-simplify: Simplify -1 into -1 1538422309.711 * [misc]taylor: Taking taylor expansion of k in k 1538422309.711 * [misc]backup-simplify: Simplify 0 into 0 1538422309.711 * [misc]backup-simplify: Simplify 1 into 1 1538422309.712 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422309.712 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422309.712 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422309.713 * [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)))) 1538422309.713 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of k in n 1538422309.713 * [misc]backup-simplify: Simplify k into k 1538422309.713 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422309.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.713 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of -2 in n 1538422309.713 * [misc]backup-simplify: Simplify -2 into -2 1538422309.713 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.713 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.713 * [misc]backup-simplify: Simplify PI into PI 1538422309.713 * [misc]taylor: Taking taylor expansion of n in n 1538422309.713 * [misc]backup-simplify: Simplify 0 into 0 1538422309.713 * [misc]backup-simplify: Simplify 1 into 1 1538422309.714 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.714 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422309.714 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538422309.715 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422309.715 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422309.715 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422309.716 * [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))) 1538422309.716 * [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)))) 1538422309.717 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422309.717 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422309.717 * [misc]taylor: Taking taylor expansion of -1 in n 1538422309.717 * [misc]backup-simplify: Simplify -1 into -1 1538422309.717 * [misc]taylor: Taking taylor expansion of k in n 1538422309.717 * [misc]backup-simplify: Simplify k into k 1538422309.717 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422309.717 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422309.717 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422309.717 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422309.718 * [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))) 1538422309.718 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.718 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of k in n 1538422309.718 * [misc]backup-simplify: Simplify k into k 1538422309.718 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422309.718 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422309.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.718 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of -2 in n 1538422309.718 * [misc]backup-simplify: Simplify -2 into -2 1538422309.718 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538422309.718 * [misc]taylor: Taking taylor expansion of PI in n 1538422309.718 * [misc]backup-simplify: Simplify PI into PI 1538422309.718 * [misc]taylor: Taking taylor expansion of n in n 1538422309.718 * [misc]backup-simplify: Simplify 0 into 0 1538422309.718 * [misc]backup-simplify: Simplify 1 into 1 1538422309.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538422309.719 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422309.719 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538422309.719 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422309.720 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422309.720 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422309.721 * [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))) 1538422309.721 * [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)))) 1538422309.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422309.722 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422309.722 * [misc]taylor: Taking taylor expansion of -1 in n 1538422309.722 * [misc]backup-simplify: Simplify -1 into -1 1538422309.722 * [misc]taylor: Taking taylor expansion of k in n 1538422309.722 * [misc]backup-simplify: Simplify k into k 1538422309.722 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422309.722 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422309.722 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422309.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422309.723 * [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))) 1538422309.723 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of k in k 1538422309.723 * [misc]backup-simplify: Simplify 0 into 0 1538422309.723 * [misc]backup-simplify: Simplify 1 into 1 1538422309.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422309.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422309.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422309.723 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538422309.723 * [misc]taylor: Taking taylor expansion of -2 in k 1538422309.723 * [misc]backup-simplify: Simplify -2 into -2 1538422309.724 * [misc]taylor: Taking taylor expansion of PI in k 1538422309.724 * [misc]backup-simplify: Simplify PI into PI 1538422309.724 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538422309.724 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538422309.724 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422309.724 * [misc]taylor: Taking taylor expansion of n in k 1538422309.724 * [misc]backup-simplify: Simplify n into n 1538422309.724 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422309.725 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422309.725 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422309.725 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422309.725 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538422309.726 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538422309.726 * [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)))) 1538422309.726 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422309.726 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422309.726 * [misc]taylor: Taking taylor expansion of -1 in k 1538422309.726 * [misc]backup-simplify: Simplify -1 into -1 1538422309.726 * [misc]taylor: Taking taylor expansion of k in k 1538422309.726 * [misc]backup-simplify: Simplify 0 into 0 1538422309.727 * [misc]backup-simplify: Simplify 1 into 1 1538422309.727 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422309.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422309.727 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422309.728 * [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))))) 1538422309.729 * [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))))) 1538422309.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538422309.730 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538422309.734 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538422309.734 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422309.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422309.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.736 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422309.736 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538422309.738 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422309.739 * [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 1538422309.739 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.739 * [misc]backup-simplify: Simplify 0 into 0 1538422309.739 * [misc]backup-simplify: Simplify 0 into 0 1538422309.739 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538422309.740 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422309.741 * [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)))))) 1538422309.742 * [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)))))) 1538422309.744 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.745 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538422309.750 * [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 1538422309.751 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422309.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422309.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422309.752 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538422309.753 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538422309.755 * [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 1538422309.756 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422309.756 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538422309.757 * [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 1538422309.757 * [misc]taylor: Taking taylor expansion of 0 in k 1538422309.757 * [misc]backup-simplify: Simplify 0 into 0 1538422309.757 * [misc]backup-simplify: Simplify 0 into 0 1538422309.758 * [misc]backup-simplify: Simplify 0 into 0 1538422309.758 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422309.759 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422309.761 * [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)))))) 1538422309.762 * [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)))))) 1538422309.764 * [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))))))))))) 1538422309.764 * * * [misc]progress: simplifying candidates 1538422309.764 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1538422309.765 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1538422309.765 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1538422309.765 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1538422309.765 * * [misc]simplify: iters left: 6 (11 enodes) 1538422309.769 * * [misc]simplify: iters left: 5 (21 enodes) 1538422309.776 * * [misc]simplify: iters left: 4 (47 enodes) 1538422309.794 * * [misc]simplify: iters left: 3 (113 enodes) 1538422309.856 * * [misc]simplify: iters left: 2 (328 enodes) 1538422310.226 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1538422310.226 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1538422310.226 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1538422310.226 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1538422310.227 * [enter]simplify: Simplifying (* PI (* n 2)) 1538422310.227 * * [misc]simplify: iters left: 4 (5 enodes) 1538422310.228 * * [misc]simplify: iters left: 3 (9 enodes) 1538422310.231 * * [misc]simplify: iters left: 2 (15 enodes) 1538422310.235 * * [misc]simplify: iters left: 1 (17 enodes) 1538422310.239 * [exit]simplify: Simplified to (* (* 2 n) PI) 1538422310.240 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1538422310.240 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1538422310.240 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1538422310.240 * * [misc]simplify: iters left: 5 (8 enodes) 1538422310.243 * * [misc]simplify: iters left: 4 (12 enodes) 1538422310.250 * * [misc]simplify: iters left: 3 (18 enodes) 1538422310.256 * * [misc]simplify: iters left: 2 (20 enodes) 1538422310.261 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1538422310.261 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1538422310.261 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1538422310.261 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538422310.262 * * [misc]simplify: iters left: 5 (6 enodes) 1538422310.263 * * [misc]simplify: iters left: 4 (8 enodes) 1538422310.266 * * [misc]simplify: iters left: 3 (11 enodes) 1538422310.269 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538422310.269 * [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))) 1538422310.269 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1538422310.269 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538422310.269 * * [misc]simplify: iters left: 5 (6 enodes) 1538422310.271 * * [misc]simplify: iters left: 4 (8 enodes) 1538422310.274 * * [misc]simplify: iters left: 3 (11 enodes) 1538422310.277 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538422310.277 * [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))) 1538422310.277 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1538422310.277 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538422310.277 * * [misc]simplify: iters left: 4 (5 enodes) 1538422310.279 * * [misc]simplify: iters left: 3 (7 enodes) 1538422310.281 * * [misc]simplify: iters left: 2 (10 enodes) 1538422310.284 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538422310.284 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1538422310.284 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1538422310.284 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538422310.284 * * [misc]simplify: iters left: 5 (9 enodes) 1538422310.287 * * [misc]simplify: iters left: 4 (15 enodes) 1538422310.289 * * [misc]simplify: iters left: 3 (21 enodes) 1538422310.292 * * [misc]simplify: iters left: 2 (22 enodes) 1538422310.295 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538422310.295 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538422310.295 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1538422310.295 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538422310.295 * * [misc]simplify: iters left: 5 (9 enodes) 1538422310.296 * * [misc]simplify: iters left: 4 (15 enodes) 1538422310.299 * * [misc]simplify: iters left: 3 (21 enodes) 1538422310.301 * * [misc]simplify: iters left: 2 (22 enodes) 1538422310.304 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538422310.304 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538422310.304 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1538422310.304 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538422310.304 * * [misc]simplify: iters left: 5 (7 enodes) 1538422310.305 * * [misc]simplify: iters left: 4 (9 enodes) 1538422310.307 * * [misc]simplify: iters left: 3 (12 enodes) 1538422310.308 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538422310.308 * [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))) 1538422310.308 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1538422310.308 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1538422310.308 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1538422310.308 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1538422310.308 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1538422310.309 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1538422310.309 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538422310.309 * * [misc]simplify: iters left: 6 (14 enodes) 1538422310.312 * * [misc]simplify: iters left: 5 (27 enodes) 1538422310.316 * * [misc]simplify: iters left: 4 (55 enodes) 1538422310.331 * * [misc]simplify: iters left: 3 (144 enodes) 1538422310.435 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538422310.435 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1538422310.435 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1538422310.435 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538422310.435 * * [misc]simplify: iters left: 6 (14 enodes) 1538422310.440 * * [misc]simplify: iters left: 5 (27 enodes) 1538422310.444 * * [misc]simplify: iters left: 4 (55 enodes) 1538422310.455 * * [misc]simplify: iters left: 3 (144 enodes) 1538422310.549 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538422310.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1538422310.549 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1538422310.549 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538422310.550 * * [misc]simplify: iters left: 6 (14 enodes) 1538422310.554 * * [misc]simplify: iters left: 5 (24 enodes) 1538422310.562 * * [misc]simplify: iters left: 4 (43 enodes) 1538422310.574 * * [misc]simplify: iters left: 3 (73 enodes) 1538422310.612 * * [misc]simplify: iters left: 2 (220 enodes) 1538422310.811 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1538422310.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1538422310.811 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1538422310.811 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1538422310.811 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1538422310.811 * [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))) 1538422310.812 * * [misc]simplify: iters left: 6 (16 enodes) 1538422310.814 * * [misc]simplify: iters left: 5 (31 enodes) 1538422310.819 * * [misc]simplify: iters left: 4 (67 enodes) 1538422310.840 * * [misc]simplify: iters left: 3 (124 enodes) 1538422310.863 * * [misc]simplify: iters left: 2 (195 enodes) 1538422310.907 * * [misc]simplify: iters left: 1 (309 enodes) 1538422311.025 * [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)))) 1538422311.025 * [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)))))) 1538422311.025 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1538422311.025 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1538422311.025 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1538422311.025 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1538422311.025 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1538422311.025 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.025 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.027 * * [misc]simplify: iters left: 5 (19 enodes) 1538422311.032 * * [misc]simplify: iters left: 4 (25 enodes) 1538422311.039 * * [misc]simplify: iters left: 3 (26 enodes) 1538422311.046 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.046 * [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))))) 1538422311.047 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538422311.047 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.051 * * [misc]simplify: iters left: 5 (18 enodes) 1538422311.056 * * [misc]simplify: iters left: 4 (24 enodes) 1538422311.059 * * [misc]simplify: iters left: 3 (25 enodes) 1538422311.062 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538422311.062 * [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))))) 1538422311.062 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1538422311.063 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538422311.063 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.064 * * [misc]simplify: iters left: 5 (16 enodes) 1538422311.066 * * [misc]simplify: iters left: 4 (22 enodes) 1538422311.069 * * [misc]simplify: iters left: 3 (24 enodes) 1538422311.072 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538422311.072 * [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))))) 1538422311.072 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538422311.072 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.074 * * [misc]simplify: iters left: 5 (18 enodes) 1538422311.076 * * [misc]simplify: iters left: 4 (24 enodes) 1538422311.079 * * [misc]simplify: iters left: 3 (25 enodes) 1538422311.082 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538422311.082 * [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))))) 1538422311.083 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1538422311.083 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538422311.083 * * [misc]simplify: iters left: 6 (9 enodes) 1538422311.084 * * [misc]simplify: iters left: 5 (16 enodes) 1538422311.087 * * [misc]simplify: iters left: 4 (24 enodes) 1538422311.093 * * [misc]simplify: iters left: 3 (26 enodes) 1538422311.099 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538422311.099 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538422311.099 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538422311.099 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.103 * * [misc]simplify: iters left: 5 (17 enodes) 1538422311.107 * * [misc]simplify: iters left: 4 (23 enodes) 1538422311.113 * * [misc]simplify: iters left: 3 (24 enodes) 1538422311.117 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538422311.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538422311.117 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1538422311.117 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.117 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.119 * * [misc]simplify: iters left: 5 (19 enodes) 1538422311.122 * * [misc]simplify: iters left: 4 (25 enodes) 1538422311.125 * * [misc]simplify: iters left: 3 (26 enodes) 1538422311.128 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.128 * [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))))) 1538422311.128 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538422311.128 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.130 * * [misc]simplify: iters left: 5 (18 enodes) 1538422311.133 * * [misc]simplify: iters left: 4 (24 enodes) 1538422311.136 * * [misc]simplify: iters left: 3 (25 enodes) 1538422311.139 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538422311.139 * [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))))) 1538422311.139 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1538422311.139 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538422311.139 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.141 * * [misc]simplify: iters left: 5 (16 enodes) 1538422311.143 * * [misc]simplify: iters left: 4 (22 enodes) 1538422311.145 * * [misc]simplify: iters left: 3 (24 enodes) 1538422311.148 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538422311.148 * [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))))) 1538422311.148 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538422311.149 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.150 * * [misc]simplify: iters left: 5 (18 enodes) 1538422311.154 * * [misc]simplify: iters left: 4 (24 enodes) 1538422311.160 * * [misc]simplify: iters left: 3 (25 enodes) 1538422311.166 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538422311.166 * [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))))) 1538422311.166 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1538422311.167 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538422311.167 * * [misc]simplify: iters left: 6 (9 enodes) 1538422311.170 * * [misc]simplify: iters left: 5 (16 enodes) 1538422311.175 * * [misc]simplify: iters left: 4 (24 enodes) 1538422311.181 * * [misc]simplify: iters left: 3 (26 enodes) 1538422311.186 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538422311.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538422311.186 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538422311.186 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.190 * * [misc]simplify: iters left: 5 (17 enodes) 1538422311.194 * * [misc]simplify: iters left: 4 (23 enodes) 1538422311.202 * * [misc]simplify: iters left: 3 (24 enodes) 1538422311.207 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538422311.207 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538422311.207 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1538422311.208 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.208 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.209 * * [misc]simplify: iters left: 5 (15 enodes) 1538422311.211 * * [misc]simplify: iters left: 4 (18 enodes) 1538422311.214 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.214 * [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))))) 1538422311.214 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538422311.214 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.216 * * [misc]simplify: iters left: 5 (14 enodes) 1538422311.217 * * [misc]simplify: iters left: 4 (17 enodes) 1538422311.220 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538422311.220 * [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))))) 1538422311.220 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1538422311.220 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422311.220 * * [misc]simplify: iters left: 6 (10 enodes) 1538422311.221 * * [misc]simplify: iters left: 5 (12 enodes) 1538422311.223 * * [misc]simplify: iters left: 4 (15 enodes) 1538422311.225 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422311.225 * [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))))) 1538422311.225 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422311.225 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.227 * * [misc]simplify: iters left: 5 (14 enodes) 1538422311.229 * * [misc]simplify: iters left: 4 (17 enodes) 1538422311.232 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422311.232 * [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))))) 1538422311.232 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1538422311.232 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1538422311.232 * * [misc]simplify: iters left: 6 (9 enodes) 1538422311.233 * * [misc]simplify: iters left: 5 (13 enodes) 1538422311.236 * * [misc]simplify: iters left: 4 (18 enodes) 1538422311.238 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538422311.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538422311.238 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538422311.238 * * [misc]simplify: iters left: 6 (10 enodes) 1538422311.239 * * [misc]simplify: iters left: 5 (13 enodes) 1538422311.243 * * [misc]simplify: iters left: 4 (16 enodes) 1538422311.248 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538422311.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538422311.248 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1538422311.248 * [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)))) 1538422311.249 * * [misc]simplify: iters left: 6 (16 enodes) 1538422311.254 * * [misc]simplify: iters left: 5 (28 enodes) 1538422311.263 * * [misc]simplify: iters left: 4 (46 enodes) 1538422311.275 * * [misc]simplify: iters left: 3 (50 enodes) 1538422311.287 * * [misc]simplify: iters left: 2 (53 enodes) 1538422311.301 * [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)))) 1538422311.301 * [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))))) 1538422311.301 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538422311.301 * * [misc]simplify: iters left: 6 (14 enodes) 1538422311.305 * * [misc]simplify: iters left: 5 (20 enodes) 1538422311.311 * * [misc]simplify: iters left: 4 (29 enodes) 1538422311.320 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.328 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538422311.328 * [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))))) 1538422311.328 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1538422311.328 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422311.328 * * [misc]simplify: iters left: 6 (15 enodes) 1538422311.333 * * [misc]simplify: iters left: 5 (23 enodes) 1538422311.341 * * [misc]simplify: iters left: 4 (34 enodes) 1538422311.350 * * [misc]simplify: iters left: 3 (37 enodes) 1538422311.360 * [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)))))) 1538422311.360 * [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))))) 1538422311.360 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422311.360 * * [misc]simplify: iters left: 6 (14 enodes) 1538422311.364 * * [misc]simplify: iters left: 5 (20 enodes) 1538422311.370 * * [misc]simplify: iters left: 4 (29 enodes) 1538422311.377 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.384 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422311.384 * [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))))) 1538422311.384 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1538422311.384 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1538422311.385 * * [misc]simplify: iters left: 6 (14 enodes) 1538422311.389 * * [misc]simplify: iters left: 5 (24 enodes) 1538422311.397 * * [misc]simplify: iters left: 4 (39 enodes) 1538422311.408 * * [misc]simplify: iters left: 3 (54 enodes) 1538422311.421 * * [misc]simplify: iters left: 2 (80 enodes) 1538422311.443 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1538422311.443 * [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)))) 1538422311.443 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538422311.443 * * [misc]simplify: iters left: 6 (13 enodes) 1538422311.447 * * [misc]simplify: iters left: 5 (19 enodes) 1538422311.453 * * [misc]simplify: iters left: 4 (28 enodes) 1538422311.461 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.470 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538422311.470 * [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)))) 1538422311.470 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1538422311.470 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.470 * * [misc]simplify: iters left: 6 (15 enodes) 1538422311.475 * * [misc]simplify: iters left: 5 (23 enodes) 1538422311.481 * * [misc]simplify: iters left: 4 (32 enodes) 1538422311.490 * * [misc]simplify: iters left: 3 (34 enodes) 1538422311.499 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.499 * [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))))) 1538422311.499 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538422311.499 * * [misc]simplify: iters left: 6 (14 enodes) 1538422311.503 * * [misc]simplify: iters left: 5 (20 enodes) 1538422311.509 * * [misc]simplify: iters left: 4 (29 enodes) 1538422311.516 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.524 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538422311.524 * [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))))) 1538422311.524 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1538422311.524 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422311.524 * * [misc]simplify: iters left: 6 (14 enodes) 1538422311.529 * * [misc]simplify: iters left: 5 (20 enodes) 1538422311.534 * * [misc]simplify: iters left: 4 (29 enodes) 1538422311.541 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.544 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422311.544 * [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))))) 1538422311.545 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422311.545 * * [misc]simplify: iters left: 6 (14 enodes) 1538422311.547 * * [misc]simplify: iters left: 5 (20 enodes) 1538422311.549 * * [misc]simplify: iters left: 4 (29 enodes) 1538422311.553 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.556 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422311.557 * [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))))) 1538422311.557 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1538422311.557 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1538422311.557 * * [misc]simplify: iters left: 6 (13 enodes) 1538422311.559 * * [misc]simplify: iters left: 5 (21 enodes) 1538422311.562 * * [misc]simplify: iters left: 4 (32 enodes) 1538422311.566 * * [misc]simplify: iters left: 3 (33 enodes) 1538422311.570 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1538422311.570 * [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)))) 1538422311.570 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538422311.570 * * [misc]simplify: iters left: 6 (13 enodes) 1538422311.572 * * [misc]simplify: iters left: 5 (19 enodes) 1538422311.576 * * [misc]simplify: iters left: 4 (28 enodes) 1538422311.579 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.583 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538422311.583 * [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)))) 1538422311.583 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1538422311.583 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422311.583 * * [misc]simplify: iters left: 6 (6 enodes) 1538422311.584 * * [misc]simplify: iters left: 5 (10 enodes) 1538422311.585 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538422311.585 * [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))))) 1538422311.585 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538422311.586 * * [misc]simplify: iters left: 6 (13 enodes) 1538422311.587 * * [misc]simplify: iters left: 5 (19 enodes) 1538422311.590 * * [misc]simplify: iters left: 4 (28 enodes) 1538422311.594 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.597 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538422311.598 * [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))))) 1538422311.598 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1538422311.598 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538422311.598 * * [misc]simplify: iters left: 4 (5 enodes) 1538422311.599 * * [misc]simplify: iters left: 3 (7 enodes) 1538422311.600 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538422311.600 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538422311.600 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422311.600 * * [misc]simplify: iters left: 6 (13 enodes) 1538422311.602 * * [misc]simplify: iters left: 5 (19 enodes) 1538422311.605 * * [misc]simplify: iters left: 4 (28 enodes) 1538422311.609 * * [misc]simplify: iters left: 3 (30 enodes) 1538422311.612 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422311.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538422311.612 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1538422311.612 * [enter]simplify: Simplifying (/ 1 1) 1538422311.612 * * [misc]simplify: iters left: 2 (2 enodes) 1538422311.613 * * [misc]simplify: iters left: 1 (4 enodes) 1538422311.613 * [exit]simplify: Simplified to 1 1538422311.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538422311.613 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538422311.613 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.615 * * [misc]simplify: iters left: 5 (18 enodes) 1538422311.617 * * [misc]simplify: iters left: 4 (27 enodes) 1538422311.621 * * [misc]simplify: iters left: 3 (29 enodes) 1538422311.624 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538422311.624 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538422311.624 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1538422311.624 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1538422311.624 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1538422311.624 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1538422311.625 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538422311.625 * * [misc]simplify: iters left: 2 (3 enodes) 1538422311.625 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538422311.625 * [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)))) 1538422311.625 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1538422311.625 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538422311.625 * * [misc]simplify: iters left: 2 (3 enodes) 1538422311.626 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538422311.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1538422311.626 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1538422311.626 * [enter]simplify: Simplifying (sqrt k) 1538422311.626 * * [misc]simplify: iters left: 1 (2 enodes) 1538422311.626 * [exit]simplify: Simplified to (sqrt k) 1538422311.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1538422311.626 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1538422311.626 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538422311.626 * * [misc]simplify: iters left: 5 (7 enodes) 1538422311.628 * * [misc]simplify: iters left: 4 (12 enodes) 1538422311.629 * * [misc]simplify: iters left: 3 (18 enodes) 1538422311.631 * * [misc]simplify: iters left: 2 (20 enodes) 1538422311.633 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538422311.634 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538422311.634 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1538422311.634 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538422311.634 * * [misc]simplify: iters left: 5 (7 enodes) 1538422311.635 * * [misc]simplify: iters left: 4 (12 enodes) 1538422311.636 * * [misc]simplify: iters left: 3 (18 enodes) 1538422311.639 * * [misc]simplify: iters left: 2 (20 enodes) 1538422311.643 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538422311.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538422311.643 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1538422311.643 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538422311.643 * * [misc]simplify: iters left: 5 (7 enodes) 1538422311.645 * * [misc]simplify: iters left: 4 (9 enodes) 1538422311.648 * * [misc]simplify: iters left: 3 (12 enodes) 1538422311.651 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538422311.651 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422311.651 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1538422311.651 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1538422311.651 * * [misc]simplify: iters left: 6 (12 enodes) 1538422311.656 * * [misc]simplify: iters left: 5 (18 enodes) 1538422311.661 * * [misc]simplify: iters left: 4 (27 enodes) 1538422311.667 * * [misc]simplify: iters left: 3 (29 enodes) 1538422311.671 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538422311.671 * [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))))))) 1538422311.671 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1538422311.671 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1538422311.671 * * [misc]simplify: iters left: 6 (11 enodes) 1538422311.673 * * [misc]simplify: iters left: 5 (17 enodes) 1538422311.675 * * [misc]simplify: iters left: 4 (26 enodes) 1538422311.678 * * [misc]simplify: iters left: 3 (27 enodes) 1538422311.682 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1538422311.682 * [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))))))) 1538422311.682 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1538422311.682 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1538422311.682 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538422311.682 * * [misc]simplify: iters left: 5 (7 enodes) 1538422311.683 * * [misc]simplify: iters left: 4 (12 enodes) 1538422311.684 * * [misc]simplify: iters left: 3 (18 enodes) 1538422311.687 * * [misc]simplify: iters left: 2 (20 enodes) 1538422311.689 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538422311.689 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1538422311.689 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1538422311.689 * [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))))) 1538422311.690 * * [misc]simplify: iters left: 6 (37 enodes) 1538422311.697 * * [misc]simplify: iters left: 5 (108 enodes) 1538422311.730 * * [misc]simplify: iters left: 4 (368 enodes) 1538422311.911 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1538422311.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1538422311.911 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1538422311.911 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1538422311.912 * * [misc]simplify: iters left: 6 (15 enodes) 1538422311.918 * * [misc]simplify: iters left: 5 (33 enodes) 1538422311.924 * * [misc]simplify: iters left: 4 (64 enodes) 1538422311.936 * * [misc]simplify: iters left: 3 (179 enodes) 1538422312.005 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1538422312.005 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1538422312.005 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1538422312.005 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1538422312.006 * * [misc]simplify: iters left: 6 (15 enodes) 1538422312.008 * * [misc]simplify: iters left: 5 (30 enodes) 1538422312.014 * * [misc]simplify: iters left: 4 (65 enodes) 1538422312.030 * * [misc]simplify: iters left: 3 (208 enodes) 1538422312.131 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1538422312.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1538422312.131 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1538422312.132 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538422312.132 * * [misc]simplify: iters left: 4 (5 enodes) 1538422312.132 * * [misc]simplify: iters left: 3 (9 enodes) 1538422312.134 * * [misc]simplify: iters left: 2 (15 enodes) 1538422312.136 * * [misc]simplify: iters left: 1 (17 enodes) 1538422312.137 * [exit]simplify: Simplified to (* (* PI n) 2) 1538422312.137 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538422312.137 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1538422312.138 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538422312.138 * * [misc]simplify: iters left: 4 (5 enodes) 1538422312.138 * * [misc]simplify: iters left: 3 (9 enodes) 1538422312.140 * * [misc]simplify: iters left: 2 (15 enodes) 1538422312.142 * * [misc]simplify: iters left: 1 (17 enodes) 1538422312.143 * [exit]simplify: Simplified to (* (* PI n) 2) 1538422312.143 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538422312.143 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1538422312.144 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538422312.144 * * [misc]simplify: iters left: 4 (5 enodes) 1538422312.144 * * [misc]simplify: iters left: 3 (9 enodes) 1538422312.146 * * [misc]simplify: iters left: 2 (15 enodes) 1538422312.148 * * [misc]simplify: iters left: 1 (17 enodes) 1538422312.149 * [exit]simplify: Simplified to (* (* PI n) 2) 1538422312.149 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538422312.149 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1538422312.150 * [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)))))))))))))))))))))) 1538422312.150 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422312.150 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1538422312.150 * [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)))))))) 1538422312.150 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422312.150 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1538422312.150 * [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))))))))))) 1538422312.150 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422312.150 * * * [misc]progress: adding candidates to table 1538422313.061 * * [misc]progress: iteration 2 / 4 1538422313.061 * * * [misc]progress: picking best candidate 1538422313.132 * * * * [misc]pick: Picked # 1538422313.132 * * * [misc]progress: localizing error 1538422313.162 * * * [misc]progress: generating rewritten candidates 1538422313.162 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1538422313.164 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1538422313.190 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1538422313.202 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1538422313.208 * * * [misc]progress: generating series expansions 1538422313.208 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1538422313.209 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1538422313.209 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1538422313.209 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422313.209 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422313.209 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422313.209 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.209 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.209 * [misc]taylor: Taking taylor expansion of k in k 1538422313.209 * [misc]backup-simplify: Simplify 0 into 0 1538422313.209 * [misc]backup-simplify: Simplify 1 into 1 1538422313.209 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.209 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.209 * [misc]backup-simplify: Simplify PI into PI 1538422313.210 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.210 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.210 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.210 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.211 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.211 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422313.211 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422313.211 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422313.211 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422313.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.212 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.212 * [misc]taylor: Taking taylor expansion of k in k 1538422313.212 * [misc]backup-simplify: Simplify 0 into 0 1538422313.212 * [misc]backup-simplify: Simplify 1 into 1 1538422313.212 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.212 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.212 * [misc]backup-simplify: Simplify PI into PI 1538422313.212 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.212 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.212 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.213 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.213 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.214 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422313.214 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1538422313.216 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422313.217 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422313.217 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.217 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.218 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422313.221 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538422313.222 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1538422313.227 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422313.227 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.227 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.227 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538422313.233 * [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))) 1538422313.235 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538422313.238 * [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)))) 1538422313.238 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.238 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1538422313.238 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.238 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422313.238 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422313.238 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.238 * [misc]taylor: Taking taylor expansion of k in k 1538422313.238 * [misc]backup-simplify: Simplify 0 into 0 1538422313.238 * [misc]backup-simplify: Simplify 1 into 1 1538422313.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.239 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.239 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.239 * [misc]backup-simplify: Simplify PI into PI 1538422313.239 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.239 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.239 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.239 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.240 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422313.240 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.240 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.240 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422313.240 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422313.240 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.240 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.241 * [misc]taylor: Taking taylor expansion of k in k 1538422313.241 * [misc]backup-simplify: Simplify 0 into 0 1538422313.241 * [misc]backup-simplify: Simplify 1 into 1 1538422313.241 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.241 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.241 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.241 * [misc]backup-simplify: Simplify PI into PI 1538422313.241 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.241 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.241 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.242 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.242 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422313.242 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.243 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.243 * [misc]backup-simplify: Simplify 0 into 0 1538422313.243 * [misc]backup-simplify: Simplify 0 into 0 1538422313.243 * [misc]backup-simplify: Simplify 0 into 0 1538422313.243 * [misc]backup-simplify: Simplify 0 into 0 1538422313.243 * [misc]backup-simplify: Simplify 0 into 0 1538422313.243 * [misc]backup-simplify: Simplify 0 into 0 1538422313.243 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1538422313.243 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.243 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1538422313.243 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.243 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422313.243 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422313.244 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.244 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.244 * [misc]taylor: Taking taylor expansion of k in k 1538422313.244 * [misc]backup-simplify: Simplify 0 into 0 1538422313.244 * [misc]backup-simplify: Simplify 1 into 1 1538422313.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.244 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.244 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.244 * [misc]backup-simplify: Simplify PI into PI 1538422313.244 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.244 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.245 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.245 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.245 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.245 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.245 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422313.245 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422313.245 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.245 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.246 * [misc]taylor: Taking taylor expansion of k in k 1538422313.246 * [misc]backup-simplify: Simplify 0 into 0 1538422313.246 * [misc]backup-simplify: Simplify 1 into 1 1538422313.246 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.246 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.246 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.246 * [misc]backup-simplify: Simplify PI into PI 1538422313.246 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.246 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.246 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.247 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.247 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.247 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.247 * [misc]backup-simplify: Simplify 0 into 0 1538422313.247 * [misc]backup-simplify: Simplify 0 into 0 1538422313.248 * [misc]backup-simplify: Simplify 0 into 0 1538422313.248 * [misc]backup-simplify: Simplify 0 into 0 1538422313.248 * [misc]backup-simplify: Simplify 0 into 0 1538422313.248 * [misc]backup-simplify: Simplify 0 into 0 1538422313.248 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1538422313.248 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1538422313.248 * [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))) 1538422313.248 * [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 1538422313.248 * [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 1538422313.248 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538422313.248 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422313.248 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422313.248 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422313.248 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422313.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.248 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422313.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.249 * [misc]taylor: Taking taylor expansion of k in n 1538422313.249 * [misc]backup-simplify: Simplify k into k 1538422313.249 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.249 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.249 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.249 * [misc]backup-simplify: Simplify 2 into 2 1538422313.249 * [misc]taylor: Taking taylor expansion of n in n 1538422313.249 * [misc]backup-simplify: Simplify 0 into 0 1538422313.249 * [misc]backup-simplify: Simplify 1 into 1 1538422313.249 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.249 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.249 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.249 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422313.249 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422313.249 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422313.250 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.250 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422313.250 * [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)))) 1538422313.250 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538422313.250 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538422313.250 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538422313.250 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422313.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.251 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422313.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.251 * [misc]taylor: Taking taylor expansion of k in n 1538422313.251 * [misc]backup-simplify: Simplify k into k 1538422313.251 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.251 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.251 * [misc]backup-simplify: Simplify PI into PI 1538422313.251 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.251 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422313.251 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422313.251 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422313.252 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538422313.252 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538422313.252 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538422313.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.252 * [misc]taylor: Taking taylor expansion of k in n 1538422313.252 * [misc]backup-simplify: Simplify k into k 1538422313.252 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.252 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538422313.252 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.252 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538422313.252 * [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 1538422313.252 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538422313.252 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422313.252 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422313.252 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422313.253 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.253 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.253 * [misc]taylor: Taking taylor expansion of k in k 1538422313.253 * [misc]backup-simplify: Simplify 0 into 0 1538422313.253 * [misc]backup-simplify: Simplify 1 into 1 1538422313.253 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422313.253 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422313.253 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.253 * [misc]backup-simplify: Simplify 2 into 2 1538422313.253 * [misc]taylor: Taking taylor expansion of n in k 1538422313.253 * [misc]backup-simplify: Simplify n into n 1538422313.253 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422313.253 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422313.253 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.253 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.253 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.253 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422313.254 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422313.254 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422313.254 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422313.254 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422313.254 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.254 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.254 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.254 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.254 * [misc]taylor: Taking taylor expansion of k in k 1538422313.254 * [misc]backup-simplify: Simplify 0 into 0 1538422313.254 * [misc]backup-simplify: Simplify 1 into 1 1538422313.254 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.254 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.254 * [misc]backup-simplify: Simplify PI into PI 1538422313.254 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.254 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.255 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.255 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.255 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.256 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422313.256 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422313.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.256 * [misc]taylor: Taking taylor expansion of k in k 1538422313.256 * [misc]backup-simplify: Simplify 0 into 0 1538422313.256 * [misc]backup-simplify: Simplify 1 into 1 1538422313.256 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.256 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.257 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.257 * [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 1538422313.257 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.257 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.257 * [misc]taylor: Taking taylor expansion of k in k 1538422313.257 * [misc]backup-simplify: Simplify 0 into 0 1538422313.257 * [misc]backup-simplify: Simplify 1 into 1 1538422313.257 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422313.257 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.257 * [misc]backup-simplify: Simplify 2 into 2 1538422313.257 * [misc]taylor: Taking taylor expansion of n in k 1538422313.257 * [misc]backup-simplify: Simplify n into n 1538422313.257 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422313.257 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422313.257 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.258 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.258 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.258 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422313.258 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422313.258 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422313.258 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422313.258 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422313.258 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.258 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.258 * [misc]taylor: Taking taylor expansion of k in k 1538422313.258 * [misc]backup-simplify: Simplify 0 into 0 1538422313.258 * [misc]backup-simplify: Simplify 1 into 1 1538422313.258 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.258 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.258 * [misc]backup-simplify: Simplify PI into PI 1538422313.258 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.259 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.259 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.259 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.259 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.260 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422313.260 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422313.260 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.260 * [misc]taylor: Taking taylor expansion of k in k 1538422313.260 * [misc]backup-simplify: Simplify 0 into 0 1538422313.260 * [misc]backup-simplify: Simplify 1 into 1 1538422313.260 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.260 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.260 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.261 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1538422313.261 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1538422313.261 * [misc]taylor: Taking taylor expansion of 0 in n 1538422313.261 * [misc]backup-simplify: Simplify 0 into 0 1538422313.261 * [misc]backup-simplify: Simplify 0 into 0 1538422313.262 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422313.262 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422313.262 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.263 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422313.269 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538422313.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538422313.269 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538422313.270 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422313.270 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.270 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.270 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538422313.270 * [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)))) 1538422313.271 * [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)))))) 1538422313.272 * [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))))) 1538422313.272 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1538422313.272 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538422313.272 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.272 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.272 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538422313.272 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.272 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.272 * [misc]backup-simplify: Simplify 2 into 2 1538422313.272 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.272 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.272 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422313.272 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422313.272 * [misc]taylor: Taking taylor expansion of n in n 1538422313.272 * [misc]backup-simplify: Simplify 0 into 0 1538422313.272 * [misc]backup-simplify: Simplify 1 into 1 1538422313.272 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.272 * [misc]backup-simplify: Simplify PI into PI 1538422313.273 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422313.273 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422313.273 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.273 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.274 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422313.274 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.274 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.274 * [misc]backup-simplify: Simplify 0 into 0 1538422313.274 * [misc]backup-simplify: Simplify 0 into 0 1538422313.274 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422313.275 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422313.277 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422313.277 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.278 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538422313.281 * [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))) 1538422313.281 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538422313.282 * [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 1538422313.282 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.282 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.283 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538422313.283 * [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))) 1538422313.285 * [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))))))) 1538422313.288 * [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))))))))) 1538422313.288 * [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 1538422313.288 * [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 1538422313.288 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538422313.288 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.288 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.288 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538422313.288 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538422313.288 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.288 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.288 * [misc]backup-simplify: Simplify 2 into 2 1538422313.288 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.288 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.288 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.288 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.288 * [misc]backup-simplify: Simplify PI into PI 1538422313.289 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.289 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422313.289 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422313.289 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.289 * [misc]backup-simplify: Simplify PI into PI 1538422313.289 * [misc]taylor: Taking taylor expansion of n in n 1538422313.289 * [misc]backup-simplify: Simplify 0 into 0 1538422313.289 * [misc]backup-simplify: Simplify 1 into 1 1538422313.289 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422313.289 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422313.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.290 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.290 * [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 1538422313.290 * [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 1538422313.290 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538422313.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.290 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538422313.290 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.290 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.290 * [misc]backup-simplify: Simplify 2 into 2 1538422313.290 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.290 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.290 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422313.290 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422313.290 * [misc]taylor: Taking taylor expansion of n in n 1538422313.290 * [misc]backup-simplify: Simplify 0 into 0 1538422313.290 * [misc]backup-simplify: Simplify 1 into 1 1538422313.290 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.290 * [misc]backup-simplify: Simplify PI into PI 1538422313.290 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422313.291 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422313.291 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.291 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.291 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538422313.291 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538422313.291 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.291 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.291 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538422313.291 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538422313.291 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.291 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.291 * [misc]backup-simplify: Simplify 2 into 2 1538422313.291 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.292 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.292 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.292 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.292 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.292 * [misc]backup-simplify: Simplify 2 into 2 1538422313.292 * [misc]taylor: Taking taylor expansion of n in n 1538422313.292 * [misc]backup-simplify: Simplify 0 into 0 1538422313.292 * [misc]backup-simplify: Simplify 1 into 1 1538422313.292 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.292 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.292 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.292 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422313.292 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422313.292 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.292 * [misc]backup-simplify: Simplify PI into PI 1538422313.292 * [misc]taylor: Taking taylor expansion of n in n 1538422313.292 * [misc]backup-simplify: Simplify 0 into 0 1538422313.292 * [misc]backup-simplify: Simplify 1 into 1 1538422313.292 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422313.293 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422313.293 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.293 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.294 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538422313.295 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538422313.295 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.295 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422313.295 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.295 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.295 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538422313.296 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538422313.296 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.296 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.296 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.296 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.296 * [misc]backup-simplify: Simplify 0 into 0 1538422313.297 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422313.298 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422313.299 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422313.300 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422313.300 * [misc]backup-simplify: Simplify 0 into 0 1538422313.300 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.301 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422313.306 * [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 1538422313.306 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422313.306 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.306 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.308 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422313.315 * [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))) 1538422313.316 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538422313.318 * [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 1538422313.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422313.319 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538422313.322 * [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))) 1538422313.327 * [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))))))))) 1538422313.336 * [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))))))))))))))) 1538422313.336 * [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 1538422313.337 * [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 1538422313.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538422313.337 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.337 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538422313.337 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538422313.337 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.337 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.337 * [misc]backup-simplify: Simplify 2 into 2 1538422313.337 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.337 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.337 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.337 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.337 * [misc]backup-simplify: Simplify PI into PI 1538422313.338 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.338 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422313.338 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422313.338 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.338 * [misc]backup-simplify: Simplify PI into PI 1538422313.338 * [misc]taylor: Taking taylor expansion of n in n 1538422313.338 * [misc]backup-simplify: Simplify 0 into 0 1538422313.338 * [misc]backup-simplify: Simplify 1 into 1 1538422313.338 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422313.339 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422313.339 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.339 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.339 * [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 1538422313.339 * [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 1538422313.339 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1538422313.340 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.340 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.340 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1538422313.340 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1538422313.340 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.340 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.340 * [misc]backup-simplify: Simplify 2 into 2 1538422313.340 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.340 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.340 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538422313.340 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.340 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.340 * [misc]backup-simplify: Simplify PI into PI 1538422313.340 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.340 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422313.340 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422313.341 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.341 * [misc]backup-simplify: Simplify PI into PI 1538422313.341 * [misc]taylor: Taking taylor expansion of n in n 1538422313.341 * [misc]backup-simplify: Simplify 0 into 0 1538422313.341 * [misc]backup-simplify: Simplify 1 into 1 1538422313.341 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422313.341 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422313.342 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.342 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.342 * [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 1538422313.342 * [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 1538422313.342 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1538422313.342 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.342 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.342 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1538422313.342 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1538422313.342 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.342 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.342 * [misc]backup-simplify: Simplify 2 into 2 1538422313.343 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.343 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.343 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538422313.343 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.343 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.343 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.343 * [misc]backup-simplify: Simplify 2 into 2 1538422313.343 * [misc]taylor: Taking taylor expansion of n in n 1538422313.343 * [misc]backup-simplify: Simplify 0 into 0 1538422313.343 * [misc]backup-simplify: Simplify 1 into 1 1538422313.343 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.343 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.344 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.344 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.344 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422313.344 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422313.344 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.344 * [misc]backup-simplify: Simplify PI into PI 1538422313.344 * [misc]taylor: Taking taylor expansion of n in n 1538422313.344 * [misc]backup-simplify: Simplify 0 into 0 1538422313.344 * [misc]backup-simplify: Simplify 1 into 1 1538422313.344 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422313.345 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422313.345 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.346 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.346 * [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 1538422313.346 * [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 1538422313.346 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1538422313.346 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.346 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.346 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1538422313.346 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1538422313.346 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.346 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.346 * [misc]backup-simplify: Simplify 2 into 2 1538422313.346 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.346 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.346 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1538422313.346 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.346 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.346 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.346 * [misc]backup-simplify: Simplify 2 into 2 1538422313.346 * [misc]taylor: Taking taylor expansion of n in n 1538422313.346 * [misc]backup-simplify: Simplify 0 into 0 1538422313.346 * [misc]backup-simplify: Simplify 1 into 1 1538422313.347 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.347 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.347 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.347 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.347 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.347 * [misc]backup-simplify: Simplify PI into PI 1538422313.347 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.347 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422313.347 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422313.347 * [misc]taylor: Taking taylor expansion of n in n 1538422313.348 * [misc]backup-simplify: Simplify 0 into 0 1538422313.348 * [misc]backup-simplify: Simplify 1 into 1 1538422313.348 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.348 * [misc]backup-simplify: Simplify PI into PI 1538422313.348 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422313.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422313.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.349 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.349 * [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 1538422313.349 * [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 1538422313.349 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538422313.349 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.349 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.349 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538422313.349 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.349 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.349 * [misc]backup-simplify: Simplify 2 into 2 1538422313.350 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.350 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.350 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422313.350 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422313.350 * [misc]taylor: Taking taylor expansion of n in n 1538422313.350 * [misc]backup-simplify: Simplify 0 into 0 1538422313.350 * [misc]backup-simplify: Simplify 1 into 1 1538422313.350 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.350 * [misc]backup-simplify: Simplify PI into PI 1538422313.350 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422313.351 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422313.351 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.352 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.352 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538422313.352 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538422313.352 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.352 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.352 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538422313.352 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538422313.352 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.352 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.352 * [misc]backup-simplify: Simplify 2 into 2 1538422313.352 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.352 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.352 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.352 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.352 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.352 * [misc]backup-simplify: Simplify 2 into 2 1538422313.352 * [misc]taylor: Taking taylor expansion of n in n 1538422313.352 * [misc]backup-simplify: Simplify 0 into 0 1538422313.352 * [misc]backup-simplify: Simplify 1 into 1 1538422313.353 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.353 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.353 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.353 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422313.353 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422313.353 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.353 * [misc]backup-simplify: Simplify PI into PI 1538422313.353 * [misc]taylor: Taking taylor expansion of n in n 1538422313.353 * [misc]backup-simplify: Simplify 0 into 0 1538422313.353 * [misc]backup-simplify: Simplify 1 into 1 1538422313.353 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422313.354 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422313.354 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.355 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422313.355 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538422313.356 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538422313.357 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.357 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538422313.358 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1538422313.359 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1538422313.360 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.360 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.360 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.361 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538422313.361 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1538422313.362 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1538422313.362 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.362 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.362 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1538422313.363 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1538422313.364 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1538422313.364 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.364 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422313.364 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.365 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.365 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538422313.365 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538422313.366 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422313.366 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.366 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.366 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.367 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.367 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.367 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.367 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.367 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.367 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.367 * [misc]backup-simplify: Simplify 0 into 0 1538422313.370 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422313.371 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1538422313.372 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538422313.375 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538422313.376 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422313.378 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422313.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.381 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422313.382 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.382 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1538422313.383 * [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)))))) 1538422313.384 * [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)))))) 1538422313.385 * [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)))))) 1538422313.387 * [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))))))) 1538422313.389 * [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))))))) 1538422313.392 * [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))))))))) 1538422313.397 * [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))))))))) 1538422313.401 * [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))))))))) 1538422313.402 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538422313.403 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1538422313.404 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422313.405 * [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)))) 1538422313.407 * [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)))) 1538422313.408 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538422313.409 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538422313.418 * [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))))))))))))))) 1538422313.418 * [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)) 1538422313.418 * [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 1538422313.418 * [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 1538422313.418 * [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 1538422313.418 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422313.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422313.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.419 * [misc]taylor: Taking taylor expansion of k in n 1538422313.419 * [misc]backup-simplify: Simplify k into k 1538422313.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.419 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.419 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.419 * [misc]backup-simplify: Simplify PI into PI 1538422313.419 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.419 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.419 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.419 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.420 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422313.420 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.420 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.420 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.420 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.420 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.420 * [misc]taylor: Taking taylor expansion of k in n 1538422313.421 * [misc]backup-simplify: Simplify k into k 1538422313.421 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.421 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.421 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.421 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.421 * [misc]backup-simplify: Simplify 2 into 2 1538422313.421 * [misc]taylor: Taking taylor expansion of n in n 1538422313.421 * [misc]backup-simplify: Simplify 0 into 0 1538422313.421 * [misc]backup-simplify: Simplify 1 into 1 1538422313.421 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.421 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.421 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.421 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.421 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.422 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.422 * [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))) 1538422313.422 * [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)))) 1538422313.422 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538422313.422 * [misc]taylor: Taking taylor expansion of k in n 1538422313.423 * [misc]backup-simplify: Simplify k into k 1538422313.423 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538422313.423 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538422313.423 * [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 1538422313.423 * [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 1538422313.423 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.423 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422313.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422313.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.423 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.423 * [misc]taylor: Taking taylor expansion of k in k 1538422313.423 * [misc]backup-simplify: Simplify 0 into 0 1538422313.423 * [misc]backup-simplify: Simplify 1 into 1 1538422313.423 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.423 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.423 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.423 * [misc]backup-simplify: Simplify PI into PI 1538422313.424 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.424 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.424 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.425 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422313.425 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.425 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.425 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422313.425 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422313.425 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.425 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.425 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.425 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.425 * [misc]taylor: Taking taylor expansion of k in k 1538422313.425 * [misc]backup-simplify: Simplify 0 into 0 1538422313.425 * [misc]backup-simplify: Simplify 1 into 1 1538422313.425 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.425 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422313.426 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422313.426 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.426 * [misc]backup-simplify: Simplify 2 into 2 1538422313.426 * [misc]taylor: Taking taylor expansion of n in k 1538422313.426 * [misc]backup-simplify: Simplify n into n 1538422313.426 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422313.426 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422313.426 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.426 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.426 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.426 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422313.427 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.427 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422313.427 * [misc]taylor: Taking taylor expansion of k in k 1538422313.427 * [misc]backup-simplify: Simplify 0 into 0 1538422313.427 * [misc]backup-simplify: Simplify 1 into 1 1538422313.427 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.427 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.427 * [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 1538422313.427 * [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 1538422313.427 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.427 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422313.427 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422313.428 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.428 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.428 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.428 * [misc]taylor: Taking taylor expansion of k in k 1538422313.428 * [misc]backup-simplify: Simplify 0 into 0 1538422313.428 * [misc]backup-simplify: Simplify 1 into 1 1538422313.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.428 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.428 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.428 * [misc]backup-simplify: Simplify PI into PI 1538422313.428 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.428 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.429 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.429 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.429 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422313.430 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.430 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.430 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422313.430 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422313.430 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.430 * [misc]taylor: Taking taylor expansion of k in k 1538422313.430 * [misc]backup-simplify: Simplify 0 into 0 1538422313.431 * [misc]backup-simplify: Simplify 1 into 1 1538422313.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.431 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422313.431 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422313.431 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.431 * [misc]backup-simplify: Simplify 2 into 2 1538422313.431 * [misc]taylor: Taking taylor expansion of n in k 1538422313.431 * [misc]backup-simplify: Simplify n into n 1538422313.431 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422313.431 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422313.431 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.431 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.431 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.432 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422313.432 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.432 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422313.432 * [misc]taylor: Taking taylor expansion of k in k 1538422313.432 * [misc]backup-simplify: Simplify 0 into 0 1538422313.432 * [misc]backup-simplify: Simplify 1 into 1 1538422313.432 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.432 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.433 * [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))))) 1538422313.433 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538422313.433 * [misc]taylor: Taking taylor expansion of 0 in n 1538422313.433 * [misc]backup-simplify: Simplify 0 into 0 1538422313.433 * [misc]backup-simplify: Simplify 0 into 0 1538422313.433 * [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 1538422313.434 * [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))))))) 1538422313.434 * [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 1538422313.434 * [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 1538422313.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.434 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.434 * [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 1538422313.434 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.434 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422313.434 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422313.434 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.434 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.434 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.434 * [misc]taylor: Taking taylor expansion of k in n 1538422313.435 * [misc]backup-simplify: Simplify k into k 1538422313.435 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.435 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.435 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.435 * [misc]backup-simplify: Simplify PI into PI 1538422313.435 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.435 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.435 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.435 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.436 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422313.436 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.436 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of k in n 1538422313.436 * [misc]backup-simplify: Simplify k into k 1538422313.436 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.436 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.436 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.436 * [misc]backup-simplify: Simplify 2 into 2 1538422313.437 * [misc]taylor: Taking taylor expansion of n in n 1538422313.437 * [misc]backup-simplify: Simplify 0 into 0 1538422313.437 * [misc]backup-simplify: Simplify 1 into 1 1538422313.437 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.437 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.437 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.437 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.437 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.438 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.438 * [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))) 1538422313.438 * [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)))) 1538422313.439 * [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))))) 1538422313.439 * [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)))))) 1538422313.440 * [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))))))) 1538422313.440 * [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))))))) 1538422313.440 * [misc]backup-simplify: Simplify 0 into 0 1538422313.441 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422313.442 * [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 1538422313.442 * [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))))))) 1538422313.443 * [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 1538422313.443 * [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 1538422313.443 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.443 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.443 * [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 1538422313.443 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.443 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422313.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422313.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.443 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.443 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.443 * [misc]taylor: Taking taylor expansion of k in n 1538422313.443 * [misc]backup-simplify: Simplify k into k 1538422313.443 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.443 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.443 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.443 * [misc]backup-simplify: Simplify PI into PI 1538422313.443 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.443 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.444 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.444 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.444 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422313.444 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.444 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.445 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.445 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.445 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.445 * [misc]taylor: Taking taylor expansion of k in n 1538422313.445 * [misc]backup-simplify: Simplify k into k 1538422313.445 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.445 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.445 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.445 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.445 * [misc]backup-simplify: Simplify 2 into 2 1538422313.445 * [misc]taylor: Taking taylor expansion of n in n 1538422313.445 * [misc]backup-simplify: Simplify 0 into 0 1538422313.445 * [misc]backup-simplify: Simplify 1 into 1 1538422313.445 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.445 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.445 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.446 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.446 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.446 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.446 * [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))) 1538422313.447 * [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)))) 1538422313.447 * [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))))) 1538422313.448 * [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)))))) 1538422313.448 * [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))))))) 1538422313.449 * [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))))))) 1538422313.449 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422313.451 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422313.452 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.452 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.452 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.453 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538422313.454 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422313.457 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.457 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.457 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.457 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.458 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538422313.459 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.460 * [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 1538422313.460 * [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 1538422313.461 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.461 * [misc]backup-simplify: Simplify 0 into 0 1538422313.461 * [misc]backup-simplify: Simplify 0 into 0 1538422313.462 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422313.462 * [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 1538422313.463 * [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))))))) 1538422313.463 * [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 1538422313.463 * [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 1538422313.463 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.463 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.463 * [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 1538422313.463 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.463 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422313.463 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422313.463 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.463 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.464 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.464 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.464 * [misc]taylor: Taking taylor expansion of k in n 1538422313.464 * [misc]backup-simplify: Simplify k into k 1538422313.464 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.464 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.464 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.464 * [misc]backup-simplify: Simplify PI into PI 1538422313.464 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.464 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.464 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.464 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.465 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422313.465 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.465 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.465 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.465 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.465 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.465 * [misc]taylor: Taking taylor expansion of k in n 1538422313.465 * [misc]backup-simplify: Simplify k into k 1538422313.466 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.466 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.466 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.466 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.466 * [misc]backup-simplify: Simplify 2 into 2 1538422313.466 * [misc]taylor: Taking taylor expansion of n in n 1538422313.466 * [misc]backup-simplify: Simplify 0 into 0 1538422313.466 * [misc]backup-simplify: Simplify 1 into 1 1538422313.466 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.466 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.466 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.466 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.466 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.467 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.467 * [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))) 1538422313.467 * [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)))) 1538422313.468 * [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))))) 1538422313.468 * [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)))))) 1538422313.469 * [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))))))) 1538422313.469 * [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))))))) 1538422313.472 * [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)))))))) 1538422313.472 * [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))) 1538422313.472 * [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 1538422313.472 * [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 1538422313.472 * [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 1538422313.472 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.472 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.472 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.472 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.473 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.473 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.473 * [misc]taylor: Taking taylor expansion of k in n 1538422313.473 * [misc]backup-simplify: Simplify k into k 1538422313.473 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.473 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.473 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.473 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.473 * [misc]backup-simplify: Simplify -2 into -2 1538422313.473 * [misc]taylor: Taking taylor expansion of n in n 1538422313.473 * [misc]backup-simplify: Simplify 0 into 0 1538422313.473 * [misc]backup-simplify: Simplify 1 into 1 1538422313.473 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.473 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.473 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.474 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.474 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.474 * [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))) 1538422313.474 * [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)))) 1538422313.475 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.475 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422313.475 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422313.475 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.475 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.475 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.475 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.475 * [misc]taylor: Taking taylor expansion of k in n 1538422313.475 * [misc]backup-simplify: Simplify k into k 1538422313.475 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.475 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.475 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.475 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.475 * [misc]backup-simplify: Simplify PI into PI 1538422313.475 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.476 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.476 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.476 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422313.476 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.476 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422313.476 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422313.476 * [misc]taylor: Taking taylor expansion of -1 in n 1538422313.476 * [misc]backup-simplify: Simplify -1 into -1 1538422313.476 * [misc]taylor: Taking taylor expansion of k in n 1538422313.476 * [misc]backup-simplify: Simplify k into k 1538422313.477 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422313.477 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422313.477 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422313.477 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422313.477 * [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))) 1538422313.478 * [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))) 1538422313.478 * [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 1538422313.478 * [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 1538422313.478 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.478 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422313.478 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422313.478 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.478 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.478 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.478 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.478 * [misc]taylor: Taking taylor expansion of k in k 1538422313.478 * [misc]backup-simplify: Simplify 0 into 0 1538422313.478 * [misc]backup-simplify: Simplify 1 into 1 1538422313.478 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.478 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.478 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422313.479 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422313.479 * [misc]taylor: Taking taylor expansion of -2 in k 1538422313.479 * [misc]backup-simplify: Simplify -2 into -2 1538422313.479 * [misc]taylor: Taking taylor expansion of n in k 1538422313.479 * [misc]backup-simplify: Simplify n into n 1538422313.479 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422313.479 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422313.479 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.479 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.479 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422313.479 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.479 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.479 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422313.479 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422313.479 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.480 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.480 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.480 * [misc]taylor: Taking taylor expansion of k in k 1538422313.480 * [misc]backup-simplify: Simplify 0 into 0 1538422313.480 * [misc]backup-simplify: Simplify 1 into 1 1538422313.480 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.480 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.480 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.480 * [misc]backup-simplify: Simplify PI into PI 1538422313.480 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.480 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.481 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.481 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.481 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.481 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422313.481 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422313.482 * [misc]taylor: Taking taylor expansion of -1 in k 1538422313.482 * [misc]backup-simplify: Simplify -1 into -1 1538422313.482 * [misc]taylor: Taking taylor expansion of k in k 1538422313.482 * [misc]backup-simplify: Simplify 0 into 0 1538422313.482 * [misc]backup-simplify: Simplify 1 into 1 1538422313.482 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422313.482 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.482 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422313.483 * [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))) 1538422313.483 * [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)))) 1538422313.483 * [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 1538422313.483 * [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 1538422313.483 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.483 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422313.483 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422313.483 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.483 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.483 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.483 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.483 * [misc]taylor: Taking taylor expansion of k in k 1538422313.483 * [misc]backup-simplify: Simplify 0 into 0 1538422313.483 * [misc]backup-simplify: Simplify 1 into 1 1538422313.484 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.484 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.484 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422313.484 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422313.484 * [misc]taylor: Taking taylor expansion of -2 in k 1538422313.484 * [misc]backup-simplify: Simplify -2 into -2 1538422313.484 * [misc]taylor: Taking taylor expansion of n in k 1538422313.484 * [misc]backup-simplify: Simplify n into n 1538422313.484 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422313.484 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422313.484 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.484 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.484 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422313.484 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.485 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.485 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422313.485 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422313.485 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.485 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.485 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.485 * [misc]taylor: Taking taylor expansion of k in k 1538422313.485 * [misc]backup-simplify: Simplify 0 into 0 1538422313.485 * [misc]backup-simplify: Simplify 1 into 1 1538422313.485 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.485 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422313.485 * [misc]taylor: Taking taylor expansion of PI in k 1538422313.485 * [misc]backup-simplify: Simplify PI into PI 1538422313.485 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.486 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.486 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.486 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422313.487 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.487 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422313.487 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422313.487 * [misc]taylor: Taking taylor expansion of -1 in k 1538422313.487 * [misc]backup-simplify: Simplify -1 into -1 1538422313.487 * [misc]taylor: Taking taylor expansion of k in k 1538422313.487 * [misc]backup-simplify: Simplify 0 into 0 1538422313.487 * [misc]backup-simplify: Simplify 1 into 1 1538422313.487 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422313.487 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.487 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422313.488 * [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))) 1538422313.488 * [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)))) 1538422313.488 * [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 1538422313.488 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.488 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.488 * [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 1538422313.488 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.488 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.488 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.488 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.488 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.488 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.488 * [misc]taylor: Taking taylor expansion of k in n 1538422313.489 * [misc]backup-simplify: Simplify k into k 1538422313.489 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.489 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.489 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.489 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.489 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.489 * [misc]backup-simplify: Simplify -2 into -2 1538422313.489 * [misc]taylor: Taking taylor expansion of n in n 1538422313.489 * [misc]backup-simplify: Simplify 0 into 0 1538422313.489 * [misc]backup-simplify: Simplify 1 into 1 1538422313.489 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.489 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.489 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.489 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.490 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.490 * [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))) 1538422313.491 * [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)))) 1538422313.491 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.491 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422313.491 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422313.491 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.491 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.491 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.491 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.491 * [misc]taylor: Taking taylor expansion of k in n 1538422313.491 * [misc]backup-simplify: Simplify k into k 1538422313.491 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.491 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.491 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.491 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.491 * [misc]backup-simplify: Simplify PI into PI 1538422313.492 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.492 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.492 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.492 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422313.493 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.493 * [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))) 1538422313.494 * [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)))) 1538422313.494 * [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)))) 1538422313.495 * [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 1538422313.495 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538422313.496 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422313.497 * [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))))) 1538422313.497 * [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 1538422313.497 * [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 1538422313.497 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.497 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.498 * [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 1538422313.498 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.498 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of k in n 1538422313.498 * [misc]backup-simplify: Simplify k into k 1538422313.498 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.498 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.498 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.498 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.498 * [misc]backup-simplify: Simplify -2 into -2 1538422313.498 * [misc]taylor: Taking taylor expansion of n in n 1538422313.498 * [misc]backup-simplify: Simplify 0 into 0 1538422313.498 * [misc]backup-simplify: Simplify 1 into 1 1538422313.498 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.499 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.499 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.499 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.499 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.499 * [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))) 1538422313.500 * [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)))) 1538422313.500 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.500 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422313.500 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422313.500 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.500 * [misc]taylor: Taking taylor expansion of k in n 1538422313.500 * [misc]backup-simplify: Simplify k into k 1538422313.500 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.500 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.500 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.500 * [misc]backup-simplify: Simplify PI into PI 1538422313.501 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.501 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.501 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.501 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422313.502 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.502 * [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))) 1538422313.503 * [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)))) 1538422313.503 * [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))))) 1538422313.504 * [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))))) 1538422313.506 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422313.506 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.507 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.507 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538422313.509 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.509 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422313.511 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422313.511 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.512 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.512 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.513 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538422313.514 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.514 * [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 1538422313.515 * [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 1538422313.515 * [misc]backup-simplify: Simplify 0 into 0 1538422313.515 * [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 1538422313.516 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.517 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422313.518 * [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))))) 1538422313.518 * [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 1538422313.518 * [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 1538422313.518 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.518 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.518 * [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 1538422313.518 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.518 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.519 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.519 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.519 * [misc]taylor: Taking taylor expansion of k in n 1538422313.519 * [misc]backup-simplify: Simplify k into k 1538422313.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.519 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.519 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.519 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.519 * [misc]backup-simplify: Simplify -2 into -2 1538422313.519 * [misc]taylor: Taking taylor expansion of n in n 1538422313.519 * [misc]backup-simplify: Simplify 0 into 0 1538422313.519 * [misc]backup-simplify: Simplify 1 into 1 1538422313.519 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.519 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.519 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.520 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.520 * [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))) 1538422313.521 * [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)))) 1538422313.521 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.521 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422313.521 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422313.521 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.521 * [misc]taylor: Taking taylor expansion of k in n 1538422313.521 * [misc]backup-simplify: Simplify k into k 1538422313.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.521 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422313.521 * [misc]taylor: Taking taylor expansion of PI in n 1538422313.521 * [misc]backup-simplify: Simplify PI into PI 1538422313.521 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422313.521 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.521 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.522 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422313.522 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.523 * [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))) 1538422313.523 * [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)))) 1538422313.524 * [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))))) 1538422313.524 * [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))))) 1538422313.526 * [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)))))))) 1538422313.526 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1538422313.527 * [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)) 1538422313.527 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1538422313.527 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.527 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.527 * [misc]taylor: Taking taylor expansion of k in n 1538422313.527 * [misc]backup-simplify: Simplify k into k 1538422313.527 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.527 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.527 * [misc]backup-simplify: Simplify 2 into 2 1538422313.527 * [misc]taylor: Taking taylor expansion of n in n 1538422313.527 * [misc]backup-simplify: Simplify 0 into 0 1538422313.527 * [misc]backup-simplify: Simplify 1 into 1 1538422313.528 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.528 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.528 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.528 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422313.528 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422313.528 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422313.529 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.529 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422313.529 * [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)))) 1538422313.529 * [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))))) 1538422313.529 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538422313.530 * [misc]taylor: Taking taylor expansion of k in n 1538422313.530 * [misc]backup-simplify: Simplify k into k 1538422313.530 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538422313.530 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538422313.530 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.530 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.530 * [misc]taylor: Taking taylor expansion of k in k 1538422313.530 * [misc]backup-simplify: Simplify 0 into 0 1538422313.530 * [misc]backup-simplify: Simplify 1 into 1 1538422313.530 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422313.530 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.530 * [misc]backup-simplify: Simplify 2 into 2 1538422313.530 * [misc]taylor: Taking taylor expansion of n in k 1538422313.530 * [misc]backup-simplify: Simplify n into n 1538422313.530 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422313.530 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422313.531 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.531 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.531 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.531 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422313.531 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422313.531 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538422313.531 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422313.531 * [misc]taylor: Taking taylor expansion of k in k 1538422313.531 * [misc]backup-simplify: Simplify 0 into 0 1538422313.531 * [misc]backup-simplify: Simplify 1 into 1 1538422313.532 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.532 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.532 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538422313.532 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538422313.532 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422313.532 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422313.532 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422313.532 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.532 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.532 * [misc]taylor: Taking taylor expansion of k in k 1538422313.532 * [misc]backup-simplify: Simplify 0 into 0 1538422313.533 * [misc]backup-simplify: Simplify 1 into 1 1538422313.533 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422313.533 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422313.533 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.533 * [misc]backup-simplify: Simplify 2 into 2 1538422313.533 * [misc]taylor: Taking taylor expansion of n in k 1538422313.533 * [misc]backup-simplify: Simplify n into n 1538422313.533 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422313.533 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422313.533 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.533 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.533 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.533 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422313.533 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422313.534 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538422313.534 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422313.534 * [misc]taylor: Taking taylor expansion of k in k 1538422313.534 * [misc]backup-simplify: Simplify 0 into 0 1538422313.534 * [misc]backup-simplify: Simplify 1 into 1 1538422313.534 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.534 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.534 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1538422313.535 * [misc]taylor: Taking taylor expansion of 0 in n 1538422313.535 * [misc]backup-simplify: Simplify 0 into 0 1538422313.535 * [misc]backup-simplify: Simplify 0 into 0 1538422313.535 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538422313.536 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538422313.536 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422313.536 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.536 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.536 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538422313.537 * [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)))) 1538422313.537 * [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)))) 1538422313.538 * [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)))) 1538422313.538 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538422313.538 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538422313.538 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.538 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.538 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538422313.538 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422313.539 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422313.539 * [misc]taylor: Taking taylor expansion of n in n 1538422313.539 * [misc]backup-simplify: Simplify 0 into 0 1538422313.539 * [misc]backup-simplify: Simplify 1 into 1 1538422313.539 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.539 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.539 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.539 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538422313.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.540 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538422313.540 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538422313.541 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.541 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538422313.542 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538422313.543 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.543 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.543 * [misc]backup-simplify: Simplify 0 into 0 1538422313.544 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422313.545 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538422313.546 * [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 1538422313.546 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.547 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538422313.548 * [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))) 1538422313.551 * [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))))) 1538422313.555 * [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)))))) 1538422313.555 * [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 1538422313.555 * [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 1538422313.555 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1538422313.555 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.555 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.555 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1538422313.555 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1538422313.555 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422313.555 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.555 * [misc]backup-simplify: Simplify 2 into 2 1538422313.555 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422313.556 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422313.556 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1538422313.556 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.556 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.556 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.556 * [misc]backup-simplify: Simplify 2 into 2 1538422313.556 * [misc]taylor: Taking taylor expansion of n in n 1538422313.556 * [misc]backup-simplify: Simplify 0 into 0 1538422313.556 * [misc]backup-simplify: Simplify 1 into 1 1538422313.556 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.556 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.556 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.556 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1538422313.556 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538422313.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.556 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538422313.556 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538422313.556 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422313.556 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422313.556 * [misc]taylor: Taking taylor expansion of n in n 1538422313.556 * [misc]backup-simplify: Simplify 0 into 0 1538422313.556 * [misc]backup-simplify: Simplify 1 into 1 1538422313.557 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.557 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.557 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.557 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538422313.557 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538422313.557 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.557 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.557 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538422313.557 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422313.557 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422313.557 * [misc]taylor: Taking taylor expansion of n in n 1538422313.557 * [misc]backup-simplify: Simplify 0 into 0 1538422313.557 * [misc]backup-simplify: Simplify 1 into 1 1538422313.557 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.557 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.558 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.558 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538422313.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.558 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538422313.558 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538422313.558 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.558 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1538422313.559 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1538422313.559 * [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))) 1538422313.560 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.560 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1538422313.560 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.561 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422313.562 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1538422313.562 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1538422313.563 * [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))))))) 1538422313.564 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1538422313.566 * [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))))))) 1538422313.566 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.566 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538422313.567 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538422313.567 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.569 * [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))))))))) 1538422313.572 * [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))))))) 1538422313.574 * [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))))))) 1538422313.574 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1538422313.575 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422313.575 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422313.576 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.577 * [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))) 1538422313.577 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.577 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422313.581 * [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)))))))))))) 1538422313.581 * [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))) 1538422313.581 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1538422313.581 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of k in n 1538422313.581 * [misc]backup-simplify: Simplify k into k 1538422313.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.581 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.581 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.581 * [misc]backup-simplify: Simplify 2 into 2 1538422313.581 * [misc]taylor: Taking taylor expansion of n in n 1538422313.581 * [misc]backup-simplify: Simplify 0 into 0 1538422313.581 * [misc]backup-simplify: Simplify 1 into 1 1538422313.581 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.581 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.582 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.582 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.582 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.582 * [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))) 1538422313.582 * [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)))) 1538422313.582 * [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))))) 1538422313.582 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538422313.582 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.582 * [misc]taylor: Taking taylor expansion of k in n 1538422313.583 * [misc]backup-simplify: Simplify k into k 1538422313.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.583 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538422313.583 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.583 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538422313.583 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.583 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of k in k 1538422313.583 * [misc]backup-simplify: Simplify 0 into 0 1538422313.583 * [misc]backup-simplify: Simplify 1 into 1 1538422313.583 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.583 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422313.583 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.583 * [misc]backup-simplify: Simplify 2 into 2 1538422313.583 * [misc]taylor: Taking taylor expansion of n in k 1538422313.583 * [misc]backup-simplify: Simplify n into n 1538422313.583 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422313.583 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422313.583 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.583 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.584 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.584 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422313.584 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.584 * [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))))) 1538422313.584 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422313.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.584 * [misc]taylor: Taking taylor expansion of k in k 1538422313.584 * [misc]backup-simplify: Simplify 0 into 0 1538422313.584 * [misc]backup-simplify: Simplify 1 into 1 1538422313.584 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.584 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.584 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.584 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of k in k 1538422313.585 * [misc]backup-simplify: Simplify 0 into 0 1538422313.585 * [misc]backup-simplify: Simplify 1 into 1 1538422313.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.585 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422313.585 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.585 * [misc]backup-simplify: Simplify 2 into 2 1538422313.585 * [misc]taylor: Taking taylor expansion of n in k 1538422313.585 * [misc]backup-simplify: Simplify n into n 1538422313.585 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422313.585 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422313.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.585 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.585 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.585 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422313.585 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.586 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538422313.586 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422313.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.586 * [misc]taylor: Taking taylor expansion of k in k 1538422313.586 * [misc]backup-simplify: Simplify 0 into 0 1538422313.586 * [misc]backup-simplify: Simplify 1 into 1 1538422313.586 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.586 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.586 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422313.586 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538422313.586 * [misc]taylor: Taking taylor expansion of 0 in n 1538422313.586 * [misc]backup-simplify: Simplify 0 into 0 1538422313.586 * [misc]backup-simplify: Simplify 0 into 0 1538422313.587 * [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 1538422313.587 * [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))))))) 1538422313.587 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.587 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.587 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of k in n 1538422313.587 * [misc]backup-simplify: Simplify k into k 1538422313.587 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.587 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.587 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.587 * [misc]backup-simplify: Simplify 2 into 2 1538422313.587 * [misc]taylor: Taking taylor expansion of n in n 1538422313.587 * [misc]backup-simplify: Simplify 0 into 0 1538422313.587 * [misc]backup-simplify: Simplify 1 into 1 1538422313.587 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.587 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.587 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.587 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.588 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.588 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.588 * [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))) 1538422313.588 * [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)))) 1538422313.588 * [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))))) 1538422313.589 * [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))))) 1538422313.589 * [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))))))) 1538422313.589 * [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))))))) 1538422313.589 * [misc]backup-simplify: Simplify 0 into 0 1538422313.589 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422313.590 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422313.590 * [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 1538422313.590 * [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))))))) 1538422313.590 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538422313.590 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.591 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.591 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of k in n 1538422313.591 * [misc]backup-simplify: Simplify k into k 1538422313.591 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.591 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.591 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.591 * [misc]backup-simplify: Simplify 2 into 2 1538422313.591 * [misc]taylor: Taking taylor expansion of n in n 1538422313.591 * [misc]backup-simplify: Simplify 0 into 0 1538422313.591 * [misc]backup-simplify: Simplify 1 into 1 1538422313.591 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.591 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.591 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.591 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.591 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.592 * [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))) 1538422313.592 * [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)))) 1538422313.592 * [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))))) 1538422313.592 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538422313.593 * [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))))))) 1538422313.593 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538422313.593 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422313.594 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422313.594 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.595 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.595 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.595 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.595 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.595 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538422313.596 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.596 * [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 1538422313.597 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538422313.597 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.597 * [misc]backup-simplify: Simplify 0 into 0 1538422313.597 * [misc]backup-simplify: Simplify 0 into 0 1538422313.597 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.598 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422313.598 * [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 1538422313.598 * [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))))))) 1538422313.598 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538422313.598 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538422313.598 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.598 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.599 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.599 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.599 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of k in n 1538422313.599 * [misc]backup-simplify: Simplify k into k 1538422313.599 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.599 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.599 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.599 * [misc]backup-simplify: Simplify 2 into 2 1538422313.599 * [misc]taylor: Taking taylor expansion of n in n 1538422313.599 * [misc]backup-simplify: Simplify 0 into 0 1538422313.599 * [misc]backup-simplify: Simplify 1 into 1 1538422313.599 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.599 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.599 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.599 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.599 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.599 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.600 * [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))) 1538422313.600 * [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)))) 1538422313.600 * [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))))) 1538422313.600 * [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))))) 1538422313.601 * [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))))))) 1538422313.601 * [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))))))) 1538422313.602 * [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))))))))))) 1538422313.602 * [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))) 1538422313.602 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1538422313.602 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of -1 in n 1538422313.602 * [misc]backup-simplify: Simplify -1 into -1 1538422313.602 * [misc]taylor: Taking taylor expansion of k in n 1538422313.602 * [misc]backup-simplify: Simplify k into k 1538422313.602 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422313.602 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422313.602 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422313.602 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422313.602 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.602 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.602 * [misc]taylor: Taking taylor expansion of k in n 1538422313.602 * [misc]backup-simplify: Simplify k into k 1538422313.603 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.603 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.603 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.603 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.603 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.603 * [misc]backup-simplify: Simplify -2 into -2 1538422313.603 * [misc]taylor: Taking taylor expansion of n in n 1538422313.603 * [misc]backup-simplify: Simplify 0 into 0 1538422313.603 * [misc]backup-simplify: Simplify 1 into 1 1538422313.603 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.603 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.603 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.603 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.603 * [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))) 1538422313.604 * [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)))) 1538422313.604 * [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))))) 1538422313.604 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538422313.604 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422313.604 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422313.604 * [misc]taylor: Taking taylor expansion of -1 in k 1538422313.604 * [misc]backup-simplify: Simplify -1 into -1 1538422313.604 * [misc]taylor: Taking taylor expansion of k in k 1538422313.604 * [misc]backup-simplify: Simplify 0 into 0 1538422313.604 * [misc]backup-simplify: Simplify 1 into 1 1538422313.604 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422313.604 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.605 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422313.605 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of k in k 1538422313.605 * [misc]backup-simplify: Simplify 0 into 0 1538422313.605 * [misc]backup-simplify: Simplify 1 into 1 1538422313.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.605 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422313.605 * [misc]taylor: Taking taylor expansion of -2 in k 1538422313.605 * [misc]backup-simplify: Simplify -2 into -2 1538422313.605 * [misc]taylor: Taking taylor expansion of n in k 1538422313.605 * [misc]backup-simplify: Simplify n into n 1538422313.605 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422313.605 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422313.605 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.605 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.605 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422313.606 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.606 * [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))) 1538422313.606 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of -1 in k 1538422313.606 * [misc]backup-simplify: Simplify -1 into -1 1538422313.606 * [misc]taylor: Taking taylor expansion of k in k 1538422313.606 * [misc]backup-simplify: Simplify 0 into 0 1538422313.606 * [misc]backup-simplify: Simplify 1 into 1 1538422313.606 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422313.606 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422313.606 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422313.606 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.606 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.606 * [misc]taylor: Taking taylor expansion of k in k 1538422313.606 * [misc]backup-simplify: Simplify 0 into 0 1538422313.607 * [misc]backup-simplify: Simplify 1 into 1 1538422313.607 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.607 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422313.607 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422313.607 * [misc]taylor: Taking taylor expansion of -2 in k 1538422313.607 * [misc]backup-simplify: Simplify -2 into -2 1538422313.607 * [misc]taylor: Taking taylor expansion of n in k 1538422313.607 * [misc]backup-simplify: Simplify n into n 1538422313.607 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422313.607 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422313.607 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.607 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.607 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422313.607 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.607 * [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))) 1538422313.607 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422313.607 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.607 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.607 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.607 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.607 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.608 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.608 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.608 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.608 * [misc]taylor: Taking taylor expansion of k in n 1538422313.608 * [misc]backup-simplify: Simplify k into k 1538422313.608 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.608 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.608 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.608 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.608 * [misc]backup-simplify: Simplify -2 into -2 1538422313.608 * [misc]taylor: Taking taylor expansion of n in n 1538422313.608 * [misc]backup-simplify: Simplify 0 into 0 1538422313.608 * [misc]backup-simplify: Simplify 1 into 1 1538422313.608 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.608 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.608 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.608 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.608 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.609 * [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))) 1538422313.609 * [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)))) 1538422313.609 * [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))))) 1538422313.609 * [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))))) 1538422313.610 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538422313.610 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422313.611 * [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))))) 1538422313.611 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.611 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.611 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of k in n 1538422313.611 * [misc]backup-simplify: Simplify k into k 1538422313.611 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.611 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.611 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.611 * [misc]backup-simplify: Simplify -2 into -2 1538422313.611 * [misc]taylor: Taking taylor expansion of n in n 1538422313.611 * [misc]backup-simplify: Simplify 0 into 0 1538422313.611 * [misc]backup-simplify: Simplify 1 into 1 1538422313.611 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.611 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.612 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.612 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.612 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.612 * [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))) 1538422313.612 * [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)))) 1538422313.612 * [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))))) 1538422313.613 * [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))))) 1538422313.613 * [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))))))) 1538422313.613 * [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))))))) 1538422313.613 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422313.615 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422313.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.615 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.615 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.616 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538422313.616 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.617 * [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 1538422313.617 * [misc]backup-simplify: Simplify 0 into 0 1538422313.617 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.618 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422313.618 * [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))))) 1538422313.618 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538422313.618 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538422313.618 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422313.618 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422313.618 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422313.618 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.618 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.618 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.619 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.619 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.619 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.619 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.619 * [misc]taylor: Taking taylor expansion of k in n 1538422313.619 * [misc]backup-simplify: Simplify k into k 1538422313.619 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.619 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.619 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.619 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.619 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.619 * [misc]backup-simplify: Simplify -2 into -2 1538422313.619 * [misc]taylor: Taking taylor expansion of n in n 1538422313.619 * [misc]backup-simplify: Simplify 0 into 0 1538422313.619 * [misc]backup-simplify: Simplify 1 into 1 1538422313.619 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.619 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.619 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.619 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.620 * [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))) 1538422313.620 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538422313.620 * [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))))) 1538422313.620 * [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))))) 1538422313.620 * [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))))))) 1538422313.621 * [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))))))) 1538422313.622 * [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))))))))) 1538422313.622 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1538422313.622 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1538422313.622 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1538422313.622 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422313.622 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422313.622 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422313.622 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.622 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.622 * [misc]taylor: Taking taylor expansion of k in k 1538422313.622 * [misc]backup-simplify: Simplify 0 into 0 1538422313.622 * [misc]backup-simplify: Simplify 1 into 1 1538422313.622 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422313.622 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422313.622 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.622 * [misc]backup-simplify: Simplify 2 into 2 1538422313.622 * [misc]taylor: Taking taylor expansion of n in k 1538422313.622 * [misc]backup-simplify: Simplify n into n 1538422313.622 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422313.622 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422313.622 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.622 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.622 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.622 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422313.623 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422313.623 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422313.623 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422313.623 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422313.623 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422313.623 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.623 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422313.623 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.623 * [misc]taylor: Taking taylor expansion of k in n 1538422313.623 * [misc]backup-simplify: Simplify k into k 1538422313.623 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.623 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.623 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.623 * [misc]backup-simplify: Simplify 2 into 2 1538422313.623 * [misc]taylor: Taking taylor expansion of n in n 1538422313.623 * [misc]backup-simplify: Simplify 0 into 0 1538422313.623 * [misc]backup-simplify: Simplify 1 into 1 1538422313.623 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.623 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.623 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.623 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422313.623 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422313.623 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422313.624 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.624 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422313.624 * [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)))) 1538422313.624 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422313.624 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422313.624 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422313.624 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422313.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.624 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422313.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.624 * [misc]taylor: Taking taylor expansion of k in n 1538422313.624 * [misc]backup-simplify: Simplify k into k 1538422313.624 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422313.624 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422313.624 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.624 * [misc]backup-simplify: Simplify 2 into 2 1538422313.624 * [misc]taylor: Taking taylor expansion of n in n 1538422313.624 * [misc]backup-simplify: Simplify 0 into 0 1538422313.624 * [misc]backup-simplify: Simplify 1 into 1 1538422313.624 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422313.624 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422313.625 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.625 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422313.625 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422313.625 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422313.625 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.625 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422313.625 * [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)))) 1538422313.625 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538422313.625 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538422313.625 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538422313.625 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422313.625 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.625 * [misc]backup-simplify: Simplify 2 into 2 1538422313.626 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.626 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422313.626 * [misc]taylor: Taking taylor expansion of n in k 1538422313.626 * [misc]backup-simplify: Simplify n into n 1538422313.626 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422313.626 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422313.626 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.626 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422313.626 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.626 * [misc]taylor: Taking taylor expansion of k in k 1538422313.626 * [misc]backup-simplify: Simplify 0 into 0 1538422313.626 * [misc]backup-simplify: Simplify 1 into 1 1538422313.626 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538422313.626 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422313.626 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.626 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.626 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538422313.626 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538422313.627 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538422313.627 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.628 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422313.628 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538422313.629 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.629 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.629 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538422313.630 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.630 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.630 * [misc]backup-simplify: Simplify 0 into 0 1538422313.630 * [misc]backup-simplify: Simplify 0 into 0 1538422313.630 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422313.630 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.630 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.632 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422313.632 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422313.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.633 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538422313.633 * [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))))) 1538422313.633 * [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))))) 1538422313.634 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422313.637 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422313.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538422313.638 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.640 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422313.640 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538422313.642 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422313.642 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.642 * [misc]backup-simplify: Simplify 0 into 0 1538422313.642 * [misc]backup-simplify: Simplify 0 into 0 1538422313.642 * [misc]backup-simplify: Simplify 0 into 0 1538422313.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422313.643 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.647 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422313.649 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538422313.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.649 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538422313.651 * [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))))) 1538422313.653 * [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))))) 1538422313.656 * [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))))) 1538422313.656 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.656 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538422313.656 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422313.656 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422313.656 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422313.656 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.656 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.656 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.656 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.656 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.656 * [misc]taylor: Taking taylor expansion of k in k 1538422313.656 * [misc]backup-simplify: Simplify 0 into 0 1538422313.656 * [misc]backup-simplify: Simplify 1 into 1 1538422313.657 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.657 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422313.657 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422313.657 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.657 * [misc]backup-simplify: Simplify 2 into 2 1538422313.657 * [misc]taylor: Taking taylor expansion of n in k 1538422313.657 * [misc]backup-simplify: Simplify n into n 1538422313.657 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422313.657 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422313.657 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.657 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.657 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.657 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422313.658 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422313.659 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.659 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of k in n 1538422313.659 * [misc]backup-simplify: Simplify k into k 1538422313.659 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.659 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.659 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.659 * [misc]backup-simplify: Simplify 2 into 2 1538422313.659 * [misc]taylor: Taking taylor expansion of n in n 1538422313.659 * [misc]backup-simplify: Simplify 0 into 0 1538422313.659 * [misc]backup-simplify: Simplify 1 into 1 1538422313.660 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.660 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.660 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.660 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.660 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.660 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.661 * [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))) 1538422313.661 * [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)))) 1538422313.661 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422313.661 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422313.662 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422313.662 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422313.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.662 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.662 * [misc]taylor: Taking taylor expansion of k in n 1538422313.662 * [misc]backup-simplify: Simplify k into k 1538422313.662 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.662 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422313.662 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422313.662 * [misc]taylor: Taking taylor expansion of 2 in n 1538422313.662 * [misc]backup-simplify: Simplify 2 into 2 1538422313.662 * [misc]taylor: Taking taylor expansion of n in n 1538422313.662 * [misc]backup-simplify: Simplify 0 into 0 1538422313.662 * [misc]backup-simplify: Simplify 1 into 1 1538422313.662 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422313.662 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.662 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.663 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422313.663 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422313.663 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.663 * [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))) 1538422313.664 * [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)))) 1538422313.664 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538422313.664 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538422313.664 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422313.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.664 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.664 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.664 * [misc]taylor: Taking taylor expansion of k in k 1538422313.664 * [misc]backup-simplify: Simplify 0 into 0 1538422313.664 * [misc]backup-simplify: Simplify 1 into 1 1538422313.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.664 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538422313.664 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422313.664 * [misc]taylor: Taking taylor expansion of 2 in k 1538422313.664 * [misc]backup-simplify: Simplify 2 into 2 1538422313.665 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422313.665 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422313.665 * [misc]taylor: Taking taylor expansion of n in k 1538422313.665 * [misc]backup-simplify: Simplify n into n 1538422313.665 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422313.665 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.665 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422313.665 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422313.665 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422313.666 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538422313.666 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538422313.666 * [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)))) 1538422313.666 * [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)))) 1538422313.667 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422313.669 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422313.670 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.670 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.670 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.670 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.671 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538422313.672 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.672 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.672 * [misc]backup-simplify: Simplify 0 into 0 1538422313.672 * [misc]backup-simplify: Simplify 0 into 0 1538422313.672 * [misc]backup-simplify: Simplify 0 into 0 1538422313.673 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.677 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422313.677 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422313.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422313.678 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.678 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.679 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538422313.681 * [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 1538422313.682 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.682 * [misc]backup-simplify: Simplify 0 into 0 1538422313.682 * [misc]backup-simplify: Simplify 0 into 0 1538422313.682 * [misc]backup-simplify: Simplify 0 into 0 1538422313.683 * [misc]backup-simplify: Simplify 0 into 0 1538422313.683 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.690 * [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 1538422313.691 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422313.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422313.692 * [misc]backup-simplify: Simplify (- 0) into 0 1538422313.692 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422313.693 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538422313.697 * [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 1538422313.697 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.697 * [misc]backup-simplify: Simplify 0 into 0 1538422313.697 * [misc]backup-simplify: Simplify 0 into 0 1538422313.698 * [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)))) 1538422313.698 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.698 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538422313.698 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422313.698 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422313.698 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422313.698 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.698 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.698 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.698 * [misc]taylor: Taking taylor expansion of k in k 1538422313.698 * [misc]backup-simplify: Simplify 0 into 0 1538422313.698 * [misc]backup-simplify: Simplify 1 into 1 1538422313.698 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.699 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422313.699 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422313.699 * [misc]taylor: Taking taylor expansion of -2 in k 1538422313.699 * [misc]backup-simplify: Simplify -2 into -2 1538422313.699 * [misc]taylor: Taking taylor expansion of n in k 1538422313.699 * [misc]backup-simplify: Simplify n into n 1538422313.699 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422313.699 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422313.699 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.699 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.699 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422313.699 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422313.700 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.700 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of k in n 1538422313.700 * [misc]backup-simplify: Simplify k into k 1538422313.700 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.700 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.700 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.700 * [misc]backup-simplify: Simplify -2 into -2 1538422313.700 * [misc]taylor: Taking taylor expansion of n in n 1538422313.700 * [misc]backup-simplify: Simplify 0 into 0 1538422313.700 * [misc]backup-simplify: Simplify 1 into 1 1538422313.700 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.701 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.701 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.701 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.701 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.701 * [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))) 1538422313.702 * [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)))) 1538422313.702 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.702 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of k in n 1538422313.702 * [misc]backup-simplify: Simplify k into k 1538422313.702 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422313.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422313.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.702 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422313.702 * [misc]taylor: Taking taylor expansion of -2 in n 1538422313.702 * [misc]backup-simplify: Simplify -2 into -2 1538422313.702 * [misc]taylor: Taking taylor expansion of n in n 1538422313.702 * [misc]backup-simplify: Simplify 0 into 0 1538422313.702 * [misc]backup-simplify: Simplify 1 into 1 1538422313.703 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422313.703 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.703 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422313.703 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422313.703 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.703 * [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))) 1538422313.704 * [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)))) 1538422313.704 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of k in k 1538422313.704 * [misc]backup-simplify: Simplify 0 into 0 1538422313.704 * [misc]backup-simplify: Simplify 1 into 1 1538422313.704 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422313.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422313.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422313.704 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of -2 in k 1538422313.704 * [misc]backup-simplify: Simplify -2 into -2 1538422313.704 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422313.704 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422313.704 * [misc]taylor: Taking taylor expansion of n in k 1538422313.704 * [misc]backup-simplify: Simplify n into n 1538422313.704 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422313.704 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422313.705 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422313.705 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422313.705 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538422313.705 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538422313.705 * [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)))) 1538422313.705 * [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)))) 1538422313.706 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422313.707 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422313.707 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422313.707 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422313.708 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.708 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.708 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538422313.709 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422313.709 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.709 * [misc]backup-simplify: Simplify 0 into 0 1538422313.709 * [misc]backup-simplify: Simplify 0 into 0 1538422313.709 * [misc]backup-simplify: Simplify 0 into 0 1538422313.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.712 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538422313.712 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422313.712 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422313.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.713 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.713 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538422313.714 * [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 1538422313.714 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.714 * [misc]backup-simplify: Simplify 0 into 0 1538422313.714 * [misc]backup-simplify: Simplify 0 into 0 1538422313.714 * [misc]backup-simplify: Simplify 0 into 0 1538422313.714 * [misc]backup-simplify: Simplify 0 into 0 1538422313.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422313.719 * [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 1538422313.719 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422313.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422313.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422313.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422313.720 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1538422313.722 * [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 1538422313.722 * [misc]taylor: Taking taylor expansion of 0 in k 1538422313.722 * [misc]backup-simplify: Simplify 0 into 0 1538422313.722 * [misc]backup-simplify: Simplify 0 into 0 1538422313.722 * [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))))) 1538422313.722 * * * [misc]progress: simplifying candidates 1538422313.722 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1538422313.722 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1538422313.722 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1538422313.722 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1538422313.723 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1538422313.723 * * [misc]simplify: iters left: 3 (5 enodes) 1538422313.723 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1538422313.723 * [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)))))) 1538422313.723 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1538422313.724 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538422313.724 * * [misc]simplify: iters left: 5 (6 enodes) 1538422313.725 * * [misc]simplify: iters left: 4 (8 enodes) 1538422313.726 * * [misc]simplify: iters left: 3 (11 enodes) 1538422313.727 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538422313.727 * [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)))))) 1538422313.727 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1538422313.727 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538422313.727 * * [misc]simplify: iters left: 5 (6 enodes) 1538422313.728 * * [misc]simplify: iters left: 4 (8 enodes) 1538422313.729 * * [misc]simplify: iters left: 3 (11 enodes) 1538422313.731 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538422313.731 * [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)))))) 1538422313.731 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1538422313.731 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538422313.731 * * [misc]simplify: iters left: 4 (5 enodes) 1538422313.732 * * [misc]simplify: iters left: 3 (7 enodes) 1538422313.733 * * [misc]simplify: iters left: 2 (10 enodes) 1538422313.734 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538422313.734 * [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)))))) 1538422313.734 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1538422313.734 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538422313.734 * * [misc]simplify: iters left: 5 (6 enodes) 1538422313.735 * * [misc]simplify: iters left: 4 (8 enodes) 1538422313.736 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538422313.736 * [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)))))) 1538422313.736 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1538422313.737 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538422313.737 * * [misc]simplify: iters left: 5 (6 enodes) 1538422313.737 * * [misc]simplify: iters left: 4 (8 enodes) 1538422313.739 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538422313.739 * [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)))))) 1538422313.739 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1538422313.739 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1538422313.739 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538422313.739 * * [misc]simplify: iters left: 6 (16 enodes) 1538422313.742 * * [misc]simplify: iters left: 5 (31 enodes) 1538422313.747 * * [misc]simplify: iters left: 4 (70 enodes) 1538422313.780 * * [misc]simplify: iters left: 3 (225 enodes) 1538422313.956 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1538422313.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1538422313.956 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1538422313.957 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538422313.957 * * [misc]simplify: iters left: 6 (16 enodes) 1538422313.960 * * [misc]simplify: iters left: 5 (31 enodes) 1538422313.965 * * [misc]simplify: iters left: 4 (70 enodes) 1538422313.992 * * [misc]simplify: iters left: 3 (225 enodes) 1538422314.156 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1538422314.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1538422314.157 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1538422314.157 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422314.157 * * [misc]simplify: iters left: 6 (16 enodes) 1538422314.159 * * [misc]simplify: iters left: 5 (29 enodes) 1538422314.164 * * [misc]simplify: iters left: 4 (58 enodes) 1538422314.176 * * [misc]simplify: iters left: 3 (142 enodes) 1538422314.260 * * [misc]simplify: iters left: 2 (491 enodes) 1538422314.584 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1538422314.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1538422314.584 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1538422314.585 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422314.585 * * [misc]simplify: iters left: 6 (15 enodes) 1538422314.589 * * [misc]simplify: iters left: 5 (25 enodes) 1538422314.595 * * [misc]simplify: iters left: 4 (42 enodes) 1538422314.613 * * [misc]simplify: iters left: 3 (87 enodes) 1538422314.637 * * [misc]simplify: iters left: 2 (190 enodes) 1538422314.774 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1538422314.774 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1538422314.774 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1538422314.775 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538422314.775 * * [misc]simplify: iters left: 6 (16 enodes) 1538422314.780 * * [misc]simplify: iters left: 5 (31 enodes) 1538422314.790 * * [misc]simplify: iters left: 4 (64 enodes) 1538422314.819 * * [misc]simplify: iters left: 3 (197 enodes) 1538422314.945 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1538422314.945 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1538422314.945 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1538422314.946 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538422314.946 * * [misc]simplify: iters left: 6 (16 enodes) 1538422314.952 * * [misc]simplify: iters left: 5 (31 enodes) 1538422314.962 * * [misc]simplify: iters left: 4 (64 enodes) 1538422314.991 * * [misc]simplify: iters left: 3 (197 enodes) 1538422315.132 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1538422315.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1538422315.133 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1538422315.133 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422315.133 * * [misc]simplify: iters left: 6 (16 enodes) 1538422315.135 * * [misc]simplify: iters left: 5 (29 enodes) 1538422315.140 * * [misc]simplify: iters left: 4 (52 enodes) 1538422315.149 * * [misc]simplify: iters left: 3 (114 enodes) 1538422315.193 * * [misc]simplify: iters left: 2 (450 enodes) 1538422315.452 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1538422315.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1538422315.452 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1538422315.452 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422315.453 * * [misc]simplify: iters left: 6 (15 enodes) 1538422315.457 * * [misc]simplify: iters left: 5 (25 enodes) 1538422315.464 * * [misc]simplify: iters left: 4 (37 enodes) 1538422315.475 * * [misc]simplify: iters left: 3 (63 enodes) 1538422315.500 * * [misc]simplify: iters left: 2 (161 enodes) 1538422315.603 * * [misc]simplify: iters left: 1 (499 enodes) 1538422315.912 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1538422315.912 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1538422315.912 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1538422315.912 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1538422315.912 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1538422315.912 * [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)))))) 1538422315.912 * * [misc]simplify: iters left: 6 (19 enodes) 1538422315.915 * * [misc]simplify: iters left: 5 (36 enodes) 1538422315.921 * * [misc]simplify: iters left: 4 (112 enodes) 1538422315.952 * * [misc]simplify: iters left: 3 (434 enodes) 1538422316.379 * [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)))))) 1538422316.379 * [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)))))))) 1538422316.379 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1538422316.380 * [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)))))) 1538422316.380 * * [misc]simplify: iters left: 6 (17 enodes) 1538422316.383 * * [misc]simplify: iters left: 5 (35 enodes) 1538422316.389 * * [misc]simplify: iters left: 4 (92 enodes) 1538422316.425 * * [misc]simplify: iters left: 3 (254 enodes) 1538422316.580 * [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)))))) 1538422316.580 * [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)))))))) 1538422316.580 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1538422316.580 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1538422316.580 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1538422316.580 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1538422316.580 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1538422316.580 * [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))))))) 1538422316.581 * * [misc]simplify: iters left: 6 (15 enodes) 1538422316.584 * * [misc]simplify: iters left: 5 (21 enodes) 1538422316.587 * * [misc]simplify: iters left: 4 (24 enodes) 1538422316.590 * [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)))))) 1538422316.590 * [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)))))))) 1538422316.590 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.590 * * [misc]simplify: iters left: 6 (15 enodes) 1538422316.595 * * [misc]simplify: iters left: 5 (19 enodes) 1538422316.597 * * [misc]simplify: iters left: 4 (20 enodes) 1538422316.600 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.600 * [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)))))))) 1538422316.600 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1538422316.600 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.600 * * [misc]simplify: iters left: 6 (14 enodes) 1538422316.602 * * [misc]simplify: iters left: 5 (18 enodes) 1538422316.605 * * [misc]simplify: iters left: 4 (21 enodes) 1538422316.607 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.608 * [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)))))))) 1538422316.608 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.608 * * [misc]simplify: iters left: 6 (15 enodes) 1538422316.610 * * [misc]simplify: iters left: 5 (19 enodes) 1538422316.612 * * [misc]simplify: iters left: 4 (20 enodes) 1538422316.615 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.615 * [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)))))))) 1538422316.615 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1538422316.615 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422316.615 * * [misc]simplify: iters left: 6 (13 enodes) 1538422316.617 * * [misc]simplify: iters left: 5 (20 enodes) 1538422316.621 * * [misc]simplify: iters left: 4 (27 enodes) 1538422316.629 * * [misc]simplify: iters left: 3 (39 enodes) 1538422316.640 * * [misc]simplify: iters left: 2 (44 enodes) 1538422316.650 * * [misc]simplify: iters left: 1 (51 enodes) 1538422316.663 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538422316.663 * [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))))))) 1538422316.664 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422316.664 * * [misc]simplify: iters left: 6 (13 enodes) 1538422316.668 * * [misc]simplify: iters left: 5 (18 enodes) 1538422316.673 * * [misc]simplify: iters left: 4 (21 enodes) 1538422316.679 * * [misc]simplify: iters left: 3 (23 enodes) 1538422316.685 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538422316.685 * [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)))))) 1538422316.685 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1538422316.685 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422316.686 * * [misc]simplify: iters left: 6 (13 enodes) 1538422316.690 * * [misc]simplify: iters left: 5 (20 enodes) 1538422316.695 * * [misc]simplify: iters left: 4 (27 enodes) 1538422316.703 * * [misc]simplify: iters left: 3 (39 enodes) 1538422316.708 * * [misc]simplify: iters left: 2 (44 enodes) 1538422316.714 * * [misc]simplify: iters left: 1 (51 enodes) 1538422316.720 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538422316.720 * [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))))))) 1538422316.720 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422316.720 * * [misc]simplify: iters left: 6 (13 enodes) 1538422316.722 * * [misc]simplify: iters left: 5 (18 enodes) 1538422316.724 * * [misc]simplify: iters left: 4 (21 enodes) 1538422316.727 * * [misc]simplify: iters left: 3 (23 enodes) 1538422316.730 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538422316.730 * [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)))))) 1538422316.730 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1538422316.730 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422316.730 * * [misc]simplify: iters left: 6 (14 enodes) 1538422316.733 * * [misc]simplify: iters left: 5 (21 enodes) 1538422316.738 * * [misc]simplify: iters left: 4 (31 enodes) 1538422316.743 * * [misc]simplify: iters left: 3 (43 enodes) 1538422316.748 * * [misc]simplify: iters left: 2 (48 enodes) 1538422316.754 * * [misc]simplify: iters left: 1 (55 enodes) 1538422316.761 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1538422316.761 * [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))))))) 1538422316.761 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422316.761 * * [misc]simplify: iters left: 6 (13 enodes) 1538422316.763 * * [misc]simplify: iters left: 5 (18 enodes) 1538422316.766 * * [misc]simplify: iters left: 4 (22 enodes) 1538422316.768 * * [misc]simplify: iters left: 3 (24 enodes) 1538422316.771 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538422316.771 * [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)))))) 1538422316.772 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1538422316.772 * [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))))))) 1538422316.772 * * [misc]simplify: iters left: 6 (17 enodes) 1538422316.775 * * [misc]simplify: iters left: 5 (29 enodes) 1538422316.782 * * [misc]simplify: iters left: 4 (50 enodes) 1538422316.798 * * [misc]simplify: iters left: 3 (73 enodes) 1538422316.818 * * [misc]simplify: iters left: 2 (103 enodes) 1538422316.833 * * [misc]simplify: iters left: 1 (127 enodes) 1538422316.864 * [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)))) 1538422316.864 * [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)))))))) 1538422316.864 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.865 * * [misc]simplify: iters left: 6 (16 enodes) 1538422316.869 * * [misc]simplify: iters left: 5 (22 enodes) 1538422316.875 * * [misc]simplify: iters left: 4 (26 enodes) 1538422316.878 * * [misc]simplify: iters left: 3 (28 enodes) 1538422316.882 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422316.882 * [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))))))) 1538422316.882 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1538422316.882 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.882 * * [misc]simplify: iters left: 6 (16 enodes) 1538422316.885 * * [misc]simplify: iters left: 5 (24 enodes) 1538422316.889 * * [misc]simplify: iters left: 4 (34 enodes) 1538422316.893 * * [misc]simplify: iters left: 3 (46 enodes) 1538422316.899 * * [misc]simplify: iters left: 2 (51 enodes) 1538422316.906 * * [misc]simplify: iters left: 1 (58 enodes) 1538422316.921 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1538422316.921 * [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)))))))) 1538422316.921 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422316.921 * * [misc]simplify: iters left: 6 (16 enodes) 1538422316.927 * * [misc]simplify: iters left: 5 (22 enodes) 1538422316.933 * * [misc]simplify: iters left: 4 (26 enodes) 1538422316.940 * * [misc]simplify: iters left: 3 (28 enodes) 1538422316.947 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422316.947 * [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))))))) 1538422316.947 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1538422316.948 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422316.948 * * [misc]simplify: iters left: 6 (10 enodes) 1538422316.951 * * [misc]simplify: iters left: 5 (17 enodes) 1538422316.957 * * [misc]simplify: iters left: 4 (28 enodes) 1538422316.964 * * [misc]simplify: iters left: 3 (33 enodes) 1538422316.968 * * [misc]simplify: iters left: 2 (50 enodes) 1538422316.976 * * [misc]simplify: iters left: 1 (65 enodes) 1538422316.984 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538422316.984 * [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))))))) 1538422316.984 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422316.984 * * [misc]simplify: iters left: 6 (15 enodes) 1538422316.987 * * [misc]simplify: iters left: 5 (21 enodes) 1538422316.990 * * [misc]simplify: iters left: 4 (25 enodes) 1538422316.993 * * [misc]simplify: iters left: 3 (27 enodes) 1538422316.999 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1538422316.999 * [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))))) 1538422316.999 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1538422316.999 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422316.999 * * [misc]simplify: iters left: 6 (12 enodes) 1538422317.003 * * [misc]simplify: iters left: 5 (17 enodes) 1538422317.007 * * [misc]simplify: iters left: 4 (20 enodes) 1538422317.013 * * [misc]simplify: iters left: 3 (22 enodes) 1538422317.018 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538422317.018 * [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))))))) 1538422317.019 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422317.019 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.023 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.028 * * [misc]simplify: iters left: 4 (21 enodes) 1538422317.034 * * [misc]simplify: iters left: 3 (23 enodes) 1538422317.040 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538422317.040 * [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)))))) 1538422317.040 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1538422317.040 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422317.040 * * [misc]simplify: iters left: 6 (12 enodes) 1538422317.044 * * [misc]simplify: iters left: 5 (17 enodes) 1538422317.048 * * [misc]simplify: iters left: 4 (20 enodes) 1538422317.053 * * [misc]simplify: iters left: 3 (22 enodes) 1538422317.059 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538422317.059 * [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))))))) 1538422317.059 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422317.059 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.063 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.068 * * [misc]simplify: iters left: 4 (21 enodes) 1538422317.073 * * [misc]simplify: iters left: 3 (23 enodes) 1538422317.078 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538422317.078 * [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)))))) 1538422317.079 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1538422317.079 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422317.079 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.083 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.089 * * [misc]simplify: iters left: 4 (24 enodes) 1538422317.096 * * [misc]simplify: iters left: 3 (26 enodes) 1538422317.102 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422317.102 * [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))))))) 1538422317.103 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422317.103 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.107 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.112 * * [misc]simplify: iters left: 4 (22 enodes) 1538422317.118 * * [misc]simplify: iters left: 3 (24 enodes) 1538422317.124 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538422317.124 * [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)))))) 1538422317.124 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1538422317.125 * [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))))))) 1538422317.125 * * [misc]simplify: iters left: 6 (16 enodes) 1538422317.131 * * [misc]simplify: iters left: 5 (24 enodes) 1538422317.138 * * [misc]simplify: iters left: 4 (32 enodes) 1538422317.146 * * [misc]simplify: iters left: 3 (41 enodes) 1538422317.158 * * [misc]simplify: iters left: 2 (49 enodes) 1538422317.168 * * [misc]simplify: iters left: 1 (51 enodes) 1538422317.175 * [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)))))) 1538422317.175 * [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)))))))) 1538422317.175 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.176 * * [misc]simplify: iters left: 6 (16 enodes) 1538422317.178 * * [misc]simplify: iters left: 5 (22 enodes) 1538422317.181 * * [misc]simplify: iters left: 4 (26 enodes) 1538422317.184 * * [misc]simplify: iters left: 3 (28 enodes) 1538422317.188 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422317.188 * [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))))))) 1538422317.188 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1538422317.188 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.189 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.191 * * [misc]simplify: iters left: 5 (21 enodes) 1538422317.194 * * [misc]simplify: iters left: 4 (27 enodes) 1538422317.199 * * [misc]simplify: iters left: 3 (29 enodes) 1538422317.207 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422317.207 * [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)))))))) 1538422317.207 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.207 * * [misc]simplify: iters left: 6 (16 enodes) 1538422317.212 * * [misc]simplify: iters left: 5 (22 enodes) 1538422317.219 * * [misc]simplify: iters left: 4 (26 enodes) 1538422317.226 * * [misc]simplify: iters left: 3 (28 enodes) 1538422317.234 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422317.234 * [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))))))) 1538422317.234 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1538422317.234 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1538422317.234 * * [misc]simplify: iters left: 6 (9 enodes) 1538422317.237 * * [misc]simplify: iters left: 5 (14 enodes) 1538422317.242 * * [misc]simplify: iters left: 4 (21 enodes) 1538422317.247 * * [misc]simplify: iters left: 3 (23 enodes) 1538422317.252 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538422317.253 * [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))))))) 1538422317.253 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422317.253 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.258 * * [misc]simplify: iters left: 5 (21 enodes) 1538422317.264 * * [misc]simplify: iters left: 4 (25 enodes) 1538422317.270 * * [misc]simplify: iters left: 3 (27 enodes) 1538422317.278 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1538422317.278 * [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))))) 1538422317.278 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1538422317.278 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538422317.278 * * [misc]simplify: iters left: 6 (10 enodes) 1538422317.281 * * [misc]simplify: iters left: 5 (17 enodes) 1538422317.286 * * [misc]simplify: iters left: 4 (19 enodes) 1538422317.292 * * [misc]simplify: iters left: 3 (28 enodes) 1538422317.299 * * [misc]simplify: iters left: 2 (31 enodes) 1538422317.306 * * [misc]simplify: iters left: 1 (33 enodes) 1538422317.313 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538422317.313 * [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))))))) 1538422317.313 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422317.313 * * [misc]simplify: iters left: 6 (12 enodes) 1538422317.317 * * [misc]simplify: iters left: 5 (17 enodes) 1538422317.322 * * [misc]simplify: iters left: 4 (20 enodes) 1538422317.327 * * [misc]simplify: iters left: 3 (22 enodes) 1538422317.330 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422317.330 * [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))))) 1538422317.330 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1538422317.330 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538422317.330 * * [misc]simplify: iters left: 6 (10 enodes) 1538422317.332 * * [misc]simplify: iters left: 5 (17 enodes) 1538422317.334 * * [misc]simplify: iters left: 4 (19 enodes) 1538422317.337 * * [misc]simplify: iters left: 3 (28 enodes) 1538422317.341 * * [misc]simplify: iters left: 2 (31 enodes) 1538422317.344 * * [misc]simplify: iters left: 1 (33 enodes) 1538422317.348 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538422317.348 * [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))))))) 1538422317.348 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422317.348 * * [misc]simplify: iters left: 6 (12 enodes) 1538422317.350 * * [misc]simplify: iters left: 5 (17 enodes) 1538422317.352 * * [misc]simplify: iters left: 4 (20 enodes) 1538422317.355 * * [misc]simplify: iters left: 3 (22 enodes) 1538422317.359 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422317.359 * [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))))) 1538422317.359 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1538422317.360 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422317.360 * * [misc]simplify: iters left: 6 (12 enodes) 1538422317.363 * * [misc]simplify: iters left: 5 (19 enodes) 1538422317.368 * * [misc]simplify: iters left: 4 (24 enodes) 1538422317.376 * * [misc]simplify: iters left: 3 (33 enodes) 1538422317.385 * * [misc]simplify: iters left: 2 (36 enodes) 1538422317.392 * * [misc]simplify: iters left: 1 (39 enodes) 1538422317.397 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1538422317.397 * [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))))))) 1538422317.397 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422317.397 * * [misc]simplify: iters left: 6 (12 enodes) 1538422317.399 * * [misc]simplify: iters left: 5 (17 enodes) 1538422317.401 * * [misc]simplify: iters left: 4 (21 enodes) 1538422317.404 * * [misc]simplify: iters left: 3 (23 enodes) 1538422317.407 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422317.407 * [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)))))) 1538422317.407 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1538422317.407 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422317.407 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.410 * * [misc]simplify: iters left: 5 (25 enodes) 1538422317.413 * * [misc]simplify: iters left: 4 (32 enodes) 1538422317.418 * * [misc]simplify: iters left: 3 (47 enodes) 1538422317.424 * * [misc]simplify: iters left: 2 (62 enodes) 1538422317.433 * * [misc]simplify: iters left: 1 (76 enodes) 1538422317.444 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1538422317.444 * [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)))))))) 1538422317.444 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.445 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.447 * * [misc]simplify: iters left: 5 (21 enodes) 1538422317.450 * * [misc]simplify: iters left: 4 (25 enodes) 1538422317.453 * * [misc]simplify: iters left: 3 (27 enodes) 1538422317.457 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538422317.457 * [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))))) 1538422317.457 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1538422317.458 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.458 * * [misc]simplify: iters left: 6 (14 enodes) 1538422317.460 * * [misc]simplify: iters left: 5 (22 enodes) 1538422317.466 * * [misc]simplify: iters left: 4 (27 enodes) 1538422317.474 * * [misc]simplify: iters left: 3 (36 enodes) 1538422317.483 * * [misc]simplify: iters left: 2 (39 enodes) 1538422317.491 * * [misc]simplify: iters left: 1 (42 enodes) 1538422317.500 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1538422317.500 * [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)))))))) 1538422317.500 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.500 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.504 * * [misc]simplify: iters left: 5 (21 enodes) 1538422317.509 * * [misc]simplify: iters left: 4 (25 enodes) 1538422317.516 * * [misc]simplify: iters left: 3 (27 enodes) 1538422317.521 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538422317.521 * [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))))) 1538422317.521 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1538422317.521 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1538422317.521 * * [misc]simplify: iters left: 4 (6 enodes) 1538422317.522 * * [misc]simplify: iters left: 3 (9 enodes) 1538422317.523 * [exit]simplify: Simplified to (sqrt PI) 1538422317.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422317.523 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422317.523 * * [misc]simplify: iters left: 6 (14 enodes) 1538422317.525 * * [misc]simplify: iters left: 5 (20 enodes) 1538422317.528 * * [misc]simplify: iters left: 4 (24 enodes) 1538422317.531 * * [misc]simplify: iters left: 3 (26 enodes) 1538422317.534 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422317.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422317.534 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1538422317.535 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1538422317.535 * * [misc]simplify: iters left: 3 (5 enodes) 1538422317.535 * * [misc]simplify: iters left: 2 (8 enodes) 1538422317.537 * * [misc]simplify: iters left: 1 (10 enodes) 1538422317.537 * [exit]simplify: Simplified to (sqrt PI) 1538422317.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422317.538 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422317.538 * * [misc]simplify: iters left: 6 (14 enodes) 1538422317.540 * * [misc]simplify: iters left: 5 (20 enodes) 1538422317.543 * * [misc]simplify: iters left: 4 (24 enodes) 1538422317.546 * * [misc]simplify: iters left: 3 (26 enodes) 1538422317.550 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422317.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422317.550 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1538422317.551 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1538422317.551 * * [misc]simplify: iters left: 3 (6 enodes) 1538422317.552 * * [misc]simplify: iters left: 2 (7 enodes) 1538422317.553 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538422317.553 * [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))))))) 1538422317.553 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422317.553 * * [misc]simplify: iters left: 6 (14 enodes) 1538422317.555 * * [misc]simplify: iters left: 5 (22 enodes) 1538422317.558 * * [misc]simplify: iters left: 4 (26 enodes) 1538422317.562 * * [misc]simplify: iters left: 3 (36 enodes) 1538422317.566 * * [misc]simplify: iters left: 2 (38 enodes) 1538422317.570 * * [misc]simplify: iters left: 1 (43 enodes) 1538422317.574 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1538422317.574 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1538422317.574 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1538422317.575 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422317.575 * * [misc]simplify: iters left: 6 (11 enodes) 1538422317.576 * * [misc]simplify: iters left: 5 (16 enodes) 1538422317.578 * * [misc]simplify: iters left: 4 (19 enodes) 1538422317.582 * * [misc]simplify: iters left: 3 (21 enodes) 1538422317.587 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538422317.587 * [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))))) 1538422317.587 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1538422317.587 * * [misc]simplify: iters left: 6 (10 enodes) 1538422317.590 * * [misc]simplify: iters left: 5 (13 enodes) 1538422317.594 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1538422317.594 * [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))))) 1538422317.594 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1538422317.594 * [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))))))) 1538422317.595 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.599 * * [misc]simplify: iters left: 5 (21 enodes) 1538422317.604 * * [misc]simplify: iters left: 4 (24 enodes) 1538422317.611 * [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)))))) 1538422317.611 * [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)))))))) 1538422317.611 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.611 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.616 * * [misc]simplify: iters left: 5 (19 enodes) 1538422317.621 * * [misc]simplify: iters left: 4 (20 enodes) 1538422317.626 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.626 * [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)))))))) 1538422317.626 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1538422317.627 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.627 * * [misc]simplify: iters left: 6 (14 enodes) 1538422317.631 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.636 * * [misc]simplify: iters left: 4 (21 enodes) 1538422317.642 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.642 * [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)))))))) 1538422317.643 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.643 * * [misc]simplify: iters left: 6 (15 enodes) 1538422317.647 * * [misc]simplify: iters left: 5 (19 enodes) 1538422317.652 * * [misc]simplify: iters left: 4 (20 enodes) 1538422317.658 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.658 * [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)))))))) 1538422317.658 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1538422317.658 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422317.658 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.662 * * [misc]simplify: iters left: 5 (20 enodes) 1538422317.667 * * [misc]simplify: iters left: 4 (27 enodes) 1538422317.675 * * [misc]simplify: iters left: 3 (39 enodes) 1538422317.687 * * [misc]simplify: iters left: 2 (44 enodes) 1538422317.698 * * [misc]simplify: iters left: 1 (51 enodes) 1538422317.710 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538422317.711 * [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))))))) 1538422317.711 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422317.711 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.715 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.719 * * [misc]simplify: iters left: 4 (21 enodes) 1538422317.725 * * [misc]simplify: iters left: 3 (23 enodes) 1538422317.731 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538422317.731 * [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)))))) 1538422317.731 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1538422317.731 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422317.731 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.735 * * [misc]simplify: iters left: 5 (20 enodes) 1538422317.741 * * [misc]simplify: iters left: 4 (27 enodes) 1538422317.748 * * [misc]simplify: iters left: 3 (39 enodes) 1538422317.758 * * [misc]simplify: iters left: 2 (44 enodes) 1538422317.769 * * [misc]simplify: iters left: 1 (51 enodes) 1538422317.781 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538422317.781 * [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))))))) 1538422317.782 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422317.782 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.785 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.790 * * [misc]simplify: iters left: 4 (21 enodes) 1538422317.796 * * [misc]simplify: iters left: 3 (23 enodes) 1538422317.802 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538422317.802 * [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)))))) 1538422317.802 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1538422317.802 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422317.803 * * [misc]simplify: iters left: 6 (14 enodes) 1538422317.807 * * [misc]simplify: iters left: 5 (21 enodes) 1538422317.813 * * [misc]simplify: iters left: 4 (31 enodes) 1538422317.822 * * [misc]simplify: iters left: 3 (43 enodes) 1538422317.835 * * [misc]simplify: iters left: 2 (48 enodes) 1538422317.845 * * [misc]simplify: iters left: 1 (55 enodes) 1538422317.852 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1538422317.852 * [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))))))) 1538422317.852 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422317.852 * * [misc]simplify: iters left: 6 (13 enodes) 1538422317.854 * * [misc]simplify: iters left: 5 (18 enodes) 1538422317.857 * * [misc]simplify: iters left: 4 (22 enodes) 1538422317.859 * * [misc]simplify: iters left: 3 (24 enodes) 1538422317.863 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538422317.863 * [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)))))) 1538422317.863 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1538422317.863 * [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))))))) 1538422317.863 * * [misc]simplify: iters left: 6 (17 enodes) 1538422317.866 * * [misc]simplify: iters left: 5 (29 enodes) 1538422317.870 * * [misc]simplify: iters left: 4 (50 enodes) 1538422317.885 * * [misc]simplify: iters left: 3 (73 enodes) 1538422317.908 * * [misc]simplify: iters left: 2 (103 enodes) 1538422317.940 * * [misc]simplify: iters left: 1 (127 enodes) 1538422317.963 * [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)))) 1538422317.963 * [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)))))))) 1538422317.963 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.963 * * [misc]simplify: iters left: 6 (16 enodes) 1538422317.965 * * [misc]simplify: iters left: 5 (22 enodes) 1538422317.970 * * [misc]simplify: iters left: 4 (26 enodes) 1538422317.977 * * [misc]simplify: iters left: 3 (28 enodes) 1538422317.984 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422317.984 * [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))))))) 1538422317.984 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1538422317.984 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422317.985 * * [misc]simplify: iters left: 6 (16 enodes) 1538422317.989 * * [misc]simplify: iters left: 5 (24 enodes) 1538422317.996 * * [misc]simplify: iters left: 4 (34 enodes) 1538422318.005 * * [misc]simplify: iters left: 3 (46 enodes) 1538422318.011 * * [misc]simplify: iters left: 2 (51 enodes) 1538422318.017 * * [misc]simplify: iters left: 1 (58 enodes) 1538422318.025 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1538422318.025 * [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)))))))) 1538422318.025 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.025 * * [misc]simplify: iters left: 6 (16 enodes) 1538422318.027 * * [misc]simplify: iters left: 5 (22 enodes) 1538422318.034 * * [misc]simplify: iters left: 4 (26 enodes) 1538422318.041 * * [misc]simplify: iters left: 3 (28 enodes) 1538422318.048 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422318.048 * [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))))))) 1538422318.048 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1538422318.049 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422318.049 * * [misc]simplify: iters left: 6 (10 enodes) 1538422318.052 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.058 * * [misc]simplify: iters left: 4 (28 enodes) 1538422318.065 * * [misc]simplify: iters left: 3 (33 enodes) 1538422318.070 * * [misc]simplify: iters left: 2 (50 enodes) 1538422318.077 * * [misc]simplify: iters left: 1 (65 enodes) 1538422318.086 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538422318.086 * [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))))))) 1538422318.086 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422318.086 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.088 * * [misc]simplify: iters left: 5 (21 enodes) 1538422318.091 * * [misc]simplify: iters left: 4 (25 enodes) 1538422318.094 * * [misc]simplify: iters left: 3 (27 enodes) 1538422318.098 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1538422318.098 * [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))))) 1538422318.098 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1538422318.098 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422318.098 * * [misc]simplify: iters left: 6 (12 enodes) 1538422318.100 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.102 * * [misc]simplify: iters left: 4 (20 enodes) 1538422318.106 * * [misc]simplify: iters left: 3 (22 enodes) 1538422318.111 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538422318.111 * [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))))))) 1538422318.111 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422318.112 * * [misc]simplify: iters left: 6 (13 enodes) 1538422318.116 * * [misc]simplify: iters left: 5 (18 enodes) 1538422318.121 * * [misc]simplify: iters left: 4 (21 enodes) 1538422318.127 * * [misc]simplify: iters left: 3 (23 enodes) 1538422318.133 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538422318.133 * [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)))))) 1538422318.133 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1538422318.133 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422318.134 * * [misc]simplify: iters left: 6 (12 enodes) 1538422318.137 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.143 * * [misc]simplify: iters left: 4 (20 enodes) 1538422318.148 * * [misc]simplify: iters left: 3 (22 enodes) 1538422318.154 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538422318.154 * [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))))))) 1538422318.155 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422318.155 * * [misc]simplify: iters left: 6 (13 enodes) 1538422318.158 * * [misc]simplify: iters left: 5 (18 enodes) 1538422318.161 * * [misc]simplify: iters left: 4 (21 enodes) 1538422318.164 * * [misc]simplify: iters left: 3 (23 enodes) 1538422318.167 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538422318.167 * [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)))))) 1538422318.167 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1538422318.167 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422318.167 * * [misc]simplify: iters left: 6 (13 enodes) 1538422318.169 * * [misc]simplify: iters left: 5 (18 enodes) 1538422318.172 * * [misc]simplify: iters left: 4 (24 enodes) 1538422318.175 * * [misc]simplify: iters left: 3 (26 enodes) 1538422318.178 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422318.178 * [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))))))) 1538422318.179 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422318.179 * * [misc]simplify: iters left: 6 (13 enodes) 1538422318.181 * * [misc]simplify: iters left: 5 (18 enodes) 1538422318.183 * * [misc]simplify: iters left: 4 (22 enodes) 1538422318.186 * * [misc]simplify: iters left: 3 (24 enodes) 1538422318.189 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538422318.189 * [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)))))) 1538422318.189 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1538422318.189 * [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))))))) 1538422318.189 * * [misc]simplify: iters left: 6 (16 enodes) 1538422318.192 * * [misc]simplify: iters left: 5 (24 enodes) 1538422318.195 * * [misc]simplify: iters left: 4 (32 enodes) 1538422318.200 * * [misc]simplify: iters left: 3 (41 enodes) 1538422318.211 * * [misc]simplify: iters left: 2 (49 enodes) 1538422318.217 * * [misc]simplify: iters left: 1 (51 enodes) 1538422318.224 * [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)))))) 1538422318.224 * [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)))))))) 1538422318.224 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.224 * * [misc]simplify: iters left: 6 (16 enodes) 1538422318.227 * * [misc]simplify: iters left: 5 (22 enodes) 1538422318.231 * * [misc]simplify: iters left: 4 (26 enodes) 1538422318.234 * * [misc]simplify: iters left: 3 (28 enodes) 1538422318.238 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422318.238 * [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))))))) 1538422318.238 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1538422318.238 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.238 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.240 * * [misc]simplify: iters left: 5 (21 enodes) 1538422318.243 * * [misc]simplify: iters left: 4 (27 enodes) 1538422318.250 * * [misc]simplify: iters left: 3 (29 enodes) 1538422318.258 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422318.258 * [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)))))))) 1538422318.258 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.258 * * [misc]simplify: iters left: 6 (16 enodes) 1538422318.263 * * [misc]simplify: iters left: 5 (22 enodes) 1538422318.269 * * [misc]simplify: iters left: 4 (26 enodes) 1538422318.276 * * [misc]simplify: iters left: 3 (28 enodes) 1538422318.284 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422318.284 * [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))))))) 1538422318.284 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1538422318.284 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1538422318.285 * * [misc]simplify: iters left: 6 (9 enodes) 1538422318.287 * * [misc]simplify: iters left: 5 (14 enodes) 1538422318.292 * * [misc]simplify: iters left: 4 (21 enodes) 1538422318.297 * * [misc]simplify: iters left: 3 (23 enodes) 1538422318.300 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538422318.300 * [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))))))) 1538422318.300 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422318.300 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.303 * * [misc]simplify: iters left: 5 (21 enodes) 1538422318.306 * * [misc]simplify: iters left: 4 (25 enodes) 1538422318.309 * * [misc]simplify: iters left: 3 (27 enodes) 1538422318.313 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1538422318.313 * [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))))) 1538422318.313 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1538422318.313 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538422318.313 * * [misc]simplify: iters left: 6 (10 enodes) 1538422318.315 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.317 * * [misc]simplify: iters left: 4 (19 enodes) 1538422318.320 * * [misc]simplify: iters left: 3 (28 enodes) 1538422318.323 * * [misc]simplify: iters left: 2 (31 enodes) 1538422318.326 * * [misc]simplify: iters left: 1 (33 enodes) 1538422318.333 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538422318.333 * [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))))))) 1538422318.333 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422318.333 * * [misc]simplify: iters left: 6 (12 enodes) 1538422318.337 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.343 * * [misc]simplify: iters left: 4 (20 enodes) 1538422318.349 * * [misc]simplify: iters left: 3 (22 enodes) 1538422318.354 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422318.354 * [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))))) 1538422318.355 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1538422318.355 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538422318.355 * * [misc]simplify: iters left: 6 (10 enodes) 1538422318.357 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.359 * * [misc]simplify: iters left: 4 (19 enodes) 1538422318.362 * * [misc]simplify: iters left: 3 (28 enodes) 1538422318.365 * * [misc]simplify: iters left: 2 (31 enodes) 1538422318.368 * * [misc]simplify: iters left: 1 (33 enodes) 1538422318.372 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538422318.372 * [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))))))) 1538422318.372 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422318.372 * * [misc]simplify: iters left: 6 (12 enodes) 1538422318.374 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.376 * * [misc]simplify: iters left: 4 (20 enodes) 1538422318.379 * * [misc]simplify: iters left: 3 (22 enodes) 1538422318.382 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422318.382 * [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))))) 1538422318.382 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1538422318.382 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422318.382 * * [misc]simplify: iters left: 6 (12 enodes) 1538422318.384 * * [misc]simplify: iters left: 5 (19 enodes) 1538422318.389 * * [misc]simplify: iters left: 4 (24 enodes) 1538422318.395 * * [misc]simplify: iters left: 3 (33 enodes) 1538422318.402 * * [misc]simplify: iters left: 2 (36 enodes) 1538422318.409 * * [misc]simplify: iters left: 1 (39 enodes) 1538422318.417 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1538422318.417 * [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))))))) 1538422318.418 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422318.418 * * [misc]simplify: iters left: 6 (12 enodes) 1538422318.421 * * [misc]simplify: iters left: 5 (17 enodes) 1538422318.425 * * [misc]simplify: iters left: 4 (21 enodes) 1538422318.430 * * [misc]simplify: iters left: 3 (23 enodes) 1538422318.435 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422318.435 * [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)))))) 1538422318.435 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1538422318.436 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422318.436 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.440 * * [misc]simplify: iters left: 5 (25 enodes) 1538422318.446 * * [misc]simplify: iters left: 4 (32 enodes) 1538422318.456 * * [misc]simplify: iters left: 3 (47 enodes) 1538422318.469 * * [misc]simplify: iters left: 2 (62 enodes) 1538422318.486 * * [misc]simplify: iters left: 1 (76 enodes) 1538422318.508 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1538422318.508 * [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)))))))) 1538422318.509 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.509 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.513 * * [misc]simplify: iters left: 5 (21 enodes) 1538422318.520 * * [misc]simplify: iters left: 4 (25 enodes) 1538422318.526 * * [misc]simplify: iters left: 3 (27 enodes) 1538422318.533 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538422318.533 * [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))))) 1538422318.534 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1538422318.534 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.534 * * [misc]simplify: iters left: 6 (14 enodes) 1538422318.539 * * [misc]simplify: iters left: 5 (22 enodes) 1538422318.542 * * [misc]simplify: iters left: 4 (27 enodes) 1538422318.546 * * [misc]simplify: iters left: 3 (36 enodes) 1538422318.550 * * [misc]simplify: iters left: 2 (39 enodes) 1538422318.554 * * [misc]simplify: iters left: 1 (42 enodes) 1538422318.559 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1538422318.560 * [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)))))))) 1538422318.560 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.560 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.564 * * [misc]simplify: iters left: 5 (21 enodes) 1538422318.571 * * [misc]simplify: iters left: 4 (25 enodes) 1538422318.579 * * [misc]simplify: iters left: 3 (27 enodes) 1538422318.586 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538422318.586 * [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))))) 1538422318.586 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1538422318.586 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1538422318.586 * * [misc]simplify: iters left: 4 (6 enodes) 1538422318.588 * * [misc]simplify: iters left: 3 (9 enodes) 1538422318.590 * [exit]simplify: Simplified to (sqrt PI) 1538422318.590 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422318.591 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422318.591 * * [misc]simplify: iters left: 6 (14 enodes) 1538422318.595 * * [misc]simplify: iters left: 5 (20 enodes) 1538422318.601 * * [misc]simplify: iters left: 4 (24 enodes) 1538422318.607 * * [misc]simplify: iters left: 3 (26 enodes) 1538422318.613 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422318.613 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422318.613 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1538422318.613 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1538422318.613 * * [misc]simplify: iters left: 3 (5 enodes) 1538422318.614 * * [misc]simplify: iters left: 2 (8 enodes) 1538422318.615 * * [misc]simplify: iters left: 1 (10 enodes) 1538422318.616 * [exit]simplify: Simplified to (sqrt PI) 1538422318.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422318.616 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422318.617 * * [misc]simplify: iters left: 6 (14 enodes) 1538422318.619 * * [misc]simplify: iters left: 5 (20 enodes) 1538422318.621 * * [misc]simplify: iters left: 4 (24 enodes) 1538422318.624 * * [misc]simplify: iters left: 3 (26 enodes) 1538422318.628 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422318.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422318.628 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1538422318.628 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1538422318.628 * * [misc]simplify: iters left: 3 (6 enodes) 1538422318.629 * * [misc]simplify: iters left: 2 (7 enodes) 1538422318.630 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538422318.630 * [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))))))) 1538422318.630 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422318.630 * * [misc]simplify: iters left: 6 (14 enodes) 1538422318.632 * * [misc]simplify: iters left: 5 (22 enodes) 1538422318.635 * * [misc]simplify: iters left: 4 (26 enodes) 1538422318.639 * * [misc]simplify: iters left: 3 (36 enodes) 1538422318.644 * * [misc]simplify: iters left: 2 (38 enodes) 1538422318.647 * * [misc]simplify: iters left: 1 (43 enodes) 1538422318.652 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1538422318.652 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1538422318.652 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1538422318.652 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422318.652 * * [misc]simplify: iters left: 6 (11 enodes) 1538422318.654 * * [misc]simplify: iters left: 5 (16 enodes) 1538422318.657 * * [misc]simplify: iters left: 4 (19 enodes) 1538422318.662 * * [misc]simplify: iters left: 3 (21 enodes) 1538422318.667 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538422318.667 * [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))))) 1538422318.667 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1538422318.667 * * [misc]simplify: iters left: 6 (10 enodes) 1538422318.670 * * [misc]simplify: iters left: 5 (13 enodes) 1538422318.674 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1538422318.674 * [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))))) 1538422318.674 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1538422318.674 * [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))))))) 1538422318.675 * * [misc]simplify: iters left: 6 (17 enodes) 1538422318.680 * * [misc]simplify: iters left: 5 (26 enodes) 1538422318.690 * * [misc]simplify: iters left: 4 (38 enodes) 1538422318.700 * * [misc]simplify: iters left: 3 (41 enodes) 1538422318.705 * * [misc]simplify: iters left: 2 (44 enodes) 1538422318.711 * [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))))))) 1538422318.711 * [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)))))))) 1538422318.711 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.711 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.713 * * [misc]simplify: iters left: 5 (18 enodes) 1538422318.716 * * [misc]simplify: iters left: 4 (21 enodes) 1538422318.719 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422318.719 * [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)))))))) 1538422318.719 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1538422318.719 * [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)))))) 1538422318.719 * * [misc]simplify: iters left: 6 (16 enodes) 1538422318.721 * * [misc]simplify: iters left: 5 (21 enodes) 1538422318.724 * * [misc]simplify: iters left: 4 (26 enodes) 1538422318.728 * * [misc]simplify: iters left: 3 (27 enodes) 1538422318.732 * [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)))))) 1538422318.732 * [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)))))))) 1538422318.732 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422318.732 * * [misc]simplify: iters left: 6 (15 enodes) 1538422318.737 * * [misc]simplify: iters left: 5 (18 enodes) 1538422318.742 * * [misc]simplify: iters left: 4 (21 enodes) 1538422318.748 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422318.748 * [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)))))))) 1538422318.748 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1538422318.749 * [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))) 1538422318.749 * * [misc]simplify: iters left: 6 (17 enodes) 1538422318.754 * * [misc]simplify: iters left: 5 (27 enodes) 1538422318.762 * * [misc]simplify: iters left: 4 (45 enodes) 1538422318.776 * * [misc]simplify: iters left: 3 (86 enodes) 1538422318.807 * * [misc]simplify: iters left: 2 (137 enodes) 1538422318.860 * * [misc]simplify: iters left: 1 (166 enodes) 1538422318.920 * [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)))))) 1538422318.920 * [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))))))) 1538422318.921 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422318.921 * * [misc]simplify: iters left: 6 (16 enodes) 1538422318.924 * * [misc]simplify: iters left: 5 (22 enodes) 1538422318.927 * * [misc]simplify: iters left: 4 (26 enodes) 1538422318.930 * * [misc]simplify: iters left: 3 (28 enodes) 1538422318.934 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422318.934 * [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))))))) 1538422318.934 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1538422318.934 * [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))) 1538422318.934 * * [misc]simplify: iters left: 6 (17 enodes) 1538422318.937 * * [misc]simplify: iters left: 5 (27 enodes) 1538422318.941 * * [misc]simplify: iters left: 4 (45 enodes) 1538422318.948 * * [misc]simplify: iters left: 3 (86 enodes) 1538422318.980 * * [misc]simplify: iters left: 2 (137 enodes) 1538422319.028 * * [misc]simplify: iters left: 1 (166 enodes) 1538422319.058 * [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)))))) 1538422319.058 * [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))))))) 1538422319.058 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422319.058 * * [misc]simplify: iters left: 6 (16 enodes) 1538422319.061 * * [misc]simplify: iters left: 5 (22 enodes) 1538422319.064 * * [misc]simplify: iters left: 4 (26 enodes) 1538422319.067 * * [misc]simplify: iters left: 3 (28 enodes) 1538422319.071 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422319.071 * [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))))))) 1538422319.071 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1538422319.071 * [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))))) 1538422319.071 * * [misc]simplify: iters left: 6 (16 enodes) 1538422319.076 * * [misc]simplify: iters left: 5 (24 enodes) 1538422319.083 * * [misc]simplify: iters left: 4 (42 enodes) 1538422319.097 * * [misc]simplify: iters left: 3 (83 enodes) 1538422319.127 * * [misc]simplify: iters left: 2 (134 enodes) 1538422319.175 * * [misc]simplify: iters left: 1 (163 enodes) 1538422319.234 * [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))))) 1538422319.234 * [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))))))) 1538422319.234 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422319.234 * * [misc]simplify: iters left: 6 (13 enodes) 1538422319.238 * * [misc]simplify: iters left: 5 (17 enodes) 1538422319.243 * * [misc]simplify: iters left: 4 (23 enodes) 1538422319.250 * * [misc]simplify: iters left: 3 (25 enodes) 1538422319.256 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422319.256 * [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))))))) 1538422319.257 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1538422319.257 * [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))))))) 1538422319.257 * * [misc]simplify: iters left: 6 (19 enodes) 1538422319.263 * * [misc]simplify: iters left: 5 (32 enodes) 1538422319.273 * * [misc]simplify: iters left: 4 (66 enodes) 1538422319.296 * * [misc]simplify: iters left: 3 (135 enodes) 1538422319.350 * * [misc]simplify: iters left: 2 (266 enodes) 1538422319.452 * * [misc]simplify: iters left: 1 (376 enodes) 1538422319.641 * [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))))) 1538422319.641 * [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)))))))) 1538422319.641 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422319.641 * * [misc]simplify: iters left: 6 (16 enodes) 1538422319.646 * * [misc]simplify: iters left: 5 (21 enodes) 1538422319.653 * * [misc]simplify: iters left: 4 (27 enodes) 1538422319.660 * * [misc]simplify: iters left: 3 (29 enodes) 1538422319.668 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422319.668 * [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))))) 1538422319.668 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1538422319.668 * [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)))))) 1538422319.669 * * [misc]simplify: iters left: 6 (18 enodes) 1538422319.674 * * [misc]simplify: iters left: 5 (27 enodes) 1538422319.683 * * [misc]simplify: iters left: 4 (45 enodes) 1538422319.690 * * [misc]simplify: iters left: 3 (86 enodes) 1538422319.706 * * [misc]simplify: iters left: 2 (137 enodes) 1538422319.754 * * [misc]simplify: iters left: 1 (166 enodes) 1538422319.793 * [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)))))) 1538422319.793 * [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)))))))) 1538422319.793 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422319.793 * * [misc]simplify: iters left: 6 (16 enodes) 1538422319.796 * * [misc]simplify: iters left: 5 (21 enodes) 1538422319.802 * * [misc]simplify: iters left: 4 (27 enodes) 1538422319.811 * * [misc]simplify: iters left: 3 (29 enodes) 1538422319.817 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422319.817 * [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))))) 1538422319.817 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1538422319.817 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422319.817 * * [misc]simplify: iters left: 6 (15 enodes) 1538422319.820 * * [misc]simplify: iters left: 5 (25 enodes) 1538422319.824 * * [misc]simplify: iters left: 4 (46 enodes) 1538422319.831 * * [misc]simplify: iters left: 3 (70 enodes) 1538422319.842 * * [misc]simplify: iters left: 2 (144 enodes) 1538422319.914 * * [misc]simplify: iters left: 1 (214 enodes) 1538422319.973 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538422319.973 * [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))))))) 1538422319.973 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422319.973 * * [misc]simplify: iters left: 6 (15 enodes) 1538422319.976 * * [misc]simplify: iters left: 5 (20 enodes) 1538422319.978 * * [misc]simplify: iters left: 4 (26 enodes) 1538422319.982 * * [misc]simplify: iters left: 3 (28 enodes) 1538422319.985 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422319.985 * [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))))))) 1538422319.985 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1538422319.986 * [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))) 1538422319.986 * * [misc]simplify: iters left: 6 (16 enodes) 1538422319.988 * * [misc]simplify: iters left: 5 (24 enodes) 1538422319.991 * * [misc]simplify: iters left: 4 (34 enodes) 1538422319.996 * * [misc]simplify: iters left: 3 (46 enodes) 1538422320.002 * * [misc]simplify: iters left: 2 (58 enodes) 1538422320.017 * * [misc]simplify: iters left: 1 (64 enodes) 1538422320.034 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538422320.034 * [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))))))) 1538422320.035 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422320.035 * * [misc]simplify: iters left: 6 (16 enodes) 1538422320.039 * * [misc]simplify: iters left: 5 (22 enodes) 1538422320.045 * * [misc]simplify: iters left: 4 (26 enodes) 1538422320.052 * * [misc]simplify: iters left: 3 (28 enodes) 1538422320.055 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422320.055 * [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))))))) 1538422320.055 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1538422320.055 * [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))) 1538422320.055 * * [misc]simplify: iters left: 6 (16 enodes) 1538422320.058 * * [misc]simplify: iters left: 5 (24 enodes) 1538422320.061 * * [misc]simplify: iters left: 4 (34 enodes) 1538422320.066 * * [misc]simplify: iters left: 3 (46 enodes) 1538422320.071 * * [misc]simplify: iters left: 2 (58 enodes) 1538422320.082 * * [misc]simplify: iters left: 1 (64 enodes) 1538422320.097 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538422320.097 * [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))))))) 1538422320.098 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422320.098 * * [misc]simplify: iters left: 6 (16 enodes) 1538422320.100 * * [misc]simplify: iters left: 5 (22 enodes) 1538422320.103 * * [misc]simplify: iters left: 4 (26 enodes) 1538422320.106 * * [misc]simplify: iters left: 3 (28 enodes) 1538422320.109 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422320.109 * [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))))))) 1538422320.109 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1538422320.110 * [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))))) 1538422320.110 * * [misc]simplify: iters left: 6 (15 enodes) 1538422320.112 * * [misc]simplify: iters left: 5 (21 enodes) 1538422320.115 * * [misc]simplify: iters left: 4 (31 enodes) 1538422320.120 * * [misc]simplify: iters left: 3 (43 enodes) 1538422320.125 * * [misc]simplify: iters left: 2 (55 enodes) 1538422320.137 * * [misc]simplify: iters left: 1 (61 enodes) 1538422320.153 * [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)))))) 1538422320.153 * [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))))))) 1538422320.154 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422320.154 * * [misc]simplify: iters left: 6 (13 enodes) 1538422320.157 * * [misc]simplify: iters left: 5 (17 enodes) 1538422320.162 * * [misc]simplify: iters left: 4 (23 enodes) 1538422320.166 * * [misc]simplify: iters left: 3 (25 enodes) 1538422320.169 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422320.169 * [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))))))) 1538422320.169 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1538422320.169 * [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))))))) 1538422320.169 * * [misc]simplify: iters left: 6 (18 enodes) 1538422320.172 * * [misc]simplify: iters left: 5 (27 enodes) 1538422320.176 * * [misc]simplify: iters left: 4 (41 enodes) 1538422320.182 * * [misc]simplify: iters left: 3 (67 enodes) 1538422320.192 * * [misc]simplify: iters left: 2 (106 enodes) 1538422320.217 * * [misc]simplify: iters left: 1 (137 enodes) 1538422320.238 * [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))))))) 1538422320.238 * [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)))))))) 1538422320.238 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422320.238 * * [misc]simplify: iters left: 6 (16 enodes) 1538422320.241 * * [misc]simplify: iters left: 5 (21 enodes) 1538422320.243 * * [misc]simplify: iters left: 4 (27 enodes) 1538422320.247 * * [misc]simplify: iters left: 3 (29 enodes) 1538422320.250 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422320.250 * [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))))) 1538422320.250 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1538422320.251 * [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)))))) 1538422320.251 * * [misc]simplify: iters left: 6 (17 enodes) 1538422320.253 * * [misc]simplify: iters left: 5 (24 enodes) 1538422320.257 * * [misc]simplify: iters left: 4 (34 enodes) 1538422320.261 * * [misc]simplify: iters left: 3 (46 enodes) 1538422320.271 * * [misc]simplify: iters left: 2 (58 enodes) 1538422320.288 * * [misc]simplify: iters left: 1 (64 enodes) 1538422320.306 * [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)))))) 1538422320.306 * [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)))))))) 1538422320.306 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422320.306 * * [misc]simplify: iters left: 6 (16 enodes) 1538422320.311 * * [misc]simplify: iters left: 5 (21 enodes) 1538422320.317 * * [misc]simplify: iters left: 4 (27 enodes) 1538422320.325 * * [misc]simplify: iters left: 3 (29 enodes) 1538422320.333 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422320.333 * [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))))) 1538422320.333 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1538422320.333 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1538422320.333 * * [misc]simplify: iters left: 6 (14 enodes) 1538422320.338 * * [misc]simplify: iters left: 5 (22 enodes) 1538422320.345 * * [misc]simplify: iters left: 4 (33 enodes) 1538422320.353 * * [misc]simplify: iters left: 3 (44 enodes) 1538422320.357 * * [misc]simplify: iters left: 2 (45 enodes) 1538422320.361 * * [misc]simplify: iters left: 1 (51 enodes) 1538422320.368 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422320.368 * [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))))))) 1538422320.368 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422320.368 * * [misc]simplify: iters left: 6 (15 enodes) 1538422320.370 * * [misc]simplify: iters left: 5 (20 enodes) 1538422320.374 * * [misc]simplify: iters left: 4 (26 enodes) 1538422320.381 * * [misc]simplify: iters left: 3 (28 enodes) 1538422320.388 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422320.388 * [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))))))) 1538422320.388 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1538422320.389 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538422320.389 * * [misc]simplify: iters left: 6 (15 enodes) 1538422320.393 * * [misc]simplify: iters left: 5 (25 enodes) 1538422320.400 * * [misc]simplify: iters left: 4 (35 enodes) 1538422320.411 * * [misc]simplify: iters left: 3 (50 enodes) 1538422320.426 * * [misc]simplify: iters left: 2 (98 enodes) 1538422320.469 * * [misc]simplify: iters left: 1 (235 enodes) 1538422320.538 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1538422320.538 * [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))))))) 1538422320.538 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422320.538 * * [misc]simplify: iters left: 6 (15 enodes) 1538422320.541 * * [misc]simplify: iters left: 5 (21 enodes) 1538422320.543 * * [misc]simplify: iters left: 4 (25 enodes) 1538422320.547 * * [misc]simplify: iters left: 3 (27 enodes) 1538422320.550 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538422320.550 * [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)))))) 1538422320.550 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1538422320.550 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538422320.550 * * [misc]simplify: iters left: 6 (15 enodes) 1538422320.554 * * [misc]simplify: iters left: 5 (25 enodes) 1538422320.561 * * [misc]simplify: iters left: 4 (35 enodes) 1538422320.571 * * [misc]simplify: iters left: 3 (50 enodes) 1538422320.583 * * [misc]simplify: iters left: 2 (98 enodes) 1538422320.615 * * [misc]simplify: iters left: 1 (235 enodes) 1538422320.717 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1538422320.717 * [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))))))) 1538422320.718 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422320.718 * * [misc]simplify: iters left: 6 (15 enodes) 1538422320.720 * * [misc]simplify: iters left: 5 (21 enodes) 1538422320.723 * * [misc]simplify: iters left: 4 (25 enodes) 1538422320.726 * * [misc]simplify: iters left: 3 (27 enodes) 1538422320.729 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538422320.729 * [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)))))) 1538422320.729 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1538422320.729 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422320.729 * * [misc]simplify: iters left: 6 (14 enodes) 1538422320.731 * * [misc]simplify: iters left: 5 (22 enodes) 1538422320.734 * * [misc]simplify: iters left: 4 (32 enodes) 1538422320.739 * * [misc]simplify: iters left: 3 (47 enodes) 1538422320.754 * * [misc]simplify: iters left: 2 (95 enodes) 1538422320.796 * * [misc]simplify: iters left: 1 (215 enodes) 1538422320.892 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422320.892 * [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))))))) 1538422320.892 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422320.893 * * [misc]simplify: iters left: 6 (12 enodes) 1538422320.894 * * [misc]simplify: iters left: 5 (16 enodes) 1538422320.897 * * [misc]simplify: iters left: 4 (22 enodes) 1538422320.900 * * [misc]simplify: iters left: 3 (24 enodes) 1538422320.903 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422320.903 * [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))))))) 1538422320.903 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1538422320.903 * [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))))))) 1538422320.903 * * [misc]simplify: iters left: 6 (17 enodes) 1538422320.908 * * [misc]simplify: iters left: 5 (28 enodes) 1538422320.916 * * [misc]simplify: iters left: 4 (42 enodes) 1538422320.930 * * [misc]simplify: iters left: 3 (69 enodes) 1538422320.954 * * [misc]simplify: iters left: 2 (137 enodes) 1538422321.023 * * [misc]simplify: iters left: 1 (398 enodes) 1538422321.269 * [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)))))) 1538422321.269 * [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)))))))) 1538422321.270 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422321.270 * * [misc]simplify: iters left: 6 (15 enodes) 1538422321.272 * * [misc]simplify: iters left: 5 (20 enodes) 1538422321.275 * * [misc]simplify: iters left: 4 (26 enodes) 1538422321.278 * * [misc]simplify: iters left: 3 (28 enodes) 1538422321.282 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422321.282 * [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))))))) 1538422321.282 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1538422321.282 * [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)))))) 1538422321.282 * * [misc]simplify: iters left: 6 (16 enodes) 1538422321.284 * * [misc]simplify: iters left: 5 (25 enodes) 1538422321.288 * * [misc]simplify: iters left: 4 (35 enodes) 1538422321.292 * * [misc]simplify: iters left: 3 (50 enodes) 1538422321.304 * * [misc]simplify: iters left: 2 (73 enodes) 1538422321.329 * * [misc]simplify: iters left: 1 (148 enodes) 1538422321.398 * [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)))))) 1538422321.398 * [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)))))))) 1538422321.398 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422321.398 * * [misc]simplify: iters left: 6 (15 enodes) 1538422321.403 * * [misc]simplify: iters left: 5 (20 enodes) 1538422321.409 * * [misc]simplify: iters left: 4 (26 enodes) 1538422321.416 * * [misc]simplify: iters left: 3 (28 enodes) 1538422321.423 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422321.423 * [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))))))) 1538422321.423 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1538422321.424 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1538422321.424 * * [misc]simplify: iters left: 6 (12 enodes) 1538422321.428 * * [misc]simplify: iters left: 5 (18 enodes) 1538422321.433 * * [misc]simplify: iters left: 4 (21 enodes) 1538422321.437 * * [misc]simplify: iters left: 3 (29 enodes) 1538422321.441 * * [misc]simplify: iters left: 2 (31 enodes) 1538422321.444 * * [misc]simplify: iters left: 1 (38 enodes) 1538422321.448 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422321.449 * [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))))))) 1538422321.449 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422321.449 * * [misc]simplify: iters left: 6 (14 enodes) 1538422321.451 * * [misc]simplify: iters left: 5 (19 enodes) 1538422321.453 * * [misc]simplify: iters left: 4 (25 enodes) 1538422321.457 * * [misc]simplify: iters left: 3 (27 enodes) 1538422321.460 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422321.460 * [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))))))) 1538422321.460 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1538422321.460 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1538422321.460 * * [misc]simplify: iters left: 6 (11 enodes) 1538422321.462 * * [misc]simplify: iters left: 5 (17 enodes) 1538422321.465 * * [misc]simplify: iters left: 4 (26 enodes) 1538422321.468 * * [misc]simplify: iters left: 3 (28 enodes) 1538422321.471 * * [misc]simplify: iters left: 2 (33 enodes) 1538422321.475 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422321.475 * [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))))))) 1538422321.475 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422321.475 * * [misc]simplify: iters left: 6 (14 enodes) 1538422321.477 * * [misc]simplify: iters left: 5 (19 enodes) 1538422321.480 * * [misc]simplify: iters left: 4 (25 enodes) 1538422321.484 * * [misc]simplify: iters left: 3 (27 enodes) 1538422321.487 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422321.487 * [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))))))) 1538422321.487 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1538422321.487 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1538422321.487 * * [misc]simplify: iters left: 6 (11 enodes) 1538422321.491 * * [misc]simplify: iters left: 5 (15 enodes) 1538422321.495 * * [misc]simplify: iters left: 4 (20 enodes) 1538422321.500 * * [misc]simplify: iters left: 3 (21 enodes) 1538422321.506 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538422321.506 * [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))))))) 1538422321.507 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422321.507 * * [misc]simplify: iters left: 6 (14 enodes) 1538422321.511 * * [misc]simplify: iters left: 5 (21 enodes) 1538422321.517 * * [misc]simplify: iters left: 4 (27 enodes) 1538422321.525 * * [misc]simplify: iters left: 3 (37 enodes) 1538422321.535 * * [misc]simplify: iters left: 2 (39 enodes) 1538422321.542 * * [misc]simplify: iters left: 1 (44 enodes) 1538422321.552 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422321.552 * [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))))))) 1538422321.552 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1538422321.552 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422321.553 * * [misc]simplify: iters left: 6 (15 enodes) 1538422321.558 * * [misc]simplify: iters left: 5 (23 enodes) 1538422321.564 * * [misc]simplify: iters left: 4 (33 enodes) 1538422321.574 * * [misc]simplify: iters left: 3 (45 enodes) 1538422321.586 * * [misc]simplify: iters left: 2 (57 enodes) 1538422321.600 * * [misc]simplify: iters left: 1 (63 enodes) 1538422321.618 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538422321.618 * [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))))) 1538422321.619 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538422321.619 * * [misc]simplify: iters left: 6 (12 enodes) 1538422321.622 * * [misc]simplify: iters left: 5 (15 enodes) 1538422321.627 * * [misc]simplify: iters left: 4 (18 enodes) 1538422321.629 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538422321.629 * [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))))) 1538422321.629 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1538422321.630 * [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))))))) 1538422321.630 * * [misc]simplify: iters left: 6 (16 enodes) 1538422321.632 * * [misc]simplify: iters left: 5 (21 enodes) 1538422321.635 * * [misc]simplify: iters left: 4 (24 enodes) 1538422321.638 * [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)))))) 1538422321.638 * [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)))))))) 1538422321.638 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422321.638 * * [misc]simplify: iters left: 6 (15 enodes) 1538422321.640 * * [misc]simplify: iters left: 5 (18 enodes) 1538422321.643 * * [misc]simplify: iters left: 4 (21 enodes) 1538422321.645 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422321.645 * [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)))))))) 1538422321.646 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1538422321.646 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422321.646 * * [misc]simplify: iters left: 6 (15 enodes) 1538422321.648 * * [misc]simplify: iters left: 5 (18 enodes) 1538422321.650 * * [misc]simplify: iters left: 4 (21 enodes) 1538422321.653 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422321.653 * [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)))))))) 1538422321.653 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422321.653 * * [misc]simplify: iters left: 6 (15 enodes) 1538422321.655 * * [misc]simplify: iters left: 5 (18 enodes) 1538422321.658 * * [misc]simplify: iters left: 4 (21 enodes) 1538422321.661 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422321.661 * [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)))))))) 1538422321.661 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1538422321.661 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422321.661 * * [misc]simplify: iters left: 6 (16 enodes) 1538422321.663 * * [misc]simplify: iters left: 5 (24 enodes) 1538422321.667 * * [misc]simplify: iters left: 4 (34 enodes) 1538422321.671 * * [misc]simplify: iters left: 3 (46 enodes) 1538422321.677 * * [misc]simplify: iters left: 2 (51 enodes) 1538422321.683 * * [misc]simplify: iters left: 1 (58 enodes) 1538422321.691 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1538422321.691 * [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))))))) 1538422321.691 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422321.691 * * [misc]simplify: iters left: 6 (16 enodes) 1538422321.693 * * [misc]simplify: iters left: 5 (22 enodes) 1538422321.696 * * [misc]simplify: iters left: 4 (26 enodes) 1538422321.700 * * [misc]simplify: iters left: 3 (28 enodes) 1538422321.703 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422321.703 * [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))))))) 1538422321.703 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1538422321.703 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422321.704 * * [misc]simplify: iters left: 6 (16 enodes) 1538422321.708 * * [misc]simplify: iters left: 5 (24 enodes) 1538422321.715 * * [misc]simplify: iters left: 4 (34 enodes) 1538422321.725 * * [misc]simplify: iters left: 3 (46 enodes) 1538422321.737 * * [misc]simplify: iters left: 2 (51 enodes) 1538422321.749 * * [misc]simplify: iters left: 1 (58 enodes) 1538422321.764 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1538422321.764 * [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))))))) 1538422321.764 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422321.764 * * [misc]simplify: iters left: 6 (16 enodes) 1538422321.769 * * [misc]simplify: iters left: 5 (22 enodes) 1538422321.775 * * [misc]simplify: iters left: 4 (26 enodes) 1538422321.782 * * [misc]simplify: iters left: 3 (28 enodes) 1538422321.789 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422321.789 * [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))))))) 1538422321.789 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1538422321.789 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422321.790 * * [misc]simplify: iters left: 6 (15 enodes) 1538422321.794 * * [misc]simplify: iters left: 5 (21 enodes) 1538422321.800 * * [misc]simplify: iters left: 4 (31 enodes) 1538422321.809 * * [misc]simplify: iters left: 3 (43 enodes) 1538422321.821 * * [misc]simplify: iters left: 2 (48 enodes) 1538422321.833 * * [misc]simplify: iters left: 1 (55 enodes) 1538422321.843 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422321.843 * [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))))))) 1538422321.843 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422321.843 * * [misc]simplify: iters left: 6 (13 enodes) 1538422321.845 * * [misc]simplify: iters left: 5 (17 enodes) 1538422321.847 * * [misc]simplify: iters left: 4 (23 enodes) 1538422321.850 * * [misc]simplify: iters left: 3 (25 enodes) 1538422321.853 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422321.853 * [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))))))) 1538422321.854 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1538422321.854 * [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))))))) 1538422321.854 * * [misc]simplify: iters left: 6 (18 enodes) 1538422321.856 * * [misc]simplify: iters left: 5 (29 enodes) 1538422321.861 * * [misc]simplify: iters left: 4 (50 enodes) 1538422321.869 * * [misc]simplify: iters left: 3 (73 enodes) 1538422321.891 * * [misc]simplify: iters left: 2 (103 enodes) 1538422321.920 * * [misc]simplify: iters left: 1 (127 enodes) 1538422321.942 * [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))))) 1538422321.942 * [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)))))))) 1538422321.943 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422321.943 * * [misc]simplify: iters left: 6 (16 enodes) 1538422321.945 * * [misc]simplify: iters left: 5 (21 enodes) 1538422321.948 * * [misc]simplify: iters left: 4 (27 enodes) 1538422321.955 * * [misc]simplify: iters left: 3 (29 enodes) 1538422321.962 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422321.962 * [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))))) 1538422321.962 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1538422321.963 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422321.963 * * [misc]simplify: iters left: 6 (17 enodes) 1538422321.968 * * [misc]simplify: iters left: 5 (24 enodes) 1538422321.974 * * [misc]simplify: iters left: 4 (34 enodes) 1538422321.984 * * [misc]simplify: iters left: 3 (46 enodes) 1538422321.996 * * [misc]simplify: iters left: 2 (51 enodes) 1538422322.008 * * [misc]simplify: iters left: 1 (58 enodes) 1538422322.024 * [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)))))) 1538422322.024 * [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)))))))) 1538422322.024 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.024 * * [misc]simplify: iters left: 6 (16 enodes) 1538422322.029 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.034 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.042 * * [misc]simplify: iters left: 3 (29 enodes) 1538422322.050 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422322.050 * [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))))) 1538422322.050 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1538422322.050 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422322.051 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.055 * * [misc]simplify: iters left: 5 (22 enodes) 1538422322.062 * * [misc]simplify: iters left: 4 (36 enodes) 1538422322.072 * * [misc]simplify: iters left: 3 (57 enodes) 1538422322.089 * * [misc]simplify: iters left: 2 (119 enodes) 1538422322.132 * * [misc]simplify: iters left: 1 (178 enodes) 1538422322.148 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422322.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422322.148 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422322.149 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.155 * * [misc]simplify: iters left: 5 (20 enodes) 1538422322.160 * * [misc]simplify: iters left: 4 (26 enodes) 1538422322.167 * * [misc]simplify: iters left: 3 (28 enodes) 1538422322.175 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422322.175 * [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))))))) 1538422322.175 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1538422322.175 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422322.175 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.180 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.186 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.193 * * [misc]simplify: iters left: 3 (29 enodes) 1538422322.200 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1538422322.200 * [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))))))) 1538422322.201 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422322.201 * * [misc]simplify: iters left: 6 (16 enodes) 1538422322.206 * * [misc]simplify: iters left: 5 (22 enodes) 1538422322.212 * * [misc]simplify: iters left: 4 (26 enodes) 1538422322.219 * * [misc]simplify: iters left: 3 (28 enodes) 1538422322.227 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422322.227 * [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))))))) 1538422322.227 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1538422322.227 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422322.227 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.232 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.238 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.245 * * [misc]simplify: iters left: 3 (29 enodes) 1538422322.252 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1538422322.252 * [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))))))) 1538422322.253 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422322.253 * * [misc]simplify: iters left: 6 (16 enodes) 1538422322.258 * * [misc]simplify: iters left: 5 (22 enodes) 1538422322.264 * * [misc]simplify: iters left: 4 (26 enodes) 1538422322.271 * * [misc]simplify: iters left: 3 (28 enodes) 1538422322.277 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422322.277 * [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))))))) 1538422322.277 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1538422322.277 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422322.277 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.279 * * [misc]simplify: iters left: 5 (18 enodes) 1538422322.282 * * [misc]simplify: iters left: 4 (24 enodes) 1538422322.285 * * [misc]simplify: iters left: 3 (26 enodes) 1538422322.289 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422322.289 * [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))))))) 1538422322.289 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422322.289 * * [misc]simplify: iters left: 6 (13 enodes) 1538422322.291 * * [misc]simplify: iters left: 5 (17 enodes) 1538422322.293 * * [misc]simplify: iters left: 4 (23 enodes) 1538422322.296 * * [misc]simplify: iters left: 3 (25 enodes) 1538422322.300 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422322.300 * [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))))))) 1538422322.300 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1538422322.300 * [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))))))) 1538422322.300 * * [misc]simplify: iters left: 6 (17 enodes) 1538422322.305 * * [misc]simplify: iters left: 5 (24 enodes) 1538422322.309 * * [misc]simplify: iters left: 4 (32 enodes) 1538422322.313 * * [misc]simplify: iters left: 3 (41 enodes) 1538422322.319 * * [misc]simplify: iters left: 2 (49 enodes) 1538422322.325 * * [misc]simplify: iters left: 1 (51 enodes) 1538422322.331 * [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)))))) 1538422322.332 * [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)))))))) 1538422322.332 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.332 * * [misc]simplify: iters left: 6 (16 enodes) 1538422322.334 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.339 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.347 * * [misc]simplify: iters left: 3 (29 enodes) 1538422322.354 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422322.354 * [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))))) 1538422322.354 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1538422322.354 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.355 * * [misc]simplify: iters left: 6 (16 enodes) 1538422322.359 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.362 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.365 * * [misc]simplify: iters left: 3 (29 enodes) 1538422322.369 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422322.369 * [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)))))))) 1538422322.369 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.369 * * [misc]simplify: iters left: 6 (16 enodes) 1538422322.372 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.375 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.378 * * [misc]simplify: iters left: 3 (29 enodes) 1538422322.382 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422322.382 * [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))))) 1538422322.382 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1538422322.382 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1538422322.382 * * [misc]simplify: iters left: 6 (13 enodes) 1538422322.384 * * [misc]simplify: iters left: 5 (19 enodes) 1538422322.387 * * [misc]simplify: iters left: 4 (29 enodes) 1538422322.394 * * [misc]simplify: iters left: 3 (33 enodes) 1538422322.398 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422322.398 * [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))))))) 1538422322.398 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422322.398 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.400 * * [misc]simplify: iters left: 5 (20 enodes) 1538422322.403 * * [misc]simplify: iters left: 4 (26 enodes) 1538422322.406 * * [misc]simplify: iters left: 3 (28 enodes) 1538422322.409 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422322.409 * [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))))))) 1538422322.409 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1538422322.410 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1538422322.410 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.412 * * [misc]simplify: iters left: 5 (22 enodes) 1538422322.415 * * [misc]simplify: iters left: 4 (28 enodes) 1538422322.419 * * [misc]simplify: iters left: 3 (38 enodes) 1538422322.423 * * [misc]simplify: iters left: 2 (40 enodes) 1538422322.431 * * [misc]simplify: iters left: 1 (45 enodes) 1538422322.441 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422322.441 * [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))))))) 1538422322.441 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422322.441 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.446 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.451 * * [misc]simplify: iters left: 4 (25 enodes) 1538422322.458 * * [misc]simplify: iters left: 3 (27 enodes) 1538422322.465 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538422322.465 * [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)))))) 1538422322.465 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1538422322.466 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1538422322.466 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.470 * * [misc]simplify: iters left: 5 (22 enodes) 1538422322.476 * * [misc]simplify: iters left: 4 (28 enodes) 1538422322.485 * * [misc]simplify: iters left: 3 (38 enodes) 1538422322.493 * * [misc]simplify: iters left: 2 (40 enodes) 1538422322.497 * * [misc]simplify: iters left: 1 (45 enodes) 1538422322.501 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422322.501 * [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))))))) 1538422322.502 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422322.502 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.504 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.507 * * [misc]simplify: iters left: 4 (25 enodes) 1538422322.510 * * [misc]simplify: iters left: 3 (27 enodes) 1538422322.513 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538422322.513 * [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)))))) 1538422322.513 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1538422322.513 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422322.513 * * [misc]simplify: iters left: 6 (13 enodes) 1538422322.515 * * [misc]simplify: iters left: 5 (19 enodes) 1538422322.518 * * [misc]simplify: iters left: 4 (25 enodes) 1538422322.525 * * [misc]simplify: iters left: 3 (35 enodes) 1538422322.533 * * [misc]simplify: iters left: 2 (37 enodes) 1538422322.540 * * [misc]simplify: iters left: 1 (42 enodes) 1538422322.550 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422322.550 * [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))))))) 1538422322.550 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422322.551 * * [misc]simplify: iters left: 6 (12 enodes) 1538422322.553 * * [misc]simplify: iters left: 5 (16 enodes) 1538422322.555 * * [misc]simplify: iters left: 4 (22 enodes) 1538422322.558 * * [misc]simplify: iters left: 3 (24 enodes) 1538422322.561 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422322.561 * [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))))))) 1538422322.561 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1538422322.561 * [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))))))) 1538422322.561 * * [misc]simplify: iters left: 6 (16 enodes) 1538422322.564 * * [misc]simplify: iters left: 5 (25 enodes) 1538422322.567 * * [misc]simplify: iters left: 4 (33 enodes) 1538422322.572 * * [misc]simplify: iters left: 3 (47 enodes) 1538422322.580 * * [misc]simplify: iters left: 2 (56 enodes) 1538422322.593 * * [misc]simplify: iters left: 1 (66 enodes) 1538422322.613 * [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))))) 1538422322.613 * [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)))))))) 1538422322.613 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.613 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.618 * * [misc]simplify: iters left: 5 (20 enodes) 1538422322.624 * * [misc]simplify: iters left: 4 (26 enodes) 1538422322.627 * * [misc]simplify: iters left: 3 (28 enodes) 1538422322.631 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422322.631 * [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))))))) 1538422322.631 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1538422322.631 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.631 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.633 * * [misc]simplify: iters left: 5 (22 enodes) 1538422322.636 * * [misc]simplify: iters left: 4 (28 enodes) 1538422322.642 * * [misc]simplify: iters left: 3 (38 enodes) 1538422322.647 * * [misc]simplify: iters left: 2 (40 enodes) 1538422322.651 * * [misc]simplify: iters left: 1 (45 enodes) 1538422322.656 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422322.656 * [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)))))))) 1538422322.657 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.657 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.659 * * [misc]simplify: iters left: 5 (20 enodes) 1538422322.661 * * [misc]simplify: iters left: 4 (26 enodes) 1538422322.665 * * [misc]simplify: iters left: 3 (28 enodes) 1538422322.669 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422322.669 * [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))))))) 1538422322.669 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1538422322.669 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1538422322.669 * * [misc]simplify: iters left: 6 (11 enodes) 1538422322.671 * * [misc]simplify: iters left: 5 (15 enodes) 1538422322.675 * * [misc]simplify: iters left: 4 (18 enodes) 1538422322.680 * * [misc]simplify: iters left: 3 (20 enodes) 1538422322.684 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422322.684 * [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))))))) 1538422322.685 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422322.685 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.689 * * [misc]simplify: iters left: 5 (19 enodes) 1538422322.694 * * [misc]simplify: iters left: 4 (25 enodes) 1538422322.701 * * [misc]simplify: iters left: 3 (27 enodes) 1538422322.708 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422322.708 * [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))))))) 1538422322.708 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1538422322.708 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1538422322.708 * * [misc]simplify: iters left: 6 (10 enodes) 1538422322.711 * * [misc]simplify: iters left: 5 (14 enodes) 1538422322.715 * * [misc]simplify: iters left: 4 (19 enodes) 1538422322.720 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422322.720 * [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))))))) 1538422322.720 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422322.720 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.724 * * [misc]simplify: iters left: 5 (19 enodes) 1538422322.729 * * [misc]simplify: iters left: 4 (25 enodes) 1538422322.736 * * [misc]simplify: iters left: 3 (27 enodes) 1538422322.743 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422322.743 * [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))))))) 1538422322.743 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1538422322.743 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538422322.744 * * [misc]simplify: iters left: 6 (10 enodes) 1538422322.746 * * [misc]simplify: iters left: 5 (12 enodes) 1538422322.750 * * [misc]simplify: iters left: 4 (15 enodes) 1538422322.754 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538422322.754 * [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))))))) 1538422322.755 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422322.755 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.759 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.765 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.772 * * [misc]simplify: iters left: 3 (37 enodes) 1538422322.777 * * [misc]simplify: iters left: 2 (39 enodes) 1538422322.780 * * [misc]simplify: iters left: 1 (44 enodes) 1538422322.785 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422322.785 * [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))))))) 1538422322.785 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1538422322.785 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422322.786 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.788 * * [misc]simplify: iters left: 5 (20 enodes) 1538422322.790 * * [misc]simplify: iters left: 4 (26 enodes) 1538422322.793 * * [misc]simplify: iters left: 3 (28 enodes) 1538422322.797 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1538422322.797 * [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))))) 1538422322.798 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538422322.798 * * [misc]simplify: iters left: 6 (12 enodes) 1538422322.800 * * [misc]simplify: iters left: 5 (15 enodes) 1538422322.802 * * [misc]simplify: iters left: 4 (18 enodes) 1538422322.804 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538422322.804 * [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))))) 1538422322.804 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1538422322.805 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422322.805 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.807 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.812 * * [misc]simplify: iters left: 4 (24 enodes) 1538422322.818 * [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)))))) 1538422322.818 * [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)))))))) 1538422322.818 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.819 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.822 * * [misc]simplify: iters left: 5 (17 enodes) 1538422322.827 * * [misc]simplify: iters left: 4 (20 enodes) 1538422322.832 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.832 * [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)))))))) 1538422322.832 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1538422322.832 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.832 * * [misc]simplify: iters left: 6 (13 enodes) 1538422322.834 * * [misc]simplify: iters left: 5 (18 enodes) 1538422322.836 * * [misc]simplify: iters left: 4 (21 enodes) 1538422322.839 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.839 * [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)))))))) 1538422322.839 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.839 * * [misc]simplify: iters left: 6 (14 enodes) 1538422322.841 * * [misc]simplify: iters left: 5 (17 enodes) 1538422322.844 * * [misc]simplify: iters left: 4 (20 enodes) 1538422322.846 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422322.846 * [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)))))))) 1538422322.846 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1538422322.846 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422322.846 * * [misc]simplify: iters left: 6 (12 enodes) 1538422322.848 * * [misc]simplify: iters left: 5 (20 enodes) 1538422322.851 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.854 * * [misc]simplify: iters left: 3 (37 enodes) 1538422322.861 * * [misc]simplify: iters left: 2 (64 enodes) 1538422322.874 * * [misc]simplify: iters left: 1 (93 enodes) 1538422322.906 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422322.906 * [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))))))) 1538422322.906 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422322.906 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.911 * * [misc]simplify: iters left: 5 (21 enodes) 1538422322.917 * * [misc]simplify: iters left: 4 (25 enodes) 1538422322.923 * * [misc]simplify: iters left: 3 (27 enodes) 1538422322.930 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422322.930 * [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)))))) 1538422322.930 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1538422322.931 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422322.931 * * [misc]simplify: iters left: 6 (12 enodes) 1538422322.935 * * [misc]simplify: iters left: 5 (20 enodes) 1538422322.940 * * [misc]simplify: iters left: 4 (27 enodes) 1538422322.943 * * [misc]simplify: iters left: 3 (37 enodes) 1538422322.949 * * [misc]simplify: iters left: 2 (64 enodes) 1538422322.959 * * [misc]simplify: iters left: 1 (93 enodes) 1538422322.990 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422322.990 * [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))))))) 1538422322.990 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422322.990 * * [misc]simplify: iters left: 6 (15 enodes) 1538422322.995 * * [misc]simplify: iters left: 5 (21 enodes) 1538422323.000 * * [misc]simplify: iters left: 4 (25 enodes) 1538422323.008 * * [misc]simplify: iters left: 3 (27 enodes) 1538422323.015 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422323.015 * [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)))))) 1538422323.015 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1538422323.015 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422323.016 * * [misc]simplify: iters left: 6 (13 enodes) 1538422323.019 * * [misc]simplify: iters left: 5 (21 enodes) 1538422323.024 * * [misc]simplify: iters left: 4 (31 enodes) 1538422323.029 * * [misc]simplify: iters left: 3 (51 enodes) 1538422323.038 * * [misc]simplify: iters left: 2 (90 enodes) 1538422323.051 * * [misc]simplify: iters left: 1 (181 enodes) 1538422323.128 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422323.128 * [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))))))) 1538422323.129 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422323.129 * * [misc]simplify: iters left: 6 (12 enodes) 1538422323.130 * * [misc]simplify: iters left: 5 (16 enodes) 1538422323.133 * * [misc]simplify: iters left: 4 (22 enodes) 1538422323.135 * * [misc]simplify: iters left: 3 (24 enodes) 1538422323.139 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538422323.139 * [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)))))) 1538422323.139 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1538422323.139 * [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))))))) 1538422323.139 * * [misc]simplify: iters left: 6 (16 enodes) 1538422323.142 * * [misc]simplify: iters left: 5 (29 enodes) 1538422323.146 * * [misc]simplify: iters left: 4 (50 enodes) 1538422323.153 * * [misc]simplify: iters left: 3 (70 enodes) 1538422323.175 * * [misc]simplify: iters left: 2 (169 enodes) 1538422323.250 * [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)))) 1538422323.250 * [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)))))))) 1538422323.250 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.250 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.254 * * [misc]simplify: iters left: 5 (20 enodes) 1538422323.259 * * [misc]simplify: iters left: 4 (26 enodes) 1538422323.266 * * [misc]simplify: iters left: 3 (28 enodes) 1538422323.273 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422323.273 * [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))))))) 1538422323.274 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1538422323.274 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.274 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.279 * * [misc]simplify: iters left: 5 (24 enodes) 1538422323.284 * * [misc]simplify: iters left: 4 (34 enodes) 1538422323.289 * * [misc]simplify: iters left: 3 (54 enodes) 1538422323.300 * * [misc]simplify: iters left: 2 (93 enodes) 1538422323.316 * * [misc]simplify: iters left: 1 (182 enodes) 1538422323.374 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422323.374 * [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)))))))) 1538422323.375 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.375 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.378 * * [misc]simplify: iters left: 5 (20 enodes) 1538422323.385 * * [misc]simplify: iters left: 4 (26 enodes) 1538422323.392 * * [misc]simplify: iters left: 3 (28 enodes) 1538422323.398 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422323.399 * [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))))))) 1538422323.399 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1538422323.399 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422323.399 * * [misc]simplify: iters left: 6 (7 enodes) 1538422323.401 * * [misc]simplify: iters left: 5 (13 enodes) 1538422323.406 * * [misc]simplify: iters left: 4 (22 enodes) 1538422323.411 * * [misc]simplify: iters left: 3 (24 enodes) 1538422323.416 * * [misc]simplify: iters left: 2 (29 enodes) 1538422323.422 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1538422323.422 * [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))))))) 1538422323.423 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422323.423 * * [misc]simplify: iters left: 6 (14 enodes) 1538422323.427 * * [misc]simplify: iters left: 5 (19 enodes) 1538422323.433 * * [misc]simplify: iters left: 4 (25 enodes) 1538422323.437 * * [misc]simplify: iters left: 3 (27 enodes) 1538422323.441 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422323.441 * [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)))))) 1538422323.441 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1538422323.441 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422323.441 * * [misc]simplify: iters left: 6 (11 enodes) 1538422323.443 * * [misc]simplify: iters left: 5 (17 enodes) 1538422323.445 * * [misc]simplify: iters left: 4 (20 enodes) 1538422323.447 * * [misc]simplify: iters left: 3 (22 enodes) 1538422323.451 * * [misc]simplify: iters left: 2 (34 enodes) 1538422323.455 * * [misc]simplify: iters left: 1 (42 enodes) 1538422323.460 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538422323.460 * [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))))))) 1538422323.460 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422323.460 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.462 * * [misc]simplify: iters left: 5 (21 enodes) 1538422323.465 * * [misc]simplify: iters left: 4 (25 enodes) 1538422323.469 * * [misc]simplify: iters left: 3 (27 enodes) 1538422323.472 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422323.472 * [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)))))) 1538422323.472 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1538422323.472 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422323.472 * * [misc]simplify: iters left: 6 (11 enodes) 1538422323.474 * * [misc]simplify: iters left: 5 (17 enodes) 1538422323.476 * * [misc]simplify: iters left: 4 (20 enodes) 1538422323.478 * * [misc]simplify: iters left: 3 (22 enodes) 1538422323.482 * * [misc]simplify: iters left: 2 (34 enodes) 1538422323.490 * * [misc]simplify: iters left: 1 (42 enodes) 1538422323.500 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538422323.500 * [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))))))) 1538422323.500 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422323.500 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.505 * * [misc]simplify: iters left: 5 (21 enodes) 1538422323.511 * * [misc]simplify: iters left: 4 (25 enodes) 1538422323.518 * * [misc]simplify: iters left: 3 (27 enodes) 1538422323.525 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422323.525 * [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)))))) 1538422323.525 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1538422323.525 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422323.525 * * [misc]simplify: iters left: 6 (12 enodes) 1538422323.529 * * [misc]simplify: iters left: 5 (18 enodes) 1538422323.534 * * [misc]simplify: iters left: 4 (24 enodes) 1538422323.541 * * [misc]simplify: iters left: 3 (32 enodes) 1538422323.550 * * [misc]simplify: iters left: 2 (41 enodes) 1538422323.560 * * [misc]simplify: iters left: 1 (51 enodes) 1538422323.572 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422323.572 * [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))))))) 1538422323.572 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422323.572 * * [misc]simplify: iters left: 6 (12 enodes) 1538422323.576 * * [misc]simplify: iters left: 5 (16 enodes) 1538422323.580 * * [misc]simplify: iters left: 4 (22 enodes) 1538422323.586 * * [misc]simplify: iters left: 3 (24 enodes) 1538422323.592 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538422323.592 * [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)))))) 1538422323.592 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1538422323.593 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422323.593 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.598 * * [misc]simplify: iters left: 5 (24 enodes) 1538422323.604 * * [misc]simplify: iters left: 4 (32 enodes) 1538422323.613 * * [misc]simplify: iters left: 3 (43 enodes) 1538422323.626 * * [misc]simplify: iters left: 2 (69 enodes) 1538422323.650 * * [misc]simplify: iters left: 1 (119 enodes) 1538422323.707 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.707 * [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)))))))) 1538422323.707 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.707 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.712 * * [misc]simplify: iters left: 5 (20 enodes) 1538422323.717 * * [misc]simplify: iters left: 4 (26 enodes) 1538422323.724 * * [misc]simplify: iters left: 3 (28 enodes) 1538422323.732 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422323.732 * [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))))))) 1538422323.732 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1538422323.733 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.733 * * [misc]simplify: iters left: 6 (14 enodes) 1538422323.737 * * [misc]simplify: iters left: 5 (21 enodes) 1538422323.743 * * [misc]simplify: iters left: 4 (27 enodes) 1538422323.750 * * [misc]simplify: iters left: 3 (35 enodes) 1538422323.760 * * [misc]simplify: iters left: 2 (43 enodes) 1538422323.770 * * [misc]simplify: iters left: 1 (56 enodes) 1538422323.787 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422323.787 * [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)))))))) 1538422323.788 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.788 * * [misc]simplify: iters left: 6 (15 enodes) 1538422323.793 * * [misc]simplify: iters left: 5 (20 enodes) 1538422323.799 * * [misc]simplify: iters left: 4 (26 enodes) 1538422323.805 * * [misc]simplify: iters left: 3 (28 enodes) 1538422323.813 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422323.813 * [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))))))) 1538422323.813 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1538422323.813 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1538422323.813 * * [misc]simplify: iters left: 6 (6 enodes) 1538422323.815 * * [misc]simplify: iters left: 5 (10 enodes) 1538422323.818 * * [misc]simplify: iters left: 4 (16 enodes) 1538422323.823 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538422323.823 * [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))))))) 1538422323.823 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422323.823 * * [misc]simplify: iters left: 6 (14 enodes) 1538422323.827 * * [misc]simplify: iters left: 5 (19 enodes) 1538422323.832 * * [misc]simplify: iters left: 4 (25 enodes) 1538422323.835 * * [misc]simplify: iters left: 3 (27 enodes) 1538422323.839 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422323.839 * [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)))))) 1538422323.839 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1538422323.839 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538422323.839 * * [misc]simplify: iters left: 6 (8 enodes) 1538422323.841 * * [misc]simplify: iters left: 5 (14 enodes) 1538422323.842 * * [misc]simplify: iters left: 4 (15 enodes) 1538422323.845 * * [misc]simplify: iters left: 3 (19 enodes) 1538422323.846 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538422323.847 * [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))))))) 1538422323.847 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422323.847 * * [misc]simplify: iters left: 6 (14 enodes) 1538422323.849 * * [misc]simplify: iters left: 5 (20 enodes) 1538422323.851 * * [misc]simplify: iters left: 4 (24 enodes) 1538422323.854 * * [misc]simplify: iters left: 3 (26 enodes) 1538422323.858 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538422323.858 * [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)))) 1538422323.858 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1538422323.858 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538422323.858 * * [misc]simplify: iters left: 6 (8 enodes) 1538422323.860 * * [misc]simplify: iters left: 5 (14 enodes) 1538422323.862 * * [misc]simplify: iters left: 4 (15 enodes) 1538422323.866 * * [misc]simplify: iters left: 3 (19 enodes) 1538422323.869 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538422323.870 * [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))))))) 1538422323.870 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422323.870 * * [misc]simplify: iters left: 6 (14 enodes) 1538422323.874 * * [misc]simplify: iters left: 5 (20 enodes) 1538422323.878 * * [misc]simplify: iters left: 4 (24 enodes) 1538422323.884 * * [misc]simplify: iters left: 3 (26 enodes) 1538422323.891 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538422323.891 * [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)))) 1538422323.891 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1538422323.892 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422323.892 * * [misc]simplify: iters left: 6 (10 enodes) 1538422323.895 * * [misc]simplify: iters left: 5 (16 enodes) 1538422323.897 * * [misc]simplify: iters left: 4 (20 enodes) 1538422323.900 * * [misc]simplify: iters left: 3 (24 enodes) 1538422323.903 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538422323.903 * [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))))))) 1538422323.903 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422323.904 * * [misc]simplify: iters left: 6 (11 enodes) 1538422323.905 * * [misc]simplify: iters left: 5 (15 enodes) 1538422323.907 * * [misc]simplify: iters left: 4 (21 enodes) 1538422323.910 * * [misc]simplify: iters left: 3 (23 enodes) 1538422323.913 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422323.914 * [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))))))) 1538422323.914 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1538422323.914 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422323.914 * * [misc]simplify: iters left: 6 (13 enodes) 1538422323.916 * * [misc]simplify: iters left: 5 (22 enodes) 1538422323.919 * * [misc]simplify: iters left: 4 (26 enodes) 1538422323.925 * * [misc]simplify: iters left: 3 (32 enodes) 1538422323.931 * * [misc]simplify: iters left: 2 (34 enodes) 1538422323.938 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422323.938 * [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)))))))) 1538422323.939 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.939 * * [misc]simplify: iters left: 6 (14 enodes) 1538422323.943 * * [misc]simplify: iters left: 5 (19 enodes) 1538422323.948 * * [misc]simplify: iters left: 4 (25 enodes) 1538422323.955 * * [misc]simplify: iters left: 3 (27 enodes) 1538422323.962 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422323.962 * [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))))))) 1538422323.962 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1538422323.962 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.962 * * [misc]simplify: iters left: 6 (12 enodes) 1538422323.967 * * [misc]simplify: iters left: 5 (19 enodes) 1538422323.972 * * [misc]simplify: iters left: 4 (23 enodes) 1538422323.978 * * [misc]simplify: iters left: 3 (27 enodes) 1538422323.984 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422323.984 * [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)))))))) 1538422323.984 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422323.985 * * [misc]simplify: iters left: 6 (14 enodes) 1538422323.989 * * [misc]simplify: iters left: 5 (19 enodes) 1538422323.994 * * [misc]simplify: iters left: 4 (25 enodes) 1538422324.001 * * [misc]simplify: iters left: 3 (27 enodes) 1538422324.008 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.008 * [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))))))) 1538422324.008 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1538422324.008 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1538422324.008 * * [misc]simplify: iters left: 4 (3 enodes) 1538422324.010 * * [misc]simplify: iters left: 3 (5 enodes) 1538422324.010 * [exit]simplify: Simplified to 1 1538422324.010 * [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))))))) 1538422324.011 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.011 * * [misc]simplify: iters left: 6 (13 enodes) 1538422324.016 * * [misc]simplify: iters left: 5 (18 enodes) 1538422324.018 * * [misc]simplify: iters left: 4 (24 enodes) 1538422324.021 * * [misc]simplify: iters left: 3 (26 enodes) 1538422324.025 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538422324.025 * [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)))) 1538422324.025 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1538422324.025 * [enter]simplify: Simplifying (/ 1 1) 1538422324.025 * * [misc]simplify: iters left: 2 (2 enodes) 1538422324.025 * * [misc]simplify: iters left: 1 (4 enodes) 1538422324.026 * [exit]simplify: Simplified to 1 1538422324.026 * [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))))))) 1538422324.026 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.026 * * [misc]simplify: iters left: 6 (13 enodes) 1538422324.028 * * [misc]simplify: iters left: 5 (18 enodes) 1538422324.030 * * [misc]simplify: iters left: 4 (24 enodes) 1538422324.034 * * [misc]simplify: iters left: 3 (26 enodes) 1538422324.037 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538422324.037 * [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)))) 1538422324.037 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1538422324.037 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1538422324.037 * * [misc]simplify: iters left: 3 (4 enodes) 1538422324.038 * * [misc]simplify: iters left: 2 (6 enodes) 1538422324.039 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1538422324.039 * [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))))))) 1538422324.039 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.039 * * [misc]simplify: iters left: 6 (13 enodes) 1538422324.041 * * [misc]simplify: iters left: 5 (20 enodes) 1538422324.044 * * [misc]simplify: iters left: 4 (26 enodes) 1538422324.052 * * [misc]simplify: iters left: 3 (36 enodes) 1538422324.061 * * [misc]simplify: iters left: 2 (38 enodes) 1538422324.068 * * [misc]simplify: iters left: 1 (43 enodes) 1538422324.077 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1538422324.077 * [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)))))) 1538422324.077 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1538422324.078 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1538422324.078 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.081 * * [misc]simplify: iters left: 5 (16 enodes) 1538422324.085 * * [misc]simplify: iters left: 4 (19 enodes) 1538422324.089 * * [misc]simplify: iters left: 3 (21 enodes) 1538422324.096 * * [misc]simplify: iters left: 2 (33 enodes) 1538422324.104 * * [misc]simplify: iters left: 1 (41 enodes) 1538422324.108 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1538422324.108 * [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))))) 1538422324.108 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1538422324.108 * * [misc]simplify: iters left: 6 (11 enodes) 1538422324.110 * * [misc]simplify: iters left: 5 (14 enodes) 1538422324.111 * * [misc]simplify: iters left: 4 (17 enodes) 1538422324.114 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1538422324.114 * [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))))) 1538422324.114 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1538422324.114 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1538422324.114 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1538422324.114 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1538422324.114 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.114 * * [misc]simplify: iters left: 6 (11 enodes) 1538422324.116 * * [misc]simplify: iters left: 5 (14 enodes) 1538422324.117 * * [misc]simplify: iters left: 4 (17 enodes) 1538422324.120 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.120 * [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))))))) 1538422324.121 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1538422324.121 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.121 * * [misc]simplify: iters left: 6 (11 enodes) 1538422324.122 * * [misc]simplify: iters left: 5 (14 enodes) 1538422324.125 * * [misc]simplify: iters left: 4 (17 enodes) 1538422324.130 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.130 * [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))))))) 1538422324.130 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1538422324.130 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422324.130 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.133 * * [misc]simplify: iters left: 5 (13 enodes) 1538422324.137 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422324.137 * [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))))) 1538422324.137 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1538422324.137 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422324.137 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.140 * * [misc]simplify: iters left: 5 (13 enodes) 1538422324.144 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422324.144 * [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))))) 1538422324.144 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1538422324.145 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422324.145 * * [misc]simplify: iters left: 6 (9 enodes) 1538422324.147 * * [misc]simplify: iters left: 5 (11 enodes) 1538422324.151 * * [misc]simplify: iters left: 4 (14 enodes) 1538422324.154 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422324.154 * [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)))))) 1538422324.155 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1538422324.155 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.155 * * [misc]simplify: iters left: 6 (12 enodes) 1538422324.158 * * [misc]simplify: iters left: 5 (15 enodes) 1538422324.163 * * [misc]simplify: iters left: 4 (18 enodes) 1538422324.168 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.168 * [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))))))) 1538422324.168 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1538422324.168 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.168 * * [misc]simplify: iters left: 6 (12 enodes) 1538422324.172 * * [misc]simplify: iters left: 5 (15 enodes) 1538422324.176 * * [misc]simplify: iters left: 4 (18 enodes) 1538422324.178 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.178 * [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))))))) 1538422324.178 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1538422324.178 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.178 * * [misc]simplify: iters left: 6 (11 enodes) 1538422324.180 * * [misc]simplify: iters left: 5 (14 enodes) 1538422324.182 * * [misc]simplify: iters left: 4 (17 enodes) 1538422324.184 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.184 * [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)))))) 1538422324.184 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1538422324.184 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422324.184 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.186 * * [misc]simplify: iters left: 5 (13 enodes) 1538422324.187 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422324.187 * [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))))) 1538422324.187 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1538422324.188 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422324.188 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.189 * * [misc]simplify: iters left: 5 (13 enodes) 1538422324.191 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422324.191 * [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))))) 1538422324.191 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1538422324.191 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422324.191 * * [misc]simplify: iters left: 6 (9 enodes) 1538422324.192 * * [misc]simplify: iters left: 5 (11 enodes) 1538422324.194 * * [misc]simplify: iters left: 4 (14 enodes) 1538422324.196 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422324.196 * [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)))))) 1538422324.196 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1538422324.196 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.196 * * [misc]simplify: iters left: 6 (12 enodes) 1538422324.198 * * [misc]simplify: iters left: 5 (15 enodes) 1538422324.200 * * [misc]simplify: iters left: 4 (18 enodes) 1538422324.202 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.202 * [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))))))) 1538422324.202 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1538422324.203 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.203 * * [misc]simplify: iters left: 6 (12 enodes) 1538422324.204 * * [misc]simplify: iters left: 5 (15 enodes) 1538422324.206 * * [misc]simplify: iters left: 4 (18 enodes) 1538422324.209 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.209 * [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))))))) 1538422324.209 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1538422324.209 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.209 * * [misc]simplify: iters left: 6 (11 enodes) 1538422324.211 * * [misc]simplify: iters left: 5 (14 enodes) 1538422324.213 * * [misc]simplify: iters left: 4 (17 enodes) 1538422324.215 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.215 * [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)))))) 1538422324.215 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1538422324.215 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422324.215 * * [misc]simplify: iters left: 6 (9 enodes) 1538422324.217 * * [misc]simplify: iters left: 5 (12 enodes) 1538422324.219 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422324.219 * [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))))) 1538422324.219 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1538422324.219 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422324.219 * * [misc]simplify: iters left: 6 (9 enodes) 1538422324.220 * * [misc]simplify: iters left: 5 (12 enodes) 1538422324.222 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422324.222 * [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))))) 1538422324.222 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1538422324.222 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422324.222 * * [misc]simplify: iters left: 6 (8 enodes) 1538422324.223 * * [misc]simplify: iters left: 5 (10 enodes) 1538422324.225 * * [misc]simplify: iters left: 4 (13 enodes) 1538422324.227 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422324.227 * [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)))))) 1538422324.227 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1538422324.227 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.227 * * [misc]simplify: iters left: 6 (11 enodes) 1538422324.230 * * [misc]simplify: iters left: 5 (14 enodes) 1538422324.233 * * [misc]simplify: iters left: 4 (17 enodes) 1538422324.237 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.237 * [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))))))) 1538422324.237 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1538422324.238 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.238 * * [misc]simplify: iters left: 6 (11 enodes) 1538422324.241 * * [misc]simplify: iters left: 5 (14 enodes) 1538422324.244 * * [misc]simplify: iters left: 4 (17 enodes) 1538422324.248 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.248 * [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))))))) 1538422324.248 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1538422324.249 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.249 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.251 * * [misc]simplify: iters left: 5 (13 enodes) 1538422324.254 * * [misc]simplify: iters left: 4 (16 enodes) 1538422324.258 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.258 * [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)))))) 1538422324.258 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1538422324.259 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.259 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.262 * * [misc]simplify: iters left: 5 (13 enodes) 1538422324.266 * * [misc]simplify: iters left: 4 (16 enodes) 1538422324.270 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.270 * [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)))))) 1538422324.270 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1538422324.271 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1538422324.271 * * [misc]simplify: iters left: 6 (10 enodes) 1538422324.274 * * [misc]simplify: iters left: 5 (15 enodes) 1538422324.278 * * [misc]simplify: iters left: 4 (18 enodes) 1538422324.283 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422324.283 * [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)))))) 1538422324.283 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1538422324.283 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422324.283 * * [misc]simplify: iters left: 3 (6 enodes) 1538422324.285 * * [misc]simplify: iters left: 2 (7 enodes) 1538422324.287 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422324.287 * [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)))) 1538422324.287 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1538422324.288 * [enter]simplify: Simplifying (pow PI 1/2) 1538422324.288 * * [misc]simplify: iters left: 1 (3 enodes) 1538422324.289 * [exit]simplify: Simplified to (sqrt PI) 1538422324.289 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1538422324.289 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1538422324.289 * [enter]simplify: Simplifying (pow PI 1/2) 1538422324.289 * * [misc]simplify: iters left: 1 (3 enodes) 1538422324.290 * [exit]simplify: Simplified to (sqrt PI) 1538422324.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1538422324.290 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1538422324.290 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422324.291 * * [misc]simplify: iters left: 6 (9 enodes) 1538422324.293 * * [misc]simplify: iters left: 5 (11 enodes) 1538422324.297 * * [misc]simplify: iters left: 4 (14 enodes) 1538422324.301 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422324.301 * [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))))))) 1538422324.301 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1538422324.301 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422324.302 * * [misc]simplify: iters left: 6 (8 enodes) 1538422324.304 * * [misc]simplify: iters left: 5 (10 enodes) 1538422324.307 * * [misc]simplify: iters left: 4 (13 enodes) 1538422324.310 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422324.311 * [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))))))) 1538422324.311 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1538422324.311 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1538422324.311 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538422324.311 * * [misc]simplify: iters left: 5 (8 enodes) 1538422324.314 * * [misc]simplify: iters left: 4 (11 enodes) 1538422324.317 * * [misc]simplify: iters left: 3 (14 enodes) 1538422324.321 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538422324.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.321 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1538422324.321 * [enter]simplify: Simplifying (pow PI 1/2) 1538422324.321 * * [misc]simplify: iters left: 1 (3 enodes) 1538422324.322 * [exit]simplify: Simplified to (sqrt PI) 1538422324.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1538422324.322 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1538422324.322 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1538422324.322 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1538422324.322 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1538422324.322 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538422324.323 * * [misc]simplify: iters left: 6 (12 enodes) 1538422324.327 * * [misc]simplify: iters left: 5 (21 enodes) 1538422324.334 * * [misc]simplify: iters left: 4 (44 enodes) 1538422324.354 * * [misc]simplify: iters left: 3 (133 enodes) 1538422324.426 * * [misc]simplify: iters left: 2 (379 enodes) 1538422324.628 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1538422324.628 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1538422324.628 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1538422324.628 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538422324.628 * * [misc]simplify: iters left: 6 (12 enodes) 1538422324.631 * * [misc]simplify: iters left: 5 (21 enodes) 1538422324.634 * * [misc]simplify: iters left: 4 (44 enodes) 1538422324.643 * * [misc]simplify: iters left: 3 (133 enodes) 1538422324.693 * * [misc]simplify: iters left: 2 (379 enodes) 1538422324.889 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1538422324.889 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1538422324.889 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1538422324.890 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1538422324.890 * * [misc]simplify: iters left: 6 (12 enodes) 1538422324.894 * * [misc]simplify: iters left: 5 (19 enodes) 1538422324.900 * * [misc]simplify: iters left: 4 (32 enodes) 1538422324.911 * * [misc]simplify: iters left: 3 (69 enodes) 1538422324.949 * * [misc]simplify: iters left: 2 (208 enodes) 1538422325.055 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1538422325.055 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1538422325.055 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1538422325.055 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1538422325.056 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1538422325.056 * [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))))) 1538422325.056 * * [misc]simplify: iters left: 6 (14 enodes) 1538422325.058 * * [misc]simplify: iters left: 5 (26 enodes) 1538422325.065 * * [misc]simplify: iters left: 4 (58 enodes) 1538422325.084 * * [misc]simplify: iters left: 3 (117 enodes) 1538422325.127 * * [misc]simplify: iters left: 2 (193 enodes) 1538422325.216 * * [misc]simplify: iters left: 1 (263 enodes) 1538422325.308 * [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))))) 1538422325.308 * [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)))))))) 1538422325.308 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1538422325.308 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1538422325.308 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1538422325.308 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1538422325.308 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1538422325.309 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538422325.309 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.312 * * [misc]simplify: iters left: 5 (14 enodes) 1538422325.315 * * [misc]simplify: iters left: 4 (16 enodes) 1538422325.319 * * [misc]simplify: iters left: 3 (17 enodes) 1538422325.324 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538422325.324 * [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))))))) 1538422325.324 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422325.324 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.327 * * [misc]simplify: iters left: 5 (13 enodes) 1538422325.331 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422325.331 * [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)))))) 1538422325.331 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1538422325.331 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538422325.331 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.334 * * [misc]simplify: iters left: 5 (14 enodes) 1538422325.338 * * [misc]simplify: iters left: 4 (16 enodes) 1538422325.343 * * [misc]simplify: iters left: 3 (17 enodes) 1538422325.347 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538422325.347 * [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))))))) 1538422325.348 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422325.348 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.350 * * [misc]simplify: iters left: 5 (13 enodes) 1538422325.354 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422325.354 * [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)))))) 1538422325.354 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1538422325.354 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422325.354 * * [misc]simplify: iters left: 6 (11 enodes) 1538422325.359 * * [misc]simplify: iters left: 5 (15 enodes) 1538422325.363 * * [misc]simplify: iters left: 4 (20 enodes) 1538422325.368 * * [misc]simplify: iters left: 3 (21 enodes) 1538422325.374 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422325.374 * [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))))))) 1538422325.374 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422325.374 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.377 * * [misc]simplify: iters left: 5 (11 enodes) 1538422325.380 * * [misc]simplify: iters left: 4 (14 enodes) 1538422325.384 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422325.384 * [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))))))) 1538422325.384 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1538422325.384 * [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)))))) 1538422325.385 * * [misc]simplify: iters left: 6 (14 enodes) 1538422325.389 * * [misc]simplify: iters left: 5 (23 enodes) 1538422325.396 * * [misc]simplify: iters left: 4 (35 enodes) 1538422325.405 * * [misc]simplify: iters left: 3 (38 enodes) 1538422325.415 * * [misc]simplify: iters left: 2 (41 enodes) 1538422325.425 * [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)))))) 1538422325.425 * [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)))))))) 1538422325.425 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.425 * * [misc]simplify: iters left: 6 (12 enodes) 1538422325.427 * * [misc]simplify: iters left: 5 (15 enodes) 1538422325.429 * * [misc]simplify: iters left: 4 (18 enodes) 1538422325.431 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.431 * [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)))))))) 1538422325.431 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1538422325.432 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.432 * * [misc]simplify: iters left: 6 (13 enodes) 1538422325.434 * * [misc]simplify: iters left: 5 (18 enodes) 1538422325.436 * * [misc]simplify: iters left: 4 (23 enodes) 1538422325.439 * * [misc]simplify: iters left: 3 (24 enodes) 1538422325.443 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.443 * [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)))))))) 1538422325.443 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.443 * * [misc]simplify: iters left: 6 (12 enodes) 1538422325.445 * * [misc]simplify: iters left: 5 (15 enodes) 1538422325.447 * * [misc]simplify: iters left: 4 (18 enodes) 1538422325.450 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.450 * [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)))))))) 1538422325.450 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1538422325.450 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1538422325.450 * * [misc]simplify: iters left: 6 (6 enodes) 1538422325.451 * * [misc]simplify: iters left: 5 (10 enodes) 1538422325.454 * * [misc]simplify: iters left: 4 (16 enodes) 1538422325.457 * * [misc]simplify: iters left: 3 (18 enodes) 1538422325.461 * * [misc]simplify: iters left: 2 (23 enodes) 1538422325.466 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538422325.466 * [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))))))) 1538422325.467 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.467 * * [misc]simplify: iters left: 6 (11 enodes) 1538422325.470 * * [misc]simplify: iters left: 5 (14 enodes) 1538422325.474 * * [misc]simplify: iters left: 4 (17 enodes) 1538422325.480 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.480 * [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))))))) 1538422325.480 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1538422325.480 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538422325.480 * * [misc]simplify: iters left: 5 (9 enodes) 1538422325.483 * * [misc]simplify: iters left: 4 (11 enodes) 1538422325.486 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538422325.486 * [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))))))) 1538422325.486 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422325.486 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.489 * * [misc]simplify: iters left: 5 (13 enodes) 1538422325.493 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422325.493 * [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)))))) 1538422325.493 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1538422325.493 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538422325.493 * * [misc]simplify: iters left: 5 (9 enodes) 1538422325.496 * * [misc]simplify: iters left: 4 (11 enodes) 1538422325.499 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538422325.499 * [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))))))) 1538422325.500 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422325.500 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.503 * * [misc]simplify: iters left: 5 (13 enodes) 1538422325.507 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422325.507 * [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)))))) 1538422325.507 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1538422325.507 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538422325.507 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.510 * * [misc]simplify: iters left: 5 (12 enodes) 1538422325.514 * * [misc]simplify: iters left: 4 (15 enodes) 1538422325.518 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538422325.518 * [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))))))) 1538422325.518 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422325.518 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.521 * * [misc]simplify: iters left: 5 (11 enodes) 1538422325.524 * * [misc]simplify: iters left: 4 (14 enodes) 1538422325.528 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422325.528 * [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))))))) 1538422325.528 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1538422325.528 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422325.529 * * [misc]simplify: iters left: 6 (13 enodes) 1538422325.533 * * [misc]simplify: iters left: 5 (18 enodes) 1538422325.538 * * [misc]simplify: iters left: 4 (21 enodes) 1538422325.544 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422325.544 * [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)))))))) 1538422325.544 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.544 * * [misc]simplify: iters left: 6 (12 enodes) 1538422325.548 * * [misc]simplify: iters left: 5 (15 enodes) 1538422325.552 * * [misc]simplify: iters left: 4 (18 enodes) 1538422325.557 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.557 * [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)))))))) 1538422325.558 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1538422325.558 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.558 * * [misc]simplify: iters left: 6 (12 enodes) 1538422325.561 * * [misc]simplify: iters left: 5 (15 enodes) 1538422325.566 * * [misc]simplify: iters left: 4 (18 enodes) 1538422325.571 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.571 * [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)))))))) 1538422325.571 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.571 * * [misc]simplify: iters left: 6 (12 enodes) 1538422325.574 * * [misc]simplify: iters left: 5 (15 enodes) 1538422325.577 * * [misc]simplify: iters left: 4 (18 enodes) 1538422325.579 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.579 * [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)))))))) 1538422325.579 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1538422325.579 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1538422325.579 * * [misc]simplify: iters left: 4 (5 enodes) 1538422325.580 * * [misc]simplify: iters left: 3 (7 enodes) 1538422325.582 * * [misc]simplify: iters left: 2 (9 enodes) 1538422325.582 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538422325.582 * [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))))))) 1538422325.583 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.583 * * [misc]simplify: iters left: 6 (11 enodes) 1538422325.584 * * [misc]simplify: iters left: 5 (14 enodes) 1538422325.586 * * [misc]simplify: iters left: 4 (17 enodes) 1538422325.588 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.588 * [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))))))) 1538422325.588 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1538422325.589 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538422325.589 * * [misc]simplify: iters left: 5 (7 enodes) 1538422325.590 * * [misc]simplify: iters left: 4 (11 enodes) 1538422325.591 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538422325.591 * [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))))))) 1538422325.591 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422325.591 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.593 * * [misc]simplify: iters left: 5 (12 enodes) 1538422325.594 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422325.594 * [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)))))) 1538422325.594 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1538422325.594 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538422325.594 * * [misc]simplify: iters left: 5 (7 enodes) 1538422325.596 * * [misc]simplify: iters left: 4 (11 enodes) 1538422325.599 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538422325.599 * [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))))))) 1538422325.599 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422325.599 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.602 * * [misc]simplify: iters left: 5 (12 enodes) 1538422325.606 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422325.606 * [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)))))) 1538422325.606 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1538422325.607 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1538422325.607 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.609 * * [misc]simplify: iters left: 5 (13 enodes) 1538422325.612 * * [misc]simplify: iters left: 4 (16 enodes) 1538422325.616 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1538422325.616 * [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))))))) 1538422325.616 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422325.617 * * [misc]simplify: iters left: 6 (8 enodes) 1538422325.619 * * [misc]simplify: iters left: 5 (10 enodes) 1538422325.622 * * [misc]simplify: iters left: 4 (13 enodes) 1538422325.625 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422325.625 * [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))))))) 1538422325.625 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1538422325.625 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422325.625 * * [misc]simplify: iters left: 6 (12 enodes) 1538422325.629 * * [misc]simplify: iters left: 5 (19 enodes) 1538422325.634 * * [misc]simplify: iters left: 4 (22 enodes) 1538422325.640 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422325.640 * [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)))))))) 1538422325.640 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.640 * * [misc]simplify: iters left: 6 (11 enodes) 1538422325.644 * * [misc]simplify: iters left: 5 (14 enodes) 1538422325.648 * * [misc]simplify: iters left: 4 (17 enodes) 1538422325.653 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.653 * [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)))))))) 1538422325.653 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1538422325.653 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.654 * * [misc]simplify: iters left: 6 (11 enodes) 1538422325.657 * * [misc]simplify: iters left: 5 (16 enodes) 1538422325.661 * * [misc]simplify: iters left: 4 (19 enodes) 1538422325.666 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422325.666 * [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)))))))) 1538422325.666 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.666 * * [misc]simplify: iters left: 6 (11 enodes) 1538422325.670 * * [misc]simplify: iters left: 5 (14 enodes) 1538422325.673 * * [misc]simplify: iters left: 4 (17 enodes) 1538422325.678 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422325.678 * [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)))))))) 1538422325.678 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1538422325.678 * [enter]simplify: Simplifying (/ 1 1) 1538422325.679 * * [misc]simplify: iters left: 2 (2 enodes) 1538422325.679 * * [misc]simplify: iters left: 1 (4 enodes) 1538422325.680 * [exit]simplify: Simplified to 1 1538422325.680 * [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))))))) 1538422325.680 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.680 * * [misc]simplify: iters left: 6 (10 enodes) 1538422325.683 * * [misc]simplify: iters left: 5 (13 enodes) 1538422325.687 * * [misc]simplify: iters left: 4 (16 enodes) 1538422325.691 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.691 * [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))))))) 1538422325.691 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1538422325.691 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1538422325.692 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1538422325.692 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1538422325.692 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422325.692 * * [misc]simplify: iters left: 5 (7 enodes) 1538422325.694 * * [misc]simplify: iters left: 4 (10 enodes) 1538422325.697 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422325.697 * [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)))))) 1538422325.697 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1538422325.697 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422325.697 * * [misc]simplify: iters left: 5 (7 enodes) 1538422325.699 * * [misc]simplify: iters left: 4 (10 enodes) 1538422325.702 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422325.702 * [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)))))) 1538422325.702 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1538422325.702 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1538422325.703 * * [misc]simplify: iters left: 5 (6 enodes) 1538422325.704 * * [misc]simplify: iters left: 4 (8 enodes) 1538422325.707 * * [misc]simplify: iters left: 3 (11 enodes) 1538422325.710 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1538422325.710 * [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)))))) 1538422325.710 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1538422325.711 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.711 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.713 * * [misc]simplify: iters left: 5 (12 enodes) 1538422325.716 * * [misc]simplify: iters left: 4 (15 enodes) 1538422325.720 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.721 * [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))))))) 1538422325.721 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1538422325.721 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.721 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.724 * * [misc]simplify: iters left: 5 (12 enodes) 1538422325.727 * * [misc]simplify: iters left: 4 (15 enodes) 1538422325.731 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422325.731 * [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))))))) 1538422325.731 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1538422325.731 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538422325.732 * * [misc]simplify: iters left: 5 (8 enodes) 1538422325.734 * * [misc]simplify: iters left: 4 (11 enodes) 1538422325.737 * * [misc]simplify: iters left: 3 (14 enodes) 1538422325.740 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538422325.740 * [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)))))) 1538422325.740 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1538422325.741 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538422325.741 * * [misc]simplify: iters left: 4 (4 enodes) 1538422325.742 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538422325.742 * [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)))))) 1538422325.742 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1538422325.742 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538422325.742 * * [misc]simplify: iters left: 2 (3 enodes) 1538422325.743 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538422325.743 * [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)))))) 1538422325.743 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1538422325.743 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1538422325.744 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422325.744 * * [misc]simplify: iters left: 3 (6 enodes) 1538422325.745 * * [misc]simplify: iters left: 2 (7 enodes) 1538422325.747 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422325.747 * [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))))) 1538422325.747 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1538422325.747 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1538422325.747 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1538422325.748 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1538422325.748 * * [misc]simplify: iters left: 6 (9 enodes) 1538422325.751 * * [misc]simplify: iters left: 5 (16 enodes) 1538422325.757 * * [misc]simplify: iters left: 4 (32 enodes) 1538422325.769 * * [misc]simplify: iters left: 3 (72 enodes) 1538422325.804 * * [misc]simplify: iters left: 2 (195 enodes) 1538422325.896 * * [misc]simplify: iters left: 1 (418 enodes) 1538422326.103 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1538422326.103 * [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))))))) 1538422326.103 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1538422326.103 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1538422326.104 * [enter]simplify: Simplifying (* n 2) 1538422326.104 * * [misc]simplify: iters left: 2 (3 enodes) 1538422326.105 * * [misc]simplify: iters left: 1 (4 enodes) 1538422326.106 * [exit]simplify: Simplified to (* n 2) 1538422326.106 * [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))))))) 1538422326.106 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1538422326.106 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422326.106 * * [misc]simplify: iters left: 3 (6 enodes) 1538422326.108 * * [misc]simplify: iters left: 2 (7 enodes) 1538422326.110 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422326.110 * [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)))))) 1538422326.110 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1538422326.110 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538422326.110 * * [misc]simplify: iters left: 5 (6 enodes) 1538422326.112 * * [misc]simplify: iters left: 4 (8 enodes) 1538422326.114 * * [misc]simplify: iters left: 3 (11 enodes) 1538422326.117 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538422326.117 * [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))))))) 1538422326.118 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1538422326.118 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538422326.118 * * [misc]simplify: iters left: 5 (6 enodes) 1538422326.120 * * [misc]simplify: iters left: 4 (8 enodes) 1538422326.122 * * [misc]simplify: iters left: 3 (11 enodes) 1538422326.125 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538422326.125 * [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))))))) 1538422326.125 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1538422326.125 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538422326.125 * * [misc]simplify: iters left: 4 (5 enodes) 1538422326.127 * * [misc]simplify: iters left: 3 (7 enodes) 1538422326.129 * * [misc]simplify: iters left: 2 (10 enodes) 1538422326.132 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538422326.132 * [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)))))) 1538422326.132 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1538422326.132 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422326.132 * * [misc]simplify: iters left: 5 (7 enodes) 1538422326.134 * * [misc]simplify: iters left: 4 (10 enodes) 1538422326.137 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422326.137 * [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))))))) 1538422326.137 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1538422326.138 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422326.138 * * [misc]simplify: iters left: 5 (7 enodes) 1538422326.140 * * [misc]simplify: iters left: 4 (10 enodes) 1538422326.142 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422326.142 * [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))))))) 1538422326.143 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1538422326.143 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538422326.143 * * [misc]simplify: iters left: 5 (7 enodes) 1538422326.145 * * [misc]simplify: iters left: 4 (9 enodes) 1538422326.148 * * [misc]simplify: iters left: 3 (12 enodes) 1538422326.151 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538422326.151 * [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))))))) 1538422326.151 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1538422326.151 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1538422326.151 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1538422326.151 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1538422326.152 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1538422326.152 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1538422326.152 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1538422326.152 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1538422326.152 * [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)))) 1538422326.152 * * [misc]simplify: iters left: 6 (18 enodes) 1538422326.159 * * [misc]simplify: iters left: 5 (39 enodes) 1538422326.173 * * [misc]simplify: iters left: 4 (110 enodes) 1538422326.212 * * [misc]simplify: iters left: 3 (321 enodes) 1538422326.397 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1538422326.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422326.398 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1538422326.398 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538422326.398 * * [misc]simplify: iters left: 5 (6 enodes) 1538422326.399 * * [misc]simplify: iters left: 4 (9 enodes) 1538422326.401 * * [misc]simplify: iters left: 3 (17 enodes) 1538422326.403 * * [misc]simplify: iters left: 2 (24 enodes) 1538422326.406 * * [misc]simplify: iters left: 1 (28 enodes) 1538422326.412 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538422326.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422326.412 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1538422326.412 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538422326.412 * * [misc]simplify: iters left: 5 (6 enodes) 1538422326.413 * * [misc]simplify: iters left: 4 (9 enodes) 1538422326.415 * * [misc]simplify: iters left: 3 (17 enodes) 1538422326.417 * * [misc]simplify: iters left: 2 (24 enodes) 1538422326.420 * * [misc]simplify: iters left: 1 (28 enodes) 1538422326.426 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538422326.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422326.426 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1538422326.426 * [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))))))))))))))) 1538422326.426 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422326.426 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1538422326.426 * [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)))))))) 1538422326.426 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422326.426 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1538422326.426 * [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)))))))) 1538422326.426 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422326.426 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1538422326.426 * [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)))))))))))) 1538422326.426 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538422326.426 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1538422326.427 * [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))))))))))) 1538422326.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538422326.427 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1538422326.427 * [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))))))))) 1538422326.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538422326.427 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1538422326.427 * [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))))) 1538422326.427 * * [misc]simplify: iters left: 6 (35 enodes) 1538422326.435 * * [misc]simplify: iters left: 5 (102 enodes) 1538422326.476 * * [misc]simplify: iters left: 4 (321 enodes) 1538422326.660 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1538422326.661 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1538422326.661 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1538422326.661 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538422326.661 * * [misc]simplify: iters left: 6 (13 enodes) 1538422326.667 * * [misc]simplify: iters left: 5 (27 enodes) 1538422326.675 * * [misc]simplify: iters left: 4 (53 enodes) 1538422326.694 * * [misc]simplify: iters left: 3 (124 enodes) 1538422326.749 * * [misc]simplify: iters left: 2 (394 enodes) 1538422327.207 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1538422327.207 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1538422327.207 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1538422327.208 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538422327.208 * * [misc]simplify: iters left: 6 (13 enodes) 1538422327.210 * * [misc]simplify: iters left: 5 (24 enodes) 1538422327.215 * * [misc]simplify: iters left: 4 (54 enodes) 1538422327.225 * * [misc]simplify: iters left: 3 (151 enodes) 1538422327.278 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1538422327.278 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1538422327.278 * * * [misc]progress: adding candidates to table 1538422330.723 * * [misc]progress: iteration 3 / 4 1538422330.723 * * * [misc]progress: picking best candidate 1538422330.754 * * * * [misc]pick: Picked # 1538422330.755 * * * [misc]progress: localizing error 1538422330.779 * * * [misc]progress: generating rewritten candidates 1538422330.779 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1538422330.823 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1538422330.836 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1538422330.847 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1538422330.868 * * * [misc]progress: generating series expansions 1538422330.869 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1538422330.870 * [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))) 1538422330.870 * [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 1538422330.870 * [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 1538422330.870 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422330.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.870 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422330.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.870 * [misc]taylor: Taking taylor expansion of k in n 1538422330.870 * [misc]backup-simplify: Simplify k into k 1538422330.870 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422330.870 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.870 * [misc]backup-simplify: Simplify 2 into 2 1538422330.870 * [misc]taylor: Taking taylor expansion of n in n 1538422330.870 * [misc]backup-simplify: Simplify 0 into 0 1538422330.870 * [misc]backup-simplify: Simplify 1 into 1 1538422330.870 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422330.871 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422330.871 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422330.871 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422330.871 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422330.871 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422330.872 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422330.872 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422330.872 * [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)))) 1538422330.872 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538422330.873 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538422330.873 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538422330.873 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422330.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422330.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.873 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422330.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422330.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.873 * [misc]taylor: Taking taylor expansion of k in n 1538422330.873 * [misc]backup-simplify: Simplify k into k 1538422330.873 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422330.873 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.873 * [misc]backup-simplify: Simplify PI into PI 1538422330.873 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422330.873 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422330.873 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422330.873 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422330.874 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538422330.874 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538422330.874 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538422330.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422330.874 * [misc]taylor: Taking taylor expansion of k in n 1538422330.874 * [misc]backup-simplify: Simplify k into k 1538422330.874 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422330.874 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538422330.874 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422330.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538422330.875 * [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 1538422330.875 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.875 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.875 * [misc]taylor: Taking taylor expansion of k in k 1538422330.875 * [misc]backup-simplify: Simplify 0 into 0 1538422330.875 * [misc]backup-simplify: Simplify 1 into 1 1538422330.875 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422330.875 * [misc]taylor: Taking taylor expansion of 2 in k 1538422330.875 * [misc]backup-simplify: Simplify 2 into 2 1538422330.875 * [misc]taylor: Taking taylor expansion of n in k 1538422330.875 * [misc]backup-simplify: Simplify n into n 1538422330.875 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422330.875 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422330.875 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422330.876 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.876 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422330.876 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422330.876 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422330.876 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422330.876 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422330.876 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422330.876 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422330.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.876 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422330.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.876 * [misc]taylor: Taking taylor expansion of k in k 1538422330.876 * [misc]backup-simplify: Simplify 0 into 0 1538422330.876 * [misc]backup-simplify: Simplify 1 into 1 1538422330.876 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422330.876 * [misc]taylor: Taking taylor expansion of PI in k 1538422330.876 * [misc]backup-simplify: Simplify PI into PI 1538422330.876 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422330.877 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422330.877 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.877 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422330.877 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422330.878 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422330.878 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422330.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422330.878 * [misc]taylor: Taking taylor expansion of k in k 1538422330.878 * [misc]backup-simplify: Simplify 0 into 0 1538422330.878 * [misc]backup-simplify: Simplify 1 into 1 1538422330.878 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422330.879 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.879 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422330.879 * [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 1538422330.879 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538422330.879 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422330.879 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422330.879 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422330.879 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422330.879 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.879 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422330.879 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.879 * [misc]taylor: Taking taylor expansion of k in k 1538422330.879 * [misc]backup-simplify: Simplify 0 into 0 1538422330.880 * [misc]backup-simplify: Simplify 1 into 1 1538422330.880 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422330.880 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422330.880 * [misc]taylor: Taking taylor expansion of 2 in k 1538422330.880 * [misc]backup-simplify: Simplify 2 into 2 1538422330.880 * [misc]taylor: Taking taylor expansion of n in k 1538422330.880 * [misc]backup-simplify: Simplify n into n 1538422330.880 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422330.880 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422330.880 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422330.880 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.880 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422330.880 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422330.880 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422330.880 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422330.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422330.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422330.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422330.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.881 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422330.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422330.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422330.881 * [misc]taylor: Taking taylor expansion of k in k 1538422330.881 * [misc]backup-simplify: Simplify 0 into 0 1538422330.881 * [misc]backup-simplify: Simplify 1 into 1 1538422330.881 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422330.881 * [misc]taylor: Taking taylor expansion of PI in k 1538422330.881 * [misc]backup-simplify: Simplify PI into PI 1538422330.881 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422330.881 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422330.881 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.882 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422330.882 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422330.883 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422330.883 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422330.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422330.883 * [misc]taylor: Taking taylor expansion of k in k 1538422330.883 * [misc]backup-simplify: Simplify 0 into 0 1538422330.883 * [misc]backup-simplify: Simplify 1 into 1 1538422330.883 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422330.883 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.884 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422330.884 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1538422330.884 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1538422330.884 * [misc]taylor: Taking taylor expansion of 0 in n 1538422330.884 * [misc]backup-simplify: Simplify 0 into 0 1538422330.884 * [misc]backup-simplify: Simplify 0 into 0 1538422330.887 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422330.887 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422330.887 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422330.887 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422330.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422330.892 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538422330.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538422330.893 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538422330.893 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422330.894 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422330.894 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422330.894 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538422330.894 * [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)))) 1538422330.896 * [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)))))) 1538422330.897 * [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))))) 1538422330.897 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1538422330.897 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538422330.897 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.897 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.897 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538422330.897 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.897 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.898 * [misc]backup-simplify: Simplify 2 into 2 1538422330.898 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.898 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422330.898 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422330.898 * [misc]taylor: Taking taylor expansion of n in n 1538422330.898 * [misc]backup-simplify: Simplify 0 into 0 1538422330.898 * [misc]backup-simplify: Simplify 1 into 1 1538422330.898 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.898 * [misc]backup-simplify: Simplify PI into PI 1538422330.898 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422330.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422330.899 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.900 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.900 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422330.900 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.900 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.900 * [misc]backup-simplify: Simplify 0 into 0 1538422330.900 * [misc]backup-simplify: Simplify 0 into 0 1538422330.900 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422330.902 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422330.906 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422330.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422330.906 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.908 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538422330.912 * [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))) 1538422330.912 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538422330.914 * [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 1538422330.914 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422330.914 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.914 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.915 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538422330.916 * [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))) 1538422330.919 * [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))))))) 1538422330.923 * [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))))))))) 1538422330.923 * [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 1538422330.923 * [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 1538422330.924 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538422330.924 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.924 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.924 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538422330.924 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538422330.924 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.924 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.924 * [misc]backup-simplify: Simplify 2 into 2 1538422330.924 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.924 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.924 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422330.924 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.924 * [misc]backup-simplify: Simplify PI into PI 1538422330.924 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422330.924 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422330.924 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422330.925 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.925 * [misc]backup-simplify: Simplify PI into PI 1538422330.925 * [misc]taylor: Taking taylor expansion of n in n 1538422330.925 * [misc]backup-simplify: Simplify 0 into 0 1538422330.925 * [misc]backup-simplify: Simplify 1 into 1 1538422330.925 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422330.925 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422330.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.926 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.926 * [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 1538422330.926 * [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 1538422330.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538422330.926 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.926 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.926 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538422330.926 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.926 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.926 * [misc]backup-simplify: Simplify 2 into 2 1538422330.927 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.927 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422330.927 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422330.927 * [misc]taylor: Taking taylor expansion of n in n 1538422330.927 * [misc]backup-simplify: Simplify 0 into 0 1538422330.927 * [misc]backup-simplify: Simplify 1 into 1 1538422330.927 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.927 * [misc]backup-simplify: Simplify PI into PI 1538422330.927 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422330.928 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422330.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.928 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.928 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538422330.929 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538422330.929 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.929 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.929 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538422330.929 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538422330.929 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.929 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.929 * [misc]backup-simplify: Simplify 2 into 2 1538422330.929 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.929 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.929 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422330.929 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422330.929 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.929 * [misc]backup-simplify: Simplify 2 into 2 1538422330.929 * [misc]taylor: Taking taylor expansion of n in n 1538422330.929 * [misc]backup-simplify: Simplify 0 into 0 1538422330.929 * [misc]backup-simplify: Simplify 1 into 1 1538422330.929 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422330.930 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422330.930 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422330.930 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422330.930 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422330.930 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.930 * [misc]backup-simplify: Simplify PI into PI 1538422330.930 * [misc]taylor: Taking taylor expansion of n in n 1538422330.930 * [misc]backup-simplify: Simplify 0 into 0 1538422330.930 * [misc]backup-simplify: Simplify 1 into 1 1538422330.930 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422330.931 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422330.931 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.931 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.932 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538422330.933 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538422330.933 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.933 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422330.933 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.934 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422330.934 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538422330.935 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538422330.935 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.935 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.935 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.935 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.935 * [misc]backup-simplify: Simplify 0 into 0 1538422330.937 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422330.938 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422330.940 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422330.941 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422330.941 * [misc]backup-simplify: Simplify 0 into 0 1538422330.941 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422330.942 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422330.947 * [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 1538422330.947 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422330.947 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.948 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422330.953 * [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))) 1538422330.953 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538422330.955 * [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 1538422330.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422330.955 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.956 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538422330.957 * [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))) 1538422330.960 * [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))))))))) 1538422330.966 * [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))))))))))))))) 1538422330.966 * [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 1538422330.966 * [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 1538422330.966 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538422330.966 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.966 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.966 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538422330.966 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538422330.966 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.966 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.966 * [misc]backup-simplify: Simplify 2 into 2 1538422330.966 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.966 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.966 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422330.966 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.966 * [misc]backup-simplify: Simplify PI into PI 1538422330.967 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422330.967 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422330.967 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422330.967 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.967 * [misc]backup-simplify: Simplify PI into PI 1538422330.967 * [misc]taylor: Taking taylor expansion of n in n 1538422330.967 * [misc]backup-simplify: Simplify 0 into 0 1538422330.967 * [misc]backup-simplify: Simplify 1 into 1 1538422330.967 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422330.967 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422330.967 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.968 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.968 * [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 1538422330.968 * [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 1538422330.968 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.968 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.968 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.968 * [misc]backup-simplify: Simplify 2 into 2 1538422330.968 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.968 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.968 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.968 * [misc]backup-simplify: Simplify PI into PI 1538422330.968 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422330.968 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422330.968 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.968 * [misc]backup-simplify: Simplify PI into PI 1538422330.968 * [misc]taylor: Taking taylor expansion of n in n 1538422330.968 * [misc]backup-simplify: Simplify 0 into 0 1538422330.968 * [misc]backup-simplify: Simplify 1 into 1 1538422330.969 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422330.969 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422330.969 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.969 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.969 * [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 1538422330.969 * [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 1538422330.970 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1538422330.970 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.970 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.970 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1538422330.970 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1538422330.970 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.970 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.970 * [misc]backup-simplify: Simplify 2 into 2 1538422330.970 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.970 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.970 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538422330.970 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422330.970 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422330.970 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.970 * [misc]backup-simplify: Simplify 2 into 2 1538422330.970 * [misc]taylor: Taking taylor expansion of n in n 1538422330.970 * [misc]backup-simplify: Simplify 0 into 0 1538422330.970 * [misc]backup-simplify: Simplify 1 into 1 1538422330.970 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422330.970 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422330.970 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422330.971 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422330.971 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422330.971 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422330.971 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.971 * [misc]backup-simplify: Simplify PI into PI 1538422330.971 * [misc]taylor: Taking taylor expansion of n in n 1538422330.971 * [misc]backup-simplify: Simplify 0 into 0 1538422330.971 * [misc]backup-simplify: Simplify 1 into 1 1538422330.971 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422330.971 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422330.972 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.972 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.972 * [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 1538422330.972 * [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 1538422330.972 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1538422330.972 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.972 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.972 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1538422330.972 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1538422330.972 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.972 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.972 * [misc]backup-simplify: Simplify 2 into 2 1538422330.972 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.973 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.973 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1538422330.973 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422330.973 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422330.973 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.973 * [misc]backup-simplify: Simplify 2 into 2 1538422330.973 * [misc]taylor: Taking taylor expansion of n in n 1538422330.973 * [misc]backup-simplify: Simplify 0 into 0 1538422330.973 * [misc]backup-simplify: Simplify 1 into 1 1538422330.973 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422330.973 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422330.974 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422330.974 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422330.974 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.974 * [misc]backup-simplify: Simplify PI into PI 1538422330.974 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422330.974 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422330.974 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422330.974 * [misc]taylor: Taking taylor expansion of n in n 1538422330.974 * [misc]backup-simplify: Simplify 0 into 0 1538422330.974 * [misc]backup-simplify: Simplify 1 into 1 1538422330.974 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.974 * [misc]backup-simplify: Simplify PI into PI 1538422330.974 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422330.975 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422330.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.976 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.976 * [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 1538422330.976 * [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 1538422330.976 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538422330.976 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.976 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.976 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538422330.976 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.976 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.976 * [misc]backup-simplify: Simplify 2 into 2 1538422330.976 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.976 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538422330.976 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538422330.976 * [misc]taylor: Taking taylor expansion of n in n 1538422330.976 * [misc]backup-simplify: Simplify 0 into 0 1538422330.976 * [misc]backup-simplify: Simplify 1 into 1 1538422330.976 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.976 * [misc]backup-simplify: Simplify PI into PI 1538422330.977 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538422330.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538422330.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.978 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.978 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538422330.978 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538422330.978 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422330.978 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422330.978 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538422330.978 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538422330.978 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422330.978 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.978 * [misc]backup-simplify: Simplify 2 into 2 1538422330.978 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422330.979 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422330.979 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422330.979 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422330.979 * [misc]taylor: Taking taylor expansion of 2 in n 1538422330.979 * [misc]backup-simplify: Simplify 2 into 2 1538422330.979 * [misc]taylor: Taking taylor expansion of n in n 1538422330.979 * [misc]backup-simplify: Simplify 0 into 0 1538422330.979 * [misc]backup-simplify: Simplify 1 into 1 1538422330.979 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422330.979 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422330.979 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422330.979 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538422330.979 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538422330.979 * [misc]taylor: Taking taylor expansion of PI in n 1538422330.980 * [misc]backup-simplify: Simplify PI into PI 1538422330.980 * [misc]taylor: Taking taylor expansion of n in n 1538422330.980 * [misc]backup-simplify: Simplify 0 into 0 1538422330.980 * [misc]backup-simplify: Simplify 1 into 1 1538422330.980 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538422330.980 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538422330.981 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422330.981 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538422330.982 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538422330.983 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538422330.983 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.984 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538422330.985 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1538422330.986 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1538422330.986 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.989 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422330.989 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422330.989 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538422330.990 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1538422330.990 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1538422330.990 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.991 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422330.991 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1538422330.992 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1538422330.993 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1538422330.993 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.993 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422330.993 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.994 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422330.994 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538422330.994 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538422330.994 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422330.995 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.995 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.995 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.995 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.995 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.995 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.996 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.996 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422330.996 * [misc]backup-simplify: Simplify (- 0) into 0 1538422330.996 * [misc]backup-simplify: Simplify 0 into 0 1538422330.999 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422331.000 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1538422331.001 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538422331.003 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538422331.004 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422331.005 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538422331.005 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422331.006 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422331.007 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.007 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1538422331.007 * [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)))))) 1538422331.009 * [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)))))) 1538422331.010 * [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)))))) 1538422331.012 * [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))))))) 1538422331.014 * [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))))))) 1538422331.017 * [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))))))))) 1538422331.022 * [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))))))))) 1538422331.028 * [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))))))))) 1538422331.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538422331.032 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1538422331.033 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422331.035 * [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)))) 1538422331.040 * [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)))) 1538422331.042 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538422331.043 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538422331.053 * [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))))))))))))))) 1538422331.054 * [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)) 1538422331.054 * [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 1538422331.054 * [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 1538422331.054 * [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 1538422331.054 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.054 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422331.054 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422331.054 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.055 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.055 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.055 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.055 * [misc]taylor: Taking taylor expansion of k in n 1538422331.055 * [misc]backup-simplify: Simplify k into k 1538422331.055 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.055 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.055 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.055 * [misc]backup-simplify: Simplify PI into PI 1538422331.055 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.055 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.055 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.056 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.056 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422331.056 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.056 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.056 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.056 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.056 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.056 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.057 * [misc]taylor: Taking taylor expansion of k in n 1538422331.057 * [misc]backup-simplify: Simplify k into k 1538422331.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.057 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.057 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.057 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.057 * [misc]backup-simplify: Simplify 2 into 2 1538422331.057 * [misc]taylor: Taking taylor expansion of n in n 1538422331.057 * [misc]backup-simplify: Simplify 0 into 0 1538422331.057 * [misc]backup-simplify: Simplify 1 into 1 1538422331.057 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.057 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.057 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.057 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.058 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.058 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.058 * [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))) 1538422331.059 * [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)))) 1538422331.059 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538422331.059 * [misc]taylor: Taking taylor expansion of k in n 1538422331.059 * [misc]backup-simplify: Simplify k into k 1538422331.059 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538422331.059 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538422331.059 * [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 1538422331.059 * [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 1538422331.059 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422331.059 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422331.059 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422331.059 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.059 * [misc]taylor: Taking taylor expansion of k in k 1538422331.059 * [misc]backup-simplify: Simplify 0 into 0 1538422331.059 * [misc]backup-simplify: Simplify 1 into 1 1538422331.059 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.059 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.059 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.060 * [misc]backup-simplify: Simplify PI into PI 1538422331.060 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.060 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.060 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.060 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.060 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422331.061 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.061 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.061 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.061 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of k in k 1538422331.061 * [misc]backup-simplify: Simplify 0 into 0 1538422331.061 * [misc]backup-simplify: Simplify 1 into 1 1538422331.061 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.061 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422331.061 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.061 * [misc]backup-simplify: Simplify 2 into 2 1538422331.061 * [misc]taylor: Taking taylor expansion of n in k 1538422331.061 * [misc]backup-simplify: Simplify n into n 1538422331.061 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422331.061 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422331.061 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.061 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.061 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.061 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422331.062 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.062 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of k in k 1538422331.062 * [misc]backup-simplify: Simplify 0 into 0 1538422331.062 * [misc]backup-simplify: Simplify 1 into 1 1538422331.062 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.062 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.062 * [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 1538422331.062 * [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 1538422331.062 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of k in k 1538422331.062 * [misc]backup-simplify: Simplify 0 into 0 1538422331.062 * [misc]backup-simplify: Simplify 1 into 1 1538422331.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.062 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.062 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.062 * [misc]backup-simplify: Simplify PI into PI 1538422331.063 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.063 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.063 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.063 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422331.063 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.064 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.064 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of k in k 1538422331.064 * [misc]backup-simplify: Simplify 0 into 0 1538422331.064 * [misc]backup-simplify: Simplify 1 into 1 1538422331.064 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.064 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422331.064 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.064 * [misc]backup-simplify: Simplify 2 into 2 1538422331.064 * [misc]taylor: Taking taylor expansion of n in k 1538422331.064 * [misc]backup-simplify: Simplify n into n 1538422331.064 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422331.064 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422331.064 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.064 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.064 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.064 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422331.064 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.065 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422331.065 * [misc]taylor: Taking taylor expansion of k in k 1538422331.065 * [misc]backup-simplify: Simplify 0 into 0 1538422331.065 * [misc]backup-simplify: Simplify 1 into 1 1538422331.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.065 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.065 * [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))))) 1538422331.065 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538422331.065 * [misc]taylor: Taking taylor expansion of 0 in n 1538422331.065 * [misc]backup-simplify: Simplify 0 into 0 1538422331.065 * [misc]backup-simplify: Simplify 0 into 0 1538422331.066 * [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 1538422331.066 * [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))))))) 1538422331.066 * [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 1538422331.066 * [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 1538422331.066 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.066 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.066 * [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 1538422331.066 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.066 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422331.066 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422331.066 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.066 * [misc]taylor: Taking taylor expansion of k in n 1538422331.066 * [misc]backup-simplify: Simplify k into k 1538422331.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.066 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.066 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.066 * [misc]backup-simplify: Simplify PI into PI 1538422331.066 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.066 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.066 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.067 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.067 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422331.067 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.067 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of k in n 1538422331.067 * [misc]backup-simplify: Simplify k into k 1538422331.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.067 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.067 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.067 * [misc]backup-simplify: Simplify 2 into 2 1538422331.067 * [misc]taylor: Taking taylor expansion of n in n 1538422331.067 * [misc]backup-simplify: Simplify 0 into 0 1538422331.067 * [misc]backup-simplify: Simplify 1 into 1 1538422331.067 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.068 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.068 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.068 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.068 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.068 * [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))) 1538422331.068 * [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)))) 1538422331.069 * [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))))) 1538422331.069 * [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)))))) 1538422331.069 * [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))))))) 1538422331.069 * [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))))))) 1538422331.070 * [misc]backup-simplify: Simplify 0 into 0 1538422331.070 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422331.071 * [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 1538422331.071 * [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))))))) 1538422331.071 * [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 1538422331.071 * [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 1538422331.071 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.071 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.071 * [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 1538422331.071 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.071 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422331.071 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422331.071 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.071 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.071 * [misc]taylor: Taking taylor expansion of k in n 1538422331.071 * [misc]backup-simplify: Simplify k into k 1538422331.071 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.071 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.071 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.071 * [misc]backup-simplify: Simplify PI into PI 1538422331.071 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.071 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.072 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.072 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.072 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422331.072 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.072 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of k in n 1538422331.072 * [misc]backup-simplify: Simplify k into k 1538422331.072 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.072 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.072 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.072 * [misc]backup-simplify: Simplify 2 into 2 1538422331.072 * [misc]taylor: Taking taylor expansion of n in n 1538422331.072 * [misc]backup-simplify: Simplify 0 into 0 1538422331.072 * [misc]backup-simplify: Simplify 1 into 1 1538422331.073 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.073 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.073 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.073 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.073 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.073 * [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))) 1538422331.073 * [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)))) 1538422331.074 * [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))))) 1538422331.074 * [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)))))) 1538422331.074 * [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))))))) 1538422331.075 * [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))))))) 1538422331.075 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422331.076 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422331.076 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.077 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.077 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.077 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.077 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.077 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538422331.078 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.079 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422331.080 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.080 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.080 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.080 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.080 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538422331.081 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.081 * [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 1538422331.082 * [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 1538422331.082 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.082 * [misc]backup-simplify: Simplify 0 into 0 1538422331.082 * [misc]backup-simplify: Simplify 0 into 0 1538422331.083 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422331.083 * [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 1538422331.083 * [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))))))) 1538422331.083 * [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 1538422331.083 * [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 1538422331.083 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.083 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.083 * [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 1538422331.083 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.084 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422331.084 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422331.084 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.084 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.084 * [misc]taylor: Taking taylor expansion of k in n 1538422331.084 * [misc]backup-simplify: Simplify k into k 1538422331.084 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.084 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.084 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.084 * [misc]backup-simplify: Simplify PI into PI 1538422331.084 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.084 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.084 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.084 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.084 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422331.085 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.085 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of k in n 1538422331.085 * [misc]backup-simplify: Simplify k into k 1538422331.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.085 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.085 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.085 * [misc]backup-simplify: Simplify 2 into 2 1538422331.085 * [misc]taylor: Taking taylor expansion of n in n 1538422331.085 * [misc]backup-simplify: Simplify 0 into 0 1538422331.085 * [misc]backup-simplify: Simplify 1 into 1 1538422331.085 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.085 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.085 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.085 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.085 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.086 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.086 * [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))) 1538422331.086 * [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)))) 1538422331.086 * [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))))) 1538422331.086 * [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)))))) 1538422331.087 * [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))))))) 1538422331.087 * [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))))))) 1538422331.088 * [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)))))))) 1538422331.089 * [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))) 1538422331.089 * [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 1538422331.089 * [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 1538422331.089 * [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 1538422331.089 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.089 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of k in n 1538422331.089 * [misc]backup-simplify: Simplify k into k 1538422331.089 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.089 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.089 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.089 * [misc]backup-simplify: Simplify -2 into -2 1538422331.089 * [misc]taylor: Taking taylor expansion of n in n 1538422331.089 * [misc]backup-simplify: Simplify 0 into 0 1538422331.089 * [misc]backup-simplify: Simplify 1 into 1 1538422331.089 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.090 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.090 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.090 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.090 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.090 * [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))) 1538422331.090 * [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)))) 1538422331.090 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.090 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422331.090 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422331.090 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.090 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.090 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.090 * [misc]taylor: Taking taylor expansion of k in n 1538422331.090 * [misc]backup-simplify: Simplify k into k 1538422331.090 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.091 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.091 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.091 * [misc]backup-simplify: Simplify PI into PI 1538422331.091 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.091 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.091 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.091 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422331.091 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.091 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422331.091 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422331.091 * [misc]taylor: Taking taylor expansion of -1 in n 1538422331.091 * [misc]backup-simplify: Simplify -1 into -1 1538422331.091 * [misc]taylor: Taking taylor expansion of k in n 1538422331.091 * [misc]backup-simplify: Simplify k into k 1538422331.091 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422331.092 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422331.092 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422331.092 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422331.092 * [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))) 1538422331.092 * [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))) 1538422331.092 * [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 1538422331.092 * [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 1538422331.092 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422331.092 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422331.092 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422331.092 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.092 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.092 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.092 * [misc]taylor: Taking taylor expansion of k in k 1538422331.092 * [misc]backup-simplify: Simplify 0 into 0 1538422331.092 * [misc]backup-simplify: Simplify 1 into 1 1538422331.093 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.093 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of -2 in k 1538422331.093 * [misc]backup-simplify: Simplify -2 into -2 1538422331.093 * [misc]taylor: Taking taylor expansion of n in k 1538422331.093 * [misc]backup-simplify: Simplify n into n 1538422331.093 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422331.093 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422331.093 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.093 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.093 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422331.093 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.093 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.093 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.093 * [misc]taylor: Taking taylor expansion of k in k 1538422331.093 * [misc]backup-simplify: Simplify 0 into 0 1538422331.093 * [misc]backup-simplify: Simplify 1 into 1 1538422331.093 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.094 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.094 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.094 * [misc]backup-simplify: Simplify PI into PI 1538422331.094 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.094 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.094 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.094 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.095 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.095 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422331.095 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422331.095 * [misc]taylor: Taking taylor expansion of -1 in k 1538422331.095 * [misc]backup-simplify: Simplify -1 into -1 1538422331.095 * [misc]taylor: Taking taylor expansion of k in k 1538422331.095 * [misc]backup-simplify: Simplify 0 into 0 1538422331.095 * [misc]backup-simplify: Simplify 1 into 1 1538422331.095 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422331.095 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.095 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422331.095 * [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))) 1538422331.095 * [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)))) 1538422331.096 * [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 k 1538422331.096 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.096 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of k in k 1538422331.096 * [misc]backup-simplify: Simplify 0 into 0 1538422331.096 * [misc]backup-simplify: Simplify 1 into 1 1538422331.096 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.096 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.096 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of -2 in k 1538422331.096 * [misc]backup-simplify: Simplify -2 into -2 1538422331.096 * [misc]taylor: Taking taylor expansion of n in k 1538422331.096 * [misc]backup-simplify: Simplify n into n 1538422331.096 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422331.096 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422331.096 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.096 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.096 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422331.096 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.096 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422331.096 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422331.097 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422331.097 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.097 * [misc]taylor: Taking taylor expansion of k in k 1538422331.097 * [misc]backup-simplify: Simplify 0 into 0 1538422331.097 * [misc]backup-simplify: Simplify 1 into 1 1538422331.097 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.097 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.097 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.097 * [misc]backup-simplify: Simplify PI into PI 1538422331.097 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.097 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.097 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.098 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.098 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.098 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422331.098 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422331.098 * [misc]taylor: Taking taylor expansion of -1 in k 1538422331.098 * [misc]backup-simplify: Simplify -1 into -1 1538422331.098 * [misc]taylor: Taking taylor expansion of k in k 1538422331.098 * [misc]backup-simplify: Simplify 0 into 0 1538422331.098 * [misc]backup-simplify: Simplify 1 into 1 1538422331.098 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422331.098 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.098 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422331.099 * [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))) 1538422331.099 * [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)))) 1538422331.099 * [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 1538422331.099 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.099 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.099 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of k in n 1538422331.099 * [misc]backup-simplify: Simplify k into k 1538422331.099 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.099 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.099 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.099 * [misc]backup-simplify: Simplify -2 into -2 1538422331.099 * [misc]taylor: Taking taylor expansion of n in n 1538422331.099 * [misc]backup-simplify: Simplify 0 into 0 1538422331.099 * [misc]backup-simplify: Simplify 1 into 1 1538422331.099 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.099 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.100 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.100 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.100 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.100 * [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))) 1538422331.100 * [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)))) 1538422331.100 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.100 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422331.100 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422331.100 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.100 * [misc]taylor: Taking taylor expansion of k in n 1538422331.100 * [misc]backup-simplify: Simplify k into k 1538422331.100 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.100 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.101 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.101 * [misc]backup-simplify: Simplify PI into PI 1538422331.101 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.101 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.101 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.101 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422331.101 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.101 * [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))) 1538422331.102 * [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)))) 1538422331.102 * [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)))) 1538422331.102 * [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 1538422331.102 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538422331.103 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422331.104 * [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))))) 1538422331.104 * [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 1538422331.104 * [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 1538422331.104 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.104 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.104 * [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 1538422331.104 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of k in n 1538422331.104 * [misc]backup-simplify: Simplify k into k 1538422331.104 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.104 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.104 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.104 * [misc]backup-simplify: Simplify -2 into -2 1538422331.104 * [misc]taylor: Taking taylor expansion of n in n 1538422331.104 * [misc]backup-simplify: Simplify 0 into 0 1538422331.104 * [misc]backup-simplify: Simplify 1 into 1 1538422331.104 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.104 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.104 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.104 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.105 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.105 * [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))) 1538422331.105 * [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)))) 1538422331.105 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.105 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422331.105 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422331.105 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.105 * [misc]taylor: Taking taylor expansion of k in n 1538422331.105 * [misc]backup-simplify: Simplify k into k 1538422331.105 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.105 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.105 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.105 * [misc]backup-simplify: Simplify PI into PI 1538422331.105 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.106 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.106 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.106 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422331.106 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.106 * [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))) 1538422331.107 * [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)))) 1538422331.107 * [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))))) 1538422331.108 * [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))))) 1538422331.110 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422331.110 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.110 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.110 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.111 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538422331.112 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.112 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422331.113 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422331.113 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.114 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.114 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538422331.115 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.115 * [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 1538422331.116 * [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 1538422331.116 * [misc]backup-simplify: Simplify 0 into 0 1538422331.116 * [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 1538422331.116 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.117 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422331.118 * [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))))) 1538422331.118 * [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 1538422331.118 * [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 1538422331.118 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.118 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.118 * [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 1538422331.118 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.118 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of k in n 1538422331.118 * [misc]backup-simplify: Simplify k into k 1538422331.118 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.118 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.118 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.118 * [misc]backup-simplify: Simplify -2 into -2 1538422331.118 * [misc]taylor: Taking taylor expansion of n in n 1538422331.118 * [misc]backup-simplify: Simplify 0 into 0 1538422331.118 * [misc]backup-simplify: Simplify 1 into 1 1538422331.119 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.119 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.119 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.119 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.119 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.119 * [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))) 1538422331.119 * [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)))) 1538422331.119 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.119 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422331.119 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422331.119 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.119 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.120 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.120 * [misc]taylor: Taking taylor expansion of k in n 1538422331.120 * [misc]backup-simplify: Simplify k into k 1538422331.120 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.120 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.120 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422331.120 * [misc]taylor: Taking taylor expansion of PI in n 1538422331.120 * [misc]backup-simplify: Simplify PI into PI 1538422331.120 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.120 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.120 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.120 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422331.120 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.121 * [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))) 1538422331.121 * [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)))) 1538422331.121 * [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))))) 1538422331.122 * [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))))) 1538422331.123 * [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)))))))) 1538422331.123 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1538422331.123 * [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)) 1538422331.123 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1538422331.123 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.123 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.123 * [misc]taylor: Taking taylor expansion of k in n 1538422331.123 * [misc]backup-simplify: Simplify k into k 1538422331.123 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422331.123 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.123 * [misc]backup-simplify: Simplify 2 into 2 1538422331.123 * [misc]taylor: Taking taylor expansion of n in n 1538422331.123 * [misc]backup-simplify: Simplify 0 into 0 1538422331.123 * [misc]backup-simplify: Simplify 1 into 1 1538422331.124 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422331.124 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422331.124 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.124 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422331.124 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422331.124 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422331.124 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.124 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422331.125 * [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)))) 1538422331.125 * [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))))) 1538422331.125 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538422331.125 * [misc]taylor: Taking taylor expansion of k in n 1538422331.125 * [misc]backup-simplify: Simplify k into k 1538422331.125 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538422331.125 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538422331.125 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.125 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.125 * [misc]taylor: Taking taylor expansion of k in k 1538422331.125 * [misc]backup-simplify: Simplify 0 into 0 1538422331.125 * [misc]backup-simplify: Simplify 1 into 1 1538422331.125 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422331.125 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.125 * [misc]backup-simplify: Simplify 2 into 2 1538422331.125 * [misc]taylor: Taking taylor expansion of n in k 1538422331.125 * [misc]backup-simplify: Simplify n into n 1538422331.125 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422331.125 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422331.125 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422331.125 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.126 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.126 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422331.126 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422331.126 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538422331.126 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422331.126 * [misc]taylor: Taking taylor expansion of k in k 1538422331.126 * [misc]backup-simplify: Simplify 0 into 0 1538422331.126 * [misc]backup-simplify: Simplify 1 into 1 1538422331.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.126 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.126 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538422331.126 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538422331.126 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422331.126 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422331.126 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422331.127 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422331.127 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.127 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422331.127 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.127 * [misc]taylor: Taking taylor expansion of k in k 1538422331.127 * [misc]backup-simplify: Simplify 0 into 0 1538422331.127 * [misc]backup-simplify: Simplify 1 into 1 1538422331.127 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422331.127 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422331.127 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.127 * [misc]backup-simplify: Simplify 2 into 2 1538422331.127 * [misc]taylor: Taking taylor expansion of n in k 1538422331.127 * [misc]backup-simplify: Simplify n into n 1538422331.127 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422331.127 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422331.127 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422331.127 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.127 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.127 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422331.127 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422331.127 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538422331.127 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538422331.127 * [misc]taylor: Taking taylor expansion of k in k 1538422331.127 * [misc]backup-simplify: Simplify 0 into 0 1538422331.127 * [misc]backup-simplify: Simplify 1 into 1 1538422331.127 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.128 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.128 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1538422331.128 * [misc]taylor: Taking taylor expansion of 0 in n 1538422331.128 * [misc]backup-simplify: Simplify 0 into 0 1538422331.128 * [misc]backup-simplify: Simplify 0 into 0 1538422331.128 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538422331.129 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538422331.129 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422331.129 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.129 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.129 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538422331.129 * [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)))) 1538422331.130 * [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)))) 1538422331.130 * [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)))) 1538422331.130 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538422331.130 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538422331.130 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.130 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.130 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538422331.130 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422331.130 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422331.130 * [misc]taylor: Taking taylor expansion of n in n 1538422331.130 * [misc]backup-simplify: Simplify 0 into 0 1538422331.130 * [misc]backup-simplify: Simplify 1 into 1 1538422331.131 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.131 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.131 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.131 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538422331.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.131 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538422331.131 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538422331.132 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.132 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538422331.132 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538422331.133 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.133 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.133 * [misc]backup-simplify: Simplify 0 into 0 1538422331.134 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422331.134 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538422331.135 * [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 1538422331.135 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422331.135 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.136 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538422331.137 * [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))) 1538422331.138 * [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))))) 1538422331.140 * [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)))))) 1538422331.140 * [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 1538422331.140 * [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 1538422331.140 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1538422331.140 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.140 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.140 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1538422331.140 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1538422331.140 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422331.140 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.140 * [misc]backup-simplify: Simplify 2 into 2 1538422331.140 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422331.140 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422331.140 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1538422331.140 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422331.140 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422331.140 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.140 * [misc]backup-simplify: Simplify 2 into 2 1538422331.140 * [misc]taylor: Taking taylor expansion of n in n 1538422331.140 * [misc]backup-simplify: Simplify 0 into 0 1538422331.140 * [misc]backup-simplify: Simplify 1 into 1 1538422331.141 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422331.141 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422331.141 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.141 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1538422331.141 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538422331.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.141 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538422331.141 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538422331.141 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422331.141 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422331.141 * [misc]taylor: Taking taylor expansion of n in n 1538422331.141 * [misc]backup-simplify: Simplify 0 into 0 1538422331.141 * [misc]backup-simplify: Simplify 1 into 1 1538422331.141 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.141 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.142 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.142 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538422331.142 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538422331.142 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.142 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.142 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538422331.142 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422331.142 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422331.142 * [misc]taylor: Taking taylor expansion of n in n 1538422331.142 * [misc]backup-simplify: Simplify 0 into 0 1538422331.142 * [misc]backup-simplify: Simplify 1 into 1 1538422331.142 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.142 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.142 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.142 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538422331.142 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.143 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538422331.143 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538422331.143 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.143 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1538422331.144 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1538422331.144 * [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))) 1538422331.144 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.145 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1538422331.145 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422331.146 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422331.147 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1538422331.147 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1538422331.148 * [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))))))) 1538422331.149 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1538422331.151 * [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))))))) 1538422331.151 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.151 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538422331.153 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538422331.153 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.157 * [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))))))))) 1538422331.160 * [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))))))) 1538422331.164 * [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))))))) 1538422331.166 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1538422331.166 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422331.167 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422331.168 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.169 * [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))) 1538422331.169 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.169 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538422331.173 * [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)))))))))))) 1538422331.173 * [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))) 1538422331.173 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1538422331.173 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.173 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.173 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.173 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.173 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of k in n 1538422331.173 * [misc]backup-simplify: Simplify k into k 1538422331.173 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.173 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.173 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.174 * [misc]backup-simplify: Simplify 2 into 2 1538422331.174 * [misc]taylor: Taking taylor expansion of n in n 1538422331.174 * [misc]backup-simplify: Simplify 0 into 0 1538422331.174 * [misc]backup-simplify: Simplify 1 into 1 1538422331.174 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.174 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.174 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.174 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.174 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.174 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.174 * [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))) 1538422331.175 * [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)))) 1538422331.175 * [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))))) 1538422331.175 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538422331.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.175 * [misc]taylor: Taking taylor expansion of k in n 1538422331.175 * [misc]backup-simplify: Simplify k into k 1538422331.175 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.175 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538422331.175 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.175 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538422331.175 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.175 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.175 * [misc]taylor: Taking taylor expansion of k in k 1538422331.175 * [misc]backup-simplify: Simplify 0 into 0 1538422331.175 * [misc]backup-simplify: Simplify 1 into 1 1538422331.176 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.176 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422331.176 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422331.176 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.176 * [misc]backup-simplify: Simplify 2 into 2 1538422331.176 * [misc]taylor: Taking taylor expansion of n in k 1538422331.176 * [misc]backup-simplify: Simplify n into n 1538422331.176 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422331.176 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422331.176 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.176 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.176 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.176 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422331.176 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.176 * [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))))) 1538422331.176 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422331.176 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.176 * [misc]taylor: Taking taylor expansion of k in k 1538422331.176 * [misc]backup-simplify: Simplify 0 into 0 1538422331.176 * [misc]backup-simplify: Simplify 1 into 1 1538422331.176 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.177 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.177 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.177 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.177 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.177 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of k in k 1538422331.177 * [misc]backup-simplify: Simplify 0 into 0 1538422331.177 * [misc]backup-simplify: Simplify 1 into 1 1538422331.177 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.177 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422331.177 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.177 * [misc]backup-simplify: Simplify 2 into 2 1538422331.177 * [misc]taylor: Taking taylor expansion of n in k 1538422331.177 * [misc]backup-simplify: Simplify n into n 1538422331.178 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422331.178 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422331.178 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.178 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.178 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.178 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422331.178 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.178 * [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))))) 1538422331.178 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538422331.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.178 * [misc]taylor: Taking taylor expansion of k in k 1538422331.178 * [misc]backup-simplify: Simplify 0 into 0 1538422331.178 * [misc]backup-simplify: Simplify 1 into 1 1538422331.178 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.178 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.179 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422331.179 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538422331.179 * [misc]taylor: Taking taylor expansion of 0 in n 1538422331.179 * [misc]backup-simplify: Simplify 0 into 0 1538422331.179 * [misc]backup-simplify: Simplify 0 into 0 1538422331.179 * [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 1538422331.179 * [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))))))) 1538422331.179 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538422331.179 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538422331.179 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.180 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.180 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of k in n 1538422331.180 * [misc]backup-simplify: Simplify k into k 1538422331.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.180 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.180 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.180 * [misc]backup-simplify: Simplify 2 into 2 1538422331.180 * [misc]taylor: Taking taylor expansion of n in n 1538422331.180 * [misc]backup-simplify: Simplify 0 into 0 1538422331.180 * [misc]backup-simplify: Simplify 1 into 1 1538422331.180 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.180 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.180 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.180 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.180 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.180 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.181 * [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))) 1538422331.181 * [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)))) 1538422331.181 * [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))))) 1538422331.181 * [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))))) 1538422331.182 * [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))))))) 1538422331.182 * [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))))))) 1538422331.182 * [misc]backup-simplify: Simplify 0 into 0 1538422331.182 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422331.183 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422331.183 * [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 1538422331.183 * [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))))))) 1538422331.184 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.184 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.184 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.184 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of k in n 1538422331.184 * [misc]backup-simplify: Simplify k into k 1538422331.184 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.184 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.184 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.184 * [misc]backup-simplify: Simplify 2 into 2 1538422331.184 * [misc]taylor: Taking taylor expansion of n in n 1538422331.184 * [misc]backup-simplify: Simplify 0 into 0 1538422331.184 * [misc]backup-simplify: Simplify 1 into 1 1538422331.184 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.184 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.184 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.184 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.184 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.185 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.185 * [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))) 1538422331.185 * [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)))) 1538422331.185 * [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))))) 1538422331.185 * [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))))) 1538422331.186 * [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))))))) 1538422331.186 * [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))))))) 1538422331.186 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422331.187 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422331.188 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.188 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.188 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.188 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538422331.189 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.190 * [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 1538422331.190 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538422331.190 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.190 * [misc]backup-simplify: Simplify 0 into 0 1538422331.190 * [misc]backup-simplify: Simplify 0 into 0 1538422331.190 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.191 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422331.191 * [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 1538422331.192 * [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))))))) 1538422331.192 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.192 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.192 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.192 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.192 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of k in n 1538422331.192 * [misc]backup-simplify: Simplify k into k 1538422331.192 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.192 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.192 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.192 * [misc]backup-simplify: Simplify 2 into 2 1538422331.192 * [misc]taylor: Taking taylor expansion of n in n 1538422331.192 * [misc]backup-simplify: Simplify 0 into 0 1538422331.192 * [misc]backup-simplify: Simplify 1 into 1 1538422331.192 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.192 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.192 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.192 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.192 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.193 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.193 * [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))) 1538422331.193 * [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)))) 1538422331.193 * [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))))) 1538422331.193 * [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))))) 1538422331.194 * [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))))))) 1538422331.194 * [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))))))) 1538422331.195 * [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))))))))))) 1538422331.195 * [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))) 1538422331.195 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1538422331.195 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422331.195 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422331.195 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422331.195 * [misc]taylor: Taking taylor expansion of -1 in n 1538422331.195 * [misc]backup-simplify: Simplify -1 into -1 1538422331.195 * [misc]taylor: Taking taylor expansion of k in n 1538422331.195 * [misc]backup-simplify: Simplify k into k 1538422331.195 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422331.195 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422331.196 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422331.196 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422331.196 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of k in n 1538422331.196 * [misc]backup-simplify: Simplify k into k 1538422331.196 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.196 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.196 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.196 * [misc]backup-simplify: Simplify -2 into -2 1538422331.196 * [misc]taylor: Taking taylor expansion of n in n 1538422331.196 * [misc]backup-simplify: Simplify 0 into 0 1538422331.196 * [misc]backup-simplify: Simplify 1 into 1 1538422331.196 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.197 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.197 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.197 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.197 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.197 * [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))) 1538422331.198 * [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)))) 1538422331.198 * [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))))) 1538422331.198 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538422331.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422331.198 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422331.198 * [misc]taylor: Taking taylor expansion of -1 in k 1538422331.198 * [misc]backup-simplify: Simplify -1 into -1 1538422331.198 * [misc]taylor: Taking taylor expansion of k in k 1538422331.198 * [misc]backup-simplify: Simplify 0 into 0 1538422331.198 * [misc]backup-simplify: Simplify 1 into 1 1538422331.199 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422331.199 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.199 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422331.199 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422331.199 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422331.199 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422331.199 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.199 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.200 * [misc]taylor: Taking taylor expansion of k in k 1538422331.200 * [misc]backup-simplify: Simplify 0 into 0 1538422331.200 * [misc]backup-simplify: Simplify 1 into 1 1538422331.200 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.200 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422331.200 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422331.200 * [misc]taylor: Taking taylor expansion of -2 in k 1538422331.200 * [misc]backup-simplify: Simplify -2 into -2 1538422331.200 * [misc]taylor: Taking taylor expansion of n in k 1538422331.200 * [misc]backup-simplify: Simplify n into n 1538422331.200 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422331.200 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422331.200 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.201 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.201 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422331.201 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.201 * [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))) 1538422331.201 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538422331.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422331.201 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422331.201 * [misc]taylor: Taking taylor expansion of -1 in k 1538422331.201 * [misc]backup-simplify: Simplify -1 into -1 1538422331.201 * [misc]taylor: Taking taylor expansion of k in k 1538422331.201 * [misc]backup-simplify: Simplify 0 into 0 1538422331.201 * [misc]backup-simplify: Simplify 1 into 1 1538422331.201 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422331.202 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422331.202 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422331.202 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422331.202 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422331.202 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422331.202 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.202 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.202 * [misc]taylor: Taking taylor expansion of k in k 1538422331.202 * [misc]backup-simplify: Simplify 0 into 0 1538422331.202 * [misc]backup-simplify: Simplify 1 into 1 1538422331.203 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.203 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422331.203 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422331.203 * [misc]taylor: Taking taylor expansion of -2 in k 1538422331.203 * [misc]backup-simplify: Simplify -2 into -2 1538422331.203 * [misc]taylor: Taking taylor expansion of n in k 1538422331.203 * [misc]backup-simplify: Simplify n into n 1538422331.203 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422331.203 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422331.203 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.203 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.203 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422331.204 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.204 * [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))) 1538422331.204 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422331.204 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.204 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.204 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.204 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.204 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.204 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.204 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.204 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.204 * [misc]taylor: Taking taylor expansion of k in n 1538422331.204 * [misc]backup-simplify: Simplify k into k 1538422331.204 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.204 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.204 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.205 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.205 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.205 * [misc]backup-simplify: Simplify -2 into -2 1538422331.205 * [misc]taylor: Taking taylor expansion of n in n 1538422331.205 * [misc]backup-simplify: Simplify 0 into 0 1538422331.205 * [misc]backup-simplify: Simplify 1 into 1 1538422331.205 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.205 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.205 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.205 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.206 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.206 * [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))) 1538422331.206 * [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)))) 1538422331.207 * [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))))) 1538422331.207 * [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))))) 1538422331.207 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538422331.208 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422331.209 * [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))))) 1538422331.209 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.209 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.209 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.209 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.209 * [misc]taylor: Taking taylor expansion of k in n 1538422331.209 * [misc]backup-simplify: Simplify k into k 1538422331.210 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.210 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.210 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.210 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.210 * [misc]backup-simplify: Simplify -2 into -2 1538422331.210 * [misc]taylor: Taking taylor expansion of n in n 1538422331.210 * [misc]backup-simplify: Simplify 0 into 0 1538422331.210 * [misc]backup-simplify: Simplify 1 into 1 1538422331.210 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.210 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.210 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.210 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.211 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.211 * [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))) 1538422331.211 * [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)))) 1538422331.212 * [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))))) 1538422331.212 * [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))))) 1538422331.213 * [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))))))) 1538422331.213 * [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))))))) 1538422331.213 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422331.216 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422331.216 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.217 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538422331.218 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.218 * [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 1538422331.218 * [misc]backup-simplify: Simplify 0 into 0 1538422331.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.219 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422331.220 * [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))))) 1538422331.220 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422331.220 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422331.220 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.220 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of k in n 1538422331.220 * [misc]backup-simplify: Simplify k into k 1538422331.220 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.220 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.220 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.220 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.220 * [misc]backup-simplify: Simplify -2 into -2 1538422331.220 * [misc]taylor: Taking taylor expansion of n in n 1538422331.220 * [misc]backup-simplify: Simplify 0 into 0 1538422331.220 * [misc]backup-simplify: Simplify 1 into 1 1538422331.220 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.220 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.220 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.220 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.222 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.222 * [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))) 1538422331.222 * [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)))) 1538422331.222 * [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))))) 1538422331.222 * [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))))) 1538422331.223 * [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))))))) 1538422331.223 * [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))))))) 1538422331.224 * [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))))))))) 1538422331.224 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1538422331.224 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1538422331.224 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1538422331.224 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538422331.224 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538422331.224 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538422331.224 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422331.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.224 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422331.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.224 * [misc]taylor: Taking taylor expansion of k in k 1538422331.224 * [misc]backup-simplify: Simplify 0 into 0 1538422331.224 * [misc]backup-simplify: Simplify 1 into 1 1538422331.224 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422331.224 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422331.224 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.224 * [misc]backup-simplify: Simplify 2 into 2 1538422331.224 * [misc]taylor: Taking taylor expansion of n in k 1538422331.224 * [misc]backup-simplify: Simplify n into n 1538422331.224 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422331.224 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422331.225 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422331.225 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.225 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.225 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538422331.225 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538422331.225 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422331.225 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422331.225 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422331.225 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422331.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.225 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422331.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.225 * [misc]taylor: Taking taylor expansion of k in n 1538422331.225 * [misc]backup-simplify: Simplify k into k 1538422331.225 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422331.225 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422331.225 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.225 * [misc]backup-simplify: Simplify 2 into 2 1538422331.225 * [misc]taylor: Taking taylor expansion of n in n 1538422331.225 * [misc]backup-simplify: Simplify 0 into 0 1538422331.225 * [misc]backup-simplify: Simplify 1 into 1 1538422331.225 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422331.225 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422331.225 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.226 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422331.226 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422331.226 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422331.226 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.226 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422331.226 * [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)))) 1538422331.226 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538422331.226 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538422331.226 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538422331.226 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422331.226 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.226 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422331.226 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.226 * [misc]taylor: Taking taylor expansion of k in n 1538422331.226 * [misc]backup-simplify: Simplify k into k 1538422331.226 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422331.226 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422331.226 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.226 * [misc]backup-simplify: Simplify 2 into 2 1538422331.226 * [misc]taylor: Taking taylor expansion of n in n 1538422331.226 * [misc]backup-simplify: Simplify 0 into 0 1538422331.227 * [misc]backup-simplify: Simplify 1 into 1 1538422331.227 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422331.227 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422331.227 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.227 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422331.227 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422331.227 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422331.227 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.227 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538422331.228 * [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)))) 1538422331.228 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538422331.228 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538422331.228 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538422331.228 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422331.228 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.228 * [misc]backup-simplify: Simplify 2 into 2 1538422331.228 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.228 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422331.228 * [misc]taylor: Taking taylor expansion of n in k 1538422331.228 * [misc]backup-simplify: Simplify n into n 1538422331.228 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422331.228 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422331.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.228 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422331.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.228 * [misc]taylor: Taking taylor expansion of k in k 1538422331.228 * [misc]backup-simplify: Simplify 0 into 0 1538422331.228 * [misc]backup-simplify: Simplify 1 into 1 1538422331.228 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538422331.228 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422331.228 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.229 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.229 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538422331.229 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538422331.229 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538422331.229 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422331.231 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422331.231 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538422331.231 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.231 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.231 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.232 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538422331.232 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.233 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.233 * [misc]backup-simplify: Simplify 0 into 0 1538422331.233 * [misc]backup-simplify: Simplify 0 into 0 1538422331.233 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422331.233 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.233 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.234 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422331.235 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422331.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.235 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538422331.236 * [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))))) 1538422331.236 * [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))))) 1538422331.237 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422331.239 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422331.239 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538422331.239 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.239 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.240 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422331.240 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538422331.241 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422331.241 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.241 * [misc]backup-simplify: Simplify 0 into 0 1538422331.241 * [misc]backup-simplify: Simplify 0 into 0 1538422331.241 * [misc]backup-simplify: Simplify 0 into 0 1538422331.241 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422331.242 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.245 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422331.246 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538422331.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.247 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538422331.249 * [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))))) 1538422331.250 * [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))))) 1538422331.253 * [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))))) 1538422331.254 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.254 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538422331.254 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.254 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.254 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.254 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of k in k 1538422331.254 * [misc]backup-simplify: Simplify 0 into 0 1538422331.254 * [misc]backup-simplify: Simplify 1 into 1 1538422331.254 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.254 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422331.254 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.254 * [misc]backup-simplify: Simplify 2 into 2 1538422331.254 * [misc]taylor: Taking taylor expansion of n in k 1538422331.254 * [misc]backup-simplify: Simplify n into n 1538422331.254 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422331.255 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422331.255 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.255 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.255 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.255 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422331.255 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538422331.255 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.255 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.255 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.256 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.256 * [misc]taylor: Taking taylor expansion of k in n 1538422331.256 * [misc]backup-simplify: Simplify k into k 1538422331.256 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.256 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.256 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.256 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.256 * [misc]backup-simplify: Simplify 2 into 2 1538422331.256 * [misc]taylor: Taking taylor expansion of n in n 1538422331.256 * [misc]backup-simplify: Simplify 0 into 0 1538422331.256 * [misc]backup-simplify: Simplify 1 into 1 1538422331.256 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.256 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.256 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.256 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.257 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.257 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.257 * [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))) 1538422331.258 * [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)))) 1538422331.258 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.258 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of k in n 1538422331.258 * [misc]backup-simplify: Simplify k into k 1538422331.258 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.258 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422331.258 * [misc]taylor: Taking taylor expansion of 2 in n 1538422331.258 * [misc]backup-simplify: Simplify 2 into 2 1538422331.258 * [misc]taylor: Taking taylor expansion of n in n 1538422331.258 * [misc]backup-simplify: Simplify 0 into 0 1538422331.258 * [misc]backup-simplify: Simplify 1 into 1 1538422331.259 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422331.259 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.259 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.259 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422331.259 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422331.259 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.259 * [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))) 1538422331.260 * [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)))) 1538422331.260 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.260 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.260 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of k in k 1538422331.260 * [misc]backup-simplify: Simplify 0 into 0 1538422331.260 * [misc]backup-simplify: Simplify 1 into 1 1538422331.260 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.260 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of 2 in k 1538422331.260 * [misc]backup-simplify: Simplify 2 into 2 1538422331.260 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422331.260 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422331.260 * [misc]taylor: Taking taylor expansion of n in k 1538422331.260 * [misc]backup-simplify: Simplify n into n 1538422331.260 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422331.260 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.261 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.261 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.261 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422331.261 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538422331.261 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538422331.261 * [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)))) 1538422331.261 * [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)))) 1538422331.262 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422331.263 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422331.263 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.263 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.264 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.264 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538422331.265 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.265 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.265 * [misc]backup-simplify: Simplify 0 into 0 1538422331.265 * [misc]backup-simplify: Simplify 0 into 0 1538422331.265 * [misc]backup-simplify: Simplify 0 into 0 1538422331.265 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.268 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422331.268 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422331.268 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422331.269 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.269 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.269 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.269 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538422331.271 * [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 1538422331.271 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.271 * [misc]backup-simplify: Simplify 0 into 0 1538422331.271 * [misc]backup-simplify: Simplify 0 into 0 1538422331.271 * [misc]backup-simplify: Simplify 0 into 0 1538422331.271 * [misc]backup-simplify: Simplify 0 into 0 1538422331.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.275 * [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 1538422331.275 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422331.276 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422331.276 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.276 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.276 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422331.276 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538422331.278 * [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 1538422331.278 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.278 * [misc]backup-simplify: Simplify 0 into 0 1538422331.279 * [misc]backup-simplify: Simplify 0 into 0 1538422331.279 * [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)))) 1538422331.279 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.279 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538422331.279 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.279 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of k in k 1538422331.279 * [misc]backup-simplify: Simplify 0 into 0 1538422331.279 * [misc]backup-simplify: Simplify 1 into 1 1538422331.279 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.279 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.279 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422331.279 * [misc]taylor: Taking taylor expansion of -2 in k 1538422331.279 * [misc]backup-simplify: Simplify -2 into -2 1538422331.280 * [misc]taylor: Taking taylor expansion of n in k 1538422331.280 * [misc]backup-simplify: Simplify n into n 1538422331.280 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422331.280 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422331.280 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.280 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.280 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422331.280 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538422331.280 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.280 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.280 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.280 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.280 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.281 * [misc]taylor: Taking taylor expansion of k in n 1538422331.281 * [misc]backup-simplify: Simplify k into k 1538422331.281 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.281 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.281 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.281 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.281 * [misc]backup-simplify: Simplify -2 into -2 1538422331.281 * [misc]taylor: Taking taylor expansion of n in n 1538422331.281 * [misc]backup-simplify: Simplify 0 into 0 1538422331.281 * [misc]backup-simplify: Simplify 1 into 1 1538422331.281 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.281 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.281 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.281 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.282 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.282 * [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))) 1538422331.282 * [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)))) 1538422331.282 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422331.282 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538422331.283 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538422331.283 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422331.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422331.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422331.283 * [misc]taylor: Taking taylor expansion of k in n 1538422331.283 * [misc]backup-simplify: Simplify k into k 1538422331.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422331.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422331.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.283 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422331.283 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422331.283 * [misc]taylor: Taking taylor expansion of -2 in n 1538422331.283 * [misc]backup-simplify: Simplify -2 into -2 1538422331.283 * [misc]taylor: Taking taylor expansion of n in n 1538422331.283 * [misc]backup-simplify: Simplify 0 into 0 1538422331.283 * [misc]backup-simplify: Simplify 1 into 1 1538422331.283 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422331.283 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.283 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422331.284 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422331.284 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.284 * [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))) 1538422331.285 * [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)))) 1538422331.285 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538422331.285 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538422331.285 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.285 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.285 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.285 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.285 * [misc]taylor: Taking taylor expansion of k in k 1538422331.285 * [misc]backup-simplify: Simplify 0 into 0 1538422331.285 * [misc]backup-simplify: Simplify 1 into 1 1538422331.285 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.285 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.285 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538422331.285 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538422331.285 * [misc]taylor: Taking taylor expansion of -2 in k 1538422331.285 * [misc]backup-simplify: Simplify -2 into -2 1538422331.285 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422331.286 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422331.286 * [misc]taylor: Taking taylor expansion of n in k 1538422331.286 * [misc]backup-simplify: Simplify n into n 1538422331.286 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422331.286 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.286 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.286 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422331.286 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538422331.286 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538422331.287 * [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)))) 1538422331.287 * [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)))) 1538422331.288 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422331.291 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422331.291 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422331.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422331.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.292 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.292 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538422331.293 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422331.294 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.294 * [misc]backup-simplify: Simplify 0 into 0 1538422331.294 * [misc]backup-simplify: Simplify 0 into 0 1538422331.294 * [misc]backup-simplify: Simplify 0 into 0 1538422331.294 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.299 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538422331.299 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422331.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422331.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.300 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538422331.302 * [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 1538422331.302 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.302 * [misc]backup-simplify: Simplify 0 into 0 1538422331.302 * [misc]backup-simplify: Simplify 0 into 0 1538422331.302 * [misc]backup-simplify: Simplify 0 into 0 1538422331.303 * [misc]backup-simplify: Simplify 0 into 0 1538422331.303 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.310 * [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 1538422331.310 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422331.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422331.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422331.312 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1538422331.316 * [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 1538422331.316 * [misc]taylor: Taking taylor expansion of 0 in k 1538422331.316 * [misc]backup-simplify: Simplify 0 into 0 1538422331.316 * [misc]backup-simplify: Simplify 0 into 0 1538422331.316 * [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))))) 1538422331.316 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1538422331.317 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538422331.317 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1538422331.317 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422331.317 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422331.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.317 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422331.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.317 * [misc]taylor: Taking taylor expansion of k in k 1538422331.317 * [misc]backup-simplify: Simplify 0 into 0 1538422331.317 * [misc]backup-simplify: Simplify 1 into 1 1538422331.317 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.317 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.317 * [misc]backup-simplify: Simplify PI into PI 1538422331.317 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.317 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422331.317 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422331.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.318 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422331.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.318 * [misc]taylor: Taking taylor expansion of k in k 1538422331.318 * [misc]backup-simplify: Simplify 0 into 0 1538422331.318 * [misc]backup-simplify: Simplify 1 into 1 1538422331.318 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.318 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.318 * [misc]backup-simplify: Simplify PI into PI 1538422331.318 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.319 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422331.319 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.319 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.319 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.320 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.322 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422331.322 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422331.323 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.323 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.324 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422331.324 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422331.329 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422331.329 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422331.329 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538422331.331 * [misc]backup-simplify: Simplify 0 into 0 1538422331.338 * [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 1538422331.338 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422331.338 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422331.341 * [misc]backup-simplify: Simplify 0 into 0 1538422331.353 * [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 1538422331.353 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538422331.354 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.356 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538422331.356 * [misc]backup-simplify: Simplify 0 into 0 1538422331.375 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538422331.375 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538422331.376 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.376 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538422331.379 * [misc]backup-simplify: Simplify 0 into 0 1538422331.405 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538422331.406 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1538422331.406 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.406 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.410 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538422331.410 * [misc]backup-simplify: Simplify 0 into 0 1538422331.443 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538422331.443 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1538422331.443 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.446 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538422331.446 * [misc]backup-simplify: Simplify 0 into 0 1538422331.447 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422331.447 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422331.447 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1538422331.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422331.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.447 * [misc]taylor: Taking taylor expansion of k in k 1538422331.447 * [misc]backup-simplify: Simplify 0 into 0 1538422331.447 * [misc]backup-simplify: Simplify 1 into 1 1538422331.447 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.448 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.448 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.448 * [misc]backup-simplify: Simplify PI into PI 1538422331.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.448 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422331.448 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422331.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.448 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.448 * [misc]taylor: Taking taylor expansion of k in k 1538422331.448 * [misc]backup-simplify: Simplify 0 into 0 1538422331.448 * [misc]backup-simplify: Simplify 1 into 1 1538422331.448 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.448 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.448 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.448 * [misc]backup-simplify: Simplify PI into PI 1538422331.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.448 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.448 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422331.449 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422331.449 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422331.449 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422331.451 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422331.451 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422331.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538422331.451 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.451 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.452 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538422331.452 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.454 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422331.455 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.455 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538422331.455 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.455 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.456 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538422331.456 * [misc]backup-simplify: Simplify 0 into 0 1538422331.460 * [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 1538422331.460 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.460 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538422331.461 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.461 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.462 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422331.462 * [misc]backup-simplify: Simplify 0 into 0 1538422331.468 * [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 1538422331.469 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.469 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538422331.469 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.471 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538422331.471 * [misc]backup-simplify: Simplify 0 into 0 1538422331.482 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538422331.482 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.482 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538422331.482 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.484 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538422331.484 * [misc]backup-simplify: Simplify 0 into 0 1538422331.500 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538422331.501 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.501 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538422331.501 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.501 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.503 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538422331.503 * [misc]backup-simplify: Simplify 0 into 0 1538422331.527 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538422331.527 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538422331.528 * [misc]backup-simplify: Simplify (- 0) into 0 1538422331.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.530 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538422331.530 * [misc]backup-simplify: Simplify 0 into 0 1538422331.531 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422331.531 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422331.531 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1538422331.531 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422331.531 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.531 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.532 * [misc]taylor: Taking taylor expansion of k in k 1538422331.532 * [misc]backup-simplify: Simplify 0 into 0 1538422331.532 * [misc]backup-simplify: Simplify 1 into 1 1538422331.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.532 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.532 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.532 * [misc]backup-simplify: Simplify PI into PI 1538422331.532 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.532 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422331.532 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422331.532 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422331.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422331.532 * [misc]taylor: Taking taylor expansion of k in k 1538422331.532 * [misc]backup-simplify: Simplify 0 into 0 1538422331.532 * [misc]backup-simplify: Simplify 1 into 1 1538422331.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422331.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422331.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422331.532 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422331.532 * [misc]taylor: Taking taylor expansion of PI in k 1538422331.532 * [misc]backup-simplify: Simplify PI into PI 1538422331.532 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422331.533 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422331.533 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422331.533 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.533 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.535 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422331.535 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422331.535 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538422331.535 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1538422331.536 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538422331.536 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422331.538 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422331.539 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.539 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538422331.539 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538422331.540 * [misc]backup-simplify: Simplify 0 into 0 1538422331.544 * [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 1538422331.544 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.544 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538422331.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.545 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422331.545 * [misc]backup-simplify: Simplify 0 into 0 1538422331.552 * [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 1538422331.552 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538422331.553 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538422331.554 * [misc]backup-simplify: Simplify 0 into 0 1538422331.565 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538422331.565 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538422331.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.567 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538422331.567 * [misc]backup-simplify: Simplify 0 into 0 1538422331.584 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538422331.584 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.585 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538422331.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.587 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538422331.587 * [misc]backup-simplify: Simplify 0 into 0 1538422331.610 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538422331.611 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422331.611 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538422331.611 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422331.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538422331.614 * [misc]backup-simplify: Simplify 0 into 0 1538422331.615 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422331.615 * * * [misc]progress: simplifying candidates 1538422331.615 * * * * [misc]progress: [ 1 / 310 ] simplifiying candidate # 1538422331.615 * * * * [misc]progress: [ 2 / 310 ] simplifiying candidate # 1538422331.615 * * * * [misc]progress: [ 3 / 310 ] simplifiying candidate # 1538422331.615 * * * * [misc]progress: [ 4 / 310 ] simplifiying candidate # 1538422331.615 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538422331.615 * * [misc]simplify: iters left: 6 (16 enodes) 1538422331.618 * * [misc]simplify: iters left: 5 (31 enodes) 1538422331.623 * * [misc]simplify: iters left: 4 (70 enodes) 1538422331.649 * * [misc]simplify: iters left: 3 (225 enodes) 1538422331.781 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1538422331.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1538422331.781 * * * * [misc]progress: [ 5 / 310 ] simplifiying candidate # 1538422331.781 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538422331.781 * * [misc]simplify: iters left: 6 (16 enodes) 1538422331.784 * * [misc]simplify: iters left: 5 (31 enodes) 1538422331.789 * * [misc]simplify: iters left: 4 (70 enodes) 1538422331.805 * * [misc]simplify: iters left: 3 (225 enodes) 1538422331.914 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1538422331.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1538422331.914 * * * * [misc]progress: [ 6 / 310 ] simplifiying candidate # 1538422331.914 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422331.914 * * [misc]simplify: iters left: 6 (16 enodes) 1538422331.916 * * [misc]simplify: iters left: 5 (29 enodes) 1538422331.921 * * [misc]simplify: iters left: 4 (58 enodes) 1538422331.932 * * [misc]simplify: iters left: 3 (142 enodes) 1538422332.012 * * [misc]simplify: iters left: 2 (491 enodes) 1538422332.304 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1538422332.304 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1538422332.304 * * * * [misc]progress: [ 7 / 310 ] simplifiying candidate # 1538422332.304 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422332.304 * * [misc]simplify: iters left: 6 (15 enodes) 1538422332.306 * * [misc]simplify: iters left: 5 (25 enodes) 1538422332.312 * * [misc]simplify: iters left: 4 (42 enodes) 1538422332.323 * * [misc]simplify: iters left: 3 (87 enodes) 1538422332.341 * * [misc]simplify: iters left: 2 (190 enodes) 1538422332.453 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1538422332.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1538422332.453 * * * * [misc]progress: [ 8 / 310 ] simplifiying candidate # 1538422332.453 * * * * [misc]progress: [ 9 / 310 ] simplifiying candidate # 1538422332.453 * * * * [misc]progress: [ 10 / 310 ] simplifiying candidate # 1538422332.453 * [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)))))) 1538422332.453 * * [misc]simplify: iters left: 6 (21 enodes) 1538422332.457 * * [misc]simplify: iters left: 5 (44 enodes) 1538422332.470 * * [misc]simplify: iters left: 4 (136 enodes) 1538422332.521 * [exit]simplify: Simplified to (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422332.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538422332.521 * * * * [misc]progress: [ 11 / 310 ] simplifiying candidate # 1538422332.522 * [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)))))) 1538422332.522 * * [misc]simplify: iters left: 6 (19 enodes) 1538422332.526 * * [misc]simplify: iters left: 5 (43 enodes) 1538422332.541 * * [misc]simplify: iters left: 4 (116 enodes) 1538422332.569 * * [misc]simplify: iters left: 3 (342 enodes) 1538422332.825 * [exit]simplify: Simplified to (pow (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) 3) 1538422332.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) 3))) 1538422332.825 * * * * [misc]progress: [ 12 / 310 ] simplifiying candidate # 1538422332.825 * * * * [misc]progress: [ 13 / 310 ] simplifiying candidate # 1538422332.825 * * * * [misc]progress: [ 14 / 310 ] simplifiying candidate # 1538422332.825 * * * * [misc]progress: [ 15 / 310 ] simplifiying candidate # 1538422332.825 * * * * [misc]progress: [ 16 / 310 ] simplifiying candidate # 1538422332.825 * [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))))))) 1538422332.825 * * [misc]simplify: iters left: 6 (17 enodes) 1538422332.828 * * [misc]simplify: iters left: 5 (26 enodes) 1538422332.835 * * [misc]simplify: iters left: 4 (31 enodes) 1538422332.839 * * [misc]simplify: iters left: 3 (33 enodes) 1538422332.843 * [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)))))) 1538422332.843 * [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)))))))) 1538422332.843 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422332.843 * * [misc]simplify: iters left: 6 (17 enodes) 1538422332.846 * * [misc]simplify: iters left: 5 (27 enodes) 1538422332.850 * * [misc]simplify: iters left: 4 (41 enodes) 1538422332.860 * * [misc]simplify: iters left: 3 (71 enodes) 1538422332.878 * * [misc]simplify: iters left: 2 (93 enodes) 1538422332.900 * * [misc]simplify: iters left: 1 (101 enodes) 1538422332.922 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422332.923 * [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)))))))) 1538422332.923 * * * * [misc]progress: [ 17 / 310 ] simplifiying candidate # 1538422332.923 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422332.923 * * [misc]simplify: iters left: 6 (16 enodes) 1538422332.928 * * [misc]simplify: iters left: 5 (23 enodes) 1538422332.934 * * [misc]simplify: iters left: 4 (28 enodes) 1538422332.941 * * [misc]simplify: iters left: 3 (30 enodes) 1538422332.949 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422332.949 * [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)))))))) 1538422332.949 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422332.949 * * [misc]simplify: iters left: 6 (17 enodes) 1538422332.954 * * [misc]simplify: iters left: 5 (27 enodes) 1538422332.962 * * [misc]simplify: iters left: 4 (41 enodes) 1538422332.967 * * [misc]simplify: iters left: 3 (71 enodes) 1538422332.975 * * [misc]simplify: iters left: 2 (93 enodes) 1538422332.985 * * [misc]simplify: iters left: 1 (101 enodes) 1538422333.005 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422333.005 * [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)))))))) 1538422333.005 * * * * [misc]progress: [ 18 / 310 ] simplifiying candidate # 1538422333.006 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422333.006 * * [misc]simplify: iters left: 6 (15 enodes) 1538422333.010 * * [misc]simplify: iters left: 5 (25 enodes) 1538422333.017 * * [misc]simplify: iters left: 4 (34 enodes) 1538422333.026 * * [misc]simplify: iters left: 3 (48 enodes) 1538422333.038 * * [misc]simplify: iters left: 2 (53 enodes) 1538422333.051 * * [misc]simplify: iters left: 1 (60 enodes) 1538422333.066 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422333.066 * [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))))))) 1538422333.067 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422333.067 * * [misc]simplify: iters left: 6 (15 enodes) 1538422333.071 * * [misc]simplify: iters left: 5 (26 enodes) 1538422333.081 * * [misc]simplify: iters left: 4 (42 enodes) 1538422333.093 * * [misc]simplify: iters left: 3 (78 enodes) 1538422333.104 * * [misc]simplify: iters left: 2 (126 enodes) 1538422333.121 * * [misc]simplify: iters left: 1 (179 enodes) 1538422333.170 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422333.170 * [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)))))) 1538422333.170 * * * * [misc]progress: [ 19 / 310 ] simplifiying candidate # 1538422333.170 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422333.170 * * [misc]simplify: iters left: 6 (15 enodes) 1538422333.175 * * [misc]simplify: iters left: 5 (25 enodes) 1538422333.181 * * [misc]simplify: iters left: 4 (34 enodes) 1538422333.193 * * [misc]simplify: iters left: 3 (48 enodes) 1538422333.206 * * [misc]simplify: iters left: 2 (53 enodes) 1538422333.219 * * [misc]simplify: iters left: 1 (60 enodes) 1538422333.234 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422333.234 * [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))))))) 1538422333.234 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422333.235 * * [misc]simplify: iters left: 6 (15 enodes) 1538422333.239 * * [misc]simplify: iters left: 5 (26 enodes) 1538422333.247 * * [misc]simplify: iters left: 4 (42 enodes) 1538422333.259 * * [misc]simplify: iters left: 3 (78 enodes) 1538422333.277 * * [misc]simplify: iters left: 2 (126 enodes) 1538422333.295 * * [misc]simplify: iters left: 1 (179 enodes) 1538422333.329 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422333.329 * [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)))))) 1538422333.329 * * * * [misc]progress: [ 20 / 310 ] simplifiying candidate # 1538422333.329 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422333.329 * * [misc]simplify: iters left: 6 (16 enodes) 1538422333.332 * * [misc]simplify: iters left: 5 (26 enodes) 1538422333.335 * * [misc]simplify: iters left: 4 (38 enodes) 1538422333.341 * * [misc]simplify: iters left: 3 (52 enodes) 1538422333.348 * * [misc]simplify: iters left: 2 (57 enodes) 1538422333.361 * * [misc]simplify: iters left: 1 (64 enodes) 1538422333.377 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422333.377 * [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))))))) 1538422333.377 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422333.377 * * [misc]simplify: iters left: 6 (15 enodes) 1538422333.382 * * [misc]simplify: iters left: 5 (26 enodes) 1538422333.389 * * [misc]simplify: iters left: 4 (43 enodes) 1538422333.401 * * [misc]simplify: iters left: 3 (79 enodes) 1538422333.422 * * [misc]simplify: iters left: 2 (127 enodes) 1538422333.442 * * [misc]simplify: iters left: 1 (180 enodes) 1538422333.475 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422333.475 * [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)))))) 1538422333.475 * * * * [misc]progress: [ 21 / 310 ] simplifiying candidate # 1538422333.475 * [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))))))) 1538422333.475 * * [misc]simplify: iters left: 6 (19 enodes) 1538422333.478 * * [misc]simplify: iters left: 5 (34 enodes) 1538422333.483 * * [misc]simplify: iters left: 4 (57 enodes) 1538422333.491 * * [misc]simplify: iters left: 3 (84 enodes) 1538422333.506 * * [misc]simplify: iters left: 2 (118 enodes) 1538422333.530 * * [misc]simplify: iters left: 1 (141 enodes) 1538422333.575 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422333.575 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538422333.576 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422333.576 * * [misc]simplify: iters left: 6 (18 enodes) 1538422333.582 * * [misc]simplify: iters left: 5 (30 enodes) 1538422333.590 * * [misc]simplify: iters left: 4 (47 enodes) 1538422333.603 * * [misc]simplify: iters left: 3 (83 enodes) 1538422333.626 * * [misc]simplify: iters left: 2 (131 enodes) 1538422333.650 * * [misc]simplify: iters left: 1 (184 enodes) 1538422333.686 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422333.686 * [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)))))) 1538422333.687 * * * * [misc]progress: [ 22 / 310 ] simplifiying candidate # 1538422333.687 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422333.687 * * [misc]simplify: iters left: 6 (18 enodes) 1538422333.693 * * [misc]simplify: iters left: 5 (29 enodes) 1538422333.701 * * [misc]simplify: iters left: 4 (41 enodes) 1538422333.712 * * [misc]simplify: iters left: 3 (55 enodes) 1538422333.726 * * [misc]simplify: iters left: 2 (60 enodes) 1538422333.743 * * [misc]simplify: iters left: 1 (67 enodes) 1538422333.760 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422333.760 * [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)))))))) 1538422333.760 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422333.760 * * [misc]simplify: iters left: 6 (18 enodes) 1538422333.766 * * [misc]simplify: iters left: 5 (30 enodes) 1538422333.775 * * [misc]simplify: iters left: 4 (47 enodes) 1538422333.784 * * [misc]simplify: iters left: 3 (83 enodes) 1538422333.795 * * [misc]simplify: iters left: 2 (131 enodes) 1538422333.825 * * [misc]simplify: iters left: 1 (184 enodes) 1538422333.872 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422333.872 * [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)))))) 1538422333.872 * * * * [misc]progress: [ 23 / 310 ] simplifiying candidate # 1538422333.872 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422333.872 * * [misc]simplify: iters left: 6 (12 enodes) 1538422333.874 * * [misc]simplify: iters left: 5 (22 enodes) 1538422333.878 * * [misc]simplify: iters left: 4 (35 enodes) 1538422333.883 * * [misc]simplify: iters left: 3 (57 enodes) 1538422333.891 * * [misc]simplify: iters left: 2 (124 enodes) 1538422333.951 * * [misc]simplify: iters left: 1 (186 enodes) 1538422333.983 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538422333.983 * [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))))))) 1538422333.984 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422333.984 * * [misc]simplify: iters left: 6 (17 enodes) 1538422333.989 * * [misc]simplify: iters left: 5 (29 enodes) 1538422333.998 * * [misc]simplify: iters left: 4 (46 enodes) 1538422334.005 * * [misc]simplify: iters left: 3 (82 enodes) 1538422334.015 * * [misc]simplify: iters left: 2 (130 enodes) 1538422334.032 * * [misc]simplify: iters left: 1 (183 enodes) 1538422334.060 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422334.060 * [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)))))) 1538422334.060 * * * * [misc]progress: [ 24 / 310 ] simplifiying candidate # 1538422334.060 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422334.060 * * [misc]simplify: iters left: 6 (14 enodes) 1538422334.062 * * [misc]simplify: iters left: 5 (22 enodes) 1538422334.065 * * [misc]simplify: iters left: 4 (27 enodes) 1538422334.068 * * [misc]simplify: iters left: 3 (31 enodes) 1538422334.072 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422334.072 * [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))))))) 1538422334.072 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422334.072 * * [misc]simplify: iters left: 6 (15 enodes) 1538422334.075 * * [misc]simplify: iters left: 5 (26 enodes) 1538422334.078 * * [misc]simplify: iters left: 4 (42 enodes) 1538422334.084 * * [misc]simplify: iters left: 3 (78 enodes) 1538422334.094 * * [misc]simplify: iters left: 2 (126 enodes) 1538422334.111 * * [misc]simplify: iters left: 1 (179 enodes) 1538422334.138 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422334.138 * [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)))))) 1538422334.138 * * * * [misc]progress: [ 25 / 310 ] simplifiying candidate # 1538422334.138 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422334.138 * * [misc]simplify: iters left: 6 (14 enodes) 1538422334.141 * * [misc]simplify: iters left: 5 (22 enodes) 1538422334.143 * * [misc]simplify: iters left: 4 (27 enodes) 1538422334.147 * * [misc]simplify: iters left: 3 (31 enodes) 1538422334.151 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422334.151 * [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))))))) 1538422334.151 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422334.151 * * [misc]simplify: iters left: 6 (15 enodes) 1538422334.153 * * [misc]simplify: iters left: 5 (26 enodes) 1538422334.157 * * [misc]simplify: iters left: 4 (42 enodes) 1538422334.163 * * [misc]simplify: iters left: 3 (78 enodes) 1538422334.172 * * [misc]simplify: iters left: 2 (126 enodes) 1538422334.189 * * [misc]simplify: iters left: 1 (179 enodes) 1538422334.234 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422334.234 * [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)))))) 1538422334.234 * * * * [misc]progress: [ 26 / 310 ] simplifiying candidate # 1538422334.234 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422334.234 * * [misc]simplify: iters left: 6 (15 enodes) 1538422334.239 * * [misc]simplify: iters left: 5 (23 enodes) 1538422334.245 * * [misc]simplify: iters left: 4 (31 enodes) 1538422334.250 * * [misc]simplify: iters left: 3 (35 enodes) 1538422334.254 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422334.254 * [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))))))) 1538422334.255 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422334.255 * * [misc]simplify: iters left: 6 (15 enodes) 1538422334.257 * * [misc]simplify: iters left: 5 (26 enodes) 1538422334.260 * * [misc]simplify: iters left: 4 (43 enodes) 1538422334.266 * * [misc]simplify: iters left: 3 (79 enodes) 1538422334.285 * * [misc]simplify: iters left: 2 (127 enodes) 1538422334.322 * * [misc]simplify: iters left: 1 (180 enodes) 1538422334.373 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422334.373 * [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)))))) 1538422334.373 * * * * [misc]progress: [ 27 / 310 ] simplifiying candidate # 1538422334.373 * [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))))))) 1538422334.373 * * [misc]simplify: iters left: 6 (18 enodes) 1538422334.379 * * [misc]simplify: iters left: 5 (29 enodes) 1538422334.387 * * [misc]simplify: iters left: 4 (39 enodes) 1538422334.398 * * [misc]simplify: iters left: 3 (50 enodes) 1538422334.411 * * [misc]simplify: iters left: 2 (58 enodes) 1538422334.424 * * [misc]simplify: iters left: 1 (60 enodes) 1538422334.432 * [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)))))) 1538422334.432 * [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)))))))) 1538422334.432 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422334.432 * * [misc]simplify: iters left: 6 (18 enodes) 1538422334.434 * * [misc]simplify: iters left: 5 (30 enodes) 1538422334.440 * * [misc]simplify: iters left: 4 (47 enodes) 1538422334.447 * * [misc]simplify: iters left: 3 (83 enodes) 1538422334.459 * * [misc]simplify: iters left: 2 (131 enodes) 1538422334.493 * * [misc]simplify: iters left: 1 (184 enodes) 1538422334.543 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422334.543 * [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)))))) 1538422334.543 * * * * [misc]progress: [ 28 / 310 ] simplifiying candidate # 1538422334.543 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422334.543 * * [misc]simplify: iters left: 6 (17 enodes) 1538422334.546 * * [misc]simplify: iters left: 5 (26 enodes) 1538422334.549 * * [misc]simplify: iters left: 4 (34 enodes) 1538422334.555 * * [misc]simplify: iters left: 3 (38 enodes) 1538422334.560 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422334.560 * [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)))))))) 1538422334.560 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422334.560 * * [misc]simplify: iters left: 6 (18 enodes) 1538422334.563 * * [misc]simplify: iters left: 5 (30 enodes) 1538422334.567 * * [misc]simplify: iters left: 4 (47 enodes) 1538422334.574 * * [misc]simplify: iters left: 3 (83 enodes) 1538422334.589 * * [misc]simplify: iters left: 2 (131 enodes) 1538422334.625 * * [misc]simplify: iters left: 1 (184 enodes) 1538422334.667 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422334.667 * [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)))))) 1538422334.667 * * * * [misc]progress: [ 29 / 310 ] simplifiying candidate # 1538422334.667 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1538422334.667 * * [misc]simplify: iters left: 6 (11 enodes) 1538422334.669 * * [misc]simplify: iters left: 5 (19 enodes) 1538422334.672 * * [misc]simplify: iters left: 4 (28 enodes) 1538422334.675 * * [misc]simplify: iters left: 3 (32 enodes) 1538422334.678 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538422334.678 * [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))))))) 1538422334.678 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422334.678 * * [misc]simplify: iters left: 6 (17 enodes) 1538422334.683 * * [misc]simplify: iters left: 5 (29 enodes) 1538422334.691 * * [misc]simplify: iters left: 4 (46 enodes) 1538422334.704 * * [misc]simplify: iters left: 3 (82 enodes) 1538422334.725 * * [misc]simplify: iters left: 2 (130 enodes) 1538422334.761 * * [misc]simplify: iters left: 1 (183 enodes) 1538422334.815 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422334.815 * [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)))))) 1538422334.815 * * * * [misc]progress: [ 30 / 310 ] simplifiying candidate # 1538422334.816 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538422334.816 * * [misc]simplify: iters left: 6 (12 enodes) 1538422334.819 * * [misc]simplify: iters left: 5 (22 enodes) 1538422334.825 * * [misc]simplify: iters left: 4 (26 enodes) 1538422334.832 * * [misc]simplify: iters left: 3 (37 enodes) 1538422334.838 * * [misc]simplify: iters left: 2 (42 enodes) 1538422334.842 * * [misc]simplify: iters left: 1 (51 enodes) 1538422334.848 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422334.848 * [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))))))) 1538422334.848 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422334.848 * * [misc]simplify: iters left: 6 (14 enodes) 1538422334.850 * * [misc]simplify: iters left: 5 (25 enodes) 1538422334.854 * * [misc]simplify: iters left: 4 (41 enodes) 1538422334.859 * * [misc]simplify: iters left: 3 (77 enodes) 1538422334.869 * * [misc]simplify: iters left: 2 (125 enodes) 1538422334.893 * * [misc]simplify: iters left: 1 (178 enodes) 1538422334.918 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422334.918 * [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))))) 1538422334.918 * * * * [misc]progress: [ 31 / 310 ] simplifiying candidate # 1538422334.918 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538422334.918 * * [misc]simplify: iters left: 6 (12 enodes) 1538422334.920 * * [misc]simplify: iters left: 5 (22 enodes) 1538422334.923 * * [misc]simplify: iters left: 4 (26 enodes) 1538422334.926 * * [misc]simplify: iters left: 3 (37 enodes) 1538422334.931 * * [misc]simplify: iters left: 2 (42 enodes) 1538422334.936 * * [misc]simplify: iters left: 1 (51 enodes) 1538422334.941 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422334.941 * [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))))))) 1538422334.942 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422334.942 * * [misc]simplify: iters left: 6 (14 enodes) 1538422334.944 * * [misc]simplify: iters left: 5 (25 enodes) 1538422334.947 * * [misc]simplify: iters left: 4 (41 enodes) 1538422334.954 * * [misc]simplify: iters left: 3 (77 enodes) 1538422334.973 * * [misc]simplify: iters left: 2 (125 enodes) 1538422334.990 * * [misc]simplify: iters left: 1 (178 enodes) 1538422335.014 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422335.014 * [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))))) 1538422335.014 * * * * [misc]progress: [ 32 / 310 ] simplifiying candidate # 1538422335.014 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422335.015 * * [misc]simplify: iters left: 6 (14 enodes) 1538422335.017 * * [misc]simplify: iters left: 5 (24 enodes) 1538422335.020 * * [misc]simplify: iters left: 4 (31 enodes) 1538422335.024 * * [misc]simplify: iters left: 3 (42 enodes) 1538422335.031 * * [misc]simplify: iters left: 2 (47 enodes) 1538422335.041 * * [misc]simplify: iters left: 1 (57 enodes) 1538422335.052 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538422335.052 * [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))))))) 1538422335.052 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422335.052 * * [misc]simplify: iters left: 6 (14 enodes) 1538422335.054 * * [misc]simplify: iters left: 5 (25 enodes) 1538422335.057 * * [misc]simplify: iters left: 4 (42 enodes) 1538422335.063 * * [misc]simplify: iters left: 3 (78 enodes) 1538422335.072 * * [misc]simplify: iters left: 2 (126 enodes) 1538422335.097 * * [misc]simplify: iters left: 1 (179 enodes) 1538422335.139 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1538422335.139 * [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)))))) 1538422335.139 * * * * [misc]progress: [ 33 / 310 ] simplifiying candidate # 1538422335.140 * [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))))))) 1538422335.140 * * [misc]simplify: iters left: 6 (17 enodes) 1538422335.142 * * [misc]simplify: iters left: 5 (30 enodes) 1538422335.147 * * [misc]simplify: iters left: 4 (39 enodes) 1538422335.152 * * [misc]simplify: iters left: 3 (56 enodes) 1538422335.161 * * [misc]simplify: iters left: 2 (73 enodes) 1538422335.171 * * [misc]simplify: iters left: 1 (94 enodes) 1538422335.187 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1538422335.187 * [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)))))))) 1538422335.187 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422335.187 * * [misc]simplify: iters left: 6 (17 enodes) 1538422335.192 * * [misc]simplify: iters left: 5 (29 enodes) 1538422335.200 * * [misc]simplify: iters left: 4 (46 enodes) 1538422335.213 * * [misc]simplify: iters left: 3 (82 enodes) 1538422335.232 * * [misc]simplify: iters left: 2 (130 enodes) 1538422335.251 * * [misc]simplify: iters left: 1 (183 enodes) 1538422335.291 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422335.291 * [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))))) 1538422335.291 * * * * [misc]progress: [ 34 / 310 ] simplifiying candidate # 1538422335.291 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422335.291 * * [misc]simplify: iters left: 6 (16 enodes) 1538422335.294 * * [misc]simplify: iters left: 5 (27 enodes) 1538422335.298 * * [misc]simplify: iters left: 4 (34 enodes) 1538422335.303 * * [misc]simplify: iters left: 3 (45 enodes) 1538422335.308 * * [misc]simplify: iters left: 2 (50 enodes) 1538422335.314 * * [misc]simplify: iters left: 1 (60 enodes) 1538422335.325 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422335.325 * [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)))))))) 1538422335.325 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422335.326 * * [misc]simplify: iters left: 6 (17 enodes) 1538422335.331 * * [misc]simplify: iters left: 5 (29 enodes) 1538422335.339 * * [misc]simplify: iters left: 4 (46 enodes) 1538422335.346 * * [misc]simplify: iters left: 3 (82 enodes) 1538422335.356 * * [misc]simplify: iters left: 2 (130 enodes) 1538422335.379 * * [misc]simplify: iters left: 1 (183 enodes) 1538422335.418 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422335.418 * [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))))) 1538422335.418 * * * * [misc]progress: [ 35 / 310 ] simplifiying candidate # 1538422335.418 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1538422335.418 * * [misc]simplify: iters left: 6 (8 enodes) 1538422335.420 * * [misc]simplify: iters left: 5 (14 enodes) 1538422335.422 * * [misc]simplify: iters left: 4 (16 enodes) 1538422335.424 * * [misc]simplify: iters left: 3 (18 enodes) 1538422335.426 * [exit]simplify: Simplified to (sqrt PI) 1538422335.426 * [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))))))) 1538422335.426 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422335.426 * * [misc]simplify: iters left: 6 (16 enodes) 1538422335.429 * * [misc]simplify: iters left: 5 (28 enodes) 1538422335.433 * * [misc]simplify: iters left: 4 (45 enodes) 1538422335.443 * * [misc]simplify: iters left: 3 (81 enodes) 1538422335.455 * * [misc]simplify: iters left: 2 (129 enodes) 1538422335.476 * * [misc]simplify: iters left: 1 (181 enodes) 1538422335.526 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422335.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422335.526 * * * * [misc]progress: [ 36 / 310 ] simplifiying candidate # 1538422335.527 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1538422335.527 * * [misc]simplify: iters left: 6 (7 enodes) 1538422335.529 * * [misc]simplify: iters left: 5 (13 enodes) 1538422335.533 * * [misc]simplify: iters left: 4 (19 enodes) 1538422335.537 * [exit]simplify: Simplified to (sqrt PI) 1538422335.537 * [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))))))) 1538422335.537 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422335.537 * * [misc]simplify: iters left: 6 (16 enodes) 1538422335.542 * * [misc]simplify: iters left: 5 (28 enodes) 1538422335.550 * * [misc]simplify: iters left: 4 (45 enodes) 1538422335.562 * * [misc]simplify: iters left: 3 (81 enodes) 1538422335.582 * * [misc]simplify: iters left: 2 (129 enodes) 1538422335.615 * * [misc]simplify: iters left: 1 (181 enodes) 1538422335.668 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422335.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422335.668 * * * * [misc]progress: [ 37 / 310 ] simplifiying candidate # 1538422335.668 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1538422335.668 * * [misc]simplify: iters left: 6 (8 enodes) 1538422335.671 * * [misc]simplify: iters left: 5 (12 enodes) 1538422335.674 * * [misc]simplify: iters left: 4 (14 enodes) 1538422335.677 * * [misc]simplify: iters left: 3 (16 enodes) 1538422335.681 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538422335.681 * [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))))))) 1538422335.681 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422335.681 * * [misc]simplify: iters left: 6 (16 enodes) 1538422335.687 * * [misc]simplify: iters left: 5 (30 enodes) 1538422335.695 * * [misc]simplify: iters left: 4 (45 enodes) 1538422335.708 * * [misc]simplify: iters left: 3 (88 enodes) 1538422335.721 * * [misc]simplify: iters left: 2 (130 enodes) 1538422335.738 * * [misc]simplify: iters left: 1 (185 enodes) 1538422335.768 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1538422335.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1538422335.769 * * * * [misc]progress: [ 38 / 310 ] simplifiying candidate # 1538422335.769 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422335.769 * * [misc]simplify: iters left: 6 (13 enodes) 1538422335.771 * * [misc]simplify: iters left: 5 (21 enodes) 1538422335.773 * * [misc]simplify: iters left: 4 (26 enodes) 1538422335.777 * * [misc]simplify: iters left: 3 (30 enodes) 1538422335.780 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1538422335.780 * [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))))) 1538422335.780 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1538422335.780 * * [misc]simplify: iters left: 6 (12 enodes) 1538422335.782 * * [misc]simplify: iters left: 5 (21 enodes) 1538422335.785 * * [misc]simplify: iters left: 4 (34 enodes) 1538422335.790 * * [misc]simplify: iters left: 3 (64 enodes) 1538422335.797 * * [misc]simplify: iters left: 2 (86 enodes) 1538422335.806 * * [misc]simplify: iters left: 1 (94 enodes) 1538422335.817 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538422335.817 * [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))))) 1538422335.817 * * * * [misc]progress: [ 39 / 310 ] simplifiying candidate # 1538422335.817 * [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))))))) 1538422335.817 * * [misc]simplify: iters left: 6 (17 enodes) 1538422335.820 * * [misc]simplify: iters left: 5 (26 enodes) 1538422335.827 * * [misc]simplify: iters left: 4 (31 enodes) 1538422335.837 * * [misc]simplify: iters left: 3 (33 enodes) 1538422335.845 * [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)))))) 1538422335.845 * [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)))))))) 1538422335.846 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422335.846 * * [misc]simplify: iters left: 6 (17 enodes) 1538422335.851 * * [misc]simplify: iters left: 5 (27 enodes) 1538422335.859 * * [misc]simplify: iters left: 4 (41 enodes) 1538422335.870 * * [misc]simplify: iters left: 3 (71 enodes) 1538422335.881 * * [misc]simplify: iters left: 2 (93 enodes) 1538422335.891 * * [misc]simplify: iters left: 1 (101 enodes) 1538422335.902 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422335.902 * [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)))))))) 1538422335.902 * * * * [misc]progress: [ 40 / 310 ] simplifiying candidate # 1538422335.902 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422335.902 * * [misc]simplify: iters left: 6 (16 enodes) 1538422335.905 * * [misc]simplify: iters left: 5 (23 enodes) 1538422335.907 * * [misc]simplify: iters left: 4 (28 enodes) 1538422335.911 * * [misc]simplify: iters left: 3 (30 enodes) 1538422335.915 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422335.915 * [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)))))))) 1538422335.915 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422335.915 * * [misc]simplify: iters left: 6 (17 enodes) 1538422335.917 * * [misc]simplify: iters left: 5 (27 enodes) 1538422335.923 * * [misc]simplify: iters left: 4 (41 enodes) 1538422335.930 * * [misc]simplify: iters left: 3 (71 enodes) 1538422335.938 * * [misc]simplify: iters left: 2 (93 enodes) 1538422335.957 * * [misc]simplify: iters left: 1 (101 enodes) 1538422335.978 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422335.978 * [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)))))))) 1538422335.978 * * * * [misc]progress: [ 41 / 310 ] simplifiying candidate # 1538422335.979 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422335.979 * * [misc]simplify: iters left: 6 (15 enodes) 1538422335.983 * * [misc]simplify: iters left: 5 (25 enodes) 1538422335.990 * * [misc]simplify: iters left: 4 (34 enodes) 1538422336.000 * * [misc]simplify: iters left: 3 (48 enodes) 1538422336.012 * * [misc]simplify: iters left: 2 (53 enodes) 1538422336.024 * * [misc]simplify: iters left: 1 (60 enodes) 1538422336.038 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422336.038 * [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))))))) 1538422336.038 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422336.039 * * [misc]simplify: iters left: 6 (15 enodes) 1538422336.043 * * [misc]simplify: iters left: 5 (26 enodes) 1538422336.050 * * [misc]simplify: iters left: 4 (42 enodes) 1538422336.064 * * [misc]simplify: iters left: 3 (78 enodes) 1538422336.083 * * [misc]simplify: iters left: 2 (126 enodes) 1538422336.116 * * [misc]simplify: iters left: 1 (179 enodes) 1538422336.166 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422336.166 * [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)))))) 1538422336.166 * * * * [misc]progress: [ 42 / 310 ] simplifiying candidate # 1538422336.167 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422336.167 * * [misc]simplify: iters left: 6 (15 enodes) 1538422336.172 * * [misc]simplify: iters left: 5 (25 enodes) 1538422336.178 * * [misc]simplify: iters left: 4 (34 enodes) 1538422336.187 * * [misc]simplify: iters left: 3 (48 enodes) 1538422336.202 * * [misc]simplify: iters left: 2 (53 enodes) 1538422336.214 * * [misc]simplify: iters left: 1 (60 enodes) 1538422336.228 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422336.229 * [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))))))) 1538422336.229 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422336.229 * * [misc]simplify: iters left: 6 (15 enodes) 1538422336.234 * * [misc]simplify: iters left: 5 (26 enodes) 1538422336.241 * * [misc]simplify: iters left: 4 (42 enodes) 1538422336.252 * * [misc]simplify: iters left: 3 (78 enodes) 1538422336.272 * * [misc]simplify: iters left: 2 (126 enodes) 1538422336.306 * * [misc]simplify: iters left: 1 (179 enodes) 1538422336.342 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422336.342 * [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)))))) 1538422336.342 * * * * [misc]progress: [ 43 / 310 ] simplifiying candidate # 1538422336.342 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422336.342 * * [misc]simplify: iters left: 6 (16 enodes) 1538422336.344 * * [misc]simplify: iters left: 5 (26 enodes) 1538422336.348 * * [misc]simplify: iters left: 4 (38 enodes) 1538422336.353 * * [misc]simplify: iters left: 3 (52 enodes) 1538422336.364 * * [misc]simplify: iters left: 2 (57 enodes) 1538422336.377 * * [misc]simplify: iters left: 1 (64 enodes) 1538422336.393 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422336.393 * [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))))))) 1538422336.393 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422336.394 * * [misc]simplify: iters left: 6 (15 enodes) 1538422336.398 * * [misc]simplify: iters left: 5 (26 enodes) 1538422336.406 * * [misc]simplify: iters left: 4 (43 enodes) 1538422336.418 * * [misc]simplify: iters left: 3 (79 enodes) 1538422336.434 * * [misc]simplify: iters left: 2 (127 enodes) 1538422336.454 * * [misc]simplify: iters left: 1 (180 enodes) 1538422336.482 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422336.482 * [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)))))) 1538422336.483 * * * * [misc]progress: [ 44 / 310 ] simplifiying candidate # 1538422336.483 * [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))))))) 1538422336.483 * * [misc]simplify: iters left: 6 (19 enodes) 1538422336.489 * * [misc]simplify: iters left: 5 (34 enodes) 1538422336.499 * * [misc]simplify: iters left: 4 (57 enodes) 1538422336.516 * * [misc]simplify: iters left: 3 (84 enodes) 1538422336.543 * * [misc]simplify: iters left: 2 (118 enodes) 1538422336.570 * * [misc]simplify: iters left: 1 (141 enodes) 1538422336.593 * [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)))))) 1538422336.593 * [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)))))))) 1538422336.593 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422336.593 * * [misc]simplify: iters left: 6 (18 enodes) 1538422336.596 * * [misc]simplify: iters left: 5 (30 enodes) 1538422336.600 * * [misc]simplify: iters left: 4 (47 enodes) 1538422336.606 * * [misc]simplify: iters left: 3 (83 enodes) 1538422336.617 * * [misc]simplify: iters left: 2 (131 enodes) 1538422336.636 * * [misc]simplify: iters left: 1 (184 enodes) 1538422336.661 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422336.662 * [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)))))) 1538422336.662 * * * * [misc]progress: [ 45 / 310 ] simplifiying candidate # 1538422336.662 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422336.662 * * [misc]simplify: iters left: 6 (18 enodes) 1538422336.664 * * [misc]simplify: iters left: 5 (29 enodes) 1538422336.668 * * [misc]simplify: iters left: 4 (41 enodes) 1538422336.674 * * [misc]simplify: iters left: 3 (55 enodes) 1538422336.681 * * [misc]simplify: iters left: 2 (60 enodes) 1538422336.688 * * [misc]simplify: iters left: 1 (67 enodes) 1538422336.698 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422336.698 * [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)))))))) 1538422336.699 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422336.699 * * [misc]simplify: iters left: 6 (18 enodes) 1538422336.701 * * [misc]simplify: iters left: 5 (30 enodes) 1538422336.705 * * [misc]simplify: iters left: 4 (47 enodes) 1538422336.712 * * [misc]simplify: iters left: 3 (83 enodes) 1538422336.722 * * [misc]simplify: iters left: 2 (131 enodes) 1538422336.740 * * [misc]simplify: iters left: 1 (184 enodes) 1538422336.767 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422336.767 * [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)))))) 1538422336.767 * * * * [misc]progress: [ 46 / 310 ] simplifiying candidate # 1538422336.768 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422336.768 * * [misc]simplify: iters left: 6 (12 enodes) 1538422336.769 * * [misc]simplify: iters left: 5 (22 enodes) 1538422336.773 * * [misc]simplify: iters left: 4 (35 enodes) 1538422336.780 * * [misc]simplify: iters left: 3 (57 enodes) 1538422336.797 * * [misc]simplify: iters left: 2 (124 enodes) 1538422336.843 * * [misc]simplify: iters left: 1 (186 enodes) 1538422336.859 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538422336.859 * [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))))))) 1538422336.860 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422336.860 * * [misc]simplify: iters left: 6 (17 enodes) 1538422336.865 * * [misc]simplify: iters left: 5 (29 enodes) 1538422336.872 * * [misc]simplify: iters left: 4 (46 enodes) 1538422336.880 * * [misc]simplify: iters left: 3 (82 enodes) 1538422336.890 * * [misc]simplify: iters left: 2 (130 enodes) 1538422336.912 * * [misc]simplify: iters left: 1 (183 enodes) 1538422336.950 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538422336.950 * [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)))))) 1538422336.950 * * * * [misc]progress: [ 47 / 310 ] simplifiying candidate # 1538422336.951 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422336.951 * * [misc]simplify: iters left: 6 (14 enodes) 1538422336.953 * * [misc]simplify: iters left: 5 (22 enodes) 1538422336.956 * * [misc]simplify: iters left: 4 (27 enodes) 1538422336.959 * * [misc]simplify: iters left: 3 (31 enodes) 1538422336.963 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422336.963 * [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))))))) 1538422336.963 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422336.963 * * [misc]simplify: iters left: 6 (15 enodes) 1538422336.967 * * [misc]simplify: iters left: 5 (26 enodes) 1538422336.974 * * [misc]simplify: iters left: 4 (42 enodes) 1538422336.985 * * [misc]simplify: iters left: 3 (78 enodes) 1538422337.004 * * [misc]simplify: iters left: 2 (126 enodes) 1538422337.038 * * [misc]simplify: iters left: 1 (179 enodes) 1538422337.092 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422337.092 * [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)))))) 1538422337.092 * * * * [misc]progress: [ 48 / 310 ] simplifiying candidate # 1538422337.092 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422337.092 * * [misc]simplify: iters left: 6 (14 enodes) 1538422337.097 * * [misc]simplify: iters left: 5 (22 enodes) 1538422337.103 * * [misc]simplify: iters left: 4 (27 enodes) 1538422337.110 * * [misc]simplify: iters left: 3 (31 enodes) 1538422337.118 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422337.118 * [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))))))) 1538422337.118 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422337.118 * * [misc]simplify: iters left: 6 (15 enodes) 1538422337.123 * * [misc]simplify: iters left: 5 (26 enodes) 1538422337.130 * * [misc]simplify: iters left: 4 (42 enodes) 1538422337.141 * * [misc]simplify: iters left: 3 (78 enodes) 1538422337.160 * * [misc]simplify: iters left: 2 (126 enodes) 1538422337.192 * * [misc]simplify: iters left: 1 (179 enodes) 1538422337.230 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422337.230 * [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)))))) 1538422337.230 * * * * [misc]progress: [ 49 / 310 ] simplifiying candidate # 1538422337.231 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422337.231 * * [misc]simplify: iters left: 6 (15 enodes) 1538422337.233 * * [misc]simplify: iters left: 5 (23 enodes) 1538422337.236 * * [misc]simplify: iters left: 4 (31 enodes) 1538422337.244 * * [misc]simplify: iters left: 3 (35 enodes) 1538422337.252 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422337.253 * [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))))))) 1538422337.253 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422337.253 * * [misc]simplify: iters left: 6 (15 enodes) 1538422337.257 * * [misc]simplify: iters left: 5 (26 enodes) 1538422337.264 * * [misc]simplify: iters left: 4 (43 enodes) 1538422337.276 * * [misc]simplify: iters left: 3 (79 enodes) 1538422337.295 * * [misc]simplify: iters left: 2 (127 enodes) 1538422337.326 * * [misc]simplify: iters left: 1 (180 enodes) 1538422337.362 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422337.362 * [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)))))) 1538422337.362 * * * * [misc]progress: [ 50 / 310 ] simplifiying candidate # 1538422337.363 * [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))))))) 1538422337.363 * * [misc]simplify: iters left: 6 (18 enodes) 1538422337.368 * * [misc]simplify: iters left: 5 (29 enodes) 1538422337.376 * * [misc]simplify: iters left: 4 (39 enodes) 1538422337.387 * * [misc]simplify: iters left: 3 (50 enodes) 1538422337.401 * * [misc]simplify: iters left: 2 (58 enodes) 1538422337.415 * * [misc]simplify: iters left: 1 (60 enodes) 1538422337.427 * [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)))))) 1538422337.427 * [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)))))))) 1538422337.427 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422337.428 * * [misc]simplify: iters left: 6 (18 enodes) 1538422337.430 * * [misc]simplify: iters left: 5 (30 enodes) 1538422337.435 * * [misc]simplify: iters left: 4 (47 enodes) 1538422337.443 * * [misc]simplify: iters left: 3 (83 enodes) 1538422337.454 * * [misc]simplify: iters left: 2 (131 enodes) 1538422337.479 * * [misc]simplify: iters left: 1 (184 enodes) 1538422337.533 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422337.533 * [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)))))) 1538422337.533 * * * * [misc]progress: [ 51 / 310 ] simplifiying candidate # 1538422337.533 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422337.533 * * [misc]simplify: iters left: 6 (17 enodes) 1538422337.538 * * [misc]simplify: iters left: 5 (26 enodes) 1538422337.545 * * [misc]simplify: iters left: 4 (34 enodes) 1538422337.551 * * [misc]simplify: iters left: 3 (38 enodes) 1538422337.557 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422337.557 * [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)))))))) 1538422337.558 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422337.558 * * [misc]simplify: iters left: 6 (18 enodes) 1538422337.561 * * [misc]simplify: iters left: 5 (30 enodes) 1538422337.565 * * [misc]simplify: iters left: 4 (47 enodes) 1538422337.571 * * [misc]simplify: iters left: 3 (83 enodes) 1538422337.588 * * [misc]simplify: iters left: 2 (131 enodes) 1538422337.623 * * [misc]simplify: iters left: 1 (184 enodes) 1538422337.676 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422337.676 * [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)))))) 1538422337.676 * * * * [misc]progress: [ 52 / 310 ] simplifiying candidate # 1538422337.676 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1538422337.676 * * [misc]simplify: iters left: 6 (11 enodes) 1538422337.680 * * [misc]simplify: iters left: 5 (19 enodes) 1538422337.685 * * [misc]simplify: iters left: 4 (28 enodes) 1538422337.692 * * [misc]simplify: iters left: 3 (32 enodes) 1538422337.698 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538422337.698 * [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))))))) 1538422337.698 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422337.699 * * [misc]simplify: iters left: 6 (17 enodes) 1538422337.704 * * [misc]simplify: iters left: 5 (29 enodes) 1538422337.712 * * [misc]simplify: iters left: 4 (46 enodes) 1538422337.725 * * [misc]simplify: iters left: 3 (82 enodes) 1538422337.740 * * [misc]simplify: iters left: 2 (130 enodes) 1538422337.758 * * [misc]simplify: iters left: 1 (183 enodes) 1538422337.800 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538422337.800 * [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)))))) 1538422337.800 * * * * [misc]progress: [ 53 / 310 ] simplifiying candidate # 1538422337.800 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538422337.801 * * [misc]simplify: iters left: 6 (12 enodes) 1538422337.804 * * [misc]simplify: iters left: 5 (22 enodes) 1538422337.809 * * [misc]simplify: iters left: 4 (26 enodes) 1538422337.813 * * [misc]simplify: iters left: 3 (37 enodes) 1538422337.817 * * [misc]simplify: iters left: 2 (42 enodes) 1538422337.822 * * [misc]simplify: iters left: 1 (51 enodes) 1538422337.828 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422337.828 * [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))))))) 1538422337.828 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422337.828 * * [misc]simplify: iters left: 6 (14 enodes) 1538422337.830 * * [misc]simplify: iters left: 5 (25 enodes) 1538422337.834 * * [misc]simplify: iters left: 4 (41 enodes) 1538422337.839 * * [misc]simplify: iters left: 3 (77 enodes) 1538422337.853 * * [misc]simplify: iters left: 2 (125 enodes) 1538422337.881 * * [misc]simplify: iters left: 1 (178 enodes) 1538422337.914 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422337.914 * [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))))) 1538422337.914 * * * * [misc]progress: [ 54 / 310 ] simplifiying candidate # 1538422337.915 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538422337.915 * * [misc]simplify: iters left: 6 (12 enodes) 1538422337.918 * * [misc]simplify: iters left: 5 (22 enodes) 1538422337.924 * * [misc]simplify: iters left: 4 (26 enodes) 1538422337.930 * * [misc]simplify: iters left: 3 (37 enodes) 1538422337.938 * * [misc]simplify: iters left: 2 (42 enodes) 1538422337.947 * * [misc]simplify: iters left: 1 (51 enodes) 1538422337.958 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422337.958 * [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))))))) 1538422337.958 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422337.958 * * [misc]simplify: iters left: 6 (14 enodes) 1538422337.963 * * [misc]simplify: iters left: 5 (25 enodes) 1538422337.969 * * [misc]simplify: iters left: 4 (41 enodes) 1538422337.980 * * [misc]simplify: iters left: 3 (77 enodes) 1538422337.994 * * [misc]simplify: iters left: 2 (125 enodes) 1538422338.011 * * [misc]simplify: iters left: 1 (178 enodes) 1538422338.036 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422338.036 * [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))))) 1538422338.036 * * * * [misc]progress: [ 55 / 310 ] simplifiying candidate # 1538422338.036 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422338.036 * * [misc]simplify: iters left: 6 (14 enodes) 1538422338.038 * * [misc]simplify: iters left: 5 (24 enodes) 1538422338.041 * * [misc]simplify: iters left: 4 (31 enodes) 1538422338.045 * * [misc]simplify: iters left: 3 (42 enodes) 1538422338.051 * * [misc]simplify: iters left: 2 (47 enodes) 1538422338.056 * * [misc]simplify: iters left: 1 (57 enodes) 1538422338.068 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538422338.068 * [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))))))) 1538422338.068 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422338.068 * * [misc]simplify: iters left: 6 (14 enodes) 1538422338.070 * * [misc]simplify: iters left: 5 (25 enodes) 1538422338.074 * * [misc]simplify: iters left: 4 (42 enodes) 1538422338.079 * * [misc]simplify: iters left: 3 (78 enodes) 1538422338.089 * * [misc]simplify: iters left: 2 (126 enodes) 1538422338.111 * * [misc]simplify: iters left: 1 (179 enodes) 1538422338.144 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1538422338.144 * [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)))))) 1538422338.144 * * * * [misc]progress: [ 56 / 310 ] simplifiying candidate # 1538422338.144 * [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))))))) 1538422338.144 * * [misc]simplify: iters left: 6 (17 enodes) 1538422338.147 * * [misc]simplify: iters left: 5 (30 enodes) 1538422338.152 * * [misc]simplify: iters left: 4 (39 enodes) 1538422338.158 * * [misc]simplify: iters left: 3 (56 enodes) 1538422338.171 * * [misc]simplify: iters left: 2 (73 enodes) 1538422338.181 * * [misc]simplify: iters left: 1 (94 enodes) 1538422338.196 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1538422338.196 * [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)))))))) 1538422338.196 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422338.196 * * [misc]simplify: iters left: 6 (17 enodes) 1538422338.199 * * [misc]simplify: iters left: 5 (29 enodes) 1538422338.202 * * [misc]simplify: iters left: 4 (46 enodes) 1538422338.209 * * [misc]simplify: iters left: 3 (82 enodes) 1538422338.227 * * [misc]simplify: iters left: 2 (130 enodes) 1538422338.263 * * [misc]simplify: iters left: 1 (183 enodes) 1538422338.303 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422338.303 * [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))))) 1538422338.303 * * * * [misc]progress: [ 57 / 310 ] simplifiying candidate # 1538422338.303 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422338.304 * * [misc]simplify: iters left: 6 (16 enodes) 1538422338.306 * * [misc]simplify: iters left: 5 (27 enodes) 1538422338.309 * * [misc]simplify: iters left: 4 (34 enodes) 1538422338.316 * * [misc]simplify: iters left: 3 (45 enodes) 1538422338.326 * * [misc]simplify: iters left: 2 (50 enodes) 1538422338.338 * * [misc]simplify: iters left: 1 (60 enodes) 1538422338.351 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422338.351 * [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)))))))) 1538422338.351 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422338.351 * * [misc]simplify: iters left: 6 (17 enodes) 1538422338.353 * * [misc]simplify: iters left: 5 (29 enodes) 1538422338.359 * * [misc]simplify: iters left: 4 (46 enodes) 1538422338.366 * * [misc]simplify: iters left: 3 (82 enodes) 1538422338.380 * * [misc]simplify: iters left: 2 (130 enodes) 1538422338.405 * * [misc]simplify: iters left: 1 (183 enodes) 1538422338.433 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422338.433 * [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))))) 1538422338.433 * * * * [misc]progress: [ 58 / 310 ] simplifiying candidate # 1538422338.434 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1538422338.434 * * [misc]simplify: iters left: 6 (8 enodes) 1538422338.435 * * [misc]simplify: iters left: 5 (14 enodes) 1538422338.436 * * [misc]simplify: iters left: 4 (16 enodes) 1538422338.438 * * [misc]simplify: iters left: 3 (18 enodes) 1538422338.442 * [exit]simplify: Simplified to (sqrt PI) 1538422338.442 * [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))))))) 1538422338.442 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422338.442 * * [misc]simplify: iters left: 6 (16 enodes) 1538422338.444 * * [misc]simplify: iters left: 5 (28 enodes) 1538422338.448 * * [misc]simplify: iters left: 4 (45 enodes) 1538422338.454 * * [misc]simplify: iters left: 3 (81 enodes) 1538422338.473 * * [misc]simplify: iters left: 2 (129 enodes) 1538422338.496 * * [misc]simplify: iters left: 1 (181 enodes) 1538422338.531 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422338.531 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422338.531 * * * * [misc]progress: [ 59 / 310 ] simplifiying candidate # 1538422338.532 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1538422338.532 * * [misc]simplify: iters left: 6 (7 enodes) 1538422338.534 * * [misc]simplify: iters left: 5 (13 enodes) 1538422338.540 * * [misc]simplify: iters left: 4 (19 enodes) 1538422338.544 * [exit]simplify: Simplified to (sqrt PI) 1538422338.544 * [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))))))) 1538422338.544 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422338.544 * * [misc]simplify: iters left: 6 (16 enodes) 1538422338.549 * * [misc]simplify: iters left: 5 (28 enodes) 1538422338.557 * * [misc]simplify: iters left: 4 (45 enodes) 1538422338.570 * * [misc]simplify: iters left: 3 (81 enodes) 1538422338.590 * * [misc]simplify: iters left: 2 (129 enodes) 1538422338.608 * * [misc]simplify: iters left: 1 (181 enodes) 1538422338.645 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422338.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422338.645 * * * * [misc]progress: [ 60 / 310 ] simplifiying candidate # 1538422338.646 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1538422338.646 * * [misc]simplify: iters left: 6 (8 enodes) 1538422338.648 * * [misc]simplify: iters left: 5 (12 enodes) 1538422338.651 * * [misc]simplify: iters left: 4 (14 enodes) 1538422338.654 * * [misc]simplify: iters left: 3 (16 enodes) 1538422338.658 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538422338.658 * [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))))))) 1538422338.658 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422338.658 * * [misc]simplify: iters left: 6 (16 enodes) 1538422338.663 * * [misc]simplify: iters left: 5 (30 enodes) 1538422338.671 * * [misc]simplify: iters left: 4 (45 enodes) 1538422338.684 * * [misc]simplify: iters left: 3 (88 enodes) 1538422338.698 * * [misc]simplify: iters left: 2 (130 enodes) 1538422338.715 * * [misc]simplify: iters left: 1 (185 enodes) 1538422338.756 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1538422338.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1538422338.757 * * * * [misc]progress: [ 61 / 310 ] simplifiying candidate # 1538422338.757 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422338.757 * * [misc]simplify: iters left: 6 (13 enodes) 1538422338.761 * * [misc]simplify: iters left: 5 (21 enodes) 1538422338.767 * * [misc]simplify: iters left: 4 (26 enodes) 1538422338.773 * * [misc]simplify: iters left: 3 (30 enodes) 1538422338.781 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1538422338.781 * [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))))) 1538422338.781 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1538422338.781 * * [misc]simplify: iters left: 6 (12 enodes) 1538422338.785 * * [misc]simplify: iters left: 5 (21 enodes) 1538422338.791 * * [misc]simplify: iters left: 4 (34 enodes) 1538422338.801 * * [misc]simplify: iters left: 3 (64 enodes) 1538422338.816 * * [misc]simplify: iters left: 2 (86 enodes) 1538422338.834 * * [misc]simplify: iters left: 1 (94 enodes) 1538422338.854 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538422338.854 * [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))))) 1538422338.854 * * * * [misc]progress: [ 62 / 310 ] simplifiying candidate # 1538422338.855 * [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))))))) 1538422338.855 * * [misc]simplify: iters left: 6 (17 enodes) 1538422338.861 * * [misc]simplify: iters left: 5 (25 enodes) 1538422338.869 * * [misc]simplify: iters left: 4 (29 enodes) 1538422338.877 * * [misc]simplify: iters left: 3 (32 enodes) 1538422338.888 * * [misc]simplify: iters left: 2 (33 enodes) 1538422338.897 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422338.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538422338.897 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422338.898 * * [misc]simplify: iters left: 6 (17 enodes) 1538422338.903 * * [misc]simplify: iters left: 5 (26 enodes) 1538422338.911 * * [misc]simplify: iters left: 4 (45 enodes) 1538422338.923 * * [misc]simplify: iters left: 3 (74 enodes) 1538422338.936 * * [misc]simplify: iters left: 2 (90 enodes) 1538422338.946 * * [misc]simplify: iters left: 1 (100 enodes) 1538422338.957 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422338.957 * [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)))))))) 1538422338.957 * * * * [misc]progress: [ 63 / 310 ] simplifiying candidate # 1538422338.957 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422338.957 * * [misc]simplify: iters left: 6 (16 enodes) 1538422338.960 * * [misc]simplify: iters left: 5 (22 enodes) 1538422338.967 * * [misc]simplify: iters left: 4 (26 enodes) 1538422338.974 * * [misc]simplify: iters left: 3 (29 enodes) 1538422338.982 * * [misc]simplify: iters left: 2 (30 enodes) 1538422338.990 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422338.990 * [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)))))))) 1538422338.991 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422338.991 * * [misc]simplify: iters left: 6 (17 enodes) 1538422338.996 * * [misc]simplify: iters left: 5 (26 enodes) 1538422339.005 * * [misc]simplify: iters left: 4 (45 enodes) 1538422339.011 * * [misc]simplify: iters left: 3 (74 enodes) 1538422339.020 * * [misc]simplify: iters left: 2 (90 enodes) 1538422339.035 * * [misc]simplify: iters left: 1 (100 enodes) 1538422339.053 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422339.053 * [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)))))))) 1538422339.053 * * * * [misc]progress: [ 64 / 310 ] simplifiying candidate # 1538422339.053 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422339.053 * * [misc]simplify: iters left: 6 (15 enodes) 1538422339.056 * * [misc]simplify: iters left: 5 (24 enodes) 1538422339.060 * * [misc]simplify: iters left: 4 (32 enodes) 1538422339.064 * * [misc]simplify: iters left: 3 (47 enodes) 1538422339.071 * * [misc]simplify: iters left: 2 (53 enodes) 1538422339.080 * * [misc]simplify: iters left: 1 (60 enodes) 1538422339.094 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538422339.094 * [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))))))) 1538422339.094 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422339.094 * * [misc]simplify: iters left: 6 (15 enodes) 1538422339.099 * * [misc]simplify: iters left: 5 (25 enodes) 1538422339.108 * * [misc]simplify: iters left: 4 (46 enodes) 1538422339.121 * * [misc]simplify: iters left: 3 (81 enodes) 1538422339.139 * * [misc]simplify: iters left: 2 (123 enodes) 1538422339.156 * * [misc]simplify: iters left: 1 (177 enodes) 1538422339.195 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422339.195 * [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)))))) 1538422339.195 * * * * [misc]progress: [ 65 / 310 ] simplifiying candidate # 1538422339.196 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422339.196 * * [misc]simplify: iters left: 6 (15 enodes) 1538422339.199 * * [misc]simplify: iters left: 5 (24 enodes) 1538422339.202 * * [misc]simplify: iters left: 4 (32 enodes) 1538422339.208 * * [misc]simplify: iters left: 3 (47 enodes) 1538422339.215 * * [misc]simplify: iters left: 2 (53 enodes) 1538422339.221 * * [misc]simplify: iters left: 1 (60 enodes) 1538422339.233 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538422339.233 * [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))))))) 1538422339.233 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422339.233 * * [misc]simplify: iters left: 6 (15 enodes) 1538422339.238 * * [misc]simplify: iters left: 5 (25 enodes) 1538422339.242 * * [misc]simplify: iters left: 4 (46 enodes) 1538422339.249 * * [misc]simplify: iters left: 3 (81 enodes) 1538422339.259 * * [misc]simplify: iters left: 2 (123 enodes) 1538422339.275 * * [misc]simplify: iters left: 1 (177 enodes) 1538422339.319 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422339.319 * [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)))))) 1538422339.319 * * * * [misc]progress: [ 66 / 310 ] simplifiying candidate # 1538422339.320 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422339.320 * * [misc]simplify: iters left: 6 (16 enodes) 1538422339.325 * * [misc]simplify: iters left: 5 (25 enodes) 1538422339.329 * * [misc]simplify: iters left: 4 (36 enodes) 1538422339.334 * * [misc]simplify: iters left: 3 (51 enodes) 1538422339.341 * * [misc]simplify: iters left: 2 (57 enodes) 1538422339.348 * * [misc]simplify: iters left: 1 (64 enodes) 1538422339.356 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1538422339.356 * [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))))))) 1538422339.356 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422339.356 * * [misc]simplify: iters left: 6 (15 enodes) 1538422339.359 * * [misc]simplify: iters left: 5 (25 enodes) 1538422339.365 * * [misc]simplify: iters left: 4 (47 enodes) 1538422339.378 * * [misc]simplify: iters left: 3 (82 enodes) 1538422339.398 * * [misc]simplify: iters left: 2 (124 enodes) 1538422339.433 * * [misc]simplify: iters left: 1 (178 enodes) 1538422339.484 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422339.484 * [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)))))) 1538422339.484 * * * * [misc]progress: [ 67 / 310 ] simplifiying candidate # 1538422339.484 * [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))))))) 1538422339.484 * * [misc]simplify: iters left: 6 (19 enodes) 1538422339.491 * * [misc]simplify: iters left: 5 (33 enodes) 1538422339.498 * * [misc]simplify: iters left: 4 (55 enodes) 1538422339.507 * * [misc]simplify: iters left: 3 (83 enodes) 1538422339.522 * * [misc]simplify: iters left: 2 (118 enodes) 1538422339.555 * * [misc]simplify: iters left: 1 (141 enodes) 1538422339.600 * [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)))))) 1538422339.600 * [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)))))))) 1538422339.600 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422339.601 * * [misc]simplify: iters left: 6 (18 enodes) 1538422339.606 * * [misc]simplify: iters left: 5 (29 enodes) 1538422339.614 * * [misc]simplify: iters left: 4 (51 enodes) 1538422339.629 * * [misc]simplify: iters left: 3 (86 enodes) 1538422339.651 * * [misc]simplify: iters left: 2 (128 enodes) 1538422339.686 * * [misc]simplify: iters left: 1 (183 enodes) 1538422339.738 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422339.738 * [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)))))) 1538422339.738 * * * * [misc]progress: [ 68 / 310 ] simplifiying candidate # 1538422339.738 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422339.738 * * [misc]simplify: iters left: 6 (18 enodes) 1538422339.744 * * [misc]simplify: iters left: 5 (28 enodes) 1538422339.753 * * [misc]simplify: iters left: 4 (39 enodes) 1538422339.760 * * [misc]simplify: iters left: 3 (54 enodes) 1538422339.767 * * [misc]simplify: iters left: 2 (60 enodes) 1538422339.775 * * [misc]simplify: iters left: 1 (67 enodes) 1538422339.784 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1538422339.784 * [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)))))))) 1538422339.784 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422339.784 * * [misc]simplify: iters left: 6 (18 enodes) 1538422339.786 * * [misc]simplify: iters left: 5 (29 enodes) 1538422339.791 * * [misc]simplify: iters left: 4 (51 enodes) 1538422339.798 * * [misc]simplify: iters left: 3 (86 enodes) 1538422339.808 * * [misc]simplify: iters left: 2 (128 enodes) 1538422339.825 * * [misc]simplify: iters left: 1 (183 enodes) 1538422339.863 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422339.863 * [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)))))) 1538422339.863 * * * * [misc]progress: [ 69 / 310 ] simplifiying candidate # 1538422339.863 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422339.863 * * [misc]simplify: iters left: 6 (12 enodes) 1538422339.865 * * [misc]simplify: iters left: 5 (21 enodes) 1538422339.870 * * [misc]simplify: iters left: 4 (33 enodes) 1538422339.880 * * [misc]simplify: iters left: 3 (56 enodes) 1538422339.890 * * [misc]simplify: iters left: 2 (119 enodes) 1538422339.914 * * [misc]simplify: iters left: 1 (173 enodes) 1538422339.941 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538422339.941 * [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))))))) 1538422339.941 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422339.941 * * [misc]simplify: iters left: 6 (17 enodes) 1538422339.946 * * [misc]simplify: iters left: 5 (28 enodes) 1538422339.951 * * [misc]simplify: iters left: 4 (50 enodes) 1538422339.958 * * [misc]simplify: iters left: 3 (85 enodes) 1538422339.969 * * [misc]simplify: iters left: 2 (127 enodes) 1538422340.000 * * [misc]simplify: iters left: 1 (181 enodes) 1538422340.027 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422340.027 * [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)))))) 1538422340.027 * * * * [misc]progress: [ 70 / 310 ] simplifiying candidate # 1538422340.027 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422340.027 * * [misc]simplify: iters left: 6 (14 enodes) 1538422340.030 * * [misc]simplify: iters left: 5 (21 enodes) 1538422340.037 * * [misc]simplify: iters left: 4 (25 enodes) 1538422340.044 * * [misc]simplify: iters left: 3 (30 enodes) 1538422340.052 * * [misc]simplify: iters left: 2 (31 enodes) 1538422340.059 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422340.059 * [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))))))) 1538422340.060 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422340.060 * * [misc]simplify: iters left: 6 (15 enodes) 1538422340.065 * * [misc]simplify: iters left: 5 (25 enodes) 1538422340.072 * * [misc]simplify: iters left: 4 (46 enodes) 1538422340.085 * * [misc]simplify: iters left: 3 (81 enodes) 1538422340.105 * * [misc]simplify: iters left: 2 (123 enodes) 1538422340.137 * * [misc]simplify: iters left: 1 (177 enodes) 1538422340.177 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422340.177 * [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)))))) 1538422340.177 * * * * [misc]progress: [ 71 / 310 ] simplifiying candidate # 1538422340.177 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422340.177 * * [misc]simplify: iters left: 6 (14 enodes) 1538422340.180 * * [misc]simplify: iters left: 5 (21 enodes) 1538422340.183 * * [misc]simplify: iters left: 4 (25 enodes) 1538422340.190 * * [misc]simplify: iters left: 3 (30 enodes) 1538422340.198 * * [misc]simplify: iters left: 2 (31 enodes) 1538422340.205 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422340.206 * [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))))))) 1538422340.206 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422340.206 * * [misc]simplify: iters left: 6 (15 enodes) 1538422340.211 * * [misc]simplify: iters left: 5 (25 enodes) 1538422340.218 * * [misc]simplify: iters left: 4 (46 enodes) 1538422340.231 * * [misc]simplify: iters left: 3 (81 enodes) 1538422340.246 * * [misc]simplify: iters left: 2 (123 enodes) 1538422340.262 * * [misc]simplify: iters left: 1 (177 enodes) 1538422340.309 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422340.309 * [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)))))) 1538422340.309 * * * * [misc]progress: [ 72 / 310 ] simplifiying candidate # 1538422340.309 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422340.309 * * [misc]simplify: iters left: 6 (15 enodes) 1538422340.314 * * [misc]simplify: iters left: 5 (22 enodes) 1538422340.320 * * [misc]simplify: iters left: 4 (29 enodes) 1538422340.324 * * [misc]simplify: iters left: 3 (34 enodes) 1538422340.329 * * [misc]simplify: iters left: 2 (35 enodes) 1538422340.333 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422340.333 * [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))))))) 1538422340.333 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422340.333 * * [misc]simplify: iters left: 6 (15 enodes) 1538422340.335 * * [misc]simplify: iters left: 5 (25 enodes) 1538422340.339 * * [misc]simplify: iters left: 4 (47 enodes) 1538422340.345 * * [misc]simplify: iters left: 3 (82 enodes) 1538422340.363 * * [misc]simplify: iters left: 2 (124 enodes) 1538422340.381 * * [misc]simplify: iters left: 1 (178 enodes) 1538422340.420 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422340.420 * [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)))))) 1538422340.420 * * * * [misc]progress: [ 73 / 310 ] simplifiying candidate # 1538422340.420 * [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))))))) 1538422340.420 * * [misc]simplify: iters left: 6 (18 enodes) 1538422340.426 * * [misc]simplify: iters left: 5 (28 enodes) 1538422340.434 * * [misc]simplify: iters left: 4 (37 enodes) 1538422340.445 * * [misc]simplify: iters left: 3 (49 enodes) 1538422340.458 * * [misc]simplify: iters left: 2 (58 enodes) 1538422340.471 * * [misc]simplify: iters left: 1 (60 enodes) 1538422340.486 * [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))) 1538422340.486 * [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)))))))) 1538422340.487 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422340.487 * * [misc]simplify: iters left: 6 (18 enodes) 1538422340.492 * * [misc]simplify: iters left: 5 (29 enodes) 1538422340.500 * * [misc]simplify: iters left: 4 (51 enodes) 1538422340.516 * * [misc]simplify: iters left: 3 (86 enodes) 1538422340.536 * * [misc]simplify: iters left: 2 (128 enodes) 1538422340.558 * * [misc]simplify: iters left: 1 (183 enodes) 1538422340.608 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422340.608 * [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)))))) 1538422340.608 * * * * [misc]progress: [ 74 / 310 ] simplifiying candidate # 1538422340.608 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422340.609 * * [misc]simplify: iters left: 6 (17 enodes) 1538422340.614 * * [misc]simplify: iters left: 5 (25 enodes) 1538422340.620 * * [misc]simplify: iters left: 4 (32 enodes) 1538422340.627 * * [misc]simplify: iters left: 3 (37 enodes) 1538422340.631 * * [misc]simplify: iters left: 2 (38 enodes) 1538422340.635 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422340.636 * [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)))))))) 1538422340.636 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422340.636 * * [misc]simplify: iters left: 6 (18 enodes) 1538422340.638 * * [misc]simplify: iters left: 5 (29 enodes) 1538422340.642 * * [misc]simplify: iters left: 4 (51 enodes) 1538422340.650 * * [misc]simplify: iters left: 3 (86 enodes) 1538422340.660 * * [misc]simplify: iters left: 2 (128 enodes) 1538422340.687 * * [misc]simplify: iters left: 1 (183 enodes) 1538422340.738 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422340.738 * [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)))))) 1538422340.738 * * * * [misc]progress: [ 75 / 310 ] simplifiying candidate # 1538422340.738 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1538422340.738 * * [misc]simplify: iters left: 6 (11 enodes) 1538422340.742 * * [misc]simplify: iters left: 5 (18 enodes) 1538422340.747 * * [misc]simplify: iters left: 4 (26 enodes) 1538422340.753 * * [misc]simplify: iters left: 3 (31 enodes) 1538422340.758 * * [misc]simplify: iters left: 2 (32 enodes) 1538422340.761 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538422340.761 * [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))))))) 1538422340.761 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422340.761 * * [misc]simplify: iters left: 6 (17 enodes) 1538422340.763 * * [misc]simplify: iters left: 5 (28 enodes) 1538422340.767 * * [misc]simplify: iters left: 4 (50 enodes) 1538422340.774 * * [misc]simplify: iters left: 3 (85 enodes) 1538422340.788 * * [misc]simplify: iters left: 2 (127 enodes) 1538422340.820 * * [misc]simplify: iters left: 1 (181 enodes) 1538422340.873 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422340.873 * [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)))))) 1538422340.873 * * * * [misc]progress: [ 76 / 310 ] simplifiying candidate # 1538422340.874 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538422340.874 * * [misc]simplify: iters left: 6 (12 enodes) 1538422340.878 * * [misc]simplify: iters left: 5 (21 enodes) 1538422340.884 * * [misc]simplify: iters left: 4 (24 enodes) 1538422340.891 * * [misc]simplify: iters left: 3 (36 enodes) 1538422340.899 * * [misc]simplify: iters left: 2 (42 enodes) 1538422340.909 * * [misc]simplify: iters left: 1 (51 enodes) 1538422340.920 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422340.920 * [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))))))) 1538422340.920 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422340.920 * * [misc]simplify: iters left: 6 (14 enodes) 1538422340.924 * * [misc]simplify: iters left: 5 (24 enodes) 1538422340.930 * * [misc]simplify: iters left: 4 (45 enodes) 1538422340.937 * * [misc]simplify: iters left: 3 (80 enodes) 1538422340.948 * * [misc]simplify: iters left: 2 (122 enodes) 1538422340.966 * * [misc]simplify: iters left: 1 (177 enodes) 1538422340.992 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538422340.992 * [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))))) 1538422340.992 * * * * [misc]progress: [ 77 / 310 ] simplifiying candidate # 1538422340.992 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538422340.992 * * [misc]simplify: iters left: 6 (12 enodes) 1538422340.995 * * [misc]simplify: iters left: 5 (21 enodes) 1538422340.998 * * [misc]simplify: iters left: 4 (24 enodes) 1538422341.001 * * [misc]simplify: iters left: 3 (36 enodes) 1538422341.006 * * [misc]simplify: iters left: 2 (42 enodes) 1538422341.011 * * [misc]simplify: iters left: 1 (51 enodes) 1538422341.016 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422341.017 * [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))))))) 1538422341.017 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422341.017 * * [misc]simplify: iters left: 6 (14 enodes) 1538422341.019 * * [misc]simplify: iters left: 5 (24 enodes) 1538422341.022 * * [misc]simplify: iters left: 4 (45 enodes) 1538422341.031 * * [misc]simplify: iters left: 3 (80 enodes) 1538422341.041 * * [misc]simplify: iters left: 2 (122 enodes) 1538422341.057 * * [misc]simplify: iters left: 1 (177 enodes) 1538422341.082 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538422341.082 * [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))))) 1538422341.082 * * * * [misc]progress: [ 78 / 310 ] simplifiying candidate # 1538422341.083 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422341.083 * * [misc]simplify: iters left: 6 (14 enodes) 1538422341.085 * * [misc]simplify: iters left: 5 (23 enodes) 1538422341.090 * * [misc]simplify: iters left: 4 (29 enodes) 1538422341.097 * * [misc]simplify: iters left: 3 (41 enodes) 1538422341.102 * * [misc]simplify: iters left: 2 (47 enodes) 1538422341.109 * * [misc]simplify: iters left: 1 (57 enodes) 1538422341.116 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538422341.116 * [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))))))) 1538422341.116 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422341.116 * * [misc]simplify: iters left: 6 (14 enodes) 1538422341.118 * * [misc]simplify: iters left: 5 (24 enodes) 1538422341.122 * * [misc]simplify: iters left: 4 (46 enodes) 1538422341.128 * * [misc]simplify: iters left: 3 (81 enodes) 1538422341.140 * * [misc]simplify: iters left: 2 (123 enodes) 1538422341.173 * * [misc]simplify: iters left: 1 (178 enodes) 1538422341.226 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422341.226 * [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))))) 1538422341.226 * * * * [misc]progress: [ 79 / 310 ] simplifiying candidate # 1538422341.226 * [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))))))) 1538422341.226 * * [misc]simplify: iters left: 6 (17 enodes) 1538422341.233 * * [misc]simplify: iters left: 5 (29 enodes) 1538422341.241 * * [misc]simplify: iters left: 4 (37 enodes) 1538422341.251 * * [misc]simplify: iters left: 3 (55 enodes) 1538422341.267 * * [misc]simplify: iters left: 2 (74 enodes) 1538422341.288 * * [misc]simplify: iters left: 1 (95 enodes) 1538422341.318 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1538422341.318 * [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)))))))) 1538422341.319 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422341.319 * * [misc]simplify: iters left: 6 (17 enodes) 1538422341.324 * * [misc]simplify: iters left: 5 (28 enodes) 1538422341.332 * * [misc]simplify: iters left: 4 (50 enodes) 1538422341.345 * * [misc]simplify: iters left: 3 (85 enodes) 1538422341.357 * * [misc]simplify: iters left: 2 (127 enodes) 1538422341.375 * * [misc]simplify: iters left: 1 (181 enodes) 1538422341.421 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422341.421 * [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))))) 1538422341.421 * * * * [misc]progress: [ 80 / 310 ] simplifiying candidate # 1538422341.422 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422341.422 * * [misc]simplify: iters left: 6 (16 enodes) 1538422341.427 * * [misc]simplify: iters left: 5 (26 enodes) 1538422341.435 * * [misc]simplify: iters left: 4 (32 enodes) 1538422341.444 * * [misc]simplify: iters left: 3 (44 enodes) 1538422341.455 * * [misc]simplify: iters left: 2 (50 enodes) 1538422341.469 * * [misc]simplify: iters left: 1 (60 enodes) 1538422341.484 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422341.484 * [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)))))))) 1538422341.484 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422341.484 * * [misc]simplify: iters left: 6 (17 enodes) 1538422341.490 * * [misc]simplify: iters left: 5 (28 enodes) 1538422341.498 * * [misc]simplify: iters left: 4 (50 enodes) 1538422341.513 * * [misc]simplify: iters left: 3 (85 enodes) 1538422341.535 * * [misc]simplify: iters left: 2 (127 enodes) 1538422341.564 * * [misc]simplify: iters left: 1 (181 enodes) 1538422341.599 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422341.599 * [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))))) 1538422341.599 * * * * [misc]progress: [ 81 / 310 ] simplifiying candidate # 1538422341.600 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1538422341.600 * * [misc]simplify: iters left: 6 (8 enodes) 1538422341.603 * * [misc]simplify: iters left: 5 (13 enodes) 1538422341.607 * * [misc]simplify: iters left: 4 (14 enodes) 1538422341.610 * * [misc]simplify: iters left: 3 (17 enodes) 1538422341.615 * * [misc]simplify: iters left: 2 (18 enodes) 1538422341.619 * * [misc]simplify: iters left: 1 (20 enodes) 1538422341.623 * [exit]simplify: Simplified to (sqrt PI) 1538422341.623 * [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))))))) 1538422341.623 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422341.624 * * [misc]simplify: iters left: 6 (16 enodes) 1538422341.629 * * [misc]simplify: iters left: 5 (27 enodes) 1538422341.637 * * [misc]simplify: iters left: 4 (49 enodes) 1538422341.649 * * [misc]simplify: iters left: 3 (84 enodes) 1538422341.660 * * [misc]simplify: iters left: 2 (126 enodes) 1538422341.679 * * [misc]simplify: iters left: 1 (181 enodes) 1538422341.731 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422341.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422341.731 * * * * [misc]progress: [ 82 / 310 ] simplifiying candidate # 1538422341.731 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1538422341.731 * * [misc]simplify: iters left: 6 (7 enodes) 1538422341.734 * * [misc]simplify: iters left: 5 (12 enodes) 1538422341.738 * * [misc]simplify: iters left: 4 (17 enodes) 1538422341.741 * * [misc]simplify: iters left: 3 (19 enodes) 1538422341.744 * [exit]simplify: Simplified to (sqrt PI) 1538422341.744 * [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))))))) 1538422341.745 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422341.745 * * [misc]simplify: iters left: 6 (16 enodes) 1538422341.749 * * [misc]simplify: iters left: 5 (27 enodes) 1538422341.756 * * [misc]simplify: iters left: 4 (49 enodes) 1538422341.768 * * [misc]simplify: iters left: 3 (84 enodes) 1538422341.787 * * [misc]simplify: iters left: 2 (126 enodes) 1538422341.804 * * [misc]simplify: iters left: 1 (181 enodes) 1538422341.841 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422341.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422341.841 * * * * [misc]progress: [ 83 / 310 ] simplifiying candidate # 1538422341.841 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1538422341.841 * * [misc]simplify: iters left: 6 (8 enodes) 1538422341.844 * * [misc]simplify: iters left: 5 (11 enodes) 1538422341.847 * * [misc]simplify: iters left: 4 (12 enodes) 1538422341.851 * * [misc]simplify: iters left: 3 (15 enodes) 1538422341.855 * * [misc]simplify: iters left: 2 (16 enodes) 1538422341.858 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538422341.858 * [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))))))) 1538422341.859 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422341.859 * * [misc]simplify: iters left: 6 (16 enodes) 1538422341.861 * * [misc]simplify: iters left: 5 (29 enodes) 1538422341.865 * * [misc]simplify: iters left: 4 (49 enodes) 1538422341.873 * * [misc]simplify: iters left: 3 (91 enodes) 1538422341.889 * * [misc]simplify: iters left: 2 (126 enodes) 1538422341.906 * * [misc]simplify: iters left: 1 (183 enodes) 1538422341.951 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1538422341.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1538422341.952 * * * * [misc]progress: [ 84 / 310 ] simplifiying candidate # 1538422341.952 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422341.952 * * [misc]simplify: iters left: 6 (13 enodes) 1538422341.956 * * [misc]simplify: iters left: 5 (20 enodes) 1538422341.959 * * [misc]simplify: iters left: 4 (24 enodes) 1538422341.962 * * [misc]simplify: iters left: 3 (29 enodes) 1538422341.966 * * [misc]simplify: iters left: 2 (30 enodes) 1538422341.969 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538422341.970 * [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))))) 1538422341.970 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1538422341.970 * * [misc]simplify: iters left: 6 (12 enodes) 1538422341.971 * * [misc]simplify: iters left: 5 (20 enodes) 1538422341.974 * * [misc]simplify: iters left: 4 (38 enodes) 1538422341.979 * * [misc]simplify: iters left: 3 (67 enodes) 1538422341.990 * * [misc]simplify: iters left: 2 (83 enodes) 1538422342.005 * * [misc]simplify: iters left: 1 (93 enodes) 1538422342.024 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538422342.024 * [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))))) 1538422342.024 * * * * [misc]progress: [ 85 / 310 ] simplifiying candidate # 1538422342.024 * [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))))))) 1538422342.025 * * [misc]simplify: iters left: 6 (17 enodes) 1538422342.030 * * [misc]simplify: iters left: 5 (25 enodes) 1538422342.036 * * [misc]simplify: iters left: 4 (29 enodes) 1538422342.043 * * [misc]simplify: iters left: 3 (32 enodes) 1538422342.051 * * [misc]simplify: iters left: 2 (33 enodes) 1538422342.058 * [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))))))) 1538422342.058 * [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)))))))) 1538422342.058 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422342.058 * * [misc]simplify: iters left: 6 (17 enodes) 1538422342.063 * * [misc]simplify: iters left: 5 (26 enodes) 1538422342.069 * * [misc]simplify: iters left: 4 (45 enodes) 1538422342.081 * * [misc]simplify: iters left: 3 (74 enodes) 1538422342.097 * * [misc]simplify: iters left: 2 (90 enodes) 1538422342.115 * * [misc]simplify: iters left: 1 (100 enodes) 1538422342.136 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422342.136 * [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)))))))) 1538422342.137 * * * * [misc]progress: [ 86 / 310 ] simplifiying candidate # 1538422342.137 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422342.137 * * [misc]simplify: iters left: 6 (16 enodes) 1538422342.142 * * [misc]simplify: iters left: 5 (22 enodes) 1538422342.145 * * [misc]simplify: iters left: 4 (26 enodes) 1538422342.148 * * [misc]simplify: iters left: 3 (29 enodes) 1538422342.152 * * [misc]simplify: iters left: 2 (30 enodes) 1538422342.156 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422342.156 * [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)))))))) 1538422342.156 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422342.156 * * [misc]simplify: iters left: 6 (17 enodes) 1538422342.158 * * [misc]simplify: iters left: 5 (26 enodes) 1538422342.162 * * [misc]simplify: iters left: 4 (45 enodes) 1538422342.167 * * [misc]simplify: iters left: 3 (74 enodes) 1538422342.180 * * [misc]simplify: iters left: 2 (90 enodes) 1538422342.198 * * [misc]simplify: iters left: 1 (100 enodes) 1538422342.220 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422342.220 * [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)))))))) 1538422342.220 * * * * [misc]progress: [ 87 / 310 ] simplifiying candidate # 1538422342.220 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422342.220 * * [misc]simplify: iters left: 6 (15 enodes) 1538422342.225 * * [misc]simplify: iters left: 5 (24 enodes) 1538422342.232 * * [misc]simplify: iters left: 4 (32 enodes) 1538422342.241 * * [misc]simplify: iters left: 3 (47 enodes) 1538422342.256 * * [misc]simplify: iters left: 2 (53 enodes) 1538422342.262 * * [misc]simplify: iters left: 1 (60 enodes) 1538422342.269 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538422342.269 * [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))))))) 1538422342.269 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422342.269 * * [misc]simplify: iters left: 6 (15 enodes) 1538422342.271 * * [misc]simplify: iters left: 5 (25 enodes) 1538422342.275 * * [misc]simplify: iters left: 4 (46 enodes) 1538422342.281 * * [misc]simplify: iters left: 3 (81 enodes) 1538422342.291 * * [misc]simplify: iters left: 2 (123 enodes) 1538422342.307 * * [misc]simplify: iters left: 1 (177 enodes) 1538422342.333 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422342.333 * [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)))))) 1538422342.333 * * * * [misc]progress: [ 88 / 310 ] simplifiying candidate # 1538422342.333 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422342.334 * * [misc]simplify: iters left: 6 (15 enodes) 1538422342.336 * * [misc]simplify: iters left: 5 (24 enodes) 1538422342.339 * * [misc]simplify: iters left: 4 (32 enodes) 1538422342.344 * * [misc]simplify: iters left: 3 (47 enodes) 1538422342.353 * * [misc]simplify: iters left: 2 (53 enodes) 1538422342.364 * * [misc]simplify: iters left: 1 (60 enodes) 1538422342.377 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538422342.377 * [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))))))) 1538422342.377 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422342.377 * * [misc]simplify: iters left: 6 (15 enodes) 1538422342.381 * * [misc]simplify: iters left: 5 (25 enodes) 1538422342.388 * * [misc]simplify: iters left: 4 (46 enodes) 1538422342.399 * * [misc]simplify: iters left: 3 (81 enodes) 1538422342.416 * * [misc]simplify: iters left: 2 (123 enodes) 1538422342.448 * * [misc]simplify: iters left: 1 (177 enodes) 1538422342.473 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422342.473 * [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)))))) 1538422342.473 * * * * [misc]progress: [ 89 / 310 ] simplifiying candidate # 1538422342.473 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422342.473 * * [misc]simplify: iters left: 6 (16 enodes) 1538422342.476 * * [misc]simplify: iters left: 5 (25 enodes) 1538422342.480 * * [misc]simplify: iters left: 4 (36 enodes) 1538422342.485 * * [misc]simplify: iters left: 3 (51 enodes) 1538422342.492 * * [misc]simplify: iters left: 2 (57 enodes) 1538422342.501 * * [misc]simplify: iters left: 1 (64 enodes) 1538422342.516 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1538422342.516 * [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))))))) 1538422342.516 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422342.516 * * [misc]simplify: iters left: 6 (15 enodes) 1538422342.523 * * [misc]simplify: iters left: 5 (25 enodes) 1538422342.529 * * [misc]simplify: iters left: 4 (47 enodes) 1538422342.541 * * [misc]simplify: iters left: 3 (82 enodes) 1538422342.559 * * [misc]simplify: iters left: 2 (124 enodes) 1538422342.591 * * [misc]simplify: iters left: 1 (178 enodes) 1538422342.618 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422342.618 * [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)))))) 1538422342.618 * * * * [misc]progress: [ 90 / 310 ] simplifiying candidate # 1538422342.618 * [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))))))) 1538422342.618 * * [misc]simplify: iters left: 6 (19 enodes) 1538422342.621 * * [misc]simplify: iters left: 5 (33 enodes) 1538422342.628 * * [misc]simplify: iters left: 4 (55 enodes) 1538422342.642 * * [misc]simplify: iters left: 3 (83 enodes) 1538422342.667 * * [misc]simplify: iters left: 2 (118 enodes) 1538422342.701 * * [misc]simplify: iters left: 1 (141 enodes) 1538422342.744 * [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)))))) 1538422342.744 * [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)))))))) 1538422342.744 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422342.745 * * [misc]simplify: iters left: 6 (18 enodes) 1538422342.747 * * [misc]simplify: iters left: 5 (29 enodes) 1538422342.753 * * [misc]simplify: iters left: 4 (51 enodes) 1538422342.759 * * [misc]simplify: iters left: 3 (86 enodes) 1538422342.770 * * [misc]simplify: iters left: 2 (128 enodes) 1538422342.790 * * [misc]simplify: iters left: 1 (183 enodes) 1538422342.816 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422342.816 * [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)))))) 1538422342.816 * * * * [misc]progress: [ 91 / 310 ] simplifiying candidate # 1538422342.816 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422342.816 * * [misc]simplify: iters left: 6 (18 enodes) 1538422342.819 * * [misc]simplify: iters left: 5 (28 enodes) 1538422342.829 * * [misc]simplify: iters left: 4 (39 enodes) 1538422342.841 * * [misc]simplify: iters left: 3 (54 enodes) 1538422342.855 * * [misc]simplify: iters left: 2 (60 enodes) 1538422342.869 * * [misc]simplify: iters left: 1 (67 enodes) 1538422342.885 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1538422342.885 * [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)))))))) 1538422342.885 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422342.885 * * [misc]simplify: iters left: 6 (18 enodes) 1538422342.890 * * [misc]simplify: iters left: 5 (29 enodes) 1538422342.897 * * [misc]simplify: iters left: 4 (51 enodes) 1538422342.909 * * [misc]simplify: iters left: 3 (86 enodes) 1538422342.927 * * [misc]simplify: iters left: 2 (128 enodes) 1538422342.945 * * [misc]simplify: iters left: 1 (183 enodes) 1538422342.970 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422342.971 * [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)))))) 1538422342.971 * * * * [misc]progress: [ 92 / 310 ] simplifiying candidate # 1538422342.971 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422342.971 * * [misc]simplify: iters left: 6 (12 enodes) 1538422342.973 * * [misc]simplify: iters left: 5 (21 enodes) 1538422342.977 * * [misc]simplify: iters left: 4 (33 enodes) 1538422342.987 * * [misc]simplify: iters left: 3 (56 enodes) 1538422342.996 * * [misc]simplify: iters left: 2 (119 enodes) 1538422343.021 * * [misc]simplify: iters left: 1 (173 enodes) 1538422343.035 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538422343.035 * [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))))))) 1538422343.035 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422343.035 * * [misc]simplify: iters left: 6 (17 enodes) 1538422343.037 * * [misc]simplify: iters left: 5 (28 enodes) 1538422343.042 * * [misc]simplify: iters left: 4 (50 enodes) 1538422343.048 * * [misc]simplify: iters left: 3 (85 enodes) 1538422343.059 * * [misc]simplify: iters left: 2 (127 enodes) 1538422343.079 * * [misc]simplify: iters left: 1 (181 enodes) 1538422343.106 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538422343.106 * [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)))))) 1538422343.106 * * * * [misc]progress: [ 93 / 310 ] simplifiying candidate # 1538422343.106 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422343.106 * * [misc]simplify: iters left: 6 (14 enodes) 1538422343.109 * * [misc]simplify: iters left: 5 (21 enodes) 1538422343.111 * * [misc]simplify: iters left: 4 (25 enodes) 1538422343.115 * * [misc]simplify: iters left: 3 (30 enodes) 1538422343.119 * * [misc]simplify: iters left: 2 (31 enodes) 1538422343.125 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422343.125 * [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))))))) 1538422343.126 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422343.126 * * [misc]simplify: iters left: 6 (15 enodes) 1538422343.130 * * [misc]simplify: iters left: 5 (25 enodes) 1538422343.138 * * [misc]simplify: iters left: 4 (46 enodes) 1538422343.145 * * [misc]simplify: iters left: 3 (81 enodes) 1538422343.155 * * [misc]simplify: iters left: 2 (123 enodes) 1538422343.173 * * [misc]simplify: iters left: 1 (177 enodes) 1538422343.212 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422343.213 * [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)))))) 1538422343.213 * * * * [misc]progress: [ 94 / 310 ] simplifiying candidate # 1538422343.213 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422343.213 * * [misc]simplify: iters left: 6 (14 enodes) 1538422343.215 * * [misc]simplify: iters left: 5 (21 enodes) 1538422343.218 * * [misc]simplify: iters left: 4 (25 enodes) 1538422343.222 * * [misc]simplify: iters left: 3 (30 enodes) 1538422343.225 * * [misc]simplify: iters left: 2 (31 enodes) 1538422343.229 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422343.229 * [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))))))) 1538422343.229 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422343.229 * * [misc]simplify: iters left: 6 (15 enodes) 1538422343.231 * * [misc]simplify: iters left: 5 (25 enodes) 1538422343.235 * * [misc]simplify: iters left: 4 (46 enodes) 1538422343.241 * * [misc]simplify: iters left: 3 (81 enodes) 1538422343.251 * * [misc]simplify: iters left: 2 (123 enodes) 1538422343.269 * * [misc]simplify: iters left: 1 (177 enodes) 1538422343.293 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422343.293 * [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)))))) 1538422343.293 * * * * [misc]progress: [ 95 / 310 ] simplifiying candidate # 1538422343.293 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422343.293 * * [misc]simplify: iters left: 6 (15 enodes) 1538422343.295 * * [misc]simplify: iters left: 5 (22 enodes) 1538422343.299 * * [misc]simplify: iters left: 4 (29 enodes) 1538422343.302 * * [misc]simplify: iters left: 3 (34 enodes) 1538422343.307 * * [misc]simplify: iters left: 2 (35 enodes) 1538422343.314 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422343.314 * [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))))))) 1538422343.314 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422343.314 * * [misc]simplify: iters left: 6 (15 enodes) 1538422343.318 * * [misc]simplify: iters left: 5 (25 enodes) 1538422343.324 * * [misc]simplify: iters left: 4 (47 enodes) 1538422343.333 * * [misc]simplify: iters left: 3 (82 enodes) 1538422343.345 * * [misc]simplify: iters left: 2 (124 enodes) 1538422343.361 * * [misc]simplify: iters left: 1 (178 enodes) 1538422343.386 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422343.386 * [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)))))) 1538422343.386 * * * * [misc]progress: [ 96 / 310 ] simplifiying candidate # 1538422343.386 * [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))))))) 1538422343.386 * * [misc]simplify: iters left: 6 (18 enodes) 1538422343.389 * * [misc]simplify: iters left: 5 (28 enodes) 1538422343.397 * * [misc]simplify: iters left: 4 (37 enodes) 1538422343.405 * * [misc]simplify: iters left: 3 (49 enodes) 1538422343.412 * * [misc]simplify: iters left: 2 (58 enodes) 1538422343.420 * * [misc]simplify: iters left: 1 (60 enodes) 1538422343.428 * [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))) 1538422343.428 * [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)))))))) 1538422343.428 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422343.428 * * [misc]simplify: iters left: 6 (18 enodes) 1538422343.431 * * [misc]simplify: iters left: 5 (29 enodes) 1538422343.435 * * [misc]simplify: iters left: 4 (51 enodes) 1538422343.442 * * [misc]simplify: iters left: 3 (86 enodes) 1538422343.452 * * [misc]simplify: iters left: 2 (128 enodes) 1538422343.469 * * [misc]simplify: iters left: 1 (183 enodes) 1538422343.497 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422343.497 * [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)))))) 1538422343.497 * * * * [misc]progress: [ 97 / 310 ] simplifiying candidate # 1538422343.497 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422343.498 * * [misc]simplify: iters left: 6 (17 enodes) 1538422343.500 * * [misc]simplify: iters left: 5 (25 enodes) 1538422343.504 * * [misc]simplify: iters left: 4 (32 enodes) 1538422343.508 * * [misc]simplify: iters left: 3 (37 enodes) 1538422343.513 * * [misc]simplify: iters left: 2 (38 enodes) 1538422343.517 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538422343.517 * [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)))))))) 1538422343.517 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422343.517 * * [misc]simplify: iters left: 6 (18 enodes) 1538422343.520 * * [misc]simplify: iters left: 5 (29 enodes) 1538422343.524 * * [misc]simplify: iters left: 4 (51 enodes) 1538422343.531 * * [misc]simplify: iters left: 3 (86 enodes) 1538422343.541 * * [misc]simplify: iters left: 2 (128 enodes) 1538422343.559 * * [misc]simplify: iters left: 1 (183 enodes) 1538422343.584 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422343.585 * [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)))))) 1538422343.585 * * * * [misc]progress: [ 98 / 310 ] simplifiying candidate # 1538422343.585 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1538422343.585 * * [misc]simplify: iters left: 6 (11 enodes) 1538422343.587 * * [misc]simplify: iters left: 5 (18 enodes) 1538422343.590 * * [misc]simplify: iters left: 4 (26 enodes) 1538422343.593 * * [misc]simplify: iters left: 3 (31 enodes) 1538422343.596 * * [misc]simplify: iters left: 2 (32 enodes) 1538422343.599 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538422343.599 * [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))))))) 1538422343.599 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422343.599 * * [misc]simplify: iters left: 6 (17 enodes) 1538422343.602 * * [misc]simplify: iters left: 5 (28 enodes) 1538422343.605 * * [misc]simplify: iters left: 4 (50 enodes) 1538422343.612 * * [misc]simplify: iters left: 3 (85 enodes) 1538422343.622 * * [misc]simplify: iters left: 2 (127 enodes) 1538422343.640 * * [misc]simplify: iters left: 1 (181 enodes) 1538422343.665 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538422343.665 * [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)))))) 1538422343.665 * * * * [misc]progress: [ 99 / 310 ] simplifiying candidate # 1538422343.665 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538422343.665 * * [misc]simplify: iters left: 6 (12 enodes) 1538422343.667 * * [misc]simplify: iters left: 5 (21 enodes) 1538422343.670 * * [misc]simplify: iters left: 4 (24 enodes) 1538422343.674 * * [misc]simplify: iters left: 3 (36 enodes) 1538422343.678 * * [misc]simplify: iters left: 2 (42 enodes) 1538422343.683 * * [misc]simplify: iters left: 1 (51 enodes) 1538422343.689 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422343.689 * [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))))))) 1538422343.689 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422343.689 * * [misc]simplify: iters left: 6 (14 enodes) 1538422343.691 * * [misc]simplify: iters left: 5 (24 enodes) 1538422343.695 * * [misc]simplify: iters left: 4 (45 enodes) 1538422343.702 * * [misc]simplify: iters left: 3 (80 enodes) 1538422343.712 * * [misc]simplify: iters left: 2 (122 enodes) 1538422343.732 * * [misc]simplify: iters left: 1 (177 enodes) 1538422343.761 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538422343.761 * [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))))) 1538422343.761 * * * * [misc]progress: [ 100 / 310 ] simplifiying candidate # 1538422343.761 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538422343.761 * * [misc]simplify: iters left: 6 (12 enodes) 1538422343.763 * * [misc]simplify: iters left: 5 (21 enodes) 1538422343.766 * * [misc]simplify: iters left: 4 (24 enodes) 1538422343.770 * * [misc]simplify: iters left: 3 (36 enodes) 1538422343.776 * * [misc]simplify: iters left: 2 (42 enodes) 1538422343.781 * * [misc]simplify: iters left: 1 (51 enodes) 1538422343.786 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538422343.786 * [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))))))) 1538422343.787 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422343.787 * * [misc]simplify: iters left: 6 (14 enodes) 1538422343.789 * * [misc]simplify: iters left: 5 (24 enodes) 1538422343.792 * * [misc]simplify: iters left: 4 (45 enodes) 1538422343.799 * * [misc]simplify: iters left: 3 (80 enodes) 1538422343.808 * * [misc]simplify: iters left: 2 (122 enodes) 1538422343.824 * * [misc]simplify: iters left: 1 (177 enodes) 1538422343.851 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538422343.851 * [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))))) 1538422343.851 * * * * [misc]progress: [ 101 / 310 ] simplifiying candidate # 1538422343.852 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422343.852 * * [misc]simplify: iters left: 6 (14 enodes) 1538422343.854 * * [misc]simplify: iters left: 5 (23 enodes) 1538422343.857 * * [misc]simplify: iters left: 4 (29 enodes) 1538422343.862 * * [misc]simplify: iters left: 3 (41 enodes) 1538422343.867 * * [misc]simplify: iters left: 2 (47 enodes) 1538422343.872 * * [misc]simplify: iters left: 1 (57 enodes) 1538422343.879 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538422343.879 * [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))))))) 1538422343.879 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422343.879 * * [misc]simplify: iters left: 6 (14 enodes) 1538422343.881 * * [misc]simplify: iters left: 5 (24 enodes) 1538422343.885 * * [misc]simplify: iters left: 4 (46 enodes) 1538422343.891 * * [misc]simplify: iters left: 3 (81 enodes) 1538422343.901 * * [misc]simplify: iters left: 2 (123 enodes) 1538422343.919 * * [misc]simplify: iters left: 1 (178 enodes) 1538422343.944 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422343.944 * [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))))) 1538422343.944 * * * * [misc]progress: [ 102 / 310 ] simplifiying candidate # 1538422343.944 * [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))))))) 1538422343.944 * * [misc]simplify: iters left: 6 (17 enodes) 1538422343.947 * * [misc]simplify: iters left: 5 (29 enodes) 1538422343.951 * * [misc]simplify: iters left: 4 (37 enodes) 1538422343.957 * * [misc]simplify: iters left: 3 (55 enodes) 1538422343.964 * * [misc]simplify: iters left: 2 (74 enodes) 1538422343.974 * * [misc]simplify: iters left: 1 (95 enodes) 1538422343.994 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1538422343.994 * [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)))))))) 1538422343.994 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422343.994 * * [misc]simplify: iters left: 6 (17 enodes) 1538422343.997 * * [misc]simplify: iters left: 5 (28 enodes) 1538422344.001 * * [misc]simplify: iters left: 4 (50 enodes) 1538422344.008 * * [misc]simplify: iters left: 3 (85 enodes) 1538422344.018 * * [misc]simplify: iters left: 2 (127 enodes) 1538422344.034 * * [misc]simplify: iters left: 1 (181 enodes) 1538422344.061 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422344.061 * [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))))) 1538422344.061 * * * * [misc]progress: [ 103 / 310 ] simplifiying candidate # 1538422344.061 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422344.061 * * [misc]simplify: iters left: 6 (16 enodes) 1538422344.064 * * [misc]simplify: iters left: 5 (26 enodes) 1538422344.067 * * [misc]simplify: iters left: 4 (32 enodes) 1538422344.072 * * [misc]simplify: iters left: 3 (44 enodes) 1538422344.078 * * [misc]simplify: iters left: 2 (50 enodes) 1538422344.084 * * [misc]simplify: iters left: 1 (60 enodes) 1538422344.091 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422344.091 * [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)))))))) 1538422344.091 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422344.091 * * [misc]simplify: iters left: 6 (17 enodes) 1538422344.093 * * [misc]simplify: iters left: 5 (28 enodes) 1538422344.097 * * [misc]simplify: iters left: 4 (50 enodes) 1538422344.104 * * [misc]simplify: iters left: 3 (85 enodes) 1538422344.114 * * [misc]simplify: iters left: 2 (127 enodes) 1538422344.131 * * [misc]simplify: iters left: 1 (181 enodes) 1538422344.158 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538422344.158 * [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))))) 1538422344.158 * * * * [misc]progress: [ 104 / 310 ] simplifiying candidate # 1538422344.158 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1538422344.158 * * [misc]simplify: iters left: 6 (8 enodes) 1538422344.160 * * [misc]simplify: iters left: 5 (13 enodes) 1538422344.162 * * [misc]simplify: iters left: 4 (14 enodes) 1538422344.164 * * [misc]simplify: iters left: 3 (17 enodes) 1538422344.167 * * [misc]simplify: iters left: 2 (18 enodes) 1538422344.171 * * [misc]simplify: iters left: 1 (20 enodes) 1538422344.174 * [exit]simplify: Simplified to (sqrt PI) 1538422344.174 * [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))))))) 1538422344.175 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422344.175 * * [misc]simplify: iters left: 6 (16 enodes) 1538422344.179 * * [misc]simplify: iters left: 5 (27 enodes) 1538422344.187 * * [misc]simplify: iters left: 4 (49 enodes) 1538422344.201 * * [misc]simplify: iters left: 3 (84 enodes) 1538422344.221 * * [misc]simplify: iters left: 2 (126 enodes) 1538422344.240 * * [misc]simplify: iters left: 1 (181 enodes) 1538422344.276 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422344.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422344.277 * * * * [misc]progress: [ 105 / 310 ] simplifiying candidate # 1538422344.277 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1538422344.277 * * [misc]simplify: iters left: 6 (7 enodes) 1538422344.280 * * [misc]simplify: iters left: 5 (12 enodes) 1538422344.283 * * [misc]simplify: iters left: 4 (17 enodes) 1538422344.286 * * [misc]simplify: iters left: 3 (19 enodes) 1538422344.289 * [exit]simplify: Simplified to (sqrt PI) 1538422344.289 * [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))))))) 1538422344.290 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422344.290 * * [misc]simplify: iters left: 6 (16 enodes) 1538422344.294 * * [misc]simplify: iters left: 5 (27 enodes) 1538422344.300 * * [misc]simplify: iters left: 4 (49 enodes) 1538422344.312 * * [misc]simplify: iters left: 3 (84 enodes) 1538422344.328 * * [misc]simplify: iters left: 2 (126 enodes) 1538422344.346 * * [misc]simplify: iters left: 1 (181 enodes) 1538422344.377 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422344.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422344.377 * * * * [misc]progress: [ 106 / 310 ] simplifiying candidate # 1538422344.377 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1538422344.377 * * [misc]simplify: iters left: 6 (8 enodes) 1538422344.380 * * [misc]simplify: iters left: 5 (11 enodes) 1538422344.384 * * [misc]simplify: iters left: 4 (12 enodes) 1538422344.387 * * [misc]simplify: iters left: 3 (15 enodes) 1538422344.391 * * [misc]simplify: iters left: 2 (16 enodes) 1538422344.395 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538422344.395 * [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))))))) 1538422344.395 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422344.395 * * [misc]simplify: iters left: 6 (16 enodes) 1538422344.400 * * [misc]simplify: iters left: 5 (29 enodes) 1538422344.409 * * [misc]simplify: iters left: 4 (49 enodes) 1538422344.424 * * [misc]simplify: iters left: 3 (91 enodes) 1538422344.444 * * [misc]simplify: iters left: 2 (126 enodes) 1538422344.461 * * [misc]simplify: iters left: 1 (183 enodes) 1538422344.516 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1538422344.516 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1538422344.517 * * * * [misc]progress: [ 107 / 310 ] simplifiying candidate # 1538422344.517 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422344.517 * * [misc]simplify: iters left: 6 (13 enodes) 1538422344.522 * * [misc]simplify: iters left: 5 (20 enodes) 1538422344.528 * * [misc]simplify: iters left: 4 (24 enodes) 1538422344.534 * * [misc]simplify: iters left: 3 (29 enodes) 1538422344.542 * * [misc]simplify: iters left: 2 (30 enodes) 1538422344.548 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538422344.548 * [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))))) 1538422344.548 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1538422344.549 * * [misc]simplify: iters left: 6 (12 enodes) 1538422344.550 * * [misc]simplify: iters left: 5 (20 enodes) 1538422344.554 * * [misc]simplify: iters left: 4 (38 enodes) 1538422344.561 * * [misc]simplify: iters left: 3 (67 enodes) 1538422344.568 * * [misc]simplify: iters left: 2 (83 enodes) 1538422344.578 * * [misc]simplify: iters left: 1 (93 enodes) 1538422344.598 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538422344.598 * [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))))) 1538422344.598 * * * * [misc]progress: [ 108 / 310 ] simplifiying candidate # 1538422344.598 * [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))))))) 1538422344.599 * * [misc]simplify: iters left: 6 (19 enodes) 1538422344.604 * * [misc]simplify: iters left: 5 (32 enodes) 1538422344.612 * * [misc]simplify: iters left: 4 (50 enodes) 1538422344.625 * * [misc]simplify: iters left: 3 (71 enodes) 1538422344.642 * * [misc]simplify: iters left: 2 (115 enodes) 1538422344.670 * * [misc]simplify: iters left: 1 (155 enodes) 1538422344.698 * [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))))))) 1538422344.698 * [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)))))))) 1538422344.698 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422344.698 * * [misc]simplify: iters left: 6 (17 enodes) 1538422344.703 * * [misc]simplify: iters left: 5 (24 enodes) 1538422344.709 * * [misc]simplify: iters left: 4 (33 enodes) 1538422344.717 * * [misc]simplify: iters left: 3 (51 enodes) 1538422344.730 * * [misc]simplify: iters left: 2 (92 enodes) 1538422344.752 * * [misc]simplify: iters left: 1 (132 enodes) 1538422344.776 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422344.776 * [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)))))))) 1538422344.776 * * * * [misc]progress: [ 109 / 310 ] simplifiying candidate # 1538422344.776 * [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)))))) 1538422344.776 * * [misc]simplify: iters left: 6 (18 enodes) 1538422344.781 * * [misc]simplify: iters left: 5 (27 enodes) 1538422344.788 * * [misc]simplify: iters left: 4 (38 enodes) 1538422344.799 * * [misc]simplify: iters left: 3 (57 enodes) 1538422344.813 * * [misc]simplify: iters left: 2 (98 enodes) 1538422344.836 * * [misc]simplify: iters left: 1 (138 enodes) 1538422344.861 * [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)))))) 1538422344.861 * [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)))))))) 1538422344.862 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422344.862 * * [misc]simplify: iters left: 6 (17 enodes) 1538422344.866 * * [misc]simplify: iters left: 5 (24 enodes) 1538422344.872 * * [misc]simplify: iters left: 4 (33 enodes) 1538422344.880 * * [misc]simplify: iters left: 3 (51 enodes) 1538422344.894 * * [misc]simplify: iters left: 2 (92 enodes) 1538422344.919 * * [misc]simplify: iters left: 1 (132 enodes) 1538422344.935 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422344.935 * [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)))))))) 1538422344.935 * * * * [misc]progress: [ 110 / 310 ] simplifiying candidate # 1538422344.935 * [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))) 1538422344.935 * * [misc]simplify: iters left: 6 (19 enodes) 1538422344.938 * * [misc]simplify: iters left: 5 (33 enodes) 1538422344.943 * * [misc]simplify: iters left: 4 (57 enodes) 1538422344.957 * * [misc]simplify: iters left: 3 (116 enodes) 1538422344.997 * * [misc]simplify: iters left: 2 (210 enodes) 1538422345.068 * * [misc]simplify: iters left: 1 (279 enodes) 1538422345.121 * [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)))))) 1538422345.121 * [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))))))) 1538422345.121 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422345.121 * * [misc]simplify: iters left: 6 (18 enodes) 1538422345.126 * * [misc]simplify: iters left: 5 (28 enodes) 1538422345.134 * * [misc]simplify: iters left: 4 (38 enodes) 1538422345.147 * * [misc]simplify: iters left: 3 (58 enodes) 1538422345.163 * * [misc]simplify: iters left: 2 (99 enodes) 1538422345.189 * * [misc]simplify: iters left: 1 (139 enodes) 1538422345.217 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422345.217 * [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)))))) 1538422345.217 * * * * [misc]progress: [ 111 / 310 ] simplifiying candidate # 1538422345.218 * [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))) 1538422345.218 * * [misc]simplify: iters left: 6 (19 enodes) 1538422345.220 * * [misc]simplify: iters left: 5 (33 enodes) 1538422345.225 * * [misc]simplify: iters left: 4 (57 enodes) 1538422345.235 * * [misc]simplify: iters left: 3 (116 enodes) 1538422345.256 * * [misc]simplify: iters left: 2 (210 enodes) 1538422345.318 * * [misc]simplify: iters left: 1 (279 enodes) 1538422345.392 * [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)))))) 1538422345.392 * [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))))))) 1538422345.392 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422345.392 * * [misc]simplify: iters left: 6 (18 enodes) 1538422345.395 * * [misc]simplify: iters left: 5 (28 enodes) 1538422345.399 * * [misc]simplify: iters left: 4 (38 enodes) 1538422345.404 * * [misc]simplify: iters left: 3 (58 enodes) 1538422345.412 * * [misc]simplify: iters left: 2 (99 enodes) 1538422345.425 * * [misc]simplify: iters left: 1 (139 enodes) 1538422345.439 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422345.439 * [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)))))) 1538422345.439 * * * * [misc]progress: [ 112 / 310 ] simplifiying candidate # 1538422345.440 * [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))))) 1538422345.440 * * [misc]simplify: iters left: 6 (18 enodes) 1538422345.444 * * [misc]simplify: iters left: 5 (30 enodes) 1538422345.448 * * [misc]simplify: iters left: 4 (54 enodes) 1538422345.456 * * [misc]simplify: iters left: 3 (113 enodes) 1538422345.476 * * [misc]simplify: iters left: 2 (209 enodes) 1538422345.512 * * [misc]simplify: iters left: 1 (278 enodes) 1538422345.552 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538422345.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538422345.552 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422345.552 * * [misc]simplify: iters left: 6 (15 enodes) 1538422345.554 * * [misc]simplify: iters left: 5 (23 enodes) 1538422345.557 * * [misc]simplify: iters left: 4 (35 enodes) 1538422345.562 * * [misc]simplify: iters left: 3 (55 enodes) 1538422345.570 * * [misc]simplify: iters left: 2 (96 enodes) 1538422345.595 * * [misc]simplify: iters left: 1 (136 enodes) 1538422345.619 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422345.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538422345.620 * * * * [misc]progress: [ 113 / 310 ] simplifiying candidate # 1538422345.620 * [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))))))) 1538422345.620 * * [misc]simplify: iters left: 6 (21 enodes) 1538422345.626 * * [misc]simplify: iters left: 5 (38 enodes) 1538422345.634 * * [misc]simplify: iters left: 4 (78 enodes) 1538422345.647 * * [misc]simplify: iters left: 3 (167 enodes) 1538422345.693 * * [misc]simplify: iters left: 2 (334 enodes) 1538422345.784 * * [misc]simplify: iters left: 1 (485 enodes) 1538422345.929 * [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)))))) 1538422345.929 * [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)))))))) 1538422345.929 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422345.929 * * [misc]simplify: iters left: 6 (18 enodes) 1538422345.932 * * [misc]simplify: iters left: 5 (27 enodes) 1538422345.936 * * [misc]simplify: iters left: 4 (39 enodes) 1538422345.941 * * [misc]simplify: iters left: 3 (59 enodes) 1538422345.954 * * [misc]simplify: iters left: 2 (100 enodes) 1538422345.978 * * [misc]simplify: iters left: 1 (140 enodes) 1538422346.000 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422346.000 * [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))))) 1538422346.000 * * * * [misc]progress: [ 114 / 310 ] simplifiying candidate # 1538422346.000 * [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)))))) 1538422346.000 * * [misc]simplify: iters left: 6 (20 enodes) 1538422346.004 * * [misc]simplify: iters left: 5 (33 enodes) 1538422346.008 * * [misc]simplify: iters left: 4 (57 enodes) 1538422346.017 * * [misc]simplify: iters left: 3 (116 enodes) 1538422346.044 * * [misc]simplify: iters left: 2 (212 enodes) 1538422346.095 * * [misc]simplify: iters left: 1 (281 enodes) 1538422346.137 * [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)))))) 1538422346.137 * [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)))))))) 1538422346.137 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422346.138 * * [misc]simplify: iters left: 6 (18 enodes) 1538422346.140 * * [misc]simplify: iters left: 5 (27 enodes) 1538422346.144 * * [misc]simplify: iters left: 4 (39 enodes) 1538422346.151 * * [misc]simplify: iters left: 3 (59 enodes) 1538422346.161 * * [misc]simplify: iters left: 2 (100 enodes) 1538422346.174 * * [misc]simplify: iters left: 1 (140 enodes) 1538422346.204 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422346.204 * [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))))) 1538422346.204 * * * * [misc]progress: [ 115 / 310 ] simplifiying candidate # 1538422346.205 * [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)) 1538422346.205 * * [misc]simplify: iters left: 6 (17 enodes) 1538422346.210 * * [misc]simplify: iters left: 5 (31 enodes) 1538422346.219 * * [misc]simplify: iters left: 4 (58 enodes) 1538422346.235 * * [misc]simplify: iters left: 3 (100 enodes) 1538422346.264 * * [misc]simplify: iters left: 2 (209 enodes) 1538422346.321 * * [misc]simplify: iters left: 1 (326 enodes) 1538422346.392 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538422346.392 * [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))))))) 1538422346.393 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422346.393 * * [misc]simplify: iters left: 6 (17 enodes) 1538422346.398 * * [misc]simplify: iters left: 5 (26 enodes) 1538422346.402 * * [misc]simplify: iters left: 4 (38 enodes) 1538422346.407 * * [misc]simplify: iters left: 3 (58 enodes) 1538422346.415 * * [misc]simplify: iters left: 2 (99 enodes) 1538422346.428 * * [misc]simplify: iters left: 1 (139 enodes) 1538422346.449 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422346.449 * [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))))))) 1538422346.449 * * * * [misc]progress: [ 116 / 310 ] simplifiying candidate # 1538422346.449 * [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))) 1538422346.449 * * [misc]simplify: iters left: 6 (18 enodes) 1538422346.455 * * [misc]simplify: iters left: 5 (30 enodes) 1538422346.463 * * [misc]simplify: iters left: 4 (46 enodes) 1538422346.470 * * [misc]simplify: iters left: 3 (76 enodes) 1538422346.481 * * [misc]simplify: iters left: 2 (129 enodes) 1538422346.499 * * [misc]simplify: iters left: 1 (175 enodes) 1538422346.538 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538422346.538 * [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))))))) 1538422346.539 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422346.539 * * [misc]simplify: iters left: 6 (18 enodes) 1538422346.544 * * [misc]simplify: iters left: 5 (28 enodes) 1538422346.552 * * [misc]simplify: iters left: 4 (38 enodes) 1538422346.563 * * [misc]simplify: iters left: 3 (58 enodes) 1538422346.578 * * [misc]simplify: iters left: 2 (99 enodes) 1538422346.606 * * [misc]simplify: iters left: 1 (139 enodes) 1538422346.634 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422346.634 * [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)))))) 1538422346.634 * * * * [misc]progress: [ 117 / 310 ] simplifiying candidate # 1538422346.634 * [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))) 1538422346.635 * * [misc]simplify: iters left: 6 (18 enodes) 1538422346.640 * * [misc]simplify: iters left: 5 (30 enodes) 1538422346.649 * * [misc]simplify: iters left: 4 (46 enodes) 1538422346.662 * * [misc]simplify: iters left: 3 (76 enodes) 1538422346.684 * * [misc]simplify: iters left: 2 (129 enodes) 1538422346.719 * * [misc]simplify: iters left: 1 (175 enodes) 1538422346.746 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538422346.746 * [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))))))) 1538422346.746 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422346.747 * * [misc]simplify: iters left: 6 (18 enodes) 1538422346.749 * * [misc]simplify: iters left: 5 (28 enodes) 1538422346.753 * * [misc]simplify: iters left: 4 (38 enodes) 1538422346.758 * * [misc]simplify: iters left: 3 (58 enodes) 1538422346.766 * * [misc]simplify: iters left: 2 (99 enodes) 1538422346.779 * * [misc]simplify: iters left: 1 (139 enodes) 1538422346.793 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422346.793 * [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)))))) 1538422346.793 * * * * [misc]progress: [ 118 / 310 ] simplifiying candidate # 1538422346.793 * [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))))) 1538422346.793 * * [misc]simplify: iters left: 6 (17 enodes) 1538422346.796 * * [misc]simplify: iters left: 5 (27 enodes) 1538422346.799 * * [misc]simplify: iters left: 4 (43 enodes) 1538422346.805 * * [misc]simplify: iters left: 3 (73 enodes) 1538422346.818 * * [misc]simplify: iters left: 2 (126 enodes) 1538422346.849 * * [misc]simplify: iters left: 1 (172 enodes) 1538422346.884 * [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)))))) 1538422346.884 * [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))))))) 1538422346.884 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422346.885 * * [misc]simplify: iters left: 6 (15 enodes) 1538422346.889 * * [misc]simplify: iters left: 5 (23 enodes) 1538422346.895 * * [misc]simplify: iters left: 4 (35 enodes) 1538422346.904 * * [misc]simplify: iters left: 3 (55 enodes) 1538422346.917 * * [misc]simplify: iters left: 2 (96 enodes) 1538422346.942 * * [misc]simplify: iters left: 1 (136 enodes) 1538422346.958 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422346.958 * [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))))))) 1538422346.958 * * * * [misc]progress: [ 119 / 310 ] simplifiying candidate # 1538422346.958 * [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))))))) 1538422346.959 * * [misc]simplify: iters left: 6 (20 enodes) 1538422346.961 * * [misc]simplify: iters left: 5 (33 enodes) 1538422346.966 * * [misc]simplify: iters left: 4 (53 enodes) 1538422346.974 * * [misc]simplify: iters left: 3 (97 enodes) 1538422346.989 * * [misc]simplify: iters left: 2 (177 enodes) 1538422347.018 * * [misc]simplify: iters left: 1 (248 enodes) 1538422347.050 * [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))) 1538422347.050 * [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)))))))) 1538422347.050 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422347.050 * * [misc]simplify: iters left: 6 (18 enodes) 1538422347.053 * * [misc]simplify: iters left: 5 (27 enodes) 1538422347.056 * * [misc]simplify: iters left: 4 (39 enodes) 1538422347.062 * * [misc]simplify: iters left: 3 (59 enodes) 1538422347.070 * * [misc]simplify: iters left: 2 (100 enodes) 1538422347.093 * * [misc]simplify: iters left: 1 (140 enodes) 1538422347.118 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422347.118 * [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))))) 1538422347.118 * * * * [misc]progress: [ 120 / 310 ] simplifiying candidate # 1538422347.118 * [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)))))) 1538422347.118 * * [misc]simplify: iters left: 6 (19 enodes) 1538422347.123 * * [misc]simplify: iters left: 5 (30 enodes) 1538422347.129 * * [misc]simplify: iters left: 4 (46 enodes) 1538422347.136 * * [misc]simplify: iters left: 3 (76 enodes) 1538422347.146 * * [misc]simplify: iters left: 2 (129 enodes) 1538422347.163 * * [misc]simplify: iters left: 1 (175 enodes) 1538422347.196 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422347.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538422347.196 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422347.196 * * [misc]simplify: iters left: 6 (18 enodes) 1538422347.201 * * [misc]simplify: iters left: 5 (27 enodes) 1538422347.207 * * [misc]simplify: iters left: 4 (39 enodes) 1538422347.217 * * [misc]simplify: iters left: 3 (59 enodes) 1538422347.229 * * [misc]simplify: iters left: 2 (100 enodes) 1538422347.251 * * [misc]simplify: iters left: 1 (140 enodes) 1538422347.276 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422347.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538422347.277 * * * * [misc]progress: [ 121 / 310 ] simplifiying candidate # 1538422347.277 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1538422347.277 * * [misc]simplify: iters left: 6 (16 enodes) 1538422347.281 * * [misc]simplify: iters left: 5 (28 enodes) 1538422347.290 * * [misc]simplify: iters left: 4 (45 enodes) 1538422347.300 * * [misc]simplify: iters left: 3 (74 enodes) 1538422347.317 * * [misc]simplify: iters left: 2 (115 enodes) 1538422347.340 * * [misc]simplify: iters left: 1 (159 enodes) 1538422347.367 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422347.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422347.368 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422347.368 * * [misc]simplify: iters left: 6 (17 enodes) 1538422347.372 * * [misc]simplify: iters left: 5 (26 enodes) 1538422347.378 * * [misc]simplify: iters left: 4 (38 enodes) 1538422347.387 * * [misc]simplify: iters left: 3 (58 enodes) 1538422347.400 * * [misc]simplify: iters left: 2 (99 enodes) 1538422347.425 * * [misc]simplify: iters left: 1 (139 enodes) 1538422347.449 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422347.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538422347.449 * * * * [misc]progress: [ 122 / 310 ] simplifiying candidate # 1538422347.450 * [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))) 1538422347.450 * * [misc]simplify: iters left: 6 (17 enodes) 1538422347.454 * * [misc]simplify: iters left: 5 (31 enodes) 1538422347.461 * * [misc]simplify: iters left: 4 (47 enodes) 1538422347.473 * * [misc]simplify: iters left: 3 (80 enodes) 1538422347.494 * * [misc]simplify: iters left: 2 (143 enodes) 1538422347.531 * * [misc]simplify: iters left: 1 (242 enodes) 1538422347.580 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538422347.580 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422347.581 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422347.581 * * [misc]simplify: iters left: 6 (17 enodes) 1538422347.586 * * [misc]simplify: iters left: 5 (27 enodes) 1538422347.594 * * [misc]simplify: iters left: 4 (37 enodes) 1538422347.602 * * [misc]simplify: iters left: 3 (57 enodes) 1538422347.610 * * [misc]simplify: iters left: 2 (98 enodes) 1538422347.625 * * [misc]simplify: iters left: 1 (138 enodes) 1538422347.651 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422347.651 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538422347.651 * * * * [misc]progress: [ 123 / 310 ] simplifiying candidate # 1538422347.651 * [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))) 1538422347.651 * * [misc]simplify: iters left: 6 (17 enodes) 1538422347.654 * * [misc]simplify: iters left: 5 (31 enodes) 1538422347.658 * * [misc]simplify: iters left: 4 (47 enodes) 1538422347.665 * * [misc]simplify: iters left: 3 (80 enodes) 1538422347.677 * * [misc]simplify: iters left: 2 (143 enodes) 1538422347.715 * * [misc]simplify: iters left: 1 (242 enodes) 1538422347.788 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538422347.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422347.788 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422347.788 * * [misc]simplify: iters left: 6 (17 enodes) 1538422347.791 * * [misc]simplify: iters left: 5 (27 enodes) 1538422347.794 * * [misc]simplify: iters left: 4 (37 enodes) 1538422347.800 * * [misc]simplify: iters left: 3 (57 enodes) 1538422347.808 * * [misc]simplify: iters left: 2 (98 enodes) 1538422347.821 * * [misc]simplify: iters left: 1 (138 enodes) 1538422347.842 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422347.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538422347.842 * * * * [misc]progress: [ 124 / 310 ] simplifiying candidate # 1538422347.843 * [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))))) 1538422347.843 * * [misc]simplify: iters left: 6 (16 enodes) 1538422347.848 * * [misc]simplify: iters left: 5 (28 enodes) 1538422347.856 * * [misc]simplify: iters left: 4 (44 enodes) 1538422347.863 * * [misc]simplify: iters left: 3 (77 enodes) 1538422347.875 * * [misc]simplify: iters left: 2 (165 enodes) 1538422347.913 * * [misc]simplify: iters left: 1 (333 enodes) 1538422348.003 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538422348.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538422348.003 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422348.004 * * [misc]simplify: iters left: 6 (14 enodes) 1538422348.008 * * [misc]simplify: iters left: 5 (22 enodes) 1538422348.014 * * [misc]simplify: iters left: 4 (34 enodes) 1538422348.024 * * [misc]simplify: iters left: 3 (54 enodes) 1538422348.039 * * [misc]simplify: iters left: 2 (95 enodes) 1538422348.064 * * [misc]simplify: iters left: 1 (135 enodes) 1538422348.090 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422348.090 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538422348.090 * * * * [misc]progress: [ 125 / 310 ] simplifiying candidate # 1538422348.091 * [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))))))) 1538422348.091 * * [misc]simplify: iters left: 6 (19 enodes) 1538422348.097 * * [misc]simplify: iters left: 5 (34 enodes) 1538422348.106 * * [misc]simplify: iters left: 4 (54 enodes) 1538422348.122 * * [misc]simplify: iters left: 3 (99 enodes) 1538422348.146 * * [misc]simplify: iters left: 2 (208 enodes) 1538422348.205 * * [misc]simplify: iters left: 1 (492 enodes) 1538422348.546 * [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)))))) 1538422348.546 * [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)))))))) 1538422348.546 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422348.546 * * [misc]simplify: iters left: 6 (17 enodes) 1538422348.549 * * [misc]simplify: iters left: 5 (26 enodes) 1538422348.553 * * [misc]simplify: iters left: 4 (38 enodes) 1538422348.558 * * [misc]simplify: iters left: 3 (58 enodes) 1538422348.569 * * [misc]simplify: iters left: 2 (99 enodes) 1538422348.593 * * [misc]simplify: iters left: 1 (139 enodes) 1538422348.623 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422348.623 * [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))))))) 1538422348.623 * * * * [misc]progress: [ 126 / 310 ] simplifiying candidate # 1538422348.624 * [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)))))) 1538422348.624 * * [misc]simplify: iters left: 6 (18 enodes) 1538422348.630 * * [misc]simplify: iters left: 5 (31 enodes) 1538422348.638 * * [misc]simplify: iters left: 4 (47 enodes) 1538422348.653 * * [misc]simplify: iters left: 3 (80 enodes) 1538422348.677 * * [misc]simplify: iters left: 2 (143 enodes) 1538422348.704 * * [misc]simplify: iters left: 1 (241 enodes) 1538422348.745 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422348.745 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538422348.746 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422348.746 * * [misc]simplify: iters left: 6 (17 enodes) 1538422348.750 * * [misc]simplify: iters left: 5 (26 enodes) 1538422348.758 * * [misc]simplify: iters left: 4 (38 enodes) 1538422348.769 * * [misc]simplify: iters left: 3 (58 enodes) 1538422348.785 * * [misc]simplify: iters left: 2 (99 enodes) 1538422348.813 * * [misc]simplify: iters left: 1 (139 enodes) 1538422348.840 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422348.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422348.840 * * * * [misc]progress: [ 127 / 310 ] simplifiying candidate # 1538422348.841 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 1)) 1538422348.841 * * [misc]simplify: iters left: 6 (14 enodes) 1538422348.843 * * [misc]simplify: iters left: 5 (24 enodes) 1538422348.846 * * [misc]simplify: iters left: 4 (33 enodes) 1538422348.851 * * [misc]simplify: iters left: 3 (59 enodes) 1538422348.859 * * [misc]simplify: iters left: 2 (111 enodes) 1538422348.874 * * [misc]simplify: iters left: 1 (177 enodes) 1538422348.909 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422348.909 * [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))))))) 1538422348.909 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422348.910 * * [misc]simplify: iters left: 6 (16 enodes) 1538422348.912 * * [misc]simplify: iters left: 5 (25 enodes) 1538422348.915 * * [misc]simplify: iters left: 4 (37 enodes) 1538422348.920 * * [misc]simplify: iters left: 3 (57 enodes) 1538422348.928 * * [misc]simplify: iters left: 2 (98 enodes) 1538422348.941 * * [misc]simplify: iters left: 1 (138 enodes) 1538422348.969 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422348.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422348.969 * * * * [misc]progress: [ 128 / 310 ] simplifiying candidate # 1538422348.969 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1) 1538422348.969 * * [misc]simplify: iters left: 6 (13 enodes) 1538422348.973 * * [misc]simplify: iters left: 5 (23 enodes) 1538422348.980 * * [misc]simplify: iters left: 4 (38 enodes) 1538422348.989 * * [misc]simplify: iters left: 3 (58 enodes) 1538422349.004 * * [misc]simplify: iters left: 2 (103 enodes) 1538422349.018 * * [misc]simplify: iters left: 1 (141 enodes) 1538422349.031 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422349.031 * [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))))))) 1538422349.031 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422349.031 * * [misc]simplify: iters left: 6 (16 enodes) 1538422349.034 * * [misc]simplify: iters left: 5 (25 enodes) 1538422349.037 * * [misc]simplify: iters left: 4 (37 enodes) 1538422349.042 * * [misc]simplify: iters left: 3 (57 enodes) 1538422349.050 * * [misc]simplify: iters left: 2 (98 enodes) 1538422349.063 * * [misc]simplify: iters left: 1 (138 enodes) 1538422349.079 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422349.079 * [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))))))) 1538422349.079 * * * * [misc]progress: [ 129 / 310 ] simplifiying candidate # 1538422349.079 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt k)) 1538422349.079 * * [misc]simplify: iters left: 6 (13 enodes) 1538422349.081 * * [misc]simplify: iters left: 5 (21 enodes) 1538422349.084 * * [misc]simplify: iters left: 4 (32 enodes) 1538422349.089 * * [misc]simplify: iters left: 3 (51 enodes) 1538422349.096 * * [misc]simplify: iters left: 2 (92 enodes) 1538422349.108 * * [misc]simplify: iters left: 1 (132 enodes) 1538422349.121 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422349.122 * [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))))))) 1538422349.122 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422349.122 * * [misc]simplify: iters left: 6 (16 enodes) 1538422349.124 * * [misc]simplify: iters left: 5 (27 enodes) 1538422349.128 * * [misc]simplify: iters left: 4 (39 enodes) 1538422349.134 * * [misc]simplify: iters left: 3 (67 enodes) 1538422349.143 * * [misc]simplify: iters left: 2 (109 enodes) 1538422349.157 * * [misc]simplify: iters left: 1 (152 enodes) 1538422349.173 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422349.173 * [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))))))) 1538422349.173 * * * * [misc]progress: [ 130 / 310 ] simplifiying candidate # 1538422349.173 * [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))) 1538422349.173 * * [misc]simplify: iters left: 6 (17 enodes) 1538422349.176 * * [misc]simplify: iters left: 5 (29 enodes) 1538422349.180 * * [misc]simplify: iters left: 4 (45 enodes) 1538422349.186 * * [misc]simplify: iters left: 3 (75 enodes) 1538422349.197 * * [misc]simplify: iters left: 2 (128 enodes) 1538422349.228 * * [misc]simplify: iters left: 1 (174 enodes) 1538422349.250 * [exit]simplify: Simplified to (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 1538422349.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1538422349.250 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1538422349.250 * * [misc]simplify: iters left: 6 (14 enodes) 1538422349.252 * * [misc]simplify: iters left: 5 (21 enodes) 1538422349.255 * * [misc]simplify: iters left: 4 (30 enodes) 1538422349.259 * * [misc]simplify: iters left: 3 (48 enodes) 1538422349.266 * * [misc]simplify: iters left: 2 (89 enodes) 1538422349.281 * * [misc]simplify: iters left: 1 (129 enodes) 1538422349.294 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1538422349.294 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1538422349.294 * * * * [misc]progress: [ 131 / 310 ] simplifiying candidate # 1538422349.294 * [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))))))) 1538422349.294 * * [misc]simplify: iters left: 6 (18 enodes) 1538422349.297 * * [misc]simplify: iters left: 5 (27 enodes) 1538422349.300 * * [misc]simplify: iters left: 4 (36 enodes) 1538422349.307 * * [misc]simplify: iters left: 3 (54 enodes) 1538422349.319 * * [misc]simplify: iters left: 2 (95 enodes) 1538422349.331 * * [misc]simplify: iters left: 1 (135 enodes) 1538422349.346 * [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))))))) 1538422349.346 * [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)))))))) 1538422349.346 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422349.346 * * [misc]simplify: iters left: 6 (17 enodes) 1538422349.349 * * [misc]simplify: iters left: 5 (24 enodes) 1538422349.352 * * [misc]simplify: iters left: 4 (33 enodes) 1538422349.356 * * [misc]simplify: iters left: 3 (51 enodes) 1538422349.364 * * [misc]simplify: iters left: 2 (92 enodes) 1538422349.376 * * [misc]simplify: iters left: 1 (132 enodes) 1538422349.393 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422349.393 * [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)))))))) 1538422349.393 * * * * [misc]progress: [ 132 / 310 ] simplifiying candidate # 1538422349.394 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422349.394 * * [misc]simplify: iters left: 6 (17 enodes) 1538422349.396 * * [misc]simplify: iters left: 5 (24 enodes) 1538422349.399 * * [misc]simplify: iters left: 4 (33 enodes) 1538422349.408 * * [misc]simplify: iters left: 3 (51 enodes) 1538422349.415 * * [misc]simplify: iters left: 2 (92 enodes) 1538422349.427 * * [misc]simplify: iters left: 1 (132 enodes) 1538422349.441 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422349.441 * [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)))))))) 1538422349.441 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422349.441 * * [misc]simplify: iters left: 6 (17 enodes) 1538422349.444 * * [misc]simplify: iters left: 5 (24 enodes) 1538422349.447 * * [misc]simplify: iters left: 4 (33 enodes) 1538422349.451 * * [misc]simplify: iters left: 3 (51 enodes) 1538422349.460 * * [misc]simplify: iters left: 2 (92 enodes) 1538422349.472 * * [misc]simplify: iters left: 1 (132 enodes) 1538422349.486 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422349.486 * [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)))))))) 1538422349.486 * * * * [misc]progress: [ 133 / 310 ] simplifiying candidate # 1538422349.486 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422349.486 * * [misc]simplify: iters left: 6 (18 enodes) 1538422349.489 * * [misc]simplify: iters left: 5 (30 enodes) 1538422349.493 * * [misc]simplify: iters left: 4 (46 enodes) 1538422349.499 * * [misc]simplify: iters left: 3 (76 enodes) 1538422349.510 * * [misc]simplify: iters left: 2 (122 enodes) 1538422349.531 * * [misc]simplify: iters left: 1 (169 enodes) 1538422349.565 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1538422349.565 * [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))))))) 1538422349.565 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422349.565 * * [misc]simplify: iters left: 6 (18 enodes) 1538422349.570 * * [misc]simplify: iters left: 5 (28 enodes) 1538422349.574 * * [misc]simplify: iters left: 4 (38 enodes) 1538422349.580 * * [misc]simplify: iters left: 3 (58 enodes) 1538422349.587 * * [misc]simplify: iters left: 2 (99 enodes) 1538422349.600 * * [misc]simplify: iters left: 1 (139 enodes) 1538422349.615 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422349.615 * [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)))))) 1538422349.615 * * * * [misc]progress: [ 134 / 310 ] simplifiying candidate # 1538422349.615 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422349.615 * * [misc]simplify: iters left: 6 (18 enodes) 1538422349.620 * * [misc]simplify: iters left: 5 (30 enodes) 1538422349.628 * * [misc]simplify: iters left: 4 (46 enodes) 1538422349.634 * * [misc]simplify: iters left: 3 (76 enodes) 1538422349.647 * * [misc]simplify: iters left: 2 (122 enodes) 1538422349.662 * * [misc]simplify: iters left: 1 (169 enodes) 1538422349.680 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1538422349.680 * [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))))))) 1538422349.680 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422349.681 * * [misc]simplify: iters left: 6 (18 enodes) 1538422349.683 * * [misc]simplify: iters left: 5 (28 enodes) 1538422349.687 * * [misc]simplify: iters left: 4 (38 enodes) 1538422349.692 * * [misc]simplify: iters left: 3 (58 enodes) 1538422349.701 * * [misc]simplify: iters left: 2 (99 enodes) 1538422349.714 * * [misc]simplify: iters left: 1 (139 enodes) 1538422349.728 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422349.728 * [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)))))) 1538422349.728 * * * * [misc]progress: [ 135 / 310 ] simplifiying candidate # 1538422349.729 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422349.729 * * [misc]simplify: iters left: 6 (17 enodes) 1538422349.731 * * [misc]simplify: iters left: 5 (27 enodes) 1538422349.735 * * [misc]simplify: iters left: 4 (43 enodes) 1538422349.741 * * [misc]simplify: iters left: 3 (73 enodes) 1538422349.751 * * [misc]simplify: iters left: 2 (119 enodes) 1538422349.782 * * [misc]simplify: iters left: 1 (166 enodes) 1538422349.809 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422349.809 * [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))))))) 1538422349.810 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422349.810 * * [misc]simplify: iters left: 6 (15 enodes) 1538422349.812 * * [misc]simplify: iters left: 5 (23 enodes) 1538422349.815 * * [misc]simplify: iters left: 4 (35 enodes) 1538422349.820 * * [misc]simplify: iters left: 3 (55 enodes) 1538422349.827 * * [misc]simplify: iters left: 2 (96 enodes) 1538422349.840 * * [misc]simplify: iters left: 1 (136 enodes) 1538422349.854 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422349.854 * [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))))))) 1538422349.854 * * * * [misc]progress: [ 136 / 310 ] simplifiying candidate # 1538422349.854 * [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))))))) 1538422349.854 * * [misc]simplify: iters left: 6 (20 enodes) 1538422349.857 * * [misc]simplify: iters left: 5 (35 enodes) 1538422349.863 * * [misc]simplify: iters left: 4 (62 enodes) 1538422349.872 * * [misc]simplify: iters left: 3 (105 enodes) 1538422349.889 * * [misc]simplify: iters left: 2 (180 enodes) 1538422349.915 * * [misc]simplify: iters left: 1 (243 enodes) 1538422349.949 * [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)))))) 1538422349.949 * [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)))))))) 1538422349.950 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422349.950 * * [misc]simplify: iters left: 6 (18 enodes) 1538422349.952 * * [misc]simplify: iters left: 5 (27 enodes) 1538422349.956 * * [misc]simplify: iters left: 4 (39 enodes) 1538422349.961 * * [misc]simplify: iters left: 3 (59 enodes) 1538422349.971 * * [misc]simplify: iters left: 2 (100 enodes) 1538422349.989 * * [misc]simplify: iters left: 1 (140 enodes) 1538422350.003 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422350.003 * [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))))) 1538422350.003 * * * * [misc]progress: [ 137 / 310 ] simplifiying candidate # 1538422350.004 * [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)))))) 1538422350.004 * * [misc]simplify: iters left: 6 (19 enodes) 1538422350.006 * * [misc]simplify: iters left: 5 (30 enodes) 1538422350.012 * * [misc]simplify: iters left: 4 (46 enodes) 1538422350.019 * * [misc]simplify: iters left: 3 (76 enodes) 1538422350.038 * * [misc]simplify: iters left: 2 (122 enodes) 1538422350.055 * * [misc]simplify: iters left: 1 (169 enodes) 1538422350.073 * [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)))))) 1538422350.073 * [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)))))))) 1538422350.073 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422350.073 * * [misc]simplify: iters left: 6 (18 enodes) 1538422350.076 * * [misc]simplify: iters left: 5 (27 enodes) 1538422350.079 * * [misc]simplify: iters left: 4 (39 enodes) 1538422350.085 * * [misc]simplify: iters left: 3 (59 enodes) 1538422350.095 * * [misc]simplify: iters left: 2 (100 enodes) 1538422350.108 * * [misc]simplify: iters left: 1 (140 enodes) 1538422350.123 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538422350.123 * [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))))) 1538422350.124 * * * * [misc]progress: [ 138 / 310 ] simplifiying candidate # 1538422350.124 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422350.124 * * [misc]simplify: iters left: 6 (16 enodes) 1538422350.126 * * [misc]simplify: iters left: 5 (28 enodes) 1538422350.131 * * [misc]simplify: iters left: 4 (48 enodes) 1538422350.137 * * [misc]simplify: iters left: 3 (87 enodes) 1538422350.154 * * [misc]simplify: iters left: 2 (192 enodes) 1538422350.208 * * [misc]simplify: iters left: 1 (283 enodes) 1538422350.243 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422350.243 * [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))))))) 1538422350.244 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422350.244 * * [misc]simplify: iters left: 6 (17 enodes) 1538422350.246 * * [misc]simplify: iters left: 5 (26 enodes) 1538422350.250 * * [misc]simplify: iters left: 4 (38 enodes) 1538422350.255 * * [misc]simplify: iters left: 3 (58 enodes) 1538422350.565 * * [misc]simplify: iters left: 2 (99 enodes) 1538422350.584 * * [misc]simplify: iters left: 1 (139 enodes) 1538422350.613 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422350.613 * [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))))))) 1538422350.613 * * * * [misc]progress: [ 139 / 310 ] simplifiying candidate # 1538422350.613 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422350.613 * * [misc]simplify: iters left: 6 (17 enodes) 1538422350.619 * * [misc]simplify: iters left: 5 (27 enodes) 1538422350.626 * * [misc]simplify: iters left: 4 (39 enodes) 1538422350.637 * * [misc]simplify: iters left: 3 (59 enodes) 1538422350.653 * * [misc]simplify: iters left: 2 (100 enodes) 1538422350.679 * * [misc]simplify: iters left: 1 (140 enodes) 1538422350.703 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538422350.703 * [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))))))) 1538422350.703 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422350.703 * * [misc]simplify: iters left: 6 (18 enodes) 1538422350.706 * * [misc]simplify: iters left: 5 (28 enodes) 1538422350.709 * * [misc]simplify: iters left: 4 (38 enodes) 1538422350.715 * * [misc]simplify: iters left: 3 (58 enodes) 1538422350.723 * * [misc]simplify: iters left: 2 (99 enodes) 1538422350.736 * * [misc]simplify: iters left: 1 (139 enodes) 1538422350.750 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422350.750 * [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)))))) 1538422350.750 * * * * [misc]progress: [ 140 / 310 ] simplifiying candidate # 1538422350.751 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422350.751 * * [misc]simplify: iters left: 6 (17 enodes) 1538422350.753 * * [misc]simplify: iters left: 5 (27 enodes) 1538422350.757 * * [misc]simplify: iters left: 4 (39 enodes) 1538422350.763 * * [misc]simplify: iters left: 3 (59 enodes) 1538422350.772 * * [misc]simplify: iters left: 2 (100 enodes) 1538422350.785 * * [misc]simplify: iters left: 1 (140 enodes) 1538422350.799 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538422350.799 * [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))))))) 1538422350.799 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422350.799 * * [misc]simplify: iters left: 6 (18 enodes) 1538422350.802 * * [misc]simplify: iters left: 5 (28 enodes) 1538422350.806 * * [misc]simplify: iters left: 4 (38 enodes) 1538422350.811 * * [misc]simplify: iters left: 3 (58 enodes) 1538422350.819 * * [misc]simplify: iters left: 2 (99 enodes) 1538422350.832 * * [misc]simplify: iters left: 1 (139 enodes) 1538422350.848 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538422350.848 * [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)))))) 1538422350.848 * * * * [misc]progress: [ 141 / 310 ] simplifiying candidate # 1538422350.848 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422350.848 * * [misc]simplify: iters left: 6 (16 enodes) 1538422350.850 * * [misc]simplify: iters left: 5 (24 enodes) 1538422350.856 * * [misc]simplify: iters left: 4 (36 enodes) 1538422350.866 * * [misc]simplify: iters left: 3 (56 enodes) 1538422350.882 * * [misc]simplify: iters left: 2 (97 enodes) 1538422350.908 * * [misc]simplify: iters left: 1 (137 enodes) 1538422350.936 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422350.936 * [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))))))) 1538422350.936 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422350.937 * * [misc]simplify: iters left: 6 (15 enodes) 1538422350.941 * * [misc]simplify: iters left: 5 (23 enodes) 1538422350.947 * * [misc]simplify: iters left: 4 (35 enodes) 1538422350.957 * * [misc]simplify: iters left: 3 (55 enodes) 1538422350.973 * * [misc]simplify: iters left: 2 (96 enodes) 1538422350.985 * * [misc]simplify: iters left: 1 (136 enodes) 1538422350.999 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422350.999 * [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))))))) 1538422350.999 * * * * [misc]progress: [ 142 / 310 ] simplifiying candidate # 1538422350.999 * [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))))))) 1538422350.999 * * [misc]simplify: iters left: 6 (19 enodes) 1538422351.002 * * [misc]simplify: iters left: 5 (30 enodes) 1538422351.006 * * [misc]simplify: iters left: 4 (44 enodes) 1538422351.012 * * [misc]simplify: iters left: 3 (71 enodes) 1538422351.023 * * [misc]simplify: iters left: 2 (120 enodes) 1538422351.039 * * [misc]simplify: iters left: 1 (162 enodes) 1538422351.066 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422351.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538422351.066 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422351.066 * * [misc]simplify: iters left: 6 (18 enodes) 1538422351.072 * * [misc]simplify: iters left: 5 (27 enodes) 1538422351.077 * * [misc]simplify: iters left: 4 (39 enodes) 1538422351.083 * * [misc]simplify: iters left: 3 (59 enodes) 1538422351.091 * * [misc]simplify: iters left: 2 (100 enodes) 1538422351.104 * * [misc]simplify: iters left: 1 (140 enodes) 1538422351.126 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422351.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538422351.126 * * * * [misc]progress: [ 143 / 310 ] simplifiying candidate # 1538422351.127 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422351.127 * * [misc]simplify: iters left: 6 (18 enodes) 1538422351.129 * * [misc]simplify: iters left: 5 (27 enodes) 1538422351.134 * * [misc]simplify: iters left: 4 (39 enodes) 1538422351.139 * * [misc]simplify: iters left: 3 (59 enodes) 1538422351.148 * * [misc]simplify: iters left: 2 (100 enodes) 1538422351.173 * * [misc]simplify: iters left: 1 (140 enodes) 1538422351.202 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422351.202 * [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)))))))) 1538422351.203 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422351.203 * * [misc]simplify: iters left: 6 (18 enodes) 1538422351.208 * * [misc]simplify: iters left: 5 (27 enodes) 1538422351.215 * * [misc]simplify: iters left: 4 (39 enodes) 1538422351.227 * * [misc]simplify: iters left: 3 (59 enodes) 1538422351.243 * * [misc]simplify: iters left: 2 (100 enodes) 1538422351.271 * * [misc]simplify: iters left: 1 (140 enodes) 1538422351.300 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538422351.300 * [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))))) 1538422351.300 * * * * [misc]progress: [ 144 / 310 ] simplifiying candidate # 1538422351.300 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1538422351.300 * * [misc]simplify: iters left: 6 (15 enodes) 1538422351.305 * * [misc]simplify: iters left: 5 (25 enodes) 1538422351.313 * * [misc]simplify: iters left: 4 (41 enodes) 1538422351.325 * * [misc]simplify: iters left: 3 (63 enodes) 1538422351.341 * * [misc]simplify: iters left: 2 (103 enodes) 1538422351.367 * * [misc]simplify: iters left: 1 (141 enodes) 1538422351.394 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422351.394 * [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))))))) 1538422351.394 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422351.394 * * [misc]simplify: iters left: 6 (17 enodes) 1538422351.399 * * [misc]simplify: iters left: 5 (26 enodes) 1538422351.408 * * [misc]simplify: iters left: 4 (38 enodes) 1538422351.419 * * [misc]simplify: iters left: 3 (58 enodes) 1538422351.436 * * [misc]simplify: iters left: 2 (99 enodes) 1538422351.463 * * [misc]simplify: iters left: 1 (139 enodes) 1538422351.491 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422351.491 * [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))))))) 1538422351.491 * * * * [misc]progress: [ 145 / 310 ] simplifiying candidate # 1538422351.492 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538422351.492 * * [misc]simplify: iters left: 6 (16 enodes) 1538422351.497 * * [misc]simplify: iters left: 5 (28 enodes) 1538422351.505 * * [misc]simplify: iters left: 4 (40 enodes) 1538422351.517 * * [misc]simplify: iters left: 3 (68 enodes) 1538422351.532 * * [misc]simplify: iters left: 2 (110 enodes) 1538422351.547 * * [misc]simplify: iters left: 1 (153 enodes) 1538422351.570 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1538422351.570 * [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))))))) 1538422351.570 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422351.570 * * [misc]simplify: iters left: 6 (17 enodes) 1538422351.576 * * [misc]simplify: iters left: 5 (27 enodes) 1538422351.583 * * [misc]simplify: iters left: 4 (37 enodes) 1538422351.590 * * [misc]simplify: iters left: 3 (57 enodes) 1538422351.598 * * [misc]simplify: iters left: 2 (98 enodes) 1538422351.612 * * [misc]simplify: iters left: 1 (138 enodes) 1538422351.631 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422351.631 * [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)))))) 1538422351.631 * * * * [misc]progress: [ 146 / 310 ] simplifiying candidate # 1538422351.632 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538422351.632 * * [misc]simplify: iters left: 6 (16 enodes) 1538422351.638 * * [misc]simplify: iters left: 5 (28 enodes) 1538422351.646 * * [misc]simplify: iters left: 4 (40 enodes) 1538422351.657 * * [misc]simplify: iters left: 3 (68 enodes) 1538422351.673 * * [misc]simplify: iters left: 2 (110 enodes) 1538422351.687 * * [misc]simplify: iters left: 1 (153 enodes) 1538422351.702 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1538422351.702 * [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))))))) 1538422351.702 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422351.703 * * [misc]simplify: iters left: 6 (17 enodes) 1538422351.705 * * [misc]simplify: iters left: 5 (27 enodes) 1538422351.710 * * [misc]simplify: iters left: 4 (37 enodes) 1538422351.720 * * [misc]simplify: iters left: 3 (57 enodes) 1538422351.735 * * [misc]simplify: iters left: 2 (98 enodes) 1538422351.763 * * [misc]simplify: iters left: 1 (138 enodes) 1538422351.784 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422351.784 * [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)))))) 1538422351.784 * * * * [misc]progress: [ 147 / 310 ] simplifiying candidate # 1538422351.784 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422351.784 * * [misc]simplify: iters left: 6 (15 enodes) 1538422351.786 * * [misc]simplify: iters left: 5 (25 enodes) 1538422351.790 * * [misc]simplify: iters left: 4 (37 enodes) 1538422351.796 * * [misc]simplify: iters left: 3 (65 enodes) 1538422351.805 * * [misc]simplify: iters left: 2 (107 enodes) 1538422351.829 * * [misc]simplify: iters left: 1 (150 enodes) 1538422351.857 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1538422351.857 * [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))))))) 1538422351.857 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422351.857 * * [misc]simplify: iters left: 6 (14 enodes) 1538422351.859 * * [misc]simplify: iters left: 5 (22 enodes) 1538422351.862 * * [misc]simplify: iters left: 4 (34 enodes) 1538422351.867 * * [misc]simplify: iters left: 3 (54 enodes) 1538422351.874 * * [misc]simplify: iters left: 2 (95 enodes) 1538422351.886 * * [misc]simplify: iters left: 1 (135 enodes) 1538422351.900 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422351.900 * [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))))))) 1538422351.900 * * * * [misc]progress: [ 148 / 310 ] simplifiying candidate # 1538422351.900 * [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))))))) 1538422351.901 * * [misc]simplify: iters left: 6 (18 enodes) 1538422351.903 * * [misc]simplify: iters left: 5 (31 enodes) 1538422351.907 * * [misc]simplify: iters left: 4 (45 enodes) 1538422351.914 * * [misc]simplify: iters left: 3 (77 enodes) 1538422351.932 * * [misc]simplify: iters left: 2 (124 enodes) 1538422351.947 * * [misc]simplify: iters left: 1 (167 enodes) 1538422351.967 * [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))))) 1538422351.968 * [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)))))))) 1538422351.968 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422351.968 * * [misc]simplify: iters left: 6 (17 enodes) 1538422351.972 * * [misc]simplify: iters left: 5 (26 enodes) 1538422351.979 * * [misc]simplify: iters left: 4 (38 enodes) 1538422351.990 * * [misc]simplify: iters left: 3 (58 enodes) 1538422352.007 * * [misc]simplify: iters left: 2 (99 enodes) 1538422352.020 * * [misc]simplify: iters left: 1 (139 enodes) 1538422352.036 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422352.036 * [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))))))) 1538422352.036 * * * * [misc]progress: [ 149 / 310 ] simplifiying candidate # 1538422352.036 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422352.036 * * [misc]simplify: iters left: 6 (17 enodes) 1538422352.039 * * [misc]simplify: iters left: 5 (28 enodes) 1538422352.046 * * [misc]simplify: iters left: 4 (40 enodes) 1538422352.058 * * [misc]simplify: iters left: 3 (68 enodes) 1538422352.077 * * [misc]simplify: iters left: 2 (110 enodes) 1538422352.098 * * [misc]simplify: iters left: 1 (153 enodes) 1538422352.113 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422352.113 * [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)))))))) 1538422352.113 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422352.113 * * [misc]simplify: iters left: 6 (17 enodes) 1538422352.116 * * [misc]simplify: iters left: 5 (26 enodes) 1538422352.120 * * [misc]simplify: iters left: 4 (38 enodes) 1538422352.128 * * [misc]simplify: iters left: 3 (58 enodes) 1538422352.144 * * [misc]simplify: iters left: 2 (99 enodes) 1538422352.161 * * [misc]simplify: iters left: 1 (139 enodes) 1538422352.176 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422352.176 * [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))))))) 1538422352.176 * * * * [misc]progress: [ 150 / 310 ] simplifiying candidate # 1538422352.176 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 1)) 1538422352.176 * * [misc]simplify: iters left: 6 (13 enodes) 1538422352.178 * * [misc]simplify: iters left: 5 (21 enodes) 1538422352.183 * * [misc]simplify: iters left: 4 (30 enodes) 1538422352.192 * * [misc]simplify: iters left: 3 (50 enodes) 1538422352.206 * * [misc]simplify: iters left: 2 (90 enodes) 1538422352.230 * * [misc]simplify: iters left: 1 (128 enodes) 1538422352.257 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422352.258 * [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))))))) 1538422352.258 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422352.258 * * [misc]simplify: iters left: 6 (16 enodes) 1538422352.263 * * [misc]simplify: iters left: 5 (25 enodes) 1538422352.270 * * [misc]simplify: iters left: 4 (37 enodes) 1538422352.280 * * [misc]simplify: iters left: 3 (57 enodes) 1538422352.294 * * [misc]simplify: iters left: 2 (98 enodes) 1538422352.319 * * [misc]simplify: iters left: 1 (138 enodes) 1538422352.348 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422352.348 * [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))))))) 1538422352.348 * * * * [misc]progress: [ 151 / 310 ] simplifiying candidate # 1538422352.348 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1) 1538422352.348 * * [misc]simplify: iters left: 6 (12 enodes) 1538422352.352 * * [misc]simplify: iters left: 5 (20 enodes) 1538422352.358 * * [misc]simplify: iters left: 4 (31 enodes) 1538422352.365 * * [misc]simplify: iters left: 3 (49 enodes) 1538422352.373 * * [misc]simplify: iters left: 2 (89 enodes) 1538422352.384 * * [misc]simplify: iters left: 1 (127 enodes) 1538422352.399 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422352.399 * [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))))))) 1538422352.399 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422352.399 * * [misc]simplify: iters left: 6 (16 enodes) 1538422352.404 * * [misc]simplify: iters left: 5 (25 enodes) 1538422352.412 * * [misc]simplify: iters left: 4 (37 enodes) 1538422352.423 * * [misc]simplify: iters left: 3 (57 enodes) 1538422352.439 * * [misc]simplify: iters left: 2 (98 enodes) 1538422352.466 * * [misc]simplify: iters left: 1 (138 enodes) 1538422352.495 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422352.495 * [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))))))) 1538422352.495 * * * * [misc]progress: [ 152 / 310 ] simplifiying candidate # 1538422352.496 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)) 1538422352.496 * * [misc]simplify: iters left: 6 (12 enodes) 1538422352.497 * * [misc]simplify: iters left: 5 (18 enodes) 1538422352.500 * * [misc]simplify: iters left: 4 (27 enodes) 1538422352.504 * * [misc]simplify: iters left: 3 (45 enodes) 1538422352.510 * * [misc]simplify: iters left: 2 (86 enodes) 1538422352.522 * * [misc]simplify: iters left: 1 (126 enodes) 1538422352.542 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538422352.542 * [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))))))) 1538422352.542 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422352.543 * * [misc]simplify: iters left: 6 (16 enodes) 1538422352.547 * * [misc]simplify: iters left: 5 (27 enodes) 1538422352.555 * * [misc]simplify: iters left: 4 (39 enodes) 1538422352.567 * * [misc]simplify: iters left: 3 (67 enodes) 1538422352.578 * * [misc]simplify: iters left: 2 (109 enodes) 1538422352.594 * * [misc]simplify: iters left: 1 (152 enodes) 1538422352.609 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422352.609 * [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))))))) 1538422352.609 * * * * [misc]progress: [ 153 / 310 ] simplifiying candidate # 1538422352.610 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538422352.610 * * [misc]simplify: iters left: 6 (16 enodes) 1538422352.613 * * [misc]simplify: iters left: 5 (26 enodes) 1538422352.620 * * [misc]simplify: iters left: 4 (38 enodes) 1538422352.630 * * [misc]simplify: iters left: 3 (58 enodes) 1538422352.644 * * [misc]simplify: iters left: 2 (99 enodes) 1538422352.657 * * [misc]simplify: iters left: 1 (139 enodes) 1538422352.671 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) 1538422352.671 * [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))))) 1538422352.671 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1538422352.671 * * [misc]simplify: iters left: 6 (14 enodes) 1538422352.675 * * [misc]simplify: iters left: 5 (21 enodes) 1538422352.677 * * [misc]simplify: iters left: 4 (30 enodes) 1538422352.681 * * [misc]simplify: iters left: 3 (48 enodes) 1538422352.688 * * [misc]simplify: iters left: 2 (89 enodes) 1538422352.701 * * [misc]simplify: iters left: 1 (129 enodes) 1538422352.719 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1538422352.720 * [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))))) 1538422352.720 * * * * [misc]progress: [ 154 / 310 ] simplifiying candidate # 1538422352.720 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422352.720 * * [misc]simplify: iters left: 6 (14 enodes) 1538422352.722 * * [misc]simplify: iters left: 5 (21 enodes) 1538422352.724 * * [misc]simplify: iters left: 4 (24 enodes) 1538422352.727 * [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)))))) 1538422352.728 * [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)))))))) 1538422352.728 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422352.728 * * [misc]simplify: iters left: 6 (16 enodes) 1538422352.730 * * [misc]simplify: iters left: 5 (23 enodes) 1538422352.733 * * [misc]simplify: iters left: 4 (32 enodes) 1538422352.737 * * [misc]simplify: iters left: 3 (50 enodes) 1538422352.745 * * [misc]simplify: iters left: 2 (93 enodes) 1538422352.770 * * [misc]simplify: iters left: 1 (137 enodes) 1538422352.799 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422352.799 * [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)))))))) 1538422352.799 * * * * [misc]progress: [ 155 / 310 ] simplifiying candidate # 1538422352.799 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422352.799 * * [misc]simplify: iters left: 6 (13 enodes) 1538422352.803 * * [misc]simplify: iters left: 5 (18 enodes) 1538422352.807 * * [misc]simplify: iters left: 4 (21 enodes) 1538422352.813 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422352.813 * [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)))))))) 1538422352.814 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422352.814 * * [misc]simplify: iters left: 6 (16 enodes) 1538422352.819 * * [misc]simplify: iters left: 5 (23 enodes) 1538422352.825 * * [misc]simplify: iters left: 4 (32 enodes) 1538422352.834 * * [misc]simplify: iters left: 3 (50 enodes) 1538422352.849 * * [misc]simplify: iters left: 2 (93 enodes) 1538422352.875 * * [misc]simplify: iters left: 1 (137 enodes) 1538422352.908 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538422352.908 * [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)))))))) 1538422352.908 * * * * [misc]progress: [ 156 / 310 ] simplifiying candidate # 1538422352.909 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422352.909 * * [misc]simplify: iters left: 6 (12 enodes) 1538422352.912 * * [misc]simplify: iters left: 5 (20 enodes) 1538422352.918 * * [misc]simplify: iters left: 4 (27 enodes) 1538422352.926 * * [misc]simplify: iters left: 3 (37 enodes) 1538422352.939 * * [misc]simplify: iters left: 2 (64 enodes) 1538422352.959 * * [misc]simplify: iters left: 1 (93 enodes) 1538422352.988 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422352.988 * [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))))))) 1538422352.988 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422352.988 * * [misc]simplify: iters left: 6 (17 enodes) 1538422352.991 * * [misc]simplify: iters left: 5 (27 enodes) 1538422352.997 * * [misc]simplify: iters left: 4 (37 enodes) 1538422353.007 * * [misc]simplify: iters left: 3 (57 enodes) 1538422353.015 * * [misc]simplify: iters left: 2 (104 enodes) 1538422353.031 * * [misc]simplify: iters left: 1 (157 enodes) 1538422353.056 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538422353.056 * [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)))))) 1538422353.056 * * * * [misc]progress: [ 157 / 310 ] simplifiying candidate # 1538422353.056 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538422353.056 * * [misc]simplify: iters left: 6 (12 enodes) 1538422353.058 * * [misc]simplify: iters left: 5 (20 enodes) 1538422353.060 * * [misc]simplify: iters left: 4 (27 enodes) 1538422353.064 * * [misc]simplify: iters left: 3 (37 enodes) 1538422353.071 * * [misc]simplify: iters left: 2 (64 enodes) 1538422353.080 * * [misc]simplify: iters left: 1 (93 enodes) 1538422353.095 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422353.095 * [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))))))) 1538422353.097 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422353.097 * * [misc]simplify: iters left: 6 (17 enodes) 1538422353.099 * * [misc]simplify: iters left: 5 (27 enodes) 1538422353.103 * * [misc]simplify: iters left: 4 (37 enodes) 1538422353.108 * * [misc]simplify: iters left: 3 (57 enodes) 1538422353.116 * * [misc]simplify: iters left: 2 (104 enodes) 1538422353.130 * * [misc]simplify: iters left: 1 (157 enodes) 1538422353.150 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538422353.150 * [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)))))) 1538422353.150 * * * * [misc]progress: [ 158 / 310 ] simplifiying candidate # 1538422353.150 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538422353.150 * * [misc]simplify: iters left: 6 (13 enodes) 1538422353.152 * * [misc]simplify: iters left: 5 (21 enodes) 1538422353.155 * * [misc]simplify: iters left: 4 (31 enodes) 1538422353.160 * * [misc]simplify: iters left: 3 (51 enodes) 1538422353.169 * * [misc]simplify: iters left: 2 (90 enodes) 1538422353.194 * * [misc]simplify: iters left: 1 (181 enodes) 1538422353.258 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422353.258 * [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))))))) 1538422353.258 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422353.259 * * [misc]simplify: iters left: 6 (14 enodes) 1538422353.263 * * [misc]simplify: iters left: 5 (22 enodes) 1538422353.271 * * [misc]simplify: iters left: 4 (34 enodes) 1538422353.281 * * [misc]simplify: iters left: 3 (54 enodes) 1538422353.290 * * [misc]simplify: iters left: 2 (101 enodes) 1538422353.304 * * [misc]simplify: iters left: 1 (153 enodes) 1538422353.334 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538422353.334 * [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)))))) 1538422353.334 * * * * [misc]progress: [ 159 / 310 ] simplifiying candidate # 1538422353.335 * [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))))))) 1538422353.335 * * [misc]simplify: iters left: 6 (16 enodes) 1538422353.340 * * [misc]simplify: iters left: 5 (29 enodes) 1538422353.348 * * [misc]simplify: iters left: 4 (50 enodes) 1538422353.359 * * [misc]simplify: iters left: 3 (70 enodes) 1538422353.385 * * [misc]simplify: iters left: 2 (169 enodes) 1538422353.487 * [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)))) 1538422353.487 * [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)))))))) 1538422353.487 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422353.488 * * [misc]simplify: iters left: 6 (17 enodes) 1538422353.493 * * [misc]simplify: iters left: 5 (26 enodes) 1538422353.500 * * [misc]simplify: iters left: 4 (38 enodes) 1538422353.513 * * [misc]simplify: iters left: 3 (58 enodes) 1538422353.528 * * [misc]simplify: iters left: 2 (105 enodes) 1538422353.549 * * [misc]simplify: iters left: 1 (158 enodes) 1538422353.579 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422353.579 * [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))))))) 1538422353.579 * * * * [misc]progress: [ 160 / 310 ] simplifiying candidate # 1538422353.580 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422353.580 * * [misc]simplify: iters left: 6 (15 enodes) 1538422353.584 * * [misc]simplify: iters left: 5 (24 enodes) 1538422353.590 * * [misc]simplify: iters left: 4 (34 enodes) 1538422353.600 * * [misc]simplify: iters left: 3 (54 enodes) 1538422353.614 * * [misc]simplify: iters left: 2 (93 enodes) 1538422353.630 * * [misc]simplify: iters left: 1 (182 enodes) 1538422353.688 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538422353.688 * [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)))))))) 1538422353.688 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422353.688 * * [misc]simplify: iters left: 6 (17 enodes) 1538422353.690 * * [misc]simplify: iters left: 5 (26 enodes) 1538422353.694 * * [misc]simplify: iters left: 4 (38 enodes) 1538422353.699 * * [misc]simplify: iters left: 3 (58 enodes) 1538422353.718 * * [misc]simplify: iters left: 2 (105 enodes) 1538422353.739 * * [misc]simplify: iters left: 1 (158 enodes) 1538422353.761 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422353.761 * [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))))))) 1538422353.761 * * * * [misc]progress: [ 161 / 310 ] simplifiying candidate # 1538422353.762 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538422353.762 * * [misc]simplify: iters left: 6 (7 enodes) 1538422353.764 * * [misc]simplify: iters left: 5 (13 enodes) 1538422353.769 * * [misc]simplify: iters left: 4 (22 enodes) 1538422353.772 * * [misc]simplify: iters left: 3 (24 enodes) 1538422353.774 * * [misc]simplify: iters left: 2 (29 enodes) 1538422353.777 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1538422353.778 * [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))))))) 1538422353.778 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422353.778 * * [misc]simplify: iters left: 6 (16 enodes) 1538422353.780 * * [misc]simplify: iters left: 5 (25 enodes) 1538422353.783 * * [misc]simplify: iters left: 4 (37 enodes) 1538422353.788 * * [misc]simplify: iters left: 3 (57 enodes) 1538422353.796 * * [misc]simplify: iters left: 2 (104 enodes) 1538422353.812 * * [misc]simplify: iters left: 1 (157 enodes) 1538422353.850 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422353.850 * [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))))))) 1538422353.850 * * * * [misc]progress: [ 162 / 310 ] simplifiying candidate # 1538422353.851 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422353.851 * * [misc]simplify: iters left: 6 (11 enodes) 1538422353.854 * * [misc]simplify: iters left: 5 (17 enodes) 1538422353.858 * * [misc]simplify: iters left: 4 (20 enodes) 1538422353.864 * * [misc]simplify: iters left: 3 (22 enodes) 1538422353.870 * * [misc]simplify: iters left: 2 (34 enodes) 1538422353.880 * * [misc]simplify: iters left: 1 (42 enodes) 1538422353.889 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538422353.889 * [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))))))) 1538422353.889 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422353.889 * * [misc]simplify: iters left: 6 (17 enodes) 1538422353.895 * * [misc]simplify: iters left: 5 (27 enodes) 1538422353.902 * * [misc]simplify: iters left: 4 (37 enodes) 1538422353.910 * * [misc]simplify: iters left: 3 (57 enodes) 1538422353.920 * * [misc]simplify: iters left: 2 (104 enodes) 1538422353.934 * * [misc]simplify: iters left: 1 (157 enodes) 1538422353.959 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538422353.959 * [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)))))) 1538422353.959 * * * * [misc]progress: [ 163 / 310 ] simplifiying candidate # 1538422353.960 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538422353.960 * * [misc]simplify: iters left: 6 (11 enodes) 1538422353.963 * * [misc]simplify: iters left: 5 (17 enodes) 1538422353.967 * * [misc]simplify: iters left: 4 (20 enodes) 1538422353.972 * * [misc]simplify: iters left: 3 (22 enodes) 1538422353.979 * * [misc]simplify: iters left: 2 (34 enodes) 1538422353.985 * * [misc]simplify: iters left: 1 (42 enodes) 1538422353.989 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538422353.989 * [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))))))) 1538422353.990 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538422353.990 * * [misc]simplify: iters left: 6 (17 enodes) 1538422353.992 * * [misc]simplify: iters left: 5 (27 enodes) 1538422353.995 * * [misc]simplify: iters left: 4 (37 enodes) 1538422354.001 * * [misc]simplify: iters left: 3 (57 enodes) 1538422354.010 * * [misc]simplify: iters left: 2 (104 enodes) 1538422354.036 * * [misc]simplify: iters left: 1 (157 enodes) 1538422354.073 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538422354.073 * [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)))))) 1538422354.073 * * * * [misc]progress: [ 164 / 310 ] simplifiying candidate # 1538422354.073 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538422354.073 * * [misc]simplify: iters left: 6 (12 enodes) 1538422354.075 * * [misc]simplify: iters left: 5 (18 enodes) 1538422354.077 * * [misc]simplify: iters left: 4 (24 enodes) 1538422354.080 * * [misc]simplify: iters left: 3 (32 enodes) 1538422354.085 * * [misc]simplify: iters left: 2 (41 enodes) 1538422354.089 * * [misc]simplify: iters left: 1 (51 enodes) 1538422354.095 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538422354.095 * [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))))))) 1538422354.095 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538422354.095 * * [misc]simplify: iters left: 6 (14 enodes) 1538422354.097 * * [misc]simplify: iters left: 5 (22 enodes) 1538422354.100 * * [misc]simplify: iters left: 4 (34 enodes) 1538422354.107 * * [misc]simplify: iters left: 3 (54 enodes) 1538422354.124 * * [misc]simplify: iters left: 2 (101 enodes) 1538422354.151 * * [misc]simplify: iters left: 1 (153 enodes) 1538422354.188 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538422354.189 * [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)))))) 1538422354.189 * * * * [misc]progress: [ 165 / 310 ] simplifiying candidate # 1538422354.189 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422354.189 * * [misc]simplify: iters left: 6 (15 enodes) 1538422354.194 * * [misc]simplify: iters left: 5 (24 enodes) 1538422354.200 * * [misc]simplify: iters left: 4 (32 enodes) 1538422354.208 * * [misc]simplify: iters left: 3 (43 enodes) 1538422354.221 * * [misc]simplify: iters left: 2 (69 enodes) 1538422354.243 * * [misc]simplify: iters left: 1 (119 enodes) 1538422354.302 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422354.302 * [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)))))))) 1538422354.302 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422354.302 * * [misc]simplify: iters left: 6 (17 enodes) 1538422354.308 * * [misc]simplify: iters left: 5 (26 enodes) 1538422354.315 * * [misc]simplify: iters left: 4 (38 enodes) 1538422354.327 * * [misc]simplify: iters left: 3 (58 enodes) 1538422354.344 * * [misc]simplify: iters left: 2 (105 enodes) 1538422354.373 * * [misc]simplify: iters left: 1 (158 enodes) 1538422354.415 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422354.415 * [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))))))) 1538422354.416 * * * * [misc]progress: [ 166 / 310 ] simplifiying candidate # 1538422354.416 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422354.416 * * [misc]simplify: iters left: 6 (14 enodes) 1538422354.421 * * [misc]simplify: iters left: 5 (21 enodes) 1538422354.427 * * [misc]simplify: iters left: 4 (27 enodes) 1538422354.434 * * [misc]simplify: iters left: 3 (35 enodes) 1538422354.445 * * [misc]simplify: iters left: 2 (43 enodes) 1538422354.455 * * [misc]simplify: iters left: 1 (56 enodes) 1538422354.469 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538422354.469 * [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)))))))) 1538422354.470 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422354.470 * * [misc]simplify: iters left: 6 (17 enodes) 1538422354.475 * * [misc]simplify: iters left: 5 (26 enodes) 1538422354.482 * * [misc]simplify: iters left: 4 (38 enodes) 1538422354.493 * * [misc]simplify: iters left: 3 (58 enodes) 1538422354.510 * * [misc]simplify: iters left: 2 (105 enodes) 1538422354.539 * * [misc]simplify: iters left: 1 (158 enodes) 1538422354.582 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422354.582 * [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))))))) 1538422354.582 * * * * [misc]progress: [ 167 / 310 ] simplifiying candidate # 1538422354.582 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1538422354.582 * * [misc]simplify: iters left: 6 (6 enodes) 1538422354.584 * * [misc]simplify: iters left: 5 (10 enodes) 1538422354.587 * * [misc]simplify: iters left: 4 (16 enodes) 1538422354.591 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538422354.591 * [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))))))) 1538422354.591 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422354.591 * * [misc]simplify: iters left: 6 (16 enodes) 1538422354.594 * * [misc]simplify: iters left: 5 (25 enodes) 1538422354.597 * * [misc]simplify: iters left: 4 (37 enodes) 1538422354.603 * * [misc]simplify: iters left: 3 (57 enodes) 1538422354.611 * * [misc]simplify: iters left: 2 (104 enodes) 1538422354.628 * * [misc]simplify: iters left: 1 (157 enodes) 1538422354.670 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422354.670 * [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))))))) 1538422354.671 * * * * [misc]progress: [ 168 / 310 ] simplifiying candidate # 1538422354.671 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538422354.671 * * [misc]simplify: iters left: 6 (8 enodes) 1538422354.675 * * [misc]simplify: iters left: 5 (14 enodes) 1538422354.678 * * [misc]simplify: iters left: 4 (15 enodes) 1538422354.682 * * [misc]simplify: iters left: 3 (19 enodes) 1538422354.686 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538422354.686 * [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))))))) 1538422354.686 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422354.687 * * [misc]simplify: iters left: 6 (16 enodes) 1538422354.692 * * [misc]simplify: iters left: 5 (26 enodes) 1538422354.699 * * [misc]simplify: iters left: 4 (36 enodes) 1538422354.710 * * [misc]simplify: iters left: 3 (56 enodes) 1538422354.726 * * [misc]simplify: iters left: 2 (103 enodes) 1538422354.754 * * [misc]simplify: iters left: 1 (155 enodes) 1538422354.793 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538422354.793 * [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)))))) 1538422354.793 * * * * [misc]progress: [ 169 / 310 ] simplifiying candidate # 1538422354.793 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538422354.793 * * [misc]simplify: iters left: 6 (8 enodes) 1538422354.796 * * [misc]simplify: iters left: 5 (14 enodes) 1538422354.799 * * [misc]simplify: iters left: 4 (15 enodes) 1538422354.804 * * [misc]simplify: iters left: 3 (19 enodes) 1538422354.809 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538422354.809 * [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))))))) 1538422354.809 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422354.810 * * [misc]simplify: iters left: 6 (16 enodes) 1538422354.814 * * [misc]simplify: iters left: 5 (26 enodes) 1538422354.821 * * [misc]simplify: iters left: 4 (36 enodes) 1538422354.832 * * [misc]simplify: iters left: 3 (56 enodes) 1538422354.848 * * [misc]simplify: iters left: 2 (103 enodes) 1538422354.866 * * [misc]simplify: iters left: 1 (155 enodes) 1538422354.886 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538422354.886 * [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)))))) 1538422354.886 * * * * [misc]progress: [ 170 / 310 ] simplifiying candidate # 1538422354.886 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1538422354.886 * * [misc]simplify: iters left: 6 (10 enodes) 1538422354.888 * * [misc]simplify: iters left: 5 (16 enodes) 1538422354.890 * * [misc]simplify: iters left: 4 (20 enodes) 1538422354.893 * * [misc]simplify: iters left: 3 (24 enodes) 1538422354.895 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538422354.895 * [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))))))) 1538422354.895 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538422354.895 * * [misc]simplify: iters left: 6 (13 enodes) 1538422354.897 * * [misc]simplify: iters left: 5 (21 enodes) 1538422354.900 * * [misc]simplify: iters left: 4 (33 enodes) 1538422354.906 * * [misc]simplify: iters left: 3 (53 enodes) 1538422354.916 * * [misc]simplify: iters left: 2 (100 enodes) 1538422354.941 * * [misc]simplify: iters left: 1 (152 enodes) 1538422354.961 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))) 1538422354.961 * [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)))))) 1538422354.961 * * * * [misc]progress: [ 171 / 310 ] simplifiying candidate # 1538422354.961 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538422354.961 * * [misc]simplify: iters left: 6 (13 enodes) 1538422354.963 * * [misc]simplify: iters left: 5 (22 enodes) 1538422354.966 * * [misc]simplify: iters left: 4 (26 enodes) 1538422354.970 * * [misc]simplify: iters left: 3 (32 enodes) 1538422354.974 * * [misc]simplify: iters left: 2 (34 enodes) 1538422354.978 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422354.978 * [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)))))))) 1538422354.978 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422354.978 * * [misc]simplify: iters left: 6 (16 enodes) 1538422354.980 * * [misc]simplify: iters left: 5 (25 enodes) 1538422354.984 * * [misc]simplify: iters left: 4 (37 enodes) 1538422354.991 * * [misc]simplify: iters left: 3 (57 enodes) 1538422355.008 * * [misc]simplify: iters left: 2 (104 enodes) 1538422355.023 * * [misc]simplify: iters left: 1 (157 enodes) 1538422355.043 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538422355.043 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538422355.043 * * * * [misc]progress: [ 172 / 310 ] simplifiying candidate # 1538422355.043 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422355.043 * * [misc]simplify: iters left: 6 (12 enodes) 1538422355.045 * * [misc]simplify: iters left: 5 (19 enodes) 1538422355.048 * * [misc]simplify: iters left: 4 (23 enodes) 1538422355.051 * * [misc]simplify: iters left: 3 (27 enodes) 1538422355.054 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422355.054 * [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)))))))) 1538422355.054 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422355.054 * * [misc]simplify: iters left: 6 (16 enodes) 1538422355.058 * * [misc]simplify: iters left: 5 (25 enodes) 1538422355.065 * * [misc]simplify: iters left: 4 (37 enodes) 1538422355.076 * * [misc]simplify: iters left: 3 (57 enodes) 1538422355.092 * * [misc]simplify: iters left: 2 (104 enodes) 1538422355.111 * * [misc]simplify: iters left: 1 (157 enodes) 1538422355.137 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538422355.137 * [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)))))) 1538422355.137 * * * * [misc]progress: [ 173 / 310 ] simplifiying candidate # 1538422355.137 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1538422355.137 * * [misc]simplify: iters left: 4 (3 enodes) 1538422355.138 * * [misc]simplify: iters left: 3 (5 enodes) 1538422355.139 * [exit]simplify: Simplified to 1 1538422355.139 * [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))))))) 1538422355.139 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.139 * * [misc]simplify: iters left: 6 (15 enodes) 1538422355.144 * * [misc]simplify: iters left: 5 (24 enodes) 1538422355.149 * * [misc]simplify: iters left: 4 (36 enodes) 1538422355.155 * * [misc]simplify: iters left: 3 (56 enodes) 1538422355.162 * * [misc]simplify: iters left: 2 (103 enodes) 1538422355.177 * * [misc]simplify: iters left: 1 (155 enodes) 1538422355.201 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422355.201 * [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)))))) 1538422355.201 * * * * [misc]progress: [ 174 / 310 ] simplifiying candidate # 1538422355.201 * [enter]simplify: Simplifying (/ 1 1) 1538422355.201 * * [misc]simplify: iters left: 2 (2 enodes) 1538422355.202 * * [misc]simplify: iters left: 1 (4 enodes) 1538422355.202 * [exit]simplify: Simplified to 1 1538422355.202 * [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))))))) 1538422355.202 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.202 * * [misc]simplify: iters left: 6 (15 enodes) 1538422355.204 * * [misc]simplify: iters left: 5 (24 enodes) 1538422355.208 * * [misc]simplify: iters left: 4 (36 enodes) 1538422355.213 * * [misc]simplify: iters left: 3 (56 enodes) 1538422355.226 * * [misc]simplify: iters left: 2 (103 enodes) 1538422355.254 * * [misc]simplify: iters left: 1 (155 enodes) 1538422355.292 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422355.292 * [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)))))) 1538422355.292 * * * * [misc]progress: [ 175 / 310 ] simplifiying candidate # 1538422355.292 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1538422355.292 * * [misc]simplify: iters left: 3 (4 enodes) 1538422355.294 * * [misc]simplify: iters left: 2 (6 enodes) 1538422355.295 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1538422355.295 * [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))))))) 1538422355.295 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.295 * * [misc]simplify: iters left: 6 (15 enodes) 1538422355.302 * * [misc]simplify: iters left: 5 (26 enodes) 1538422355.308 * * [misc]simplify: iters left: 4 (37 enodes) 1538422355.314 * * [misc]simplify: iters left: 3 (66 enodes) 1538422355.323 * * [misc]simplify: iters left: 2 (129 enodes) 1538422355.344 * * [misc]simplify: iters left: 1 (200 enodes) 1538422355.402 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422355.402 * [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)))))) 1538422355.403 * * * * [misc]progress: [ 176 / 310 ] simplifiying candidate # 1538422355.403 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1538422355.403 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.404 * * [misc]simplify: iters left: 5 (16 enodes) 1538422355.406 * * [misc]simplify: iters left: 4 (19 enodes) 1538422355.409 * * [misc]simplify: iters left: 3 (21 enodes) 1538422355.412 * * [misc]simplify: iters left: 2 (33 enodes) 1538422355.416 * * [misc]simplify: iters left: 1 (41 enodes) 1538422355.420 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1538422355.420 * [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))))) 1538422355.420 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538422355.420 * * [misc]simplify: iters left: 6 (13 enodes) 1538422355.422 * * [misc]simplify: iters left: 5 (20 enodes) 1538422355.425 * * [misc]simplify: iters left: 4 (29 enodes) 1538422355.429 * * [misc]simplify: iters left: 3 (47 enodes) 1538422355.436 * * [misc]simplify: iters left: 2 (90 enodes) 1538422355.448 * * [misc]simplify: iters left: 1 (134 enodes) 1538422355.464 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1538422355.464 * [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))))) 1538422355.464 * * * * [misc]progress: [ 177 / 310 ] simplifiying candidate # 1538422355.464 * * * * [misc]progress: [ 178 / 310 ] simplifiying candidate # 1538422355.464 * * * * [misc]progress: [ 179 / 310 ] simplifiying candidate # 1538422355.464 * * * * [misc]progress: [ 180 / 310 ] simplifiying candidate # 1538422355.464 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.464 * * [misc]simplify: iters left: 6 (11 enodes) 1538422355.466 * * [misc]simplify: iters left: 5 (14 enodes) 1538422355.468 * * [misc]simplify: iters left: 4 (17 enodes) 1538422355.470 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.470 * [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))))))) 1538422355.470 * * * * [misc]progress: [ 181 / 310 ] simplifiying candidate # 1538422355.470 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.470 * * [misc]simplify: iters left: 6 (11 enodes) 1538422355.472 * * [misc]simplify: iters left: 5 (14 enodes) 1538422355.475 * * [misc]simplify: iters left: 4 (17 enodes) 1538422355.479 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.479 * [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))))))) 1538422355.479 * * * * [misc]progress: [ 182 / 310 ] simplifiying candidate # 1538422355.479 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422355.479 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.482 * * [misc]simplify: iters left: 5 (13 enodes) 1538422355.486 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422355.486 * [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))))) 1538422355.486 * * * * [misc]progress: [ 183 / 310 ] simplifiying candidate # 1538422355.486 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422355.487 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.489 * * [misc]simplify: iters left: 5 (13 enodes) 1538422355.493 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422355.493 * [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))))) 1538422355.493 * * * * [misc]progress: [ 184 / 310 ] simplifiying candidate # 1538422355.493 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422355.493 * * [misc]simplify: iters left: 6 (9 enodes) 1538422355.496 * * [misc]simplify: iters left: 5 (11 enodes) 1538422355.497 * * [misc]simplify: iters left: 4 (14 enodes) 1538422355.499 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422355.499 * [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)))))) 1538422355.499 * * * * [misc]progress: [ 185 / 310 ] simplifiying candidate # 1538422355.499 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.499 * * [misc]simplify: iters left: 6 (12 enodes) 1538422355.501 * * [misc]simplify: iters left: 5 (15 enodes) 1538422355.503 * * [misc]simplify: iters left: 4 (18 enodes) 1538422355.505 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.505 * [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))))))) 1538422355.505 * * * * [misc]progress: [ 186 / 310 ] simplifiying candidate # 1538422355.505 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.505 * * [misc]simplify: iters left: 6 (12 enodes) 1538422355.507 * * [misc]simplify: iters left: 5 (15 enodes) 1538422355.509 * * [misc]simplify: iters left: 4 (18 enodes) 1538422355.511 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.511 * [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))))))) 1538422355.512 * * * * [misc]progress: [ 187 / 310 ] simplifiying candidate # 1538422355.512 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.512 * * [misc]simplify: iters left: 6 (11 enodes) 1538422355.513 * * [misc]simplify: iters left: 5 (14 enodes) 1538422355.515 * * [misc]simplify: iters left: 4 (17 enodes) 1538422355.517 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.517 * [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)))))) 1538422355.517 * * * * [misc]progress: [ 188 / 310 ] simplifiying candidate # 1538422355.518 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422355.518 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.519 * * [misc]simplify: iters left: 5 (13 enodes) 1538422355.521 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422355.521 * [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))))) 1538422355.521 * * * * [misc]progress: [ 189 / 310 ] simplifiying candidate # 1538422355.521 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422355.521 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.523 * * [misc]simplify: iters left: 5 (13 enodes) 1538422355.524 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422355.524 * [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))))) 1538422355.524 * * * * [misc]progress: [ 190 / 310 ] simplifiying candidate # 1538422355.525 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422355.525 * * [misc]simplify: iters left: 6 (9 enodes) 1538422355.526 * * [misc]simplify: iters left: 5 (11 enodes) 1538422355.527 * * [misc]simplify: iters left: 4 (14 enodes) 1538422355.529 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422355.529 * [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)))))) 1538422355.529 * * * * [misc]progress: [ 191 / 310 ] simplifiying candidate # 1538422355.529 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.529 * * [misc]simplify: iters left: 6 (12 enodes) 1538422355.531 * * [misc]simplify: iters left: 5 (15 enodes) 1538422355.533 * * [misc]simplify: iters left: 4 (18 enodes) 1538422355.535 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.536 * [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))))))) 1538422355.536 * * * * [misc]progress: [ 192 / 310 ] simplifiying candidate # 1538422355.536 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.536 * * [misc]simplify: iters left: 6 (12 enodes) 1538422355.539 * * [misc]simplify: iters left: 5 (15 enodes) 1538422355.544 * * [misc]simplify: iters left: 4 (18 enodes) 1538422355.548 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.548 * [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))))))) 1538422355.549 * * * * [misc]progress: [ 193 / 310 ] simplifiying candidate # 1538422355.549 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.549 * * [misc]simplify: iters left: 6 (11 enodes) 1538422355.552 * * [misc]simplify: iters left: 5 (14 enodes) 1538422355.556 * * [misc]simplify: iters left: 4 (17 enodes) 1538422355.560 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.560 * [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)))))) 1538422355.560 * * * * [misc]progress: [ 194 / 310 ] simplifiying candidate # 1538422355.561 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422355.561 * * [misc]simplify: iters left: 6 (9 enodes) 1538422355.563 * * [misc]simplify: iters left: 5 (12 enodes) 1538422355.567 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422355.567 * [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))))) 1538422355.567 * * * * [misc]progress: [ 195 / 310 ] simplifiying candidate # 1538422355.567 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422355.567 * * [misc]simplify: iters left: 6 (9 enodes) 1538422355.570 * * [misc]simplify: iters left: 5 (12 enodes) 1538422355.573 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422355.573 * [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))))) 1538422355.574 * * * * [misc]progress: [ 196 / 310 ] simplifiying candidate # 1538422355.574 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422355.574 * * [misc]simplify: iters left: 6 (8 enodes) 1538422355.577 * * [misc]simplify: iters left: 5 (10 enodes) 1538422355.580 * * [misc]simplify: iters left: 4 (13 enodes) 1538422355.583 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422355.584 * [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)))))) 1538422355.584 * * * * [misc]progress: [ 197 / 310 ] simplifiying candidate # 1538422355.584 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.584 * * [misc]simplify: iters left: 6 (11 enodes) 1538422355.587 * * [misc]simplify: iters left: 5 (14 enodes) 1538422355.591 * * [misc]simplify: iters left: 4 (17 enodes) 1538422355.596 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.596 * [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))))))) 1538422355.596 * * * * [misc]progress: [ 198 / 310 ] simplifiying candidate # 1538422355.596 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.596 * * [misc]simplify: iters left: 6 (11 enodes) 1538422355.599 * * [misc]simplify: iters left: 5 (14 enodes) 1538422355.603 * * [misc]simplify: iters left: 4 (17 enodes) 1538422355.608 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422355.608 * [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))))))) 1538422355.608 * * * * [misc]progress: [ 199 / 310 ] simplifiying candidate # 1538422355.608 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.608 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.611 * * [misc]simplify: iters left: 5 (13 enodes) 1538422355.615 * * [misc]simplify: iters left: 4 (16 enodes) 1538422355.620 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.620 * [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)))))) 1538422355.620 * * * * [misc]progress: [ 200 / 310 ] simplifiying candidate # 1538422355.620 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.620 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.623 * * [misc]simplify: iters left: 5 (13 enodes) 1538422355.627 * * [misc]simplify: iters left: 4 (16 enodes) 1538422355.631 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.632 * [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)))))) 1538422355.632 * * * * [misc]progress: [ 201 / 310 ] simplifiying candidate # 1538422355.632 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1538422355.632 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.635 * * [misc]simplify: iters left: 5 (15 enodes) 1538422355.639 * * [misc]simplify: iters left: 4 (18 enodes) 1538422355.643 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1538422355.643 * [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)))))) 1538422355.643 * * * * [misc]progress: [ 202 / 310 ] simplifiying candidate # 1538422355.644 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422355.644 * * [misc]simplify: iters left: 3 (6 enodes) 1538422355.645 * * [misc]simplify: iters left: 2 (7 enodes) 1538422355.647 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422355.647 * [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)))) 1538422355.647 * * * * [misc]progress: [ 203 / 310 ] simplifiying candidate # 1538422355.648 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538422355.648 * * [misc]simplify: iters left: 4 (5 enodes) 1538422355.649 * * [misc]simplify: iters left: 3 (9 enodes) 1538422355.651 * * [misc]simplify: iters left: 2 (11 enodes) 1538422355.654 * * [misc]simplify: iters left: 1 (13 enodes) 1538422355.657 * [exit]simplify: Simplified to (sqrt PI) 1538422355.657 * [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))))))) 1538422355.657 * * * * [misc]progress: [ 204 / 310 ] simplifiying candidate # 1538422355.657 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538422355.657 * * [misc]simplify: iters left: 4 (5 enodes) 1538422355.659 * * [misc]simplify: iters left: 3 (9 enodes) 1538422355.661 * * [misc]simplify: iters left: 2 (11 enodes) 1538422355.664 * * [misc]simplify: iters left: 1 (13 enodes) 1538422355.667 * [exit]simplify: Simplified to (sqrt PI) 1538422355.667 * [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))))))) 1538422355.667 * * * * [misc]progress: [ 205 / 310 ] simplifiying candidate # 1538422355.667 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538422355.667 * * [misc]simplify: iters left: 4 (5 enodes) 1538422355.669 * * [misc]simplify: iters left: 3 (8 enodes) 1538422355.671 * * [misc]simplify: iters left: 2 (9 enodes) 1538422355.673 * * [misc]simplify: iters left: 1 (12 enodes) 1538422355.675 * [exit]simplify: Simplified to (sqrt PI) 1538422355.675 * [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)))))) 1538422355.675 * * * * [misc]progress: [ 206 / 310 ] simplifiying candidate # 1538422355.675 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538422355.675 * * [misc]simplify: iters left: 4 (5 enodes) 1538422355.676 * * [misc]simplify: iters left: 3 (8 enodes) 1538422355.677 * * [misc]simplify: iters left: 2 (9 enodes) 1538422355.678 * * [misc]simplify: iters left: 1 (12 enodes) 1538422355.680 * [exit]simplify: Simplified to (sqrt PI) 1538422355.680 * [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)))))) 1538422355.680 * * * * [misc]progress: [ 207 / 310 ] simplifiying candidate # 1538422355.680 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1538422355.680 * * [misc]simplify: iters left: 6 (11 enodes) 1538422355.682 * * [misc]simplify: iters left: 5 (17 enodes) 1538422355.684 * * [misc]simplify: iters left: 4 (26 enodes) 1538422355.688 * * [misc]simplify: iters left: 3 (44 enodes) 1538422355.694 * * [misc]simplify: iters left: 2 (85 enodes) 1538422355.710 * * [misc]simplify: iters left: 1 (125 enodes) 1538422355.735 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422355.735 * [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)))))))) 1538422355.735 * * * * [misc]progress: [ 208 / 310 ] simplifiying candidate # 1538422355.735 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1538422355.735 * * [misc]simplify: iters left: 6 (10 enodes) 1538422355.738 * * [misc]simplify: iters left: 5 (16 enodes) 1538422355.742 * * [misc]simplify: iters left: 4 (25 enodes) 1538422355.749 * * [misc]simplify: iters left: 3 (43 enodes) 1538422355.761 * * [misc]simplify: iters left: 2 (84 enodes) 1538422355.784 * * [misc]simplify: iters left: 1 (124 enodes) 1538422355.808 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422355.808 * [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)))))))) 1538422355.808 * * * * [misc]progress: [ 209 / 310 ] simplifiying candidate # 1538422355.808 * * * * [misc]progress: [ 210 / 310 ] simplifiying candidate # 1538422355.808 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538422355.808 * * [misc]simplify: iters left: 5 (8 enodes) 1538422355.811 * * [misc]simplify: iters left: 4 (11 enodes) 1538422355.814 * * [misc]simplify: iters left: 3 (14 enodes) 1538422355.817 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538422355.817 * [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))))) 1538422355.817 * * * * [misc]progress: [ 211 / 310 ] simplifiying candidate # 1538422355.817 * * * * [misc]progress: [ 212 / 310 ] simplifiying candidate # 1538422355.817 * * * * [misc]progress: [ 213 / 310 ] simplifiying candidate # 1538422355.818 * * * * [misc]progress: [ 214 / 310 ] simplifiying candidate # 1538422355.818 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538422355.818 * * [misc]simplify: iters left: 6 (12 enodes) 1538422355.822 * * [misc]simplify: iters left: 5 (21 enodes) 1538422355.829 * * [misc]simplify: iters left: 4 (44 enodes) 1538422355.847 * * [misc]simplify: iters left: 3 (133 enodes) 1538422355.893 * * [misc]simplify: iters left: 2 (379 enodes) 1538422356.001 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1538422356.001 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1538422356.001 * * * * [misc]progress: [ 215 / 310 ] simplifiying candidate # 1538422356.002 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538422356.002 * * [misc]simplify: iters left: 6 (12 enodes) 1538422356.004 * * [misc]simplify: iters left: 5 (21 enodes) 1538422356.007 * * [misc]simplify: iters left: 4 (44 enodes) 1538422356.016 * * [misc]simplify: iters left: 3 (133 enodes) 1538422356.051 * * [misc]simplify: iters left: 2 (379 enodes) 1538422356.196 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1538422356.196 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1538422356.196 * * * * [misc]progress: [ 216 / 310 ] simplifiying candidate # 1538422356.197 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.197 * * [misc]simplify: iters left: 6 (12 enodes) 1538422356.201 * * [misc]simplify: iters left: 5 (19 enodes) 1538422356.207 * * [misc]simplify: iters left: 4 (32 enodes) 1538422356.217 * * [misc]simplify: iters left: 3 (69 enodes) 1538422356.252 * * [misc]simplify: iters left: 2 (208 enodes) 1538422356.385 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1538422356.385 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1538422356.385 * * * * [misc]progress: [ 217 / 310 ] simplifiying candidate # 1538422356.385 * * * * [misc]progress: [ 218 / 310 ] simplifiying candidate # 1538422356.385 * * * * [misc]progress: [ 219 / 310 ] simplifiying candidate # 1538422356.386 * [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))))) 1538422356.386 * * [misc]simplify: iters left: 6 (14 enodes) 1538422356.391 * * [misc]simplify: iters left: 5 (26 enodes) 1538422356.400 * * [misc]simplify: iters left: 4 (58 enodes) 1538422356.421 * * [misc]simplify: iters left: 3 (117 enodes) 1538422356.464 * * [misc]simplify: iters left: 2 (193 enodes) 1538422356.560 * * [misc]simplify: iters left: 1 (263 enodes) 1538422356.693 * [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))))) 1538422356.693 * [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)))))))) 1538422356.693 * * * * [misc]progress: [ 220 / 310 ] simplifiying candidate # 1538422356.693 * * * * [misc]progress: [ 221 / 310 ] simplifiying candidate # 1538422356.694 * * * * [misc]progress: [ 222 / 310 ] simplifiying candidate # 1538422356.694 * * * * [misc]progress: [ 223 / 310 ] simplifiying candidate # 1538422356.694 * * * * [misc]progress: [ 224 / 310 ] simplifiying candidate # 1538422356.694 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538422356.694 * * [misc]simplify: iters left: 6 (10 enodes) 1538422356.697 * * [misc]simplify: iters left: 5 (14 enodes) 1538422356.701 * * [misc]simplify: iters left: 4 (16 enodes) 1538422356.705 * * [misc]simplify: iters left: 3 (17 enodes) 1538422356.710 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538422356.710 * [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))))))) 1538422356.711 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422356.711 * * [misc]simplify: iters left: 6 (10 enodes) 1538422356.714 * * [misc]simplify: iters left: 5 (13 enodes) 1538422356.718 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422356.718 * [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)))))) 1538422356.718 * * * * [misc]progress: [ 225 / 310 ] simplifiying candidate # 1538422356.718 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538422356.718 * * [misc]simplify: iters left: 6 (10 enodes) 1538422356.722 * * [misc]simplify: iters left: 5 (14 enodes) 1538422356.727 * * [misc]simplify: iters left: 4 (16 enodes) 1538422356.732 * * [misc]simplify: iters left: 3 (17 enodes) 1538422356.736 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538422356.737 * [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))))))) 1538422356.737 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422356.737 * * [misc]simplify: iters left: 6 (10 enodes) 1538422356.740 * * [misc]simplify: iters left: 5 (13 enodes) 1538422356.744 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422356.744 * [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)))))) 1538422356.744 * * * * [misc]progress: [ 226 / 310 ] simplifiying candidate # 1538422356.744 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422356.744 * * [misc]simplify: iters left: 6 (11 enodes) 1538422356.748 * * [misc]simplify: iters left: 5 (15 enodes) 1538422356.752 * * [misc]simplify: iters left: 4 (20 enodes) 1538422356.758 * * [misc]simplify: iters left: 3 (21 enodes) 1538422356.764 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538422356.764 * [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))))))) 1538422356.764 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422356.764 * * [misc]simplify: iters left: 6 (9 enodes) 1538422356.767 * * [misc]simplify: iters left: 5 (11 enodes) 1538422356.770 * * [misc]simplify: iters left: 4 (14 enodes) 1538422356.774 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422356.774 * [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))))))) 1538422356.775 * * * * [misc]progress: [ 227 / 310 ] simplifiying candidate # 1538422356.775 * [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)))))) 1538422356.775 * * [misc]simplify: iters left: 6 (14 enodes) 1538422356.779 * * [misc]simplify: iters left: 5 (23 enodes) 1538422356.786 * * [misc]simplify: iters left: 4 (35 enodes) 1538422356.796 * * [misc]simplify: iters left: 3 (38 enodes) 1538422356.805 * * [misc]simplify: iters left: 2 (41 enodes) 1538422356.816 * [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)))))) 1538422356.816 * [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)))))))) 1538422356.817 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.817 * * [misc]simplify: iters left: 6 (12 enodes) 1538422356.820 * * [misc]simplify: iters left: 5 (15 enodes) 1538422356.825 * * [misc]simplify: iters left: 4 (18 enodes) 1538422356.830 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.830 * [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)))))))) 1538422356.830 * * * * [misc]progress: [ 228 / 310 ] simplifiying candidate # 1538422356.831 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.831 * * [misc]simplify: iters left: 6 (13 enodes) 1538422356.835 * * [misc]simplify: iters left: 5 (18 enodes) 1538422356.840 * * [misc]simplify: iters left: 4 (23 enodes) 1538422356.846 * * [misc]simplify: iters left: 3 (24 enodes) 1538422356.853 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.853 * [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)))))))) 1538422356.853 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.853 * * [misc]simplify: iters left: 6 (12 enodes) 1538422356.857 * * [misc]simplify: iters left: 5 (15 enodes) 1538422356.861 * * [misc]simplify: iters left: 4 (18 enodes) 1538422356.866 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.866 * [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)))))))) 1538422356.866 * * * * [misc]progress: [ 229 / 310 ] simplifiying candidate # 1538422356.866 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1538422356.867 * * [misc]simplify: iters left: 6 (6 enodes) 1538422356.869 * * [misc]simplify: iters left: 5 (10 enodes) 1538422356.872 * * [misc]simplify: iters left: 4 (16 enodes) 1538422356.876 * * [misc]simplify: iters left: 3 (18 enodes) 1538422356.880 * * [misc]simplify: iters left: 2 (23 enodes) 1538422356.883 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538422356.883 * [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))))))) 1538422356.883 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422356.883 * * [misc]simplify: iters left: 6 (11 enodes) 1538422356.885 * * [misc]simplify: iters left: 5 (14 enodes) 1538422356.887 * * [misc]simplify: iters left: 4 (17 enodes) 1538422356.889 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422356.889 * [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))))))) 1538422356.889 * * * * [misc]progress: [ 230 / 310 ] simplifiying candidate # 1538422356.889 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538422356.889 * * [misc]simplify: iters left: 5 (9 enodes) 1538422356.891 * * [misc]simplify: iters left: 4 (11 enodes) 1538422356.892 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538422356.892 * [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))))))) 1538422356.892 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422356.892 * * [misc]simplify: iters left: 6 (10 enodes) 1538422356.894 * * [misc]simplify: iters left: 5 (13 enodes) 1538422356.896 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422356.896 * [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)))))) 1538422356.896 * * * * [misc]progress: [ 231 / 310 ] simplifiying candidate # 1538422356.896 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538422356.896 * * [misc]simplify: iters left: 5 (9 enodes) 1538422356.897 * * [misc]simplify: iters left: 4 (11 enodes) 1538422356.899 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538422356.899 * [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))))))) 1538422356.899 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422356.899 * * [misc]simplify: iters left: 6 (10 enodes) 1538422356.900 * * [misc]simplify: iters left: 5 (13 enodes) 1538422356.902 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422356.902 * [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)))))) 1538422356.902 * * * * [misc]progress: [ 232 / 310 ] simplifiying candidate # 1538422356.902 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538422356.902 * * [misc]simplify: iters left: 6 (10 enodes) 1538422356.904 * * [misc]simplify: iters left: 5 (12 enodes) 1538422356.905 * * [misc]simplify: iters left: 4 (15 enodes) 1538422356.908 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538422356.908 * [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))))))) 1538422356.908 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422356.908 * * [misc]simplify: iters left: 6 (9 enodes) 1538422356.911 * * [misc]simplify: iters left: 5 (11 enodes) 1538422356.914 * * [misc]simplify: iters left: 4 (14 enodes) 1538422356.918 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538422356.918 * [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))))))) 1538422356.918 * * * * [misc]progress: [ 233 / 310 ] simplifiying candidate # 1538422356.919 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422356.919 * * [misc]simplify: iters left: 6 (13 enodes) 1538422356.923 * * [misc]simplify: iters left: 5 (18 enodes) 1538422356.928 * * [misc]simplify: iters left: 4 (21 enodes) 1538422356.934 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422356.934 * [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)))))))) 1538422356.934 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.935 * * [misc]simplify: iters left: 6 (12 enodes) 1538422356.938 * * [misc]simplify: iters left: 5 (15 enodes) 1538422356.941 * * [misc]simplify: iters left: 4 (18 enodes) 1538422356.943 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.943 * [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)))))))) 1538422356.943 * * * * [misc]progress: [ 234 / 310 ] simplifiying candidate # 1538422356.943 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.944 * * [misc]simplify: iters left: 6 (12 enodes) 1538422356.945 * * [misc]simplify: iters left: 5 (15 enodes) 1538422356.947 * * [misc]simplify: iters left: 4 (18 enodes) 1538422356.950 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.950 * [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)))))))) 1538422356.950 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.950 * * [misc]simplify: iters left: 6 (12 enodes) 1538422356.952 * * [misc]simplify: iters left: 5 (15 enodes) 1538422356.954 * * [misc]simplify: iters left: 4 (18 enodes) 1538422356.956 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422356.956 * [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)))))))) 1538422356.956 * * * * [misc]progress: [ 235 / 310 ] simplifiying candidate # 1538422356.956 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1538422356.956 * * [misc]simplify: iters left: 4 (5 enodes) 1538422356.957 * * [misc]simplify: iters left: 3 (7 enodes) 1538422356.959 * * [misc]simplify: iters left: 2 (9 enodes) 1538422356.960 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538422356.960 * [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))))))) 1538422356.960 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422356.960 * * [misc]simplify: iters left: 6 (11 enodes) 1538422356.962 * * [misc]simplify: iters left: 5 (14 enodes) 1538422356.963 * * [misc]simplify: iters left: 4 (17 enodes) 1538422356.966 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422356.966 * [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))))))) 1538422356.966 * * * * [misc]progress: [ 236 / 310 ] simplifiying candidate # 1538422356.966 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538422356.966 * * [misc]simplify: iters left: 5 (7 enodes) 1538422356.967 * * [misc]simplify: iters left: 4 (11 enodes) 1538422356.970 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538422356.970 * [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))))))) 1538422356.970 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422356.971 * * [misc]simplify: iters left: 6 (9 enodes) 1538422356.974 * * [misc]simplify: iters left: 5 (12 enodes) 1538422356.977 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422356.978 * [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)))))) 1538422356.978 * * * * [misc]progress: [ 237 / 310 ] simplifiying candidate # 1538422356.978 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538422356.978 * * [misc]simplify: iters left: 5 (7 enodes) 1538422356.980 * * [misc]simplify: iters left: 4 (11 enodes) 1538422356.983 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538422356.983 * [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))))))) 1538422356.983 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422356.983 * * [misc]simplify: iters left: 6 (9 enodes) 1538422356.987 * * [misc]simplify: iters left: 5 (12 enodes) 1538422356.990 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422356.990 * [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)))))) 1538422356.990 * * * * [misc]progress: [ 238 / 310 ] simplifiying candidate # 1538422356.991 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1538422356.991 * * [misc]simplify: iters left: 6 (9 enodes) 1538422356.993 * * [misc]simplify: iters left: 5 (13 enodes) 1538422356.997 * * [misc]simplify: iters left: 4 (16 enodes) 1538422357.001 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1538422357.001 * [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))))))) 1538422357.001 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422357.002 * * [misc]simplify: iters left: 6 (8 enodes) 1538422357.004 * * [misc]simplify: iters left: 5 (10 enodes) 1538422357.007 * * [misc]simplify: iters left: 4 (13 enodes) 1538422357.010 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538422357.010 * [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))))))) 1538422357.011 * * * * [misc]progress: [ 239 / 310 ] simplifiying candidate # 1538422357.011 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422357.011 * * [misc]simplify: iters left: 6 (12 enodes) 1538422357.015 * * [misc]simplify: iters left: 5 (19 enodes) 1538422357.020 * * [misc]simplify: iters left: 4 (22 enodes) 1538422357.026 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422357.026 * [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)))))))) 1538422357.026 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422357.026 * * [misc]simplify: iters left: 6 (11 enodes) 1538422357.029 * * [misc]simplify: iters left: 5 (14 enodes) 1538422357.033 * * [misc]simplify: iters left: 4 (17 enodes) 1538422357.038 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422357.038 * [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)))))))) 1538422357.038 * * * * [misc]progress: [ 240 / 310 ] simplifiying candidate # 1538422357.038 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422357.039 * * [misc]simplify: iters left: 6 (11 enodes) 1538422357.042 * * [misc]simplify: iters left: 5 (16 enodes) 1538422357.047 * * [misc]simplify: iters left: 4 (19 enodes) 1538422357.052 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538422357.052 * [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)))))))) 1538422357.052 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422357.052 * * [misc]simplify: iters left: 6 (11 enodes) 1538422357.055 * * [misc]simplify: iters left: 5 (14 enodes) 1538422357.059 * * [misc]simplify: iters left: 4 (17 enodes) 1538422357.064 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538422357.064 * [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)))))))) 1538422357.064 * * * * [misc]progress: [ 241 / 310 ] simplifiying candidate # 1538422357.064 * [enter]simplify: Simplifying (/ 1 1) 1538422357.065 * * [misc]simplify: iters left: 2 (2 enodes) 1538422357.065 * * [misc]simplify: iters left: 1 (4 enodes) 1538422357.066 * [exit]simplify: Simplified to 1 1538422357.066 * [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))))))) 1538422357.066 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422357.066 * * [misc]simplify: iters left: 6 (10 enodes) 1538422357.069 * * [misc]simplify: iters left: 5 (13 enodes) 1538422357.073 * * [misc]simplify: iters left: 4 (16 enodes) 1538422357.077 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538422357.077 * [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))))))) 1538422357.077 * * * * [misc]progress: [ 242 / 310 ] simplifiying candidate # 1538422357.078 * * * * [misc]progress: [ 243 / 310 ] simplifiying candidate # 1538422357.078 * * * * [misc]progress: [ 244 / 310 ] simplifiying candidate # 1538422357.078 * * * * [misc]progress: [ 245 / 310 ] simplifiying candidate # 1538422357.078 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422357.078 * * [misc]simplify: iters left: 5 (7 enodes) 1538422357.080 * * [misc]simplify: iters left: 4 (10 enodes) 1538422357.083 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422357.083 * [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)))))) 1538422357.083 * * * * [misc]progress: [ 246 / 310 ] simplifiying candidate # 1538422357.083 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422357.083 * * [misc]simplify: iters left: 5 (7 enodes) 1538422357.085 * * [misc]simplify: iters left: 4 (10 enodes) 1538422357.088 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422357.088 * [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)))))) 1538422357.088 * * * * [misc]progress: [ 247 / 310 ] simplifiying candidate # 1538422357.089 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1538422357.089 * * [misc]simplify: iters left: 5 (6 enodes) 1538422357.091 * * [misc]simplify: iters left: 4 (8 enodes) 1538422357.093 * * [misc]simplify: iters left: 3 (11 enodes) 1538422357.096 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1538422357.096 * [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)))))) 1538422357.097 * * * * [misc]progress: [ 248 / 310 ] simplifiying candidate # 1538422357.097 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422357.097 * * [misc]simplify: iters left: 6 (9 enodes) 1538422357.100 * * [misc]simplify: iters left: 5 (12 enodes) 1538422357.103 * * [misc]simplify: iters left: 4 (15 enodes) 1538422357.107 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422357.107 * [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))))))) 1538422357.107 * * * * [misc]progress: [ 249 / 310 ] simplifiying candidate # 1538422357.108 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422357.108 * * [misc]simplify: iters left: 6 (9 enodes) 1538422357.110 * * [misc]simplify: iters left: 5 (12 enodes) 1538422357.114 * * [misc]simplify: iters left: 4 (15 enodes) 1538422357.118 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538422357.118 * [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))))))) 1538422357.118 * * * * [misc]progress: [ 250 / 310 ] simplifiying candidate # 1538422357.118 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538422357.118 * * [misc]simplify: iters left: 5 (8 enodes) 1538422357.121 * * [misc]simplify: iters left: 4 (11 enodes) 1538422357.125 * * [misc]simplify: iters left: 3 (14 enodes) 1538422357.129 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538422357.129 * [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)))))) 1538422357.129 * * * * [misc]progress: [ 251 / 310 ] simplifiying candidate # 1538422357.129 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538422357.129 * * [misc]simplify: iters left: 4 (4 enodes) 1538422357.130 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538422357.131 * [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)))))) 1538422357.131 * * * * [misc]progress: [ 252 / 310 ] simplifiying candidate # 1538422357.131 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538422357.131 * * [misc]simplify: iters left: 2 (3 enodes) 1538422357.132 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538422357.132 * [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)))))) 1538422357.132 * * * * [misc]progress: [ 253 / 310 ] simplifiying candidate # 1538422357.132 * * * * [misc]progress: [ 254 / 310 ] simplifiying candidate # 1538422357.132 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422357.132 * * [misc]simplify: iters left: 3 (6 enodes) 1538422357.134 * * [misc]simplify: iters left: 2 (7 enodes) 1538422357.136 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422357.136 * [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))))) 1538422357.136 * * * * [misc]progress: [ 255 / 310 ] simplifiying candidate # 1538422357.136 * * * * [misc]progress: [ 256 / 310 ] simplifiying candidate # 1538422357.137 * * * * [misc]progress: [ 257 / 310 ] simplifiying candidate # 1538422357.137 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1538422357.137 * * [misc]simplify: iters left: 6 (9 enodes) 1538422357.140 * * [misc]simplify: iters left: 5 (16 enodes) 1538422357.146 * * [misc]simplify: iters left: 4 (32 enodes) 1538422357.157 * * [misc]simplify: iters left: 3 (72 enodes) 1538422357.176 * * [misc]simplify: iters left: 2 (195 enodes) 1538422357.241 * * [misc]simplify: iters left: 1 (418 enodes) 1538422357.459 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1538422357.459 * [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))))))) 1538422357.459 * * * * [misc]progress: [ 258 / 310 ] simplifiying candidate # 1538422357.459 * * * * [misc]progress: [ 259 / 310 ] simplifiying candidate # 1538422357.459 * [enter]simplify: Simplifying (* n 2) 1538422357.459 * * [misc]simplify: iters left: 2 (3 enodes) 1538422357.460 * * [misc]simplify: iters left: 1 (4 enodes) 1538422357.461 * [exit]simplify: Simplified to (* n 2) 1538422357.461 * [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))))))) 1538422357.461 * * * * [misc]progress: [ 260 / 310 ] simplifiying candidate # 1538422357.462 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422357.462 * * [misc]simplify: iters left: 3 (6 enodes) 1538422357.464 * * [misc]simplify: iters left: 2 (7 enodes) 1538422357.466 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422357.466 * [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)))))) 1538422357.466 * * * * [misc]progress: [ 261 / 310 ] simplifiying candidate # 1538422357.466 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538422357.466 * * [misc]simplify: iters left: 5 (6 enodes) 1538422357.468 * * [misc]simplify: iters left: 4 (8 enodes) 1538422357.471 * * [misc]simplify: iters left: 3 (11 enodes) 1538422357.474 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538422357.474 * [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))))))) 1538422357.474 * * * * [misc]progress: [ 262 / 310 ] simplifiying candidate # 1538422357.474 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538422357.474 * * [misc]simplify: iters left: 5 (6 enodes) 1538422357.476 * * [misc]simplify: iters left: 4 (8 enodes) 1538422357.479 * * [misc]simplify: iters left: 3 (11 enodes) 1538422357.482 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538422357.482 * [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))))))) 1538422357.482 * * * * [misc]progress: [ 263 / 310 ] simplifiying candidate # 1538422357.482 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538422357.482 * * [misc]simplify: iters left: 4 (5 enodes) 1538422357.484 * * [misc]simplify: iters left: 3 (7 enodes) 1538422357.486 * * [misc]simplify: iters left: 2 (10 enodes) 1538422357.489 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538422357.489 * [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)))))) 1538422357.489 * * * * [misc]progress: [ 264 / 310 ] simplifiying candidate # 1538422357.489 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422357.489 * * [misc]simplify: iters left: 5 (7 enodes) 1538422357.491 * * [misc]simplify: iters left: 4 (10 enodes) 1538422357.494 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422357.494 * [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))))))) 1538422357.494 * * * * [misc]progress: [ 265 / 310 ] simplifiying candidate # 1538422357.495 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422357.495 * * [misc]simplify: iters left: 5 (7 enodes) 1538422357.497 * * [misc]simplify: iters left: 4 (10 enodes) 1538422357.500 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422357.500 * [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))))))) 1538422357.500 * * * * [misc]progress: [ 266 / 310 ] simplifiying candidate # 1538422357.501 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538422357.501 * * [misc]simplify: iters left: 5 (7 enodes) 1538422357.503 * * [misc]simplify: iters left: 4 (9 enodes) 1538422357.506 * * [misc]simplify: iters left: 3 (12 enodes) 1538422357.509 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538422357.509 * [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))))))) 1538422357.509 * * * * [misc]progress: [ 267 / 310 ] simplifiying candidate # 1538422357.509 * * * * [misc]progress: [ 268 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 269 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 270 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 271 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 272 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 273 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 274 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 275 / 310 ] simplifiying candidate # 1538422357.510 * * * * [misc]progress: [ 276 / 310 ] simplifiying candidate # 1538422357.510 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1538422357.510 * * [misc]simplify: iters left: 6 (8 enodes) 1538422357.513 * * [misc]simplify: iters left: 5 (11 enodes) 1538422357.516 * * [misc]simplify: iters left: 4 (20 enodes) 1538422357.523 * * [misc]simplify: iters left: 3 (32 enodes) 1538422357.528 * * [misc]simplify: iters left: 2 (49 enodes) 1538422357.534 * * [misc]simplify: iters left: 1 (59 enodes) 1538422357.543 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1538422357.543 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422357.543 * * * * [misc]progress: [ 277 / 310 ] simplifiying candidate # 1538422357.543 * * * * [misc]progress: [ 278 / 310 ] simplifiying candidate # 1538422357.543 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1538422357.543 * * [misc]simplify: iters left: 6 (10 enodes) 1538422357.545 * * [misc]simplify: iters left: 5 (13 enodes) 1538422357.546 * * [misc]simplify: iters left: 4 (16 enodes) 1538422357.549 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1538422357.549 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422357.549 * * * * [misc]progress: [ 279 / 310 ] simplifiying candidate # 1538422357.549 * * * * [misc]progress: [ 280 / 310 ] simplifiying candidate # 1538422357.549 * * * * [misc]progress: [ 281 / 310 ] simplifiying candidate # 1538422357.549 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1538422357.549 * * [misc]simplify: iters left: 6 (12 enodes) 1538422357.551 * * [misc]simplify: iters left: 5 (21 enodes) 1538422357.555 * * [misc]simplify: iters left: 4 (67 enodes) 1538422357.582 * * [misc]simplify: iters left: 3 (327 enodes) 1538422358.019 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1538422358.019 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.019 * * * * [misc]progress: [ 282 / 310 ] simplifiying candidate # 1538422358.019 * * * * [misc]progress: [ 283 / 310 ] simplifiying candidate # 1538422358.019 * * * * [misc]progress: [ 284 / 310 ] simplifiying candidate # 1538422358.019 * * * * [misc]progress: [ 285 / 310 ] simplifiying candidate # 1538422358.019 * * * * [misc]progress: [ 286 / 310 ] simplifiying candidate # 1538422358.020 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538422358.020 * * [misc]simplify: iters left: 6 (7 enodes) 1538422358.021 * * [misc]simplify: iters left: 5 (12 enodes) 1538422358.022 * * [misc]simplify: iters left: 4 (22 enodes) 1538422358.025 * * [misc]simplify: iters left: 3 (35 enodes) 1538422358.029 * * [misc]simplify: iters left: 2 (42 enodes) 1538422358.034 * * [misc]simplify: iters left: 1 (47 enodes) 1538422358.040 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538422358.040 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.040 * * * * [misc]progress: [ 287 / 310 ] simplifiying candidate # 1538422358.040 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538422358.040 * * [misc]simplify: iters left: 6 (7 enodes) 1538422358.041 * * [misc]simplify: iters left: 5 (12 enodes) 1538422358.043 * * [misc]simplify: iters left: 4 (22 enodes) 1538422358.046 * * [misc]simplify: iters left: 3 (35 enodes) 1538422358.050 * * [misc]simplify: iters left: 2 (42 enodes) 1538422358.058 * * [misc]simplify: iters left: 1 (47 enodes) 1538422358.070 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538422358.070 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.070 * * * * [misc]progress: [ 288 / 310 ] simplifiying candidate # 1538422358.070 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538422358.070 * * [misc]simplify: iters left: 6 (7 enodes) 1538422358.072 * * [misc]simplify: iters left: 5 (12 enodes) 1538422358.073 * * [misc]simplify: iters left: 4 (22 enodes) 1538422358.076 * * [misc]simplify: iters left: 3 (32 enodes) 1538422358.082 * * [misc]simplify: iters left: 2 (36 enodes) 1538422358.086 * * [misc]simplify: iters left: 1 (43 enodes) 1538422358.092 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538422358.092 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.092 * * * * [misc]progress: [ 289 / 310 ] simplifiying candidate # 1538422358.092 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538422358.092 * * [misc]simplify: iters left: 6 (7 enodes) 1538422358.093 * * [misc]simplify: iters left: 5 (12 enodes) 1538422358.095 * * [misc]simplify: iters left: 4 (22 enodes) 1538422358.098 * * [misc]simplify: iters left: 3 (32 enodes) 1538422358.101 * * [misc]simplify: iters left: 2 (36 enodes) 1538422358.105 * * [misc]simplify: iters left: 1 (43 enodes) 1538422358.111 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538422358.111 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.111 * * * * [misc]progress: [ 290 / 310 ] simplifiying candidate # 1538422358.111 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538422358.111 * * [misc]simplify: iters left: 5 (6 enodes) 1538422358.112 * * [misc]simplify: iters left: 4 (8 enodes) 1538422358.113 * * [misc]simplify: iters left: 3 (11 enodes) 1538422358.114 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538422358.114 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.115 * * * * [misc]progress: [ 291 / 310 ] simplifiying candidate # 1538422358.115 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538422358.115 * * [misc]simplify: iters left: 5 (6 enodes) 1538422358.116 * * [misc]simplify: iters left: 4 (8 enodes) 1538422358.117 * * [misc]simplify: iters left: 3 (11 enodes) 1538422358.118 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538422358.118 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.118 * * * * [misc]progress: [ 292 / 310 ] simplifiying candidate # 1538422358.118 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538422358.118 * * [misc]simplify: iters left: 4 (5 enodes) 1538422358.119 * * [misc]simplify: iters left: 3 (7 enodes) 1538422358.120 * * [misc]simplify: iters left: 2 (10 enodes) 1538422358.121 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538422358.121 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.121 * * * * [misc]progress: [ 293 / 310 ] simplifiying candidate # 1538422358.121 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1538422358.121 * * [misc]simplify: iters left: 4 (4 enodes) 1538422358.122 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1538422358.122 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.122 * * * * [misc]progress: [ 294 / 310 ] simplifiying candidate # 1538422358.122 * [enter]simplify: Simplifying (sqrt (log PI)) 1538422358.122 * * [misc]simplify: iters left: 2 (3 enodes) 1538422358.123 * [exit]simplify: Simplified to (sqrt (log PI)) 1538422358.123 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.123 * * * * [misc]progress: [ 295 / 310 ] simplifiying candidate # 1538422358.123 * * * * [misc]progress: [ 296 / 310 ] simplifiying candidate # 1538422358.123 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1538422358.123 * * [misc]simplify: iters left: 6 (9 enodes) 1538422358.125 * * [misc]simplify: iters left: 5 (25 enodes) 1538422358.129 * * [misc]simplify: iters left: 4 (44 enodes) 1538422358.135 * * [misc]simplify: iters left: 3 (64 enodes) 1538422358.144 * * [misc]simplify: iters left: 2 (85 enodes) 1538422358.155 * * [misc]simplify: iters left: 1 (112 enodes) 1538422358.179 * [exit]simplify: Simplified to (fma k (fma k 1/4 1/4) 1/4) 1538422358.179 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (fma k (fma k 1/4 1/4) 1/4))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.180 * * * * [misc]progress: [ 297 / 310 ] simplifiying candidate # 1538422358.180 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1538422358.180 * * [misc]simplify: iters left: 4 (5 enodes) 1538422358.180 * * [misc]simplify: iters left: 3 (6 enodes) 1538422358.181 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1538422358.181 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422358.181 * * * * [misc]progress: [ 298 / 310 ] simplifiying candidate # 1538422358.181 * * * * [misc]progress: [ 299 / 310 ] simplifiying candidate # 1538422358.182 * [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))))))))))))))) 1538422358.182 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422358.182 * * * * [misc]progress: [ 300 / 310 ] simplifiying candidate # 1538422358.182 * [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)))))))) 1538422358.182 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422358.182 * * * * [misc]progress: [ 301 / 310 ] simplifiying candidate # 1538422358.182 * [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)))))))) 1538422358.182 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422358.182 * * * * [misc]progress: [ 302 / 310 ] simplifiying candidate # 1538422358.182 * [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)))))))))))) 1538422358.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538422358.182 * * * * [misc]progress: [ 303 / 310 ] simplifiying candidate # 1538422358.182 * [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))))))))))) 1538422358.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538422358.182 * * * * [misc]progress: [ 304 / 310 ] simplifiying candidate # 1538422358.182 * [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))))))))) 1538422358.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538422358.183 * * * * [misc]progress: [ 305 / 310 ] simplifiying candidate # 1538422358.183 * [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))))) 1538422358.183 * * [misc]simplify: iters left: 6 (35 enodes) 1538422358.190 * * [misc]simplify: iters left: 5 (102 enodes) 1538422358.210 * * [misc]simplify: iters left: 4 (321 enodes) 1538422358.344 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1538422358.344 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1538422358.344 * * * * [misc]progress: [ 306 / 310 ] simplifiying candidate # 1538422358.344 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538422358.344 * * [misc]simplify: iters left: 6 (13 enodes) 1538422358.347 * * [misc]simplify: iters left: 5 (27 enodes) 1538422358.351 * * [misc]simplify: iters left: 4 (53 enodes) 1538422358.363 * * [misc]simplify: iters left: 3 (124 enodes) 1538422358.397 * * [misc]simplify: iters left: 2 (394 enodes) 1538422358.882 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1538422358.882 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1538422358.882 * * * * [misc]progress: [ 307 / 310 ] simplifiying candidate # 1538422358.883 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538422358.883 * * [misc]simplify: iters left: 6 (13 enodes) 1538422358.888 * * [misc]simplify: iters left: 5 (24 enodes) 1538422358.894 * * [misc]simplify: iters left: 4 (54 enodes) 1538422358.905 * * [misc]simplify: iters left: 3 (151 enodes) 1538422358.967 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1538422358.967 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1538422358.967 * * * * [misc]progress: [ 308 / 310 ] simplifiying candidate # 1538422358.967 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422358.968 * * [misc]simplify: iters left: 6 (8 enodes) 1538422358.969 * * [misc]simplify: iters left: 5 (17 enodes) 1538422358.972 * * [misc]simplify: iters left: 4 (38 enodes) 1538422358.982 * * [misc]simplify: iters left: 3 (68 enodes) 1538422359.004 * * [misc]simplify: iters left: 2 (90 enodes) 1538422359.021 * * [misc]simplify: iters left: 1 (105 enodes) 1538422359.051 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1538422359.051 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422359.051 * * * * [misc]progress: [ 309 / 310 ] simplifiying candidate # 1538422359.052 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422359.052 * * [misc]simplify: iters left: 6 (8 enodes) 1538422359.055 * * [misc]simplify: iters left: 5 (17 enodes) 1538422359.061 * * [misc]simplify: iters left: 4 (38 enodes) 1538422359.074 * * [misc]simplify: iters left: 3 (68 enodes) 1538422359.093 * * [misc]simplify: iters left: 2 (90 enodes) 1538422359.117 * * [misc]simplify: iters left: 1 (105 enodes) 1538422359.153 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1538422359.153 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422359.153 * * * * [misc]progress: [ 310 / 310 ] simplifiying candidate # 1538422359.153 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422359.153 * * [misc]simplify: iters left: 6 (8 enodes) 1538422359.155 * * [misc]simplify: iters left: 5 (17 enodes) 1538422359.158 * * [misc]simplify: iters left: 4 (38 enodes) 1538422359.165 * * [misc]simplify: iters left: 3 (68 enodes) 1538422359.181 * * [misc]simplify: iters left: 2 (90 enodes) 1538422359.204 * * [misc]simplify: iters left: 1 (105 enodes) 1538422359.254 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1538422359.254 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538422359.254 * * * [misc]progress: adding candidates to table 1538422363.395 * * [misc]progress: iteration 4 / 4 1538422363.395 * * * [misc]progress: picking best candidate 1538422363.439 * * * * [misc]pick: Picked # 1538422363.439 * * * [misc]progress: localizing error 1538422363.492 * * * [misc]progress: generating rewritten candidates 1538422363.492 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1538422363.495 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1538422363.506 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1538422363.553 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1538422363.574 * * * [misc]progress: generating series expansions 1538422363.574 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1538422363.574 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 n))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) 1538422363.574 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in (n) around 0 1538422363.574 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in n 1538422363.574 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538422363.574 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.574 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.574 * [misc]backup-simplify: Simplify 2 into 2 1538422363.575 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.575 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.575 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.575 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422363.575 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422363.575 * [misc]taylor: Taking taylor expansion of n in n 1538422363.575 * [misc]backup-simplify: Simplify 0 into 0 1538422363.575 * [misc]backup-simplify: Simplify 1 into 1 1538422363.576 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422363.576 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.576 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422363.576 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in n 1538422363.576 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538422363.576 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.576 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.576 * [misc]backup-simplify: Simplify 2 into 2 1538422363.577 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.577 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.577 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.577 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538422363.577 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538422363.577 * [misc]taylor: Taking taylor expansion of n in n 1538422363.577 * [misc]backup-simplify: Simplify 0 into 0 1538422363.577 * [misc]backup-simplify: Simplify 1 into 1 1538422363.578 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422363.578 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.578 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422363.579 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1538422363.579 * [misc]backup-simplify: Simplify 0 into 0 1538422363.579 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1538422363.580 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.581 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.581 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422363.582 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422363.583 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.584 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538422363.585 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.585 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.586 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.587 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422363.587 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422363.588 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538422363.589 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.589 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.592 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow n 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) n) (- (* +nan.0 (/ 1 (sqrt 2)))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (+ (* +nan.0 (/ n (sqrt 2))) (- (* +nan.0 (/ (pow n 2) (sqrt 2)))))))) 1538422363.592 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 (/ 1 n)))) into (* (/ 1 (sqrt 2)) (sqrt n)) 1538422363.592 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in (n) around 0 1538422363.592 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in n 1538422363.592 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538422363.592 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.592 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.592 * [misc]backup-simplify: Simplify 2 into 2 1538422363.592 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.593 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.593 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.593 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1538422363.593 * [misc]taylor: Taking taylor expansion of n in n 1538422363.593 * [misc]backup-simplify: Simplify 0 into 0 1538422363.593 * [misc]backup-simplify: Simplify 1 into 1 1538422363.593 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.594 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422363.594 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in n 1538422363.594 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538422363.594 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.594 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.594 * [misc]backup-simplify: Simplify 2 into 2 1538422363.594 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.594 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.594 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.594 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1538422363.594 * [misc]taylor: Taking taylor expansion of n in n 1538422363.595 * [misc]backup-simplify: Simplify 0 into 0 1538422363.595 * [misc]backup-simplify: Simplify 1 into 1 1538422363.595 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.595 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538422363.595 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1538422363.595 * [misc]backup-simplify: Simplify 0 into 0 1538422363.596 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1538422363.597 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.597 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.598 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422363.600 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.600 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538422363.601 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.602 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.603 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422363.603 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422363.604 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538422363.605 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.606 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.608 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow (/ 1 n) 3)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow (/ 1 n) 2)) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (/ 1 n)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (* +nan.0 (/ 1 (* (sqrt 2) n)))))))) 1538422363.608 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 (/ 1 (- n))))) into (/ 1 (sqrt (/ -2 n))) 1538422363.608 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in (n) around 0 1538422363.609 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1538422363.609 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538422363.609 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422363.609 * [misc]taylor: Taking taylor expansion of -2 in n 1538422363.609 * [misc]backup-simplify: Simplify -2 into -2 1538422363.609 * [misc]taylor: Taking taylor expansion of n in n 1538422363.609 * [misc]backup-simplify: Simplify 0 into 0 1538422363.609 * [misc]backup-simplify: Simplify 1 into 1 1538422363.609 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422363.609 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.610 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538422363.610 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1538422363.610 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1538422363.610 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538422363.610 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422363.610 * [misc]taylor: Taking taylor expansion of -2 in n 1538422363.610 * [misc]backup-simplify: Simplify -2 into -2 1538422363.610 * [misc]taylor: Taking taylor expansion of n in n 1538422363.610 * [misc]backup-simplify: Simplify 0 into 0 1538422363.610 * [misc]backup-simplify: Simplify 1 into 1 1538422363.610 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422363.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.611 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538422363.611 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1538422363.612 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.612 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422363.613 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422363.614 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1538422363.614 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1538422363.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.615 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538422363.617 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1538422363.617 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1538422363.617 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- n)) 2)) (+ (* (- +nan.0) (/ 1 (- n))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1538422363.617 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1538422363.618 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) into (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) 1538422363.618 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in (n k) around 0 1538422363.618 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in k 1538422363.618 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in k 1538422363.618 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in k 1538422363.618 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.618 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.618 * [misc]backup-simplify: Simplify 2 into 2 1538422363.618 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.618 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.618 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538422363.619 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538422363.619 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538422363.619 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538422363.619 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422363.619 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.619 * [misc]taylor: Taking taylor expansion of k in k 1538422363.619 * [misc]backup-simplify: Simplify 0 into 0 1538422363.619 * [misc]backup-simplify: Simplify 1 into 1 1538422363.619 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422363.619 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422363.619 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.619 * [misc]backup-simplify: Simplify 2 into 2 1538422363.619 * [misc]taylor: Taking taylor expansion of n in k 1538422363.619 * [misc]backup-simplify: Simplify n into n 1538422363.619 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422363.619 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422363.619 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422363.619 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.619 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538422363.620 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538422363.621 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538422363.621 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422363.621 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422363.621 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538422363.621 * [misc]backup-simplify: Simplify (exp 0) into 1 1538422363.622 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538422363.622 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.622 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538422363.622 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538422363.622 * [misc]taylor: Taking taylor expansion of k in k 1538422363.622 * [misc]backup-simplify: Simplify 0 into 0 1538422363.622 * [misc]backup-simplify: Simplify 1 into 1 1538422363.622 * [misc]taylor: Taking taylor expansion of n in k 1538422363.622 * [misc]backup-simplify: Simplify n into n 1538422363.622 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538422363.623 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.623 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538422363.623 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1538422363.623 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1538422363.623 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1538422363.623 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.623 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.623 * [misc]backup-simplify: Simplify 2 into 2 1538422363.623 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.623 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.623 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538422363.624 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538422363.624 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538422363.624 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538422363.624 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422363.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.624 * [misc]taylor: Taking taylor expansion of k in n 1538422363.624 * [misc]backup-simplify: Simplify k into k 1538422363.624 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422363.624 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422363.624 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.624 * [misc]backup-simplify: Simplify 2 into 2 1538422363.624 * [misc]taylor: Taking taylor expansion of n in n 1538422363.624 * [misc]backup-simplify: Simplify 0 into 0 1538422363.624 * [misc]backup-simplify: Simplify 1 into 1 1538422363.624 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422363.624 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422363.624 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.624 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422363.625 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.625 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.625 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538422363.625 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538422363.626 * [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)))) 1538422363.626 * [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))))) 1538422363.626 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538422363.626 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538422363.626 * [misc]taylor: Taking taylor expansion of k in n 1538422363.626 * [misc]backup-simplify: Simplify k into k 1538422363.626 * [misc]taylor: Taking taylor expansion of n in n 1538422363.626 * [misc]backup-simplify: Simplify 0 into 0 1538422363.627 * [misc]backup-simplify: Simplify 1 into 1 1538422363.627 * [misc]backup-simplify: Simplify (/ k 1) into k 1538422363.627 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.627 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538422363.627 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1538422363.627 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1538422363.627 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1538422363.627 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.627 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.627 * [misc]backup-simplify: Simplify 2 into 2 1538422363.627 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.628 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538422363.628 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538422363.628 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538422363.628 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538422363.628 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422363.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.628 * [misc]taylor: Taking taylor expansion of k in n 1538422363.628 * [misc]backup-simplify: Simplify k into k 1538422363.628 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422363.628 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422363.628 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.628 * [misc]backup-simplify: Simplify 2 into 2 1538422363.628 * [misc]taylor: Taking taylor expansion of n in n 1538422363.628 * [misc]backup-simplify: Simplify 0 into 0 1538422363.628 * [misc]backup-simplify: Simplify 1 into 1 1538422363.628 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422363.628 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422363.628 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.629 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422363.629 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.629 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.629 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538422363.629 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538422363.630 * [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)))) 1538422363.630 * [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))))) 1538422363.630 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538422363.630 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538422363.630 * [misc]taylor: Taking taylor expansion of k in n 1538422363.631 * [misc]backup-simplify: Simplify k into k 1538422363.631 * [misc]taylor: Taking taylor expansion of n in n 1538422363.631 * [misc]backup-simplify: Simplify 0 into 0 1538422363.631 * [misc]backup-simplify: Simplify 1 into 1 1538422363.631 * [misc]backup-simplify: Simplify (/ k 1) into k 1538422363.631 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.631 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538422363.632 * [misc]backup-simplify: Simplify (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) 0) into 0 1538422363.632 * [misc]taylor: Taking taylor expansion of 0 in k 1538422363.632 * [misc]backup-simplify: Simplify 0 into 0 1538422363.632 * [misc]backup-simplify: Simplify 0 into 0 1538422363.632 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.632 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422363.635 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422363.635 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538422363.635 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.635 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.636 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538422363.637 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422363.637 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k))))) into 0 1538422363.638 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538422363.639 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 k)) (* 0 0)) into (- (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538422363.639 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538422363.639 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538422363.639 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.639 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.639 * [misc]taylor: Taking taylor expansion of (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538422363.639 * [misc]taylor: Taking taylor expansion of k in k 1538422363.639 * [misc]backup-simplify: Simplify 0 into 0 1538422363.639 * [misc]backup-simplify: Simplify 1 into 1 1538422363.639 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538422363.639 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.639 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.639 * [misc]backup-simplify: Simplify 2 into 2 1538422363.639 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.640 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.640 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538422363.640 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538422363.640 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538422363.640 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422363.640 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538422363.640 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538422363.640 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422363.640 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.640 * [misc]backup-simplify: Simplify 2 into 2 1538422363.640 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.640 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.640 * [misc]taylor: Taking taylor expansion of n in k 1538422363.640 * [misc]backup-simplify: Simplify n into n 1538422363.640 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.640 * [misc]taylor: Taking taylor expansion of k in k 1538422363.640 * [misc]backup-simplify: Simplify 0 into 0 1538422363.640 * [misc]backup-simplify: Simplify 1 into 1 1538422363.640 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538422363.640 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538422363.640 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538422363.642 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422363.642 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422363.642 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.643 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538422363.643 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538422363.643 * [misc]backup-simplify: Simplify (exp 0) into 1 1538422363.643 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538422363.643 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.643 * [misc]backup-simplify: Simplify 0 into 0 1538422363.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)))) into 0 1538422363.644 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 k) 2) (+)) (* 2 0)) into (* +nan.0 (pow k 2)) 1538422363.644 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.644 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422363.647 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422363.647 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.647 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538422363.647 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.647 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.648 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538422363.649 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422363.650 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.650 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) into 0 1538422363.651 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538422363.651 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))) into (- (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538422363.651 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538422363.651 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538422363.651 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.651 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.651 * [misc]taylor: Taking taylor expansion of (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538422363.651 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1538422363.651 * [misc]taylor: Taking taylor expansion of k in k 1538422363.651 * [misc]backup-simplify: Simplify 0 into 0 1538422363.651 * [misc]backup-simplify: Simplify 1 into 1 1538422363.651 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538422363.651 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.651 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.652 * [misc]backup-simplify: Simplify 2 into 2 1538422363.652 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.652 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.652 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538422363.652 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538422363.652 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538422363.652 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422363.652 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538422363.652 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538422363.652 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422363.652 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.652 * [misc]backup-simplify: Simplify 2 into 2 1538422363.652 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.652 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.652 * [misc]taylor: Taking taylor expansion of n in k 1538422363.652 * [misc]backup-simplify: Simplify n into n 1538422363.652 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.652 * [misc]taylor: Taking taylor expansion of k in k 1538422363.652 * [misc]backup-simplify: Simplify 0 into 0 1538422363.652 * [misc]backup-simplify: Simplify 1 into 1 1538422363.652 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538422363.652 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538422363.653 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538422363.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422363.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422363.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.655 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538422363.655 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538422363.655 * [misc]backup-simplify: Simplify (exp 0) into 1 1538422363.655 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.655 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538422363.656 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.656 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1538422363.656 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.658 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.658 * [misc]backup-simplify: Simplify 0 into 0 1538422363.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.659 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 2)))))) (* 2 0)) into (* +nan.0 (pow k 3)) 1538422363.659 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538422363.663 * [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 1538422363.664 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.664 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538422363.664 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.664 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.665 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1538422363.667 * [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 1538422363.667 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422363.667 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) into 0 1538422363.668 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538422363.669 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538422363.669 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.669 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.669 * [misc]taylor: Taking taylor expansion of (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of k in k 1538422363.669 * [misc]backup-simplify: Simplify 0 into 0 1538422363.669 * [misc]backup-simplify: Simplify 1 into 1 1538422363.669 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.669 * [misc]backup-simplify: Simplify 2 into 2 1538422363.669 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.669 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.669 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538422363.669 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538422363.670 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422363.670 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538422363.670 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538422363.670 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422363.670 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.670 * [misc]backup-simplify: Simplify 2 into 2 1538422363.670 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.670 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.670 * [misc]taylor: Taking taylor expansion of n in k 1538422363.670 * [misc]backup-simplify: Simplify n into n 1538422363.670 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.670 * [misc]taylor: Taking taylor expansion of k in k 1538422363.670 * [misc]backup-simplify: Simplify 0 into 0 1538422363.670 * [misc]backup-simplify: Simplify 1 into 1 1538422363.670 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538422363.670 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538422363.670 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538422363.672 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422363.673 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422363.673 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.673 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538422363.674 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538422363.674 * [misc]backup-simplify: Simplify (exp 0) into 1 1538422363.674 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.675 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.675 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538422363.675 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.676 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538422363.677 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1 (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 0 1)) into (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log n))))) 1538422363.679 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log n))))) (sqrt 2))))) into (+ (* 1/2 (/ (log 2) (sqrt 2))) (* 1/2 (/ (log n) (sqrt 2)))) 1538422363.680 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* 1/2 (/ (log 2) (sqrt 2))) (* 1/2 (/ (log n) (sqrt 2))))) (* 0 (/ 1 (sqrt 2)))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1538422363.681 * [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)))))) 1538422363.682 * [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)))))) 1538422363.682 * [misc]backup-simplify: Simplify 0 into 0 1538422363.683 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.683 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow k 2)) 2) (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 3)))))) (* 2 0)) into (* +nan.0 (pow k 4)) 1538422363.684 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.684 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538422363.695 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into 0 1538422363.695 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.696 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.696 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1538422363.697 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.697 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.698 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))))) into 0 1538422363.703 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422363.704 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422363.705 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538422363.707 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538422363.708 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 4))) (+ (* 0 (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))))) into (- (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538422363.708 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538422363.708 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538422363.708 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.708 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.708 * [misc]taylor: Taking taylor expansion of (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538422363.708 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1538422363.708 * [misc]taylor: Taking taylor expansion of k in k 1538422363.708 * [misc]backup-simplify: Simplify 0 into 0 1538422363.708 * [misc]backup-simplify: Simplify 1 into 1 1538422363.709 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.709 * [misc]backup-simplify: Simplify 2 into 2 1538422363.709 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.709 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.709 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538422363.709 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422363.709 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.709 * [misc]backup-simplify: Simplify 2 into 2 1538422363.709 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.709 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.709 * [misc]taylor: Taking taylor expansion of n in k 1538422363.709 * [misc]backup-simplify: Simplify n into n 1538422363.710 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.710 * [misc]taylor: Taking taylor expansion of k in k 1538422363.710 * [misc]backup-simplify: Simplify 0 into 0 1538422363.710 * [misc]backup-simplify: Simplify 1 into 1 1538422363.710 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538422363.710 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538422363.710 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538422363.713 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422363.714 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538422363.714 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.714 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538422363.714 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538422363.715 * [misc]backup-simplify: Simplify (exp 0) into 1 1538422363.715 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.715 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.715 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538422363.716 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538422363.716 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1538422363.717 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.717 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538422363.721 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (pow k 2) n)) (+ (* (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) (pow (* k 1) 2)) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* k 1)))) into (- (+ (* +nan.0 (/ (* n (pow k 2)) (sqrt 2))) (- (+ (* +nan.0 (/ k (sqrt 2))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (sqrt 2)))))))))) 1538422363.721 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 (/ 1 n)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2))))) into (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) 1538422363.721 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in (n k) around 0 1538422363.721 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in k 1538422363.721 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in k 1538422363.722 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in k 1538422363.722 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.722 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.722 * [misc]backup-simplify: Simplify 2 into 2 1538422363.722 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.722 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538422363.722 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422363.722 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422363.722 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538422363.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422363.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422363.723 * [misc]taylor: Taking taylor expansion of k in k 1538422363.723 * [misc]backup-simplify: Simplify 0 into 0 1538422363.723 * [misc]backup-simplify: Simplify 1 into 1 1538422363.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422363.723 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422363.723 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422363.723 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.723 * [misc]backup-simplify: Simplify 2 into 2 1538422363.723 * [misc]taylor: Taking taylor expansion of n in k 1538422363.723 * [misc]backup-simplify: Simplify n into n 1538422363.723 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422363.723 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422363.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422363.724 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422363.724 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422363.724 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538422363.724 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (/ 2 n)) k)))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) 1538422363.725 * [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))) 1538422363.725 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538422363.725 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538422363.725 * [misc]taylor: Taking taylor expansion of n in k 1538422363.725 * [misc]backup-simplify: Simplify n into n 1538422363.725 * [misc]taylor: Taking taylor expansion of k in k 1538422363.725 * [misc]backup-simplify: Simplify 0 into 0 1538422363.725 * [misc]backup-simplify: Simplify 1 into 1 1538422363.725 * [misc]backup-simplify: Simplify (/ n 1) into n 1538422363.725 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.725 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538422363.725 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1538422363.725 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1538422363.725 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1538422363.725 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.726 * [misc]backup-simplify: Simplify 2 into 2 1538422363.726 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.726 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of k in n 1538422363.726 * [misc]backup-simplify: Simplify k into k 1538422363.726 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422363.726 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422363.726 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.727 * [misc]backup-simplify: Simplify 2 into 2 1538422363.727 * [misc]taylor: Taking taylor expansion of n in n 1538422363.727 * [misc]backup-simplify: Simplify 0 into 0 1538422363.727 * [misc]backup-simplify: Simplify 1 into 1 1538422363.727 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422363.727 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.727 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422363.727 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422363.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422363.728 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538422363.728 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.729 * [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)))) 1538422363.729 * [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))))) 1538422363.729 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538422363.729 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538422363.729 * [misc]taylor: Taking taylor expansion of n in n 1538422363.729 * [misc]backup-simplify: Simplify 0 into 0 1538422363.729 * [misc]backup-simplify: Simplify 1 into 1 1538422363.729 * [misc]taylor: Taking taylor expansion of k in n 1538422363.729 * [misc]backup-simplify: Simplify k into k 1538422363.729 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422363.730 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.730 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538422363.730 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1538422363.730 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1538422363.730 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1538422363.730 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.730 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.730 * [misc]backup-simplify: Simplify 2 into 2 1538422363.730 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.731 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.731 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of k in n 1538422363.731 * [misc]backup-simplify: Simplify k into k 1538422363.731 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422363.731 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422363.731 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.731 * [misc]backup-simplify: Simplify 2 into 2 1538422363.731 * [misc]taylor: Taking taylor expansion of n in n 1538422363.731 * [misc]backup-simplify: Simplify 0 into 0 1538422363.731 * [misc]backup-simplify: Simplify 1 into 1 1538422363.731 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422363.732 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.732 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422363.732 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422363.732 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422363.732 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538422363.733 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.733 * [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)))) 1538422363.734 * [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))))) 1538422363.734 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538422363.734 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538422363.734 * [misc]taylor: Taking taylor expansion of n in n 1538422363.734 * [misc]backup-simplify: Simplify 0 into 0 1538422363.734 * [misc]backup-simplify: Simplify 1 into 1 1538422363.734 * [misc]taylor: Taking taylor expansion of k in n 1538422363.734 * [misc]backup-simplify: Simplify k into k 1538422363.734 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422363.734 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.734 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538422363.735 * [misc]backup-simplify: Simplify (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 0) into 0 1538422363.735 * [misc]taylor: Taking taylor expansion of 0 in k 1538422363.735 * [misc]backup-simplify: Simplify 0 into 0 1538422363.735 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422363.736 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422363.738 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422363.739 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422363.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422363.739 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.739 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422363.740 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538422363.741 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422363.742 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538422363.743 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.744 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 k)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))))) 1538422363.744 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))))) in k 1538422363.744 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k)))) in k 1538422363.744 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.744 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.744 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))) in k 1538422363.744 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k)) in k 1538422363.744 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.744 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.744 * [misc]backup-simplify: Simplify 2 into 2 1538422363.744 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.745 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k) in k 1538422363.745 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538422363.745 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538422363.745 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538422363.745 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422363.745 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538422363.745 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538422363.745 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422363.745 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.745 * [misc]backup-simplify: Simplify 2 into 2 1538422363.745 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.745 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.745 * [misc]taylor: Taking taylor expansion of n in k 1538422363.745 * [misc]backup-simplify: Simplify n into n 1538422363.745 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.745 * [misc]taylor: Taking taylor expansion of k in k 1538422363.745 * [misc]backup-simplify: Simplify 0 into 0 1538422363.745 * [misc]backup-simplify: Simplify 1 into 1 1538422363.745 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422363.746 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538422363.746 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538422363.746 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538422363.746 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.746 * [misc]taylor: Taking taylor expansion of k in k 1538422363.746 * [misc]backup-simplify: Simplify 0 into 0 1538422363.746 * [misc]backup-simplify: Simplify 1 into 1 1538422363.747 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) into 0 1538422363.747 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422363.747 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.748 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) (* 0 0)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538422363.748 * [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))))) 1538422363.748 * [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))))) 1538422363.749 * [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))))))) 1538422363.749 * [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))))))) 1538422363.749 * [misc]backup-simplify: Simplify 0 into 0 1538422363.749 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422363.749 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 k) 2) (+)) (* 2 0)) into (/ +nan.0 (pow k 2)) 1538422363.749 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422363.750 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.752 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422363.752 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.752 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422363.753 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422363.753 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.753 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422363.753 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538422363.754 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422363.755 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.756 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538422363.756 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.757 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))))) 1538422363.757 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))))) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2))))) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.757 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.757 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2))) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.757 * [misc]backup-simplify: Simplify 2 into 2 1538422363.757 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.757 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.757 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538422363.757 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538422363.758 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422363.758 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538422363.758 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538422363.758 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422363.758 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.758 * [misc]backup-simplify: Simplify 2 into 2 1538422363.758 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.758 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.758 * [misc]taylor: Taking taylor expansion of n in k 1538422363.758 * [misc]backup-simplify: Simplify n into n 1538422363.758 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.758 * [misc]taylor: Taking taylor expansion of k in k 1538422363.758 * [misc]backup-simplify: Simplify 0 into 0 1538422363.758 * [misc]backup-simplify: Simplify 1 into 1 1538422363.758 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422363.758 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538422363.758 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538422363.758 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538422363.758 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.758 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1538422363.758 * [misc]taylor: Taking taylor expansion of k in k 1538422363.759 * [misc]backup-simplify: Simplify 0 into 0 1538422363.759 * [misc]backup-simplify: Simplify 1 into 1 1538422363.759 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.759 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.759 * [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)))) 1538422363.759 * [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))))) 1538422363.760 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538422363.761 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 1)) into 0 1538422363.762 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538422363.763 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.763 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538422363.763 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.764 * [misc]backup-simplify: Simplify 0 into 0 1538422363.764 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1538422363.766 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.766 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))) (* 0 0))) into 0 1538422363.767 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.768 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538422363.768 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.768 * [misc]backup-simplify: Simplify 0 into 0 1538422363.768 * [misc]backup-simplify: Simplify 0 into 0 1538422363.768 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422363.769 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 k) (/ +nan.0 (pow k 2)))))) (* 2 0)) into (/ +nan.0 (pow k 3)) 1538422363.769 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422363.769 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.776 * [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 1538422363.776 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.777 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.777 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422363.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538422363.777 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422363.778 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538422363.782 * [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 1538422363.782 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422363.783 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538422363.785 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.785 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 (pow k 3))) (+ (* 0 (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))))) 1538422363.785 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))))) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3))))) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.786 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.786 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3))) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.786 * [misc]backup-simplify: Simplify 2 into 2 1538422363.786 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.786 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.786 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538422363.786 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422363.786 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538422363.786 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.786 * [misc]backup-simplify: Simplify 2 into 2 1538422363.787 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.787 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.787 * [misc]taylor: Taking taylor expansion of n in k 1538422363.787 * [misc]backup-simplify: Simplify n into n 1538422363.787 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.787 * [misc]taylor: Taking taylor expansion of k in k 1538422363.787 * [misc]backup-simplify: Simplify 0 into 0 1538422363.787 * [misc]backup-simplify: Simplify 1 into 1 1538422363.787 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422363.787 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538422363.787 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538422363.788 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538422363.788 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.788 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1538422363.788 * [misc]taylor: Taking taylor expansion of k in k 1538422363.788 * [misc]backup-simplify: Simplify 0 into 0 1538422363.788 * [misc]backup-simplify: Simplify 1 into 1 1538422363.788 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.788 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422363.789 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422363.789 * [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)))) 1538422363.789 * [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))))) 1538422363.790 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538422363.790 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538422363.790 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538422363.791 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538422363.791 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0 1538422363.792 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 1)) into 0 1538422363.793 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.794 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538422363.794 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538422363.795 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.797 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.797 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.797 * [misc]backup-simplify: Simplify 0 into 0 1538422363.798 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538422363.798 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0 1538422363.800 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.800 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538422363.803 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.804 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538422363.804 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.804 * [misc]backup-simplify: Simplify 0 into 0 1538422363.805 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (/ 1 (/ 1 k)) (/ 1 n))) into (* +nan.0 (/ k (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n)))) 1538422363.805 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 (/ 1 (- n))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) 1538422363.805 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in (n k) around 0 1538422363.805 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in k 1538422363.806 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422363.806 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422363.806 * [misc]taylor: Taking taylor expansion of -1 in k 1538422363.806 * [misc]backup-simplify: Simplify -1 into -1 1538422363.806 * [misc]taylor: Taking taylor expansion of k in k 1538422363.806 * [misc]backup-simplify: Simplify 0 into 0 1538422363.806 * [misc]backup-simplify: Simplify 1 into 1 1538422363.806 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422363.806 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.807 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422363.807 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of -2 in k 1538422363.807 * [misc]backup-simplify: Simplify -2 into -2 1538422363.807 * [misc]taylor: Taking taylor expansion of n in k 1538422363.807 * [misc]backup-simplify: Simplify n into n 1538422363.807 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422363.807 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538422363.807 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538422363.807 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538422363.807 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.807 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422363.807 * [misc]taylor: Taking taylor expansion of k in k 1538422363.807 * [misc]backup-simplify: Simplify 0 into 0 1538422363.808 * [misc]backup-simplify: Simplify 1 into 1 1538422363.808 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422363.808 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422363.808 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422363.808 * [misc]taylor: Taking taylor expansion of -2 in k 1538422363.808 * [misc]backup-simplify: Simplify -2 into -2 1538422363.808 * [misc]taylor: Taking taylor expansion of n in k 1538422363.808 * [misc]backup-simplify: Simplify n into n 1538422363.808 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422363.808 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422363.808 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422363.808 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422363.808 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538422363.809 * [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)))) 1538422363.809 * [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))))) 1538422363.809 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1538422363.809 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422363.809 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422363.809 * [misc]taylor: Taking taylor expansion of -1 in n 1538422363.809 * [misc]backup-simplify: Simplify -1 into -1 1538422363.809 * [misc]taylor: Taking taylor expansion of k in n 1538422363.809 * [misc]backup-simplify: Simplify k into k 1538422363.809 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422363.809 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422363.809 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422363.810 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422363.810 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1538422363.810 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538422363.810 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422363.810 * [misc]taylor: Taking taylor expansion of -2 in n 1538422363.810 * [misc]backup-simplify: Simplify -2 into -2 1538422363.810 * [misc]taylor: Taking taylor expansion of n in n 1538422363.810 * [misc]backup-simplify: Simplify 0 into 0 1538422363.810 * [misc]backup-simplify: Simplify 1 into 1 1538422363.810 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422363.810 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.811 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538422363.811 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538422363.811 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538422363.811 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538422363.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422363.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422363.811 * [misc]taylor: Taking taylor expansion of k in n 1538422363.811 * [misc]backup-simplify: Simplify k into k 1538422363.811 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422363.811 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422363.811 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422363.811 * [misc]taylor: Taking taylor expansion of -2 in n 1538422363.811 * [misc]backup-simplify: Simplify -2 into -2 1538422363.811 * [misc]taylor: Taking taylor expansion of n in n 1538422363.811 * [misc]backup-simplify: Simplify 0 into 0 1538422363.811 * [misc]backup-simplify: Simplify 1 into 1 1538422363.812 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422363.812 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422363.812 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422363.812 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422363.812 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538422363.813 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538422363.813 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1538422363.813 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422363.816 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422363.816 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422363.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422363.816 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422363.817 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538422363.818 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422363.818 * [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))))) 1538422363.819 * [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))))) 1538422363.819 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1538422363.819 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422363.819 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422363.819 * [misc]taylor: Taking taylor expansion of -1 in n 1538422363.819 * [misc]backup-simplify: Simplify -1 into -1 1538422363.819 * [misc]taylor: Taking taylor expansion of k in n 1538422363.819 * [misc]backup-simplify: Simplify k into k 1538422363.819 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422363.819 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422363.819 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422363.819 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422363.820 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1538422363.820 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538422363.820 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422363.820 * [misc]taylor: Taking taylor expansion of -2 in n 1538422363.820 * [misc]backup-simplify: Simplify -2 into -2 1538422363.820 * [misc]taylor: Taking taylor expansion of n in n 1538422363.820 * [misc]backup-simplify: Simplify 0 into 0 1538422363.820 * [misc]backup-simplify: Simplify 1 into 1 1538422363.820 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422363.820 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.820 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538422363.821 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538422363.821 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538422363.821 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538422363.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422363.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422363.821 * [misc]taylor: Taking taylor expansion of k in n 1538422363.821 * [misc]backup-simplify: Simplify k into k 1538422363.821 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422363.821 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422363.821 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422363.821 * [misc]taylor: Taking taylor expansion of -2 in n 1538422363.821 * [misc]backup-simplify: Simplify -2 into -2 1538422363.821 * [misc]taylor: Taking taylor expansion of n in n 1538422363.821 * [misc]backup-simplify: Simplify 0 into 0 1538422363.821 * [misc]backup-simplify: Simplify 1 into 1 1538422363.821 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422363.822 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422363.822 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422363.822 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422363.822 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538422363.823 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538422363.823 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1538422363.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422363.826 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422363.826 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422363.826 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422363.826 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422363.827 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538422363.828 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422363.829 * [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))))) 1538422363.829 * [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))))) 1538422363.829 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) in k 1538422363.829 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.829 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.829 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))) in k 1538422363.829 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422363.829 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422363.829 * [misc]taylor: Taking taylor expansion of -1 in k 1538422363.829 * [misc]backup-simplify: Simplify -1 into -1 1538422363.829 * [misc]taylor: Taking taylor expansion of k in k 1538422363.829 * [misc]backup-simplify: Simplify 0 into 0 1538422363.829 * [misc]backup-simplify: Simplify 1 into 1 1538422363.830 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422363.830 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.830 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422363.830 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log -2) (log n)) k))) in k 1538422363.831 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log -2) (log n)) k)) in k 1538422363.831 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.831 * [misc]taylor: Taking taylor expansion of (/ (- (log -2) (log n)) k) in k 1538422363.831 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538422363.831 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538422363.831 * [misc]taylor: Taking taylor expansion of -2 in k 1538422363.831 * [misc]backup-simplify: Simplify -2 into -2 1538422363.831 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422363.831 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.831 * [misc]taylor: Taking taylor expansion of n in k 1538422363.831 * [misc]backup-simplify: Simplify n into n 1538422363.831 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.831 * [misc]taylor: Taking taylor expansion of k in k 1538422363.831 * [misc]backup-simplify: Simplify 0 into 0 1538422363.831 * [misc]backup-simplify: Simplify 1 into 1 1538422363.831 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422363.831 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538422363.832 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) 1) into (- (log -2) (log n)) 1538422363.832 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538422363.832 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538422363.832 * [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)))) 1538422363.833 * [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)))) 1538422363.833 * [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)))) 1538422363.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.838 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538422363.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422363.839 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422363.839 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422363.839 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538422363.841 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422363.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422363.843 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422363.844 * [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))))) 1538422363.845 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) (+ (* (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) (/ (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))))) into (- (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538422363.845 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) in k 1538422363.845 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) in k 1538422363.845 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538422363.845 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.845 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))) in k 1538422363.845 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422363.845 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422363.845 * [misc]taylor: Taking taylor expansion of -1 in k 1538422363.845 * [misc]backup-simplify: Simplify -1 into -1 1538422363.845 * [misc]taylor: Taking taylor expansion of k in k 1538422363.845 * [misc]backup-simplify: Simplify 0 into 0 1538422363.845 * [misc]backup-simplify: Simplify 1 into 1 1538422363.846 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422363.846 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.846 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422363.846 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log -2) (log n)) k))) in k 1538422363.846 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log -2) (log n)) k)) in k 1538422363.846 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.846 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.846 * [misc]taylor: Taking taylor expansion of (/ (- (log -2) (log n)) k) in k 1538422363.846 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538422363.846 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538422363.846 * [misc]taylor: Taking taylor expansion of -2 in k 1538422363.846 * [misc]backup-simplify: Simplify -2 into -2 1538422363.847 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422363.847 * [misc]taylor: Taking taylor expansion of (log n) in k 1538422363.847 * [misc]taylor: Taking taylor expansion of n in k 1538422363.847 * [misc]backup-simplify: Simplify n into n 1538422363.847 * [misc]backup-simplify: Simplify (log n) into (log n) 1538422363.847 * [misc]taylor: Taking taylor expansion of k in k 1538422363.847 * [misc]backup-simplify: Simplify 0 into 0 1538422363.847 * [misc]backup-simplify: Simplify 1 into 1 1538422363.847 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538422363.847 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538422363.847 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) 1) into (- (log -2) (log n)) 1538422363.848 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538422363.848 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538422363.848 * [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)))) 1538422363.848 * [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)))) 1538422363.849 * [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)))))) 1538422363.849 * [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)))))) 1538422363.849 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538422363.851 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422363.852 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) (+ (* (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538422363.852 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))) (* 0 (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538422363.853 * [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)))))) 1538422363.854 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ 1 (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k)))))))))) 1538422363.854 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1538422363.855 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) into (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) 1538422363.855 * [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 1538422363.855 * [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 1538422363.855 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1538422363.855 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.855 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.855 * [misc]backup-simplify: Simplify 2 into 2 1538422363.855 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.856 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.856 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.856 * [misc]taylor: Taking taylor expansion of k in n 1538422363.856 * [misc]backup-simplify: Simplify k into k 1538422363.856 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422363.856 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.856 * [misc]backup-simplify: Simplify 2 into 2 1538422363.856 * [misc]taylor: Taking taylor expansion of n in n 1538422363.856 * [misc]backup-simplify: Simplify 0 into 0 1538422363.856 * [misc]backup-simplify: Simplify 1 into 1 1538422363.856 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422363.856 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422363.857 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.857 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422363.857 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.857 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.857 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538422363.858 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538422363.858 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538422363.858 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538422363.858 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538422363.858 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538422363.858 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.858 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538422363.858 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422363.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.858 * [misc]taylor: Taking taylor expansion of k in n 1538422363.858 * [misc]backup-simplify: Simplify k into k 1538422363.858 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422363.858 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.858 * [misc]backup-simplify: Simplify PI into PI 1538422363.858 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422363.858 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538422363.858 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538422363.859 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538422363.859 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538422363.859 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538422363.859 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538422363.859 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538422363.859 * [misc]taylor: Taking taylor expansion of n in n 1538422363.859 * [misc]backup-simplify: Simplify 0 into 0 1538422363.859 * [misc]backup-simplify: Simplify 1 into 1 1538422363.859 * [misc]taylor: Taking taylor expansion of k in n 1538422363.860 * [misc]backup-simplify: Simplify k into k 1538422363.860 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422363.860 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.860 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538422363.860 * [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 1538422363.860 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1538422363.860 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.860 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.860 * [misc]backup-simplify: Simplify 2 into 2 1538422363.860 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.861 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.861 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.861 * [misc]taylor: Taking taylor expansion of k in k 1538422363.861 * [misc]backup-simplify: Simplify 0 into 0 1538422363.861 * [misc]backup-simplify: Simplify 1 into 1 1538422363.861 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422363.861 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.861 * [misc]backup-simplify: Simplify 2 into 2 1538422363.861 * [misc]taylor: Taking taylor expansion of n in k 1538422363.861 * [misc]backup-simplify: Simplify n into n 1538422363.861 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422363.861 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422363.861 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422363.862 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.862 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538422363.862 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.862 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538422363.863 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538422363.863 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422363.863 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422363.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538422363.864 * [misc]backup-simplify: Simplify (exp 0) into 1 1538422363.864 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422363.864 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422363.864 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422363.864 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422363.864 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.864 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422363.864 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.864 * [misc]taylor: Taking taylor expansion of k in k 1538422363.864 * [misc]backup-simplify: Simplify 0 into 0 1538422363.864 * [misc]backup-simplify: Simplify 1 into 1 1538422363.864 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422363.864 * [misc]taylor: Taking taylor expansion of PI in k 1538422363.864 * [misc]backup-simplify: Simplify PI into PI 1538422363.864 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422363.864 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422363.865 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.865 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422363.865 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422363.866 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422363.866 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538422363.866 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538422363.866 * [misc]taylor: Taking taylor expansion of n in k 1538422363.866 * [misc]backup-simplify: Simplify n into n 1538422363.866 * [misc]taylor: Taking taylor expansion of k in k 1538422363.866 * [misc]backup-simplify: Simplify 0 into 0 1538422363.866 * [misc]backup-simplify: Simplify 1 into 1 1538422363.866 * [misc]backup-simplify: Simplify (/ n 1) into n 1538422363.866 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.867 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538422363.867 * [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 1538422363.867 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.867 * [misc]backup-simplify: Simplify 2 into 2 1538422363.867 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.867 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.867 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422363.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.867 * [misc]taylor: Taking taylor expansion of k in k 1538422363.867 * [misc]backup-simplify: Simplify 0 into 0 1538422363.867 * [misc]backup-simplify: Simplify 1 into 1 1538422363.868 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538422363.868 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538422363.868 * [misc]taylor: Taking taylor expansion of 2 in k 1538422363.868 * [misc]backup-simplify: Simplify 2 into 2 1538422363.868 * [misc]taylor: Taking taylor expansion of n in k 1538422363.868 * [misc]backup-simplify: Simplify n into n 1538422363.868 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538422363.868 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538422363.868 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422363.868 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.868 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538422363.868 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.869 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538422363.869 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538422363.870 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422363.870 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422363.870 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538422363.870 * [misc]backup-simplify: Simplify (exp 0) into 1 1538422363.870 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538422363.870 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538422363.870 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422363.870 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422363.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.870 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422363.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422363.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422363.870 * [misc]taylor: Taking taylor expansion of k in k 1538422363.870 * [misc]backup-simplify: Simplify 0 into 0 1538422363.870 * [misc]backup-simplify: Simplify 1 into 1 1538422363.870 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422363.870 * [misc]taylor: Taking taylor expansion of PI in k 1538422363.871 * [misc]backup-simplify: Simplify PI into PI 1538422363.871 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422363.871 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422363.871 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.872 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422363.872 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422363.873 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538422363.873 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538422363.873 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538422363.873 * [misc]taylor: Taking taylor expansion of n in k 1538422363.873 * [misc]backup-simplify: Simplify n into n 1538422363.873 * [misc]taylor: Taking taylor expansion of k in k 1538422363.873 * [misc]backup-simplify: Simplify 0 into 0 1538422363.873 * [misc]backup-simplify: Simplify 1 into 1 1538422363.873 * [misc]backup-simplify: Simplify (/ n 1) into n 1538422363.873 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422363.874 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538422363.874 * [misc]backup-simplify: Simplify (* 1 (pow PI 1/2)) into (sqrt PI) 1538422363.875 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt PI)) into (* (sqrt 2) (sqrt PI)) 1538422363.876 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt PI)) 0) into 0 1538422363.876 * [misc]taylor: Taking taylor expansion of 0 in n 1538422363.876 * [misc]backup-simplify: Simplify 0 into 0 1538422363.876 * [misc]backup-simplify: Simplify 0 into 0 1538422363.878 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422363.879 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422363.879 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422363.879 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422363.880 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422363.883 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538422363.883 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (log (* 2 n))) 1538422363.885 * [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))))) 1538422363.887 * [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))))) 1538422363.890 * [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)))) 1538422363.890 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))) in n 1538422363.890 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) n) (sqrt PI))) in n 1538422363.891 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.891 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.891 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) n) (sqrt PI)) in n 1538422363.891 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1538422363.891 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.891 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.891 * [misc]backup-simplify: Simplify 2 into 2 1538422363.891 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.891 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.891 * [misc]taylor: Taking taylor expansion of n in n 1538422363.891 * [misc]backup-simplify: Simplify 0 into 0 1538422363.891 * [misc]backup-simplify: Simplify 1 into 1 1538422363.891 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422363.891 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.891 * [misc]backup-simplify: Simplify PI into PI 1538422363.892 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422363.892 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422363.892 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422363.893 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422363.893 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422363.893 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.893 * [misc]backup-simplify: Simplify 0 into 0 1538422363.893 * [misc]backup-simplify: Simplify 0 into 0 1538422363.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1538422363.894 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1538422363.899 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422363.899 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422363.899 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.901 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538422363.905 * [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))) 1538422363.905 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.905 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538422363.907 * [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 1538422363.907 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422363.907 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422363.907 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538422363.909 * [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)) 1538422363.912 * [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)))))) 1538422363.913 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422363.918 * [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))))) 1538422363.923 * [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)))))))) 1538422363.923 * [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 1538422363.923 * [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 1538422363.923 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) in n 1538422363.923 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.923 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.923 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 2)) (sqrt PI)) in n 1538422363.923 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1538422363.923 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.923 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.923 * [misc]backup-simplify: Simplify 2 into 2 1538422363.923 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.924 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.924 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538422363.924 * [misc]taylor: Taking taylor expansion of n in n 1538422363.924 * [misc]backup-simplify: Simplify 0 into 0 1538422363.924 * [misc]backup-simplify: Simplify 1 into 1 1538422363.924 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422363.924 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.924 * [misc]backup-simplify: Simplify PI into PI 1538422363.924 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422363.924 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422363.924 * [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 1538422363.924 * [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 1538422363.924 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) in n 1538422363.924 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.924 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.924 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) n)) (sqrt PI)) in n 1538422363.924 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) n)) in n 1538422363.924 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.925 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.925 * [misc]backup-simplify: Simplify 2 into 2 1538422363.925 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.925 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538422363.925 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422363.925 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.925 * [misc]backup-simplify: Simplify PI into PI 1538422363.925 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422363.925 * [misc]taylor: Taking taylor expansion of n in n 1538422363.925 * [misc]backup-simplify: Simplify 0 into 0 1538422363.925 * [misc]backup-simplify: Simplify 1 into 1 1538422363.925 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422363.925 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.925 * [misc]backup-simplify: Simplify PI into PI 1538422363.925 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422363.926 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422363.926 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.926 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.926 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) n)) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.926 * [misc]backup-simplify: Simplify 2 into 2 1538422363.926 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.926 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.926 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) n) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422363.926 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.926 * [misc]backup-simplify: Simplify 2 into 2 1538422363.926 * [misc]taylor: Taking taylor expansion of n in n 1538422363.926 * [misc]backup-simplify: Simplify 0 into 0 1538422363.926 * [misc]backup-simplify: Simplify 1 into 1 1538422363.926 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422363.926 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422363.927 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.927 * [misc]taylor: Taking taylor expansion of n in n 1538422363.927 * [misc]backup-simplify: Simplify 0 into 0 1538422363.927 * [misc]backup-simplify: Simplify 1 into 1 1538422363.927 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422363.927 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.927 * [misc]backup-simplify: Simplify PI into PI 1538422363.927 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422363.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422363.928 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538422363.928 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422363.928 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422363.928 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422363.928 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422363.929 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538422363.929 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422363.929 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422363.929 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422363.929 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.929 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.930 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.930 * [misc]backup-simplify: Simplify 0 into 0 1538422363.930 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1538422363.931 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (sqrt 2) (sqrt PI))) into (* (sqrt 2) (sqrt PI)) 1538422363.932 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538422363.934 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (sqrt PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538422363.935 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538422363.935 * [misc]backup-simplify: Simplify 0 into 0 1538422363.936 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422363.936 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1538422363.943 * [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 1538422363.944 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422363.944 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422363.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422363.953 * [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))) 1538422363.953 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.954 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538422363.956 * [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 1538422363.957 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422363.957 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422363.957 * [misc]backup-simplify: Simplify (- 0) into 0 1538422363.958 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538422363.959 * [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)) 1538422363.966 * [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))))))) 1538422363.967 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422363.976 * [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))))))) 1538422363.991 * [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)))))))))))))) 1538422363.991 * [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 1538422363.991 * [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 1538422363.991 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) in n 1538422363.992 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.992 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.992 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 3)) (sqrt PI)) in n 1538422363.992 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1538422363.992 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.992 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.992 * [misc]backup-simplify: Simplify 2 into 2 1538422363.992 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.992 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.992 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538422363.992 * [misc]taylor: Taking taylor expansion of n in n 1538422363.992 * [misc]backup-simplify: Simplify 0 into 0 1538422363.992 * [misc]backup-simplify: Simplify 1 into 1 1538422363.992 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422363.992 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.992 * [misc]backup-simplify: Simplify PI into PI 1538422363.993 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422363.993 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422363.993 * [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 1538422363.994 * [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 1538422363.994 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) in n 1538422363.994 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.994 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI)) in n 1538422363.994 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 2))) in n 1538422363.994 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.994 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.994 * [misc]backup-simplify: Simplify 2 into 2 1538422363.994 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.994 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.994 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1538422363.994 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422363.994 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.994 * [misc]backup-simplify: Simplify PI into PI 1538422363.995 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422363.995 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538422363.995 * [misc]taylor: Taking taylor expansion of n in n 1538422363.995 * [misc]backup-simplify: Simplify 0 into 0 1538422363.995 * [misc]backup-simplify: Simplify 1 into 1 1538422363.995 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422363.995 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.995 * [misc]backup-simplify: Simplify PI into PI 1538422363.995 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422363.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422363.996 * [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 1538422363.996 * [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 1538422363.996 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) in n 1538422363.996 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.996 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.996 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI)) in n 1538422363.996 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) in n 1538422363.996 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.996 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.996 * [misc]backup-simplify: Simplify 2 into 2 1538422363.996 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422363.997 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422363.997 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) n)) in n 1538422363.997 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422363.997 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422363.997 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.997 * [misc]backup-simplify: Simplify 2 into 2 1538422363.997 * [misc]taylor: Taking taylor expansion of n in n 1538422363.997 * [misc]backup-simplify: Simplify 0 into 0 1538422363.997 * [misc]backup-simplify: Simplify 1 into 1 1538422363.997 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422363.997 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422363.997 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422363.997 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538422363.997 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422363.997 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.997 * [misc]backup-simplify: Simplify PI into PI 1538422363.998 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422363.998 * [misc]taylor: Taking taylor expansion of n in n 1538422363.998 * [misc]backup-simplify: Simplify 0 into 0 1538422363.998 * [misc]backup-simplify: Simplify 1 into 1 1538422363.998 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422363.998 * [misc]taylor: Taking taylor expansion of PI in n 1538422363.998 * [misc]backup-simplify: Simplify PI into PI 1538422363.998 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422363.999 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422363.999 * [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 1538422363.999 * [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 1538422363.999 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) in n 1538422363.999 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422363.999 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422363.999 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI)) in n 1538422363.999 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) n)) in n 1538422363.999 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422363.999 * [misc]taylor: Taking taylor expansion of 2 in n 1538422363.999 * [misc]backup-simplify: Simplify 2 into 2 1538422363.999 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.000 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.000 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1538422364.000 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538422364.000 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.000 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.000 * [misc]backup-simplify: Simplify PI into PI 1538422364.000 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.000 * [misc]taylor: Taking taylor expansion of n in n 1538422364.000 * [misc]backup-simplify: Simplify 0 into 0 1538422364.000 * [misc]backup-simplify: Simplify 1 into 1 1538422364.000 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.000 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.000 * [misc]backup-simplify: Simplify PI into PI 1538422364.000 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.001 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.001 * [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 1538422364.001 * [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 1538422364.001 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) in n 1538422364.001 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.001 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.001 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI)) in n 1538422364.001 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) in n 1538422364.002 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.002 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.002 * [misc]backup-simplify: Simplify 2 into 2 1538422364.002 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.002 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.002 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 2)) in n 1538422364.002 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.002 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.002 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.002 * [misc]backup-simplify: Simplify 2 into 2 1538422364.002 * [misc]taylor: Taking taylor expansion of n in n 1538422364.002 * [misc]backup-simplify: Simplify 0 into 0 1538422364.002 * [misc]backup-simplify: Simplify 1 into 1 1538422364.002 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.003 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.003 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.003 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538422364.003 * [misc]taylor: Taking taylor expansion of n in n 1538422364.003 * [misc]backup-simplify: Simplify 0 into 0 1538422364.003 * [misc]backup-simplify: Simplify 1 into 1 1538422364.003 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.003 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.003 * [misc]backup-simplify: Simplify PI into PI 1538422364.003 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.004 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.004 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))) in n 1538422364.004 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))) in n 1538422364.004 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.004 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.004 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)) in n 1538422364.004 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) in n 1538422364.004 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.004 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.004 * [misc]backup-simplify: Simplify 2 into 2 1538422364.004 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.005 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.005 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) n) in n 1538422364.005 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538422364.005 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.005 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.005 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.005 * [misc]backup-simplify: Simplify 2 into 2 1538422364.005 * [misc]taylor: Taking taylor expansion of n in n 1538422364.005 * [misc]backup-simplify: Simplify 0 into 0 1538422364.005 * [misc]backup-simplify: Simplify 1 into 1 1538422364.005 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.005 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.005 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.006 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.006 * [misc]taylor: Taking taylor expansion of n in n 1538422364.006 * [misc]backup-simplify: Simplify 0 into 0 1538422364.006 * [misc]backup-simplify: Simplify 1 into 1 1538422364.006 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.006 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.006 * [misc]backup-simplify: Simplify PI into PI 1538422364.006 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.007 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.007 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.008 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538422364.008 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538422364.008 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422364.009 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422364.009 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422364.010 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538422364.010 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1538422364.011 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422364.011 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422364.011 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422364.012 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.012 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.012 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538422364.013 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1538422364.013 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422364.013 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422364.014 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422364.014 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.014 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.014 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.015 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.015 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.015 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.015 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.015 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.015 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.015 * [misc]backup-simplify: Simplify 0 into 0 1538422364.018 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.019 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1538422364.020 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (log PI)) (* 0 0)) into (* (sqrt 2) (log PI)) 1538422364.022 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (log PI)) (sqrt PI))) into (* (* (sqrt 2) (log PI)) (sqrt PI)) 1538422364.024 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))) 1538422364.024 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.025 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422364.027 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422364.027 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538422364.028 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (log 2) (log n))) (* 0 0)) into (+ (* (log 2) (sqrt 2)) (* (sqrt 2) (log n))) 1538422364.029 * [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))) 1538422364.031 * [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)))))) 1538422364.033 * [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)))))) 1538422364.038 * [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)))))))) 1538422364.043 * [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)))))))) 1538422364.047 * [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)))))))) 1538422364.052 * [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)))))))) 1538422364.056 * [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)))))))) 1538422364.058 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1538422364.059 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422364.060 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1538422364.061 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (* 0 (sqrt PI)))) into 0 1538422364.063 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) (sqrt PI))) (* 0 0))) into 0 1538422364.063 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.063 * [misc]backup-simplify: Simplify 0 into 0 1538422364.063 * [misc]backup-simplify: Simplify 0 into 0 1538422364.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.065 * [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)) 1538422364.074 * [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 1538422364.075 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538422364.075 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538422364.083 * [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))) 1538422364.083 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.083 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1538422364.086 * [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 1538422364.087 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422364.087 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.087 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.087 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538422364.087 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.087 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 n))))))) into 0 1538422364.089 * [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)) 1538422364.094 * [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)))))))) 1538422364.095 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422364.104 * [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))))))) 1538422364.118 * [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)))))))))))))))))))))) 1538422364.118 * [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 1538422364.118 * [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 1538422364.118 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) in n 1538422364.119 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.119 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.119 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n)))) in n 1538422364.119 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.119 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.119 * [misc]backup-simplify: Simplify PI into PI 1538422364.119 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.119 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.119 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))) in n 1538422364.119 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.119 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.119 * [misc]backup-simplify: Simplify 2 into 2 1538422364.119 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.120 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.120 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (* (log PI) n)) in n 1538422364.120 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538422364.120 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.120 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.120 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.120 * [misc]backup-simplify: Simplify 2 into 2 1538422364.120 * [misc]taylor: Taking taylor expansion of n in n 1538422364.120 * [misc]backup-simplify: Simplify 0 into 0 1538422364.120 * [misc]backup-simplify: Simplify 1 into 1 1538422364.120 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.120 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.120 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.120 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.120 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538422364.120 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.120 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.120 * [misc]backup-simplify: Simplify PI into PI 1538422364.121 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.121 * [misc]taylor: Taking taylor expansion of n in n 1538422364.121 * [misc]backup-simplify: Simplify 0 into 0 1538422364.121 * [misc]backup-simplify: Simplify 1 into 1 1538422364.121 * [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 1538422364.121 * [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 1538422364.121 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.121 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.121 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI)) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.121 * [misc]backup-simplify: Simplify 2 into 2 1538422364.121 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.121 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 3) n) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 3) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.121 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.121 * [misc]backup-simplify: Simplify 2 into 2 1538422364.121 * [misc]taylor: Taking taylor expansion of n in n 1538422364.121 * [misc]backup-simplify: Simplify 0 into 0 1538422364.121 * [misc]backup-simplify: Simplify 1 into 1 1538422364.121 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.121 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.122 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.122 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.122 * [misc]taylor: Taking taylor expansion of n in n 1538422364.122 * [misc]backup-simplify: Simplify 0 into 0 1538422364.122 * [misc]backup-simplify: Simplify 1 into 1 1538422364.122 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.122 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.122 * [misc]backup-simplify: Simplify PI into PI 1538422364.122 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.122 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.123 * [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 1538422364.123 * [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 1538422364.123 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) in n 1538422364.123 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.123 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.123 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 4)) (sqrt PI)) in n 1538422364.123 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 4)) in n 1538422364.123 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.123 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.123 * [misc]backup-simplify: Simplify 2 into 2 1538422364.123 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.123 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.123 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1538422364.123 * [misc]taylor: Taking taylor expansion of n in n 1538422364.123 * [misc]backup-simplify: Simplify 0 into 0 1538422364.123 * [misc]backup-simplify: Simplify 1 into 1 1538422364.123 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.123 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.123 * [misc]backup-simplify: Simplify PI into PI 1538422364.123 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.124 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.124 * [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 1538422364.124 * [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 1538422364.124 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) in n 1538422364.124 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.124 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.124 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI)) in n 1538422364.124 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) in n 1538422364.124 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.124 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.124 * [misc]backup-simplify: Simplify 2 into 2 1538422364.124 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.124 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.124 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) (pow n 2))) in n 1538422364.124 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.124 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.124 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.124 * [misc]backup-simplify: Simplify 2 into 2 1538422364.124 * [misc]taylor: Taking taylor expansion of n in n 1538422364.124 * [misc]backup-simplify: Simplify 0 into 0 1538422364.124 * [misc]backup-simplify: Simplify 1 into 1 1538422364.124 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.125 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.125 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.125 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1538422364.125 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.125 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.125 * [misc]backup-simplify: Simplify PI into PI 1538422364.125 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.125 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538422364.125 * [misc]taylor: Taking taylor expansion of n in n 1538422364.125 * [misc]backup-simplify: Simplify 0 into 0 1538422364.125 * [misc]backup-simplify: Simplify 1 into 1 1538422364.125 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.125 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.125 * [misc]backup-simplify: Simplify PI into PI 1538422364.125 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.126 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.126 * [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 1538422364.126 * [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 1538422364.126 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.126 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI)) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.126 * [misc]backup-simplify: Simplify 2 into 2 1538422364.126 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.126 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.126 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (pow n 2)) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.126 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.126 * [misc]backup-simplify: Simplify 2 into 2 1538422364.126 * [misc]taylor: Taking taylor expansion of n in n 1538422364.126 * [misc]backup-simplify: Simplify 0 into 0 1538422364.126 * [misc]backup-simplify: Simplify 1 into 1 1538422364.126 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.126 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.127 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.127 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.127 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538422364.127 * [misc]taylor: Taking taylor expansion of n in n 1538422364.127 * [misc]backup-simplify: Simplify 0 into 0 1538422364.127 * [misc]backup-simplify: Simplify 1 into 1 1538422364.127 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.127 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.127 * [misc]backup-simplify: Simplify PI into PI 1538422364.127 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.128 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.128 * [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 1538422364.128 * [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 1538422364.128 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.128 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.128 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI)) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.128 * [misc]backup-simplify: Simplify 2 into 2 1538422364.128 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.128 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.128 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (pow n 2)) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.128 * [misc]backup-simplify: Simplify PI into PI 1538422364.128 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.128 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of n in n 1538422364.128 * [misc]backup-simplify: Simplify 0 into 0 1538422364.128 * [misc]backup-simplify: Simplify 1 into 1 1538422364.128 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.128 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.128 * [misc]backup-simplify: Simplify PI into PI 1538422364.128 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.129 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.129 * [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 1538422364.129 * [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 1538422364.129 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) in n 1538422364.129 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.129 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.129 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI)) in n 1538422364.129 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 3) n)) in n 1538422364.129 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.129 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.129 * [misc]backup-simplify: Simplify 2 into 2 1538422364.129 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.129 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.129 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 3) n) in n 1538422364.129 * [misc]taylor: Taking taylor expansion of (pow (log PI) 3) in n 1538422364.129 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.129 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.129 * [misc]backup-simplify: Simplify PI into PI 1538422364.130 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.130 * [misc]taylor: Taking taylor expansion of n in n 1538422364.130 * [misc]backup-simplify: Simplify 0 into 0 1538422364.130 * [misc]backup-simplify: Simplify 1 into 1 1538422364.130 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.130 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.130 * [misc]backup-simplify: Simplify PI into PI 1538422364.130 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.130 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.130 * [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 1538422364.130 * [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 1538422364.130 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) in n 1538422364.130 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.130 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.130 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n)))) in n 1538422364.130 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.131 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.131 * [misc]backup-simplify: Simplify PI into PI 1538422364.131 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.131 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.131 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))) in n 1538422364.131 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.131 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.131 * [misc]backup-simplify: Simplify 2 into 2 1538422364.131 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.131 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.132 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (pow (log PI) 2) n)) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.132 * [misc]backup-simplify: Simplify 2 into 2 1538422364.132 * [misc]taylor: Taking taylor expansion of n in n 1538422364.132 * [misc]backup-simplify: Simplify 0 into 0 1538422364.132 * [misc]backup-simplify: Simplify 1 into 1 1538422364.132 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.132 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.132 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.132 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.132 * [misc]backup-simplify: Simplify PI into PI 1538422364.132 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.132 * [misc]taylor: Taking taylor expansion of n in n 1538422364.132 * [misc]backup-simplify: Simplify 0 into 0 1538422364.132 * [misc]backup-simplify: Simplify 1 into 1 1538422364.132 * [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 1538422364.132 * [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 1538422364.132 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.132 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.132 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI)) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 3))) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.132 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.132 * [misc]backup-simplify: Simplify 2 into 2 1538422364.133 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.133 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.133 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 3)) in n 1538422364.133 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.133 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.133 * [misc]backup-simplify: Simplify PI into PI 1538422364.133 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.133 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538422364.133 * [misc]taylor: Taking taylor expansion of n in n 1538422364.133 * [misc]backup-simplify: Simplify 0 into 0 1538422364.133 * [misc]backup-simplify: Simplify 1 into 1 1538422364.133 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.133 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.133 * [misc]backup-simplify: Simplify PI into PI 1538422364.133 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.134 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.134 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.134 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.134 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.134 * [misc]backup-simplify: Simplify 2 into 2 1538422364.134 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.134 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.134 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 3)) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538422364.134 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.134 * [misc]backup-simplify: Simplify 2 into 2 1538422364.134 * [misc]taylor: Taking taylor expansion of n in n 1538422364.134 * [misc]backup-simplify: Simplify 0 into 0 1538422364.134 * [misc]backup-simplify: Simplify 1 into 1 1538422364.134 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538422364.135 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538422364.135 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.135 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538422364.135 * [misc]taylor: Taking taylor expansion of n in n 1538422364.135 * [misc]backup-simplify: Simplify 0 into 0 1538422364.135 * [misc]backup-simplify: Simplify 1 into 1 1538422364.135 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538422364.135 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.135 * [misc]backup-simplify: Simplify PI into PI 1538422364.135 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538422364.135 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538422364.136 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.136 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.136 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538422364.136 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538422364.137 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1538422364.137 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422364.137 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1538422364.137 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422364.137 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.138 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.138 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.138 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538422364.138 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (+ (log 2) (log n)) 2)) into (pow (+ (log 2) (log n)) 3) 1538422364.139 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 3) 0) into 0 1538422364.139 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422364.139 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422364.139 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422364.140 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538422364.140 * [misc]backup-simplify: Simplify (* (log PI) (pow (log PI) 2)) into (pow (log PI) 3) 1538422364.141 * [misc]backup-simplify: Simplify (* (pow (log PI) 3) 0) into 0 1538422364.141 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422364.141 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538422364.141 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422364.142 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.142 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538422364.142 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1538422364.143 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538422364.143 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538422364.143 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1538422364.143 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538422364.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.143 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.144 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.145 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.145 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.145 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.145 * [misc]backup-simplify: Simplify 0 into 0 1538422364.145 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.146 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.147 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1538422364.147 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422364.150 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422364.150 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) (log PI)) (* 0 0)) into (+ (* (log 2) (log PI)) (* (log PI) (log n))) 1538422364.152 * [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)))) 1538422364.154 * [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))) 1538422364.157 * [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)))))) 1538422364.159 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.161 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (log PI))) into 0 1538422364.162 * [misc]backup-simplify: Simplify (+ (* (pow (log PI) 2) 1) (* 0 0)) into (pow (log PI) 2) 1538422364.163 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (pow (log PI) 2)) (* 0 0)) into (* (sqrt 2) (pow (log PI) 2)) 1538422364.165 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) into (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)) 1538422364.168 * [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)))) 1538422364.168 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.169 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538422364.171 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422364.171 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538422364.172 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538422364.172 * [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))) 1538422364.174 * [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)))))) 1538422364.176 * [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))))) 1538422364.179 * [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)))))))) 1538422364.183 * [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)))))))) 1538422364.186 * [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)))))))) 1538422364.188 * [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)))))))) 1538422364.192 * [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)))))))))) 1538422364.197 * [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)))))))))) 1538422364.202 * [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)))))))))))))) 1538422364.209 * [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)))))))))))))) 1538422364.216 * [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)))))))))))))) 1538422364.222 * [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)))))))))))))) 1538422364.233 * [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)))))))))))))) 1538422364.244 * [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)))))))))))))) 1538422364.256 * [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)))))))))))))) 1538422364.275 * [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)))))))))))))))))))))) 1538422364.276 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (* (/ 1 (sqrt (* 2 (/ 1 n)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2)))))) into (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) 1538422364.276 * [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 1538422364.276 * [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 1538422364.276 * [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 1538422364.276 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.276 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.276 * [misc]backup-simplify: Simplify 2 into 2 1538422364.276 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.277 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.277 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of k in n 1538422364.277 * [misc]backup-simplify: Simplify k into k 1538422364.277 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.277 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422364.277 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.277 * [misc]backup-simplify: Simplify 2 into 2 1538422364.277 * [misc]taylor: Taking taylor expansion of n in n 1538422364.277 * [misc]backup-simplify: Simplify 0 into 0 1538422364.277 * [misc]backup-simplify: Simplify 1 into 1 1538422364.278 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422364.278 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.278 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.278 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422364.278 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422364.279 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538422364.279 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422364.279 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422364.279 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422364.279 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422364.279 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422364.279 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.279 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.279 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.279 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.279 * [misc]taylor: Taking taylor expansion of k in n 1538422364.279 * [misc]backup-simplify: Simplify k into k 1538422364.279 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.279 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.279 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.279 * [misc]backup-simplify: Simplify PI into PI 1538422364.280 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.280 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.280 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422364.280 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422364.280 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422364.281 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422364.281 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538422364.281 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538422364.281 * [misc]taylor: Taking taylor expansion of k in n 1538422364.281 * [misc]backup-simplify: Simplify k into k 1538422364.281 * [misc]taylor: Taking taylor expansion of n in n 1538422364.281 * [misc]backup-simplify: Simplify 0 into 0 1538422364.281 * [misc]backup-simplify: Simplify 1 into 1 1538422364.281 * [misc]backup-simplify: Simplify (/ k 1) into k 1538422364.281 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.281 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538422364.281 * [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 1538422364.281 * [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 1538422364.281 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422364.281 * [misc]taylor: Taking taylor expansion of 2 in k 1538422364.281 * [misc]backup-simplify: Simplify 2 into 2 1538422364.282 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.282 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.282 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.282 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of k in k 1538422364.282 * [misc]backup-simplify: Simplify 0 into 0 1538422364.282 * [misc]backup-simplify: Simplify 1 into 1 1538422364.282 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.282 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422364.282 * [misc]taylor: Taking taylor expansion of 2 in k 1538422364.282 * [misc]backup-simplify: Simplify 2 into 2 1538422364.282 * [misc]taylor: Taking taylor expansion of n in k 1538422364.282 * [misc]backup-simplify: Simplify n into n 1538422364.283 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422364.283 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422364.283 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.283 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422364.283 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422364.283 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538422364.283 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422364.283 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422364.283 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422364.283 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422364.283 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.283 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.283 * [misc]taylor: Taking taylor expansion of k in k 1538422364.283 * [misc]backup-simplify: Simplify 0 into 0 1538422364.283 * [misc]backup-simplify: Simplify 1 into 1 1538422364.284 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.284 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.284 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.284 * [misc]backup-simplify: Simplify PI into PI 1538422364.284 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.284 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.284 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422364.284 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422364.284 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422364.285 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422364.285 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of k in k 1538422364.285 * [misc]backup-simplify: Simplify 0 into 0 1538422364.285 * [misc]backup-simplify: Simplify 1 into 1 1538422364.285 * [misc]taylor: Taking taylor expansion of n in k 1538422364.285 * [misc]backup-simplify: Simplify n into n 1538422364.285 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538422364.285 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.285 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538422364.285 * [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 1538422364.285 * [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 1538422364.285 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of 2 in k 1538422364.285 * [misc]backup-simplify: Simplify 2 into 2 1538422364.285 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.285 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.285 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.285 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of k in k 1538422364.286 * [misc]backup-simplify: Simplify 0 into 0 1538422364.286 * [misc]backup-simplify: Simplify 1 into 1 1538422364.286 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.286 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of 2 in k 1538422364.286 * [misc]backup-simplify: Simplify 2 into 2 1538422364.286 * [misc]taylor: Taking taylor expansion of n in k 1538422364.286 * [misc]backup-simplify: Simplify n into n 1538422364.286 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538422364.286 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538422364.286 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.286 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422364.286 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538422364.286 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538422364.286 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.286 * [misc]taylor: Taking taylor expansion of k in k 1538422364.286 * [misc]backup-simplify: Simplify 0 into 0 1538422364.286 * [misc]backup-simplify: Simplify 1 into 1 1538422364.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.287 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.287 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.287 * [misc]backup-simplify: Simplify PI into PI 1538422364.287 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.287 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.287 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422364.287 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422364.287 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422364.288 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422364.288 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538422364.288 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538422364.288 * [misc]taylor: Taking taylor expansion of k in k 1538422364.288 * [misc]backup-simplify: Simplify 0 into 0 1538422364.288 * [misc]backup-simplify: Simplify 1 into 1 1538422364.288 * [misc]taylor: Taking taylor expansion of n in k 1538422364.288 * [misc]backup-simplify: Simplify n into n 1538422364.288 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538422364.288 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.288 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538422364.288 * [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))))) 1538422364.288 * [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)))))) 1538422364.289 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1538422364.289 * [misc]taylor: Taking taylor expansion of 0 in n 1538422364.289 * [misc]backup-simplify: Simplify 0 into 0 1538422364.289 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538422364.289 * [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 1538422364.290 * [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))) 1538422364.290 * [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 1538422364.290 * [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 1538422364.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.290 * [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 1538422364.290 * [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 1538422364.290 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538422364.290 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538422364.290 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538422364.290 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422364.290 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538422364.290 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422364.290 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422364.290 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.290 * [misc]backup-simplify: Simplify 2 into 2 1538422364.290 * [misc]taylor: Taking taylor expansion of n in n 1538422364.290 * [misc]backup-simplify: Simplify 0 into 0 1538422364.290 * [misc]backup-simplify: Simplify 1 into 1 1538422364.290 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422364.290 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.290 * [misc]taylor: Taking taylor expansion of k in n 1538422364.290 * [misc]backup-simplify: Simplify k into k 1538422364.290 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422364.291 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422364.291 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538422364.291 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538422364.291 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422364.291 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422364.291 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.291 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.291 * [misc]backup-simplify: Simplify 2 into 2 1538422364.291 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.291 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.291 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422364.292 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422364.292 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422364.292 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422364.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.292 * [misc]taylor: Taking taylor expansion of k in n 1538422364.292 * [misc]backup-simplify: Simplify k into k 1538422364.292 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.292 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.292 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.292 * [misc]backup-simplify: Simplify PI into PI 1538422364.292 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.292 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.292 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422364.292 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422364.292 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422364.293 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422364.293 * [misc]taylor: Taking taylor expansion of n in n 1538422364.293 * [misc]backup-simplify: Simplify 0 into 0 1538422364.293 * [misc]backup-simplify: Simplify 1 into 1 1538422364.293 * [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))))) 1538422364.293 * [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)))))) 1538422364.294 * [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))))) 1538422364.294 * [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)))))) 1538422364.294 * [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))))))) 1538422364.295 * [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))))))) 1538422364.295 * [misc]backup-simplify: Simplify 0 into 0 1538422364.295 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1538422364.295 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1538422364.295 * [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 1538422364.296 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422364.297 * [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 1538422364.297 * [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)))) 1538422364.297 * [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 1538422364.297 * [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 1538422364.297 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.297 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.297 * [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 1538422364.297 * [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 1538422364.297 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538422364.297 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538422364.297 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538422364.297 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422364.297 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538422364.297 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422364.297 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422364.297 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.297 * [misc]backup-simplify: Simplify 2 into 2 1538422364.297 * [misc]taylor: Taking taylor expansion of n in n 1538422364.297 * [misc]backup-simplify: Simplify 0 into 0 1538422364.297 * [misc]backup-simplify: Simplify 1 into 1 1538422364.297 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422364.298 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.298 * [misc]taylor: Taking taylor expansion of k in n 1538422364.298 * [misc]backup-simplify: Simplify k into k 1538422364.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422364.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422364.298 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538422364.298 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538422364.299 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422364.299 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.299 * [misc]backup-simplify: Simplify 2 into 2 1538422364.299 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.299 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.299 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of k in n 1538422364.299 * [misc]backup-simplify: Simplify k into k 1538422364.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.299 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.299 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.299 * [misc]backup-simplify: Simplify PI into PI 1538422364.299 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.299 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.299 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422364.300 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422364.300 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422364.300 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422364.300 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538422364.300 * [misc]taylor: Taking taylor expansion of n in n 1538422364.300 * [misc]backup-simplify: Simplify 0 into 0 1538422364.300 * [misc]backup-simplify: Simplify 1 into 1 1538422364.300 * [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))))) 1538422364.301 * [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)))))) 1538422364.301 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422364.301 * [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))))) 1538422364.302 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.303 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422364.303 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422364.303 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.303 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.303 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538422364.304 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.304 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538422364.304 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422364.306 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422364.306 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538422364.306 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538422364.307 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.308 * [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 1538422364.308 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538422364.308 * [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 1538422364.309 * [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 1538422364.309 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.309 * [misc]backup-simplify: Simplify 0 into 0 1538422364.310 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.310 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422364.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422364.311 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.311 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538422364.312 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.313 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538422364.313 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422364.315 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422364.316 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538422364.316 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538422364.317 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.318 * [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 1538422364.319 * [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 1538422364.319 * [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 1538422364.320 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.320 * [misc]backup-simplify: Simplify 0 into 0 1538422364.320 * [misc]backup-simplify: Simplify 0 into 0 1538422364.320 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1538422364.320 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1538422364.321 * [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 1538422364.321 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538422364.322 * [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 1538422364.323 * [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)))) 1538422364.323 * [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 1538422364.323 * [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 1538422364.323 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.323 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.323 * [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 1538422364.323 * [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 1538422364.323 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538422364.323 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538422364.323 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538422364.323 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538422364.323 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538422364.323 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538422364.323 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538422364.323 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.323 * [misc]backup-simplify: Simplify 2 into 2 1538422364.323 * [misc]taylor: Taking taylor expansion of n in n 1538422364.323 * [misc]backup-simplify: Simplify 0 into 0 1538422364.323 * [misc]backup-simplify: Simplify 1 into 1 1538422364.323 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538422364.324 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538422364.324 * [misc]taylor: Taking taylor expansion of k in n 1538422364.324 * [misc]backup-simplify: Simplify k into k 1538422364.324 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422364.324 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538422364.324 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538422364.324 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538422364.324 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538422364.325 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of 2 in n 1538422364.325 * [misc]backup-simplify: Simplify 2 into 2 1538422364.325 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538422364.325 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538422364.325 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.325 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.325 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of k in n 1538422364.325 * [misc]backup-simplify: Simplify k into k 1538422364.325 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.325 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.325 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.325 * [misc]backup-simplify: Simplify PI into PI 1538422364.325 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.325 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.325 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538422364.326 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538422364.326 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422364.326 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538422364.326 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538422364.326 * [misc]taylor: Taking taylor expansion of n in n 1538422364.326 * [misc]backup-simplify: Simplify 0 into 0 1538422364.326 * [misc]backup-simplify: Simplify 1 into 1 1538422364.326 * [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))))) 1538422364.327 * [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)))))) 1538422364.327 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422364.327 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538422364.327 * [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))))) 1538422364.330 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.330 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422364.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422364.330 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.330 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538422364.333 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422364.333 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422364.333 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422364.333 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.334 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538422364.335 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422364.336 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.337 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422364.337 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538422364.338 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538422364.339 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538422364.339 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538422364.339 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538422364.340 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.340 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538422364.341 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.343 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422364.343 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422364.344 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1538422364.345 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422364.345 * [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 1538422364.346 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538422364.346 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538422364.346 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538422364.346 * [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 1538422364.346 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538422364.347 * [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 1538422364.348 * [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 1538422364.348 * [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 1538422364.348 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.348 * [misc]backup-simplify: Simplify 0 into 0 1538422364.351 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422364.351 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422364.351 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422364.351 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.352 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538422364.353 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422364.354 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538422364.354 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538422364.355 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.357 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538422364.357 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422364.358 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1538422364.359 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422364.359 * [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 1538422364.360 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538422364.361 * [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 1538422364.362 * [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 1538422364.362 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.362 * [misc]backup-simplify: Simplify 0 into 0 1538422364.363 * [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)) 1538422364.364 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (* (/ 1 (sqrt (* 2 (/ 1 (- n))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2)))))) into (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1538422364.364 * [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 1538422364.364 * [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 1538422364.364 * [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 1538422364.364 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538422364.364 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422364.364 * [misc]taylor: Taking taylor expansion of -2 in n 1538422364.364 * [misc]backup-simplify: Simplify -2 into -2 1538422364.364 * [misc]taylor: Taking taylor expansion of n in n 1538422364.364 * [misc]backup-simplify: Simplify 0 into 0 1538422364.365 * [misc]backup-simplify: Simplify 1 into 1 1538422364.365 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422364.365 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.365 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538422364.365 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422364.365 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538422364.365 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538422364.365 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538422364.365 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.366 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.366 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.366 * [misc]taylor: Taking taylor expansion of k in n 1538422364.366 * [misc]backup-simplify: Simplify k into k 1538422364.366 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.366 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422364.366 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422364.366 * [misc]taylor: Taking taylor expansion of -2 in n 1538422364.366 * [misc]backup-simplify: Simplify -2 into -2 1538422364.366 * [misc]taylor: Taking taylor expansion of n in n 1538422364.366 * [misc]backup-simplify: Simplify 0 into 0 1538422364.366 * [misc]backup-simplify: Simplify 1 into 1 1538422364.366 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422364.366 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422364.366 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.367 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422364.367 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538422364.367 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538422364.367 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422364.367 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422364.367 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422364.367 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422364.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.367 * [misc]taylor: Taking taylor expansion of k in n 1538422364.367 * [misc]backup-simplify: Simplify k into k 1538422364.367 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.367 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.367 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.368 * [misc]backup-simplify: Simplify PI into PI 1538422364.368 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.368 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.368 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422364.368 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422364.368 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422364.368 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538422364.368 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538422364.368 * [misc]taylor: Taking taylor expansion of -1 in n 1538422364.368 * [misc]backup-simplify: Simplify -1 into -1 1538422364.368 * [misc]taylor: Taking taylor expansion of k in n 1538422364.368 * [misc]backup-simplify: Simplify k into k 1538422364.368 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538422364.368 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538422364.369 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538422364.369 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538422364.369 * [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))) 1538422364.369 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538422364.371 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.371 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422364.371 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422364.371 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.371 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538422364.372 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.372 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422364.374 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422364.374 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422364.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422364.374 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422364.374 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538422364.375 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.375 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538422364.376 * [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))))) 1538422364.376 * [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)))) 1538422364.376 * [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 1538422364.376 * [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 1538422364.376 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of -2 in k 1538422364.376 * [misc]backup-simplify: Simplify -2 into -2 1538422364.376 * [misc]taylor: Taking taylor expansion of n in k 1538422364.376 * [misc]backup-simplify: Simplify n into n 1538422364.376 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422364.376 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538422364.376 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538422364.376 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538422364.376 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.376 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.376 * [misc]taylor: Taking taylor expansion of k in k 1538422364.376 * [misc]backup-simplify: Simplify 0 into 0 1538422364.376 * [misc]backup-simplify: Simplify 1 into 1 1538422364.377 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.377 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of -2 in k 1538422364.377 * [misc]backup-simplify: Simplify -2 into -2 1538422364.377 * [misc]taylor: Taking taylor expansion of n in k 1538422364.377 * [misc]backup-simplify: Simplify n into n 1538422364.377 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422364.377 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422364.377 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.377 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422364.377 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538422364.377 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of k in k 1538422364.377 * [misc]backup-simplify: Simplify 0 into 0 1538422364.377 * [misc]backup-simplify: Simplify 1 into 1 1538422364.377 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.377 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.377 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.377 * [misc]backup-simplify: Simplify PI into PI 1538422364.378 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.378 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.378 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422364.378 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.378 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422364.378 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422364.378 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422364.378 * [misc]taylor: Taking taylor expansion of -1 in k 1538422364.378 * [misc]backup-simplify: Simplify -1 into -1 1538422364.378 * [misc]taylor: Taking taylor expansion of k in k 1538422364.378 * [misc]backup-simplify: Simplify 0 into 0 1538422364.378 * [misc]backup-simplify: Simplify 1 into 1 1538422364.379 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422364.379 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.379 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422364.379 * [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))) 1538422364.379 * [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)))) 1538422364.379 * [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))))) 1538422364.379 * [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 1538422364.379 * [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 1538422364.379 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538422364.379 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of -2 in k 1538422364.380 * [misc]backup-simplify: Simplify -2 into -2 1538422364.380 * [misc]taylor: Taking taylor expansion of n in k 1538422364.380 * [misc]backup-simplify: Simplify n into n 1538422364.380 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422364.380 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538422364.380 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538422364.380 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538422364.380 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.380 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of k in k 1538422364.380 * [misc]backup-simplify: Simplify 0 into 0 1538422364.380 * [misc]backup-simplify: Simplify 1 into 1 1538422364.380 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.380 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538422364.380 * [misc]taylor: Taking taylor expansion of -2 in k 1538422364.380 * [misc]backup-simplify: Simplify -2 into -2 1538422364.380 * [misc]taylor: Taking taylor expansion of n in k 1538422364.380 * [misc]backup-simplify: Simplify n into n 1538422364.380 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538422364.380 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538422364.380 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.380 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538422364.380 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538422364.381 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538422364.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538422364.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422364.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422364.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.381 * [misc]taylor: Taking taylor expansion of k in k 1538422364.381 * [misc]backup-simplify: Simplify 0 into 0 1538422364.381 * [misc]backup-simplify: Simplify 1 into 1 1538422364.381 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.381 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.381 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.381 * [misc]backup-simplify: Simplify PI into PI 1538422364.381 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.381 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.381 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422364.382 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.382 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422364.382 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538422364.382 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538422364.382 * [misc]taylor: Taking taylor expansion of -1 in k 1538422364.382 * [misc]backup-simplify: Simplify -1 into -1 1538422364.382 * [misc]taylor: Taking taylor expansion of k in k 1538422364.382 * [misc]backup-simplify: Simplify 0 into 0 1538422364.382 * [misc]backup-simplify: Simplify 1 into 1 1538422364.382 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538422364.382 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.382 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538422364.383 * [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))) 1538422364.383 * [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)))) 1538422364.383 * [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))))) 1538422364.383 * [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 1538422364.383 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.383 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.383 * [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 1538422364.383 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538422364.383 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422364.383 * [misc]taylor: Taking taylor expansion of -2 in n 1538422364.383 * [misc]backup-simplify: Simplify -2 into -2 1538422364.383 * [misc]taylor: Taking taylor expansion of n in n 1538422364.383 * [misc]backup-simplify: Simplify 0 into 0 1538422364.383 * [misc]backup-simplify: Simplify 1 into 1 1538422364.383 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422364.383 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.384 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538422364.384 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422364.384 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1538422364.384 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1538422364.384 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.384 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1538422364.384 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422364.384 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422364.384 * [misc]taylor: Taking taylor expansion of -2 in n 1538422364.384 * [misc]backup-simplify: Simplify -2 into -2 1538422364.384 * [misc]taylor: Taking taylor expansion of n in n 1538422364.384 * [misc]backup-simplify: Simplify 0 into 0 1538422364.384 * [misc]backup-simplify: Simplify 1 into 1 1538422364.384 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422364.384 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422364.384 * [misc]taylor: Taking taylor expansion of k in n 1538422364.384 * [misc]backup-simplify: Simplify k into k 1538422364.384 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422364.385 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422364.385 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1538422364.385 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538422364.385 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538422364.385 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422364.385 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422364.385 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422364.385 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422364.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.385 * [misc]taylor: Taking taylor expansion of k in n 1538422364.385 * [misc]backup-simplify: Simplify k into k 1538422364.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.385 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.385 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.385 * [misc]backup-simplify: Simplify PI into PI 1538422364.386 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.386 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.386 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422364.386 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422364.386 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422364.388 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.388 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422364.388 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422364.388 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.389 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538422364.390 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.391 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422364.393 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422364.393 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1538422364.394 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1538422364.395 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.395 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538422364.396 * [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))) 1538422364.396 * [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))))) 1538422364.397 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538422364.397 * [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))))) 1538422364.398 * [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))))) 1538422364.398 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (/ -2 n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538422364.398 * [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 1538422364.399 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538422364.400 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422364.401 * [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)))))) 1538422364.401 * [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 1538422364.401 * [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 1538422364.401 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538422364.401 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538422364.401 * [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 1538422364.401 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538422364.401 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422364.401 * [misc]taylor: Taking taylor expansion of -2 in n 1538422364.401 * [misc]backup-simplify: Simplify -2 into -2 1538422364.401 * [misc]taylor: Taking taylor expansion of n in n 1538422364.401 * [misc]backup-simplify: Simplify 0 into 0 1538422364.401 * [misc]backup-simplify: Simplify 1 into 1 1538422364.401 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422364.401 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538422364.402 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538422364.402 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538422364.402 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1538422364.402 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1538422364.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.402 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1538422364.402 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538422364.402 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538422364.402 * [misc]taylor: Taking taylor expansion of -2 in n 1538422364.402 * [misc]backup-simplify: Simplify -2 into -2 1538422364.402 * [misc]taylor: Taking taylor expansion of n in n 1538422364.402 * [misc]backup-simplify: Simplify 0 into 0 1538422364.402 * [misc]backup-simplify: Simplify 1 into 1 1538422364.402 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538422364.402 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538422364.402 * [misc]taylor: Taking taylor expansion of k in n 1538422364.402 * [misc]backup-simplify: Simplify k into k 1538422364.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422364.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538422364.403 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1538422364.404 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538422364.404 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538422364.404 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538422364.404 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538422364.404 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538422364.404 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538422364.404 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538422364.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.404 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538422364.404 * [misc]taylor: Taking taylor expansion of k in n 1538422364.404 * [misc]backup-simplify: Simplify k into k 1538422364.404 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538422364.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538422364.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.404 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538422364.404 * [misc]taylor: Taking taylor expansion of PI in n 1538422364.404 * [misc]backup-simplify: Simplify PI into PI 1538422364.405 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.405 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538422364.405 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538422364.405 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422364.406 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538422364.408 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.408 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538422364.408 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538422364.409 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.409 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538422364.411 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.411 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422364.413 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538422364.414 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1538422364.414 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1538422364.415 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538422364.416 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538422364.416 * [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))) 1538422364.417 * [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))))) 1538422364.417 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538422364.418 * [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))))) 1538422364.418 * [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))))) 1538422364.419 * [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))))) 1538422364.424 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422364.424 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422364.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538422364.424 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.425 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538422364.428 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422364.428 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.432 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538422364.432 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538422364.433 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log -2) (log n)) k)))) into 0 1538422364.435 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538422364.436 * [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 1538422364.436 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538422364.437 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538422364.438 * [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))))) 1538422364.439 * [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))))) 1538422364.439 * [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))))) 1538422364.441 * [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))))))) 1538422364.441 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1538422364.442 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538422364.442 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1538422364.442 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422364.442 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422364.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.442 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422364.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.442 * [misc]taylor: Taking taylor expansion of k in k 1538422364.442 * [misc]backup-simplify: Simplify 0 into 0 1538422364.442 * [misc]backup-simplify: Simplify 1 into 1 1538422364.442 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.442 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.442 * [misc]backup-simplify: Simplify PI into PI 1538422364.443 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538422364.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538422364.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.443 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538422364.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.443 * [misc]taylor: Taking taylor expansion of k in k 1538422364.443 * [misc]backup-simplify: Simplify 0 into 0 1538422364.443 * [misc]backup-simplify: Simplify 1 into 1 1538422364.443 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.443 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.443 * [misc]backup-simplify: Simplify PI into PI 1538422364.443 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.443 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538422364.444 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.444 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422364.444 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.445 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.447 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.447 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538422364.447 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422364.448 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422364.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422364.449 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1538422364.453 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422364.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538422364.454 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.455 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538422364.455 * [misc]backup-simplify: Simplify 0 into 0 1538422364.462 * [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 1538422364.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538422364.462 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.463 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422364.463 * [misc]backup-simplify: Simplify 0 into 0 1538422364.470 * [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 1538422364.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538422364.470 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.472 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538422364.472 * [misc]backup-simplify: Simplify 0 into 0 1538422364.482 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538422364.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538422364.483 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.485 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538422364.485 * [misc]backup-simplify: Simplify 0 into 0 1538422364.501 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538422364.502 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1538422364.502 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.502 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.505 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538422364.506 * [misc]backup-simplify: Simplify 0 into 0 1538422364.545 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538422364.546 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1538422364.546 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.551 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538422364.551 * [misc]backup-simplify: Simplify 0 into 0 1538422364.553 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422364.553 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538422364.553 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1538422364.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422364.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422364.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.554 * [misc]taylor: Taking taylor expansion of k in k 1538422364.554 * [misc]backup-simplify: Simplify 0 into 0 1538422364.554 * [misc]backup-simplify: Simplify 1 into 1 1538422364.554 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.554 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.554 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.554 * [misc]backup-simplify: Simplify PI into PI 1538422364.554 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538422364.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538422364.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.555 * [misc]taylor: Taking taylor expansion of k in k 1538422364.555 * [misc]backup-simplify: Simplify 0 into 0 1538422364.555 * [misc]backup-simplify: Simplify 1 into 1 1538422364.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.555 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.555 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.555 * [misc]backup-simplify: Simplify PI into PI 1538422364.555 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.555 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.556 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538422364.556 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538422364.556 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422364.557 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538422364.559 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.559 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422364.560 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538422364.560 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.560 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422364.561 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538422364.561 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.566 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422364.566 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538422364.566 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.568 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538422364.568 * [misc]backup-simplify: Simplify 0 into 0 1538422364.575 * [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 1538422364.575 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538422364.576 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.577 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422364.578 * [misc]backup-simplify: Simplify 0 into 0 1538422364.590 * [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 1538422364.591 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.591 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538422364.591 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.594 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538422364.594 * [misc]backup-simplify: Simplify 0 into 0 1538422364.612 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538422364.613 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538422364.614 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.614 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.617 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538422364.617 * [misc]backup-simplify: Simplify 0 into 0 1538422364.644 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538422364.645 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538422364.646 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.649 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538422364.649 * [misc]backup-simplify: Simplify 0 into 0 1538422364.689 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538422364.690 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538422364.691 * [misc]backup-simplify: Simplify (- 0) into 0 1538422364.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.696 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538422364.696 * [misc]backup-simplify: Simplify 0 into 0 1538422364.697 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422364.698 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538422364.698 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1538422364.698 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422364.698 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422364.698 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.698 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.698 * [misc]taylor: Taking taylor expansion of k in k 1538422364.698 * [misc]backup-simplify: Simplify 0 into 0 1538422364.698 * [misc]backup-simplify: Simplify 1 into 1 1538422364.698 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.698 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.698 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.698 * [misc]backup-simplify: Simplify PI into PI 1538422364.699 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.699 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538422364.699 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538422364.699 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538422364.699 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.699 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538422364.699 * [misc]taylor: Taking taylor expansion of k in k 1538422364.699 * [misc]backup-simplify: Simplify 0 into 0 1538422364.699 * [misc]backup-simplify: Simplify 1 into 1 1538422364.699 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538422364.699 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538422364.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538422364.699 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538422364.699 * [misc]taylor: Taking taylor expansion of PI in k 1538422364.699 * [misc]backup-simplify: Simplify PI into PI 1538422364.700 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538422364.700 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538422364.700 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538422364.701 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.701 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.704 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538422364.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538422364.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538422364.704 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1538422364.705 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538422364.706 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538422364.710 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538422364.711 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538422364.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.712 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538422364.712 * [misc]backup-simplify: Simplify 0 into 0 1538422364.720 * [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 1538422364.720 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538422364.721 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.722 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538422364.722 * [misc]backup-simplify: Simplify 0 into 0 1538422364.735 * [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 1538422364.736 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538422364.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538422364.739 * [misc]backup-simplify: Simplify 0 into 0 1538422364.757 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538422364.757 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.758 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538422364.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538422364.761 * [misc]backup-simplify: Simplify 0 into 0 1538422364.789 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538422364.790 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.791 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538422364.791 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.795 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538422364.795 * [misc]backup-simplify: Simplify 0 into 0 1538422364.819 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538422364.819 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538422364.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538422364.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538422364.824 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538422364.824 * [misc]backup-simplify: Simplify 0 into 0 1538422364.826 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422364.826 * * * [misc]progress: simplifying candidates 1538422364.826 * * * * [misc]progress: [ 1 / 145 ] simplifiying candidate # 1538422364.826 * * * * [misc]progress: [ 2 / 145 ] simplifiying candidate # 1538422364.826 * * * * [misc]progress: [ 3 / 145 ] simplifiying candidate # 1538422364.826 * * * * [misc]progress: [ 4 / 145 ] simplifiying candidate # 1538422364.826 * [enter]simplify: Simplifying (- 1/2) 1538422364.826 * * [misc]simplify: iters left: 2 (2 enodes) 1538422364.828 * * [misc]simplify: iters left: 1 (3 enodes) 1538422364.828 * [exit]simplify: Simplified to -1/2 1538422364.828 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (* 2 n) -1/2) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422364.828 * * * * [misc]progress: [ 5 / 145 ] simplifiying candidate # 1538422364.829 * [enter]simplify: Simplifying (- 1) 1538422364.829 * * [misc]simplify: iters left: 2 (2 enodes) 1538422364.830 * * [misc]simplify: iters left: 1 (5 enodes) 1538422364.831 * [exit]simplify: Simplified to -1 1538422364.831 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (sqrt (* 2 n)) -1) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422364.831 * * * * [misc]progress: [ 6 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 7 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 8 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 9 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 10 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 11 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 12 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 13 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 14 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 15 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 16 / 145 ] simplifiying candidate # 1538422364.831 * * * * [misc]progress: [ 17 / 145 ] simplifiying candidate # 1538422364.832 * [enter]simplify: Simplifying (cbrt (sqrt (* 2 n))) 1538422364.832 * * [misc]simplify: iters left: 4 (5 enodes) 1538422364.833 * * [misc]simplify: iters left: 3 (6 enodes) 1538422364.835 * [exit]simplify: Simplified to (cbrt (sqrt (* 2 n))) 1538422364.835 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (cbrt (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422364.835 * * * * [misc]progress: [ 18 / 145 ] simplifiying candidate # 1538422364.835 * [enter]simplify: Simplifying (sqrt n) 1538422364.835 * * [misc]simplify: iters left: 1 (2 enodes) 1538422364.836 * [exit]simplify: Simplified to (sqrt n) 1538422364.836 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (sqrt 2)) (sqrt n)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422364.836 * * * * [misc]progress: [ 19 / 145 ] simplifiying candidate # 1538422364.836 * [enter]simplify: Simplifying (sqrt (sqrt (* 2 n))) 1538422364.836 * * [misc]simplify: iters left: 4 (5 enodes) 1538422364.837 * * [misc]simplify: iters left: 3 (6 enodes) 1538422364.837 * [exit]simplify: Simplified to (sqrt (sqrt (* 2 n))) 1538422364.837 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (sqrt (sqrt (* 2 n)))) (sqrt (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422364.837 * * * * [misc]progress: [ 20 / 145 ] simplifiying candidate # 1538422364.838 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1538422364.838 * * [misc]simplify: iters left: 3 (4 enodes) 1538422364.838 * * [misc]simplify: iters left: 2 (5 enodes) 1538422364.839 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538422364.839 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 1) (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422364.839 * * * * [misc]progress: [ 21 / 145 ] simplifiying candidate # 1538422364.839 * * * * [misc]progress: [ 22 / 145 ] simplifiying candidate # 1538422364.839 * * * * [misc]progress: [ 23 / 145 ] simplifiying candidate # 1538422364.839 * [enter]simplify: Simplifying (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422364.839 * * [misc]simplify: iters left: 6 (14 enodes) 1538422364.841 * * [misc]simplify: iters left: 5 (23 enodes) 1538422364.845 * * [misc]simplify: iters left: 4 (35 enodes) 1538422364.851 * * [misc]simplify: iters left: 3 (60 enodes) 1538422364.862 * * [misc]simplify: iters left: 2 (94 enodes) 1538422364.877 * * [misc]simplify: iters left: 1 (152 enodes) 1538422364.919 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) 1538422364.919 * [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))) 1538422364.919 * * * * [misc]progress: [ 24 / 145 ] simplifiying candidate # 1538422364.920 * * * * [misc]progress: [ 25 / 145 ] simplifiying candidate # 1538422364.920 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538422364.920 * * [misc]simplify: iters left: 6 (16 enodes) 1538422364.923 * * [misc]simplify: iters left: 5 (29 enodes) 1538422364.929 * * [misc]simplify: iters left: 4 (59 enodes) 1538422364.942 * * [misc]simplify: iters left: 3 (175 enodes) 1538422365.012 * * [misc]simplify: iters left: 2 (348 enodes) 1538422365.168 * [exit]simplify: Simplified to (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n)))) 1538422365.168 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n))))))) 1538422365.168 * * * * [misc]progress: [ 26 / 145 ] simplifiying candidate # 1538422365.168 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538422365.168 * * [misc]simplify: iters left: 6 (16 enodes) 1538422365.174 * * [misc]simplify: iters left: 5 (29 enodes) 1538422365.184 * * [misc]simplify: iters left: 4 (59 enodes) 1538422365.210 * * [misc]simplify: iters left: 3 (175 enodes) 1538422365.271 * * [misc]simplify: iters left: 2 (348 enodes) 1538422365.453 * [exit]simplify: Simplified to (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n)))) 1538422365.453 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n))))))) 1538422365.453 * * * * [misc]progress: [ 27 / 145 ] simplifiying candidate # 1538422365.454 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2)))))) 1538422365.454 * * [misc]simplify: iters left: 6 (16 enodes) 1538422365.459 * * [misc]simplify: iters left: 5 (25 enodes) 1538422365.467 * * [misc]simplify: iters left: 4 (46 enodes) 1538422365.484 * * [misc]simplify: iters left: 3 (119 enodes) 1538422365.532 * * [misc]simplify: iters left: 2 (335 enodes) 1538422365.674 * [exit]simplify: Simplified to (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n)))) 1538422365.674 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n))))))) 1538422365.674 * * * * [misc]progress: [ 28 / 145 ] simplifiying candidate # 1538422365.674 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538422365.674 * * [misc]simplify: iters left: 6 (15 enodes) 1538422365.679 * * [misc]simplify: iters left: 5 (21 enodes) 1538422365.684 * * [misc]simplify: iters left: 4 (30 enodes) 1538422365.689 * * [misc]simplify: iters left: 3 (57 enodes) 1538422365.699 * * [misc]simplify: iters left: 2 (131 enodes) 1538422365.768 * * [misc]simplify: iters left: 1 (366 enodes) 1538422365.906 * [exit]simplify: Simplified to (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n)))) 1538422365.907 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* 2 n)) (/ k 2) (log (sqrt k))) (log (sqrt (* 2 n))))))) 1538422365.907 * * * * [misc]progress: [ 29 / 145 ] simplifiying candidate # 1538422365.907 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538422365.907 * * [misc]simplify: iters left: 6 (17 enodes) 1538422365.910 * * [misc]simplify: iters left: 5 (36 enodes) 1538422365.916 * * [misc]simplify: iters left: 4 (66 enodes) 1538422365.932 * * [misc]simplify: iters left: 3 (194 enodes) 1538422366.018 * * [misc]simplify: iters left: 2 (437 enodes) 1538422366.213 * [exit]simplify: Simplified to (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2)))) 1538422366.214 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538422366.214 * * * * [misc]progress: [ 30 / 145 ] simplifiying candidate # 1538422366.214 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538422366.214 * * [misc]simplify: iters left: 6 (17 enodes) 1538422366.217 * * [misc]simplify: iters left: 5 (36 enodes) 1538422366.223 * * [misc]simplify: iters left: 4 (66 enodes) 1538422366.237 * * [misc]simplify: iters left: 3 (194 enodes) 1538422366.289 * * [misc]simplify: iters left: 2 (437 enodes) 1538422366.535 * [exit]simplify: Simplified to (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2)))) 1538422366.536 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538422366.536 * * * * [misc]progress: [ 31 / 145 ] simplifiying candidate # 1538422366.536 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2)))))) 1538422366.536 * * [misc]simplify: iters left: 6 (17 enodes) 1538422366.542 * * [misc]simplify: iters left: 5 (32 enodes) 1538422366.551 * * [misc]simplify: iters left: 4 (53 enodes) 1538422366.570 * * [misc]simplify: iters left: 3 (137 enodes) 1538422366.658 * * [misc]simplify: iters left: 2 (430 enodes) 1538422366.886 * [exit]simplify: Simplified to (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2)))) 1538422366.886 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538422366.887 * * * * [misc]progress: [ 32 / 145 ] simplifiying candidate # 1538422366.887 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538422366.887 * * [misc]simplify: iters left: 6 (16 enodes) 1538422366.893 * * [misc]simplify: iters left: 5 (28 enodes) 1538422366.900 * * [misc]simplify: iters left: 4 (37 enodes) 1538422366.906 * * [misc]simplify: iters left: 3 (72 enodes) 1538422366.920 * * [misc]simplify: iters left: 2 (183 enodes) 1538422367.017 * [exit]simplify: Simplified to (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2)))) 1538422367.017 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (log (* n 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538422367.017 * * * * [misc]progress: [ 33 / 145 ] simplifiying candidate # 1538422367.017 * * * * [misc]progress: [ 34 / 145 ] simplifiying candidate # 1538422367.017 * * * * [misc]progress: [ 35 / 145 ] simplifiying candidate # 1538422367.018 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2)))))) 1538422367.018 * * [misc]simplify: iters left: 6 (20 enodes) 1538422367.025 * * [misc]simplify: iters left: 5 (45 enodes) 1538422367.043 * * [misc]simplify: iters left: 4 (143 enodes) 1538422367.181 * [exit]simplify: Simplified to (* (/ (/ (/ 1 (sqrt (* n 2))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (sqrt (* n 2))))) (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ k (pow (* n 2) (- (/ k 2)))))) 1538422367.181 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (/ (/ (/ 1 (sqrt (* n 2))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (sqrt (* n 2))))) (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ k (pow (* n 2) (- (/ k 2))))))))) 1538422367.181 * * * * [misc]progress: [ 36 / 145 ] simplifiying candidate # 1538422367.181 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (* (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538422367.181 * * [misc]simplify: iters left: 6 (18 enodes) 1538422367.188 * * [misc]simplify: iters left: 5 (41 enodes) 1538422367.205 * * [misc]simplify: iters left: 4 (116 enodes) 1538422367.250 * * [misc]simplify: iters left: 3 (310 enodes) 1538422367.517 * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (sqrt (* n 2))) (* (sqrt (* n 2)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1538422367.517 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (/ (/ 1 (sqrt (* n 2))) (* (sqrt (* n 2)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))))) 1538422367.517 * * * * [misc]progress: [ 37 / 145 ] simplifiying candidate # 1538422367.517 * * * * [misc]progress: [ 38 / 145 ] simplifiying candidate # 1538422367.517 * * * * [misc]progress: [ 39 / 145 ] simplifiying candidate # 1538422367.517 * * * * [misc]progress: [ 40 / 145 ] simplifiying candidate # 1538422367.518 * [enter]simplify: Simplifying (* 1 (sqrt k)) 1538422367.518 * * [misc]simplify: iters left: 3 (4 enodes) 1538422367.519 * * [misc]simplify: iters left: 2 (7 enodes) 1538422367.522 * * [misc]simplify: iters left: 1 (9 enodes) 1538422367.523 * [exit]simplify: Simplified to (sqrt k) 1538422367.523 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2))))))) 1538422367.524 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2)))) 1538422367.524 * * [misc]simplify: iters left: 6 (10 enodes) 1538422367.527 * * [misc]simplify: iters left: 5 (13 enodes) 1538422367.531 * [exit]simplify: Simplified to (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))) 1538422367.531 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n)))))) 1538422367.531 * * * * [misc]progress: [ 41 / 145 ] simplifiying candidate # 1538422367.531 * * * * [misc]progress: [ 42 / 145 ] simplifiying candidate # 1538422367.532 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422367.532 * * [misc]simplify: iters left: 6 (10 enodes) 1538422367.535 * * [misc]simplify: iters left: 5 (13 enodes) 1538422367.537 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422367.537 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1538422367.537 * * * * [misc]progress: [ 43 / 145 ] simplifiying candidate # 1538422367.537 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422367.537 * * [misc]simplify: iters left: 6 (10 enodes) 1538422367.538 * * [misc]simplify: iters left: 5 (13 enodes) 1538422367.540 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422367.540 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (sqrt (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1538422367.540 * * * * [misc]progress: [ 44 / 145 ] simplifiying candidate # 1538422367.541 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1538422367.541 * * [misc]simplify: iters left: 6 (8 enodes) 1538422367.545 * * [misc]simplify: iters left: 5 (10 enodes) 1538422367.546 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1538422367.546 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1538422367.546 * * * * [misc]progress: [ 45 / 145 ] simplifiying candidate # 1538422367.546 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538422367.546 * * [misc]simplify: iters left: 6 (11 enodes) 1538422367.548 * * [misc]simplify: iters left: 5 (14 enodes) 1538422367.550 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538422367.550 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1538422367.550 * * * * [misc]progress: [ 46 / 145 ] simplifiying candidate # 1538422367.550 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538422367.550 * * [misc]simplify: iters left: 6 (11 enodes) 1538422367.552 * * [misc]simplify: iters left: 5 (14 enodes) 1538422367.554 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538422367.554 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1538422367.554 * * * * [misc]progress: [ 47 / 145 ] simplifiying candidate # 1538422367.554 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422367.554 * * [misc]simplify: iters left: 6 (10 enodes) 1538422367.555 * * [misc]simplify: iters left: 5 (13 enodes) 1538422367.557 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422367.557 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538422367.557 * * * * [misc]progress: [ 48 / 145 ] simplifiying candidate # 1538422367.557 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1538422367.557 * * [misc]simplify: iters left: 6 (8 enodes) 1538422367.558 * * [misc]simplify: iters left: 5 (10 enodes) 1538422367.560 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1538422367.560 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1538422367.560 * * * * [misc]progress: [ 49 / 145 ] simplifiying candidate # 1538422367.560 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538422367.560 * * [misc]simplify: iters left: 6 (11 enodes) 1538422367.562 * * [misc]simplify: iters left: 5 (14 enodes) 1538422367.564 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538422367.564 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1538422367.564 * * * * [misc]progress: [ 50 / 145 ] simplifiying candidate # 1538422367.564 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538422367.564 * * [misc]simplify: iters left: 6 (11 enodes) 1538422367.568 * * [misc]simplify: iters left: 5 (14 enodes) 1538422367.572 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538422367.572 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1538422367.572 * * * * [misc]progress: [ 51 / 145 ] simplifiying candidate # 1538422367.572 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538422367.572 * * [misc]simplify: iters left: 6 (10 enodes) 1538422367.575 * * [misc]simplify: iters left: 5 (13 enodes) 1538422367.579 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538422367.579 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538422367.579 * * * * [misc]progress: [ 52 / 145 ] simplifiying candidate # 1538422367.579 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1538422367.580 * * [misc]simplify: iters left: 6 (7 enodes) 1538422367.582 * * [misc]simplify: iters left: 5 (9 enodes) 1538422367.584 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1538422367.584 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (pow n (- (/ k 2))))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1538422367.584 * * * * [misc]progress: [ 53 / 145 ] simplifiying candidate # 1538422367.585 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- (/ k 2))))) 1538422367.585 * * [misc]simplify: iters left: 6 (10 enodes) 1538422367.588 * * [misc]simplify: iters left: 5 (13 enodes) 1538422367.589 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (/ (- k) 2)))) 1538422367.589 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- k) 2))))))) 1538422367.589 * * * * [misc]progress: [ 54 / 145 ] simplifiying candidate # 1538422367.590 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2))))) 1538422367.590 * * [misc]simplify: iters left: 6 (10 enodes) 1538422367.591 * * [misc]simplify: iters left: 5 (13 enodes) 1538422367.593 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (/ (- k) 2)))) 1538422367.593 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- k) 2))))))) 1538422367.593 * * * * [misc]progress: [ 55 / 145 ] simplifiying candidate # 1538422367.593 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422367.593 * * [misc]simplify: iters left: 6 (9 enodes) 1538422367.595 * * [misc]simplify: iters left: 5 (12 enodes) 1538422367.596 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422367.596 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538422367.596 * * * * [misc]progress: [ 56 / 145 ] simplifiying candidate # 1538422367.596 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422367.597 * * [misc]simplify: iters left: 6 (9 enodes) 1538422367.598 * * [misc]simplify: iters left: 5 (12 enodes) 1538422367.600 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422367.600 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) 1) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538422367.600 * * * * [misc]progress: [ 57 / 145 ] simplifiying candidate # 1538422367.600 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- (/ k 2)))) 1538422367.600 * * [misc]simplify: iters left: 6 (9 enodes) 1538422367.601 * * [misc]simplify: iters left: 5 (14 enodes) 1538422367.603 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- (/ k 2)))) 1538422367.603 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (sqrt k)) (/ 1 (pow (* 2 n) (- (/ k 2))))))) 1538422367.603 * * * * [misc]progress: [ 58 / 145 ] simplifiying candidate # 1538422367.603 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422367.603 * * [misc]simplify: iters left: 3 (6 enodes) 1538422367.604 * * [misc]simplify: iters left: 2 (7 enodes) 1538422367.605 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422367.605 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) 1)) (pow (* n 2) (/ k 2))))) 1538422367.605 * * * * [misc]progress: [ 59 / 145 ] simplifiying candidate # 1538422367.605 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538422367.606 * * [misc]simplify: iters left: 3 (6 enodes) 1538422367.606 * * [misc]simplify: iters left: 2 (7 enodes) 1538422367.607 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538422367.607 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) 0))) (pow (* n 2) (/ k 2))))) 1538422367.607 * * * * [misc]progress: [ 60 / 145 ] simplifiying candidate # 1538422367.608 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (* 2 n)))) (cbrt (/ 1 (sqrt (* 2 n))))) 1538422367.608 * * [misc]simplify: iters left: 6 (8 enodes) 1538422367.609 * * [misc]simplify: iters left: 5 (11 enodes) 1538422367.610 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (* n 2)))) (cbrt (/ 1 (sqrt (* n 2))))) 1538422367.610 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt (* n 2)))) (cbrt (/ 1 (sqrt (* n 2))))) (* (cbrt (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538422367.610 * * * * [misc]progress: [ 61 / 145 ] simplifiying candidate # 1538422367.610 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (* 2 n)))) 1538422367.611 * * [misc]simplify: iters left: 6 (7 enodes) 1538422367.612 * * [misc]simplify: iters left: 5 (10 enodes) 1538422367.613 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (* n 2)))) 1538422367.613 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt (* n 2)))) (* (sqrt (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538422367.613 * * * * [misc]progress: [ 62 / 145 ] simplifiying candidate # 1538422367.613 * * * * [misc]progress: [ 63 / 145 ] simplifiying candidate # 1538422367.613 * * * * [misc]progress: [ 64 / 145 ] simplifiying candidate # 1538422367.613 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422367.613 * * [misc]simplify: iters left: 5 (7 enodes) 1538422367.614 * * [misc]simplify: iters left: 4 (10 enodes) 1538422367.616 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422367.616 * [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)))))) 1538422367.616 * * * * [misc]progress: [ 65 / 145 ] simplifiying candidate # 1538422367.616 * [enter]simplify: Simplifying (* 1 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422367.616 * * [misc]simplify: iters left: 6 (11 enodes) 1538422367.620 * * [misc]simplify: iters left: 5 (19 enodes) 1538422367.626 * * [misc]simplify: iters left: 4 (26 enodes) 1538422367.633 * * [misc]simplify: iters left: 3 (29 enodes) 1538422367.639 * * [misc]simplify: iters left: 2 (35 enodes) 1538422367.650 * * [misc]simplify: iters left: 1 (48 enodes) 1538422367.663 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422367.663 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 n))))) 1538422367.663 * * * * [misc]progress: [ 66 / 145 ] simplifiying candidate # 1538422367.663 * * * * [misc]progress: [ 67 / 145 ] simplifiying candidate # 1538422367.663 * * * * [misc]progress: [ 68 / 145 ] simplifiying candidate # 1538422367.663 * * * * [misc]progress: [ 69 / 145 ] simplifiying candidate # 1538422367.663 * * * * [misc]progress: [ 70 / 145 ] simplifiying candidate # 1538422367.664 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538422367.664 * * [misc]simplify: iters left: 6 (22 enodes) 1538422367.672 * * [misc]simplify: iters left: 5 (42 enodes) 1538422367.686 * * [misc]simplify: iters left: 4 (95 enodes) 1538422367.722 * * [misc]simplify: iters left: 3 (290 enodes) 1538422367.812 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))) 1538422367.812 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))))) 1538422367.812 * * * * [misc]progress: [ 71 / 145 ] simplifiying candidate # 1538422367.812 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538422367.813 * * [misc]simplify: iters left: 6 (22 enodes) 1538422367.820 * * [misc]simplify: iters left: 5 (42 enodes) 1538422367.827 * * [misc]simplify: iters left: 4 (95 enodes) 1538422367.852 * * [misc]simplify: iters left: 3 (290 enodes) 1538422367.987 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))) 1538422367.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))))) 1538422367.987 * * * * [misc]progress: [ 72 / 145 ] simplifiying candidate # 1538422367.987 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2))))))) 1538422367.988 * * [misc]simplify: iters left: 6 (22 enodes) 1538422367.994 * * [misc]simplify: iters left: 5 (38 enodes) 1538422368.007 * * [misc]simplify: iters left: 4 (82 enodes) 1538422368.040 * * [misc]simplify: iters left: 3 (225 enodes) 1538422368.138 * [exit]simplify: Simplified to (- (fma (log PI) (- 1/2 (/ k 2)) (log (sqrt (* 2 n)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k)))) 1538422368.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log PI) (- 1/2 (/ k 2)) (log (sqrt (* 2 n)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k)))))) 1538422368.138 * * * * [misc]progress: [ 73 / 145 ] simplifiying candidate # 1538422368.138 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422368.139 * * [misc]simplify: iters left: 6 (21 enodes) 1538422368.142 * * [misc]simplify: iters left: 5 (34 enodes) 1538422368.147 * * [misc]simplify: iters left: 4 (63 enodes) 1538422368.159 * * [misc]simplify: iters left: 3 (146 enodes) 1538422368.190 * * [misc]simplify: iters left: 2 (387 enodes) 1538422368.452 * [exit]simplify: Simplified to (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))) 1538422368.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))))) 1538422368.452 * * * * [misc]progress: [ 74 / 145 ] simplifiying candidate # 1538422368.452 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538422368.453 * * [misc]simplify: iters left: 6 (23 enodes) 1538422368.457 * * [misc]simplify: iters left: 5 (49 enodes) 1538422368.464 * * [misc]simplify: iters left: 4 (102 enodes) 1538422368.488 * * [misc]simplify: iters left: 3 (310 enodes) 1538422368.576 * [exit]simplify: Simplified to (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (log (* 2 n)) (/ k 2) (log (sqrt k))))) 1538422368.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (log (* 2 n)) (/ k 2) (log (sqrt k))))))) 1538422368.577 * * * * [misc]progress: [ 75 / 145 ] simplifiying candidate # 1538422368.577 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538422368.577 * * [misc]simplify: iters left: 6 (23 enodes) 1538422368.581 * * [misc]simplify: iters left: 5 (49 enodes) 1538422368.594 * * [misc]simplify: iters left: 4 (102 enodes) 1538422368.642 * * [misc]simplify: iters left: 3 (310 enodes) 1538422368.810 * [exit]simplify: Simplified to (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (log (* 2 n)) (/ k 2) (log (sqrt k))))) 1538422368.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (log (* 2 n)) (/ k 2) (log (sqrt k))))))) 1538422368.810 * * * * [misc]progress: [ 76 / 145 ] simplifiying candidate # 1538422368.810 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2))))))) 1538422368.810 * * [misc]simplify: iters left: 6 (23 enodes) 1538422368.819 * * [misc]simplify: iters left: 5 (45 enodes) 1538422368.832 * * [misc]simplify: iters left: 4 (89 enodes) 1538422368.872 * * [misc]simplify: iters left: 3 (245 enodes) 1538422369.020 * [exit]simplify: Simplified to (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))) 1538422369.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log PI) (- 1/2 (/ k 2)) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))))) 1538422369.020 * * * * [misc]progress: [ 77 / 145 ] simplifiying candidate # 1538422369.020 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422369.020 * * [misc]simplify: iters left: 6 (22 enodes) 1538422369.024 * * [misc]simplify: iters left: 5 (41 enodes) 1538422369.029 * * [misc]simplify: iters left: 4 (70 enodes) 1538422369.054 * * [misc]simplify: iters left: 3 (163 enodes) 1538422369.110 * * [misc]simplify: iters left: 2 (434 enodes) 1538422369.383 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))) 1538422369.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* 2 n))) (fma (/ k 2) (log (* 2 n)) (log (sqrt k))))))) 1538422369.383 * * * * [misc]progress: [ 78 / 145 ] simplifiying candidate # 1538422369.383 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422369.383 * * [misc]simplify: iters left: 6 (21 enodes) 1538422369.386 * * [misc]simplify: iters left: 5 (38 enodes) 1538422369.392 * * [misc]simplify: iters left: 4 (76 enodes) 1538422369.408 * * [misc]simplify: iters left: 3 (162 enodes) 1538422369.443 * * [misc]simplify: iters left: 2 (388 enodes) 1538422369.589 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n))))) 1538422369.589 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n))))))) 1538422369.589 * * * * [misc]progress: [ 79 / 145 ] simplifiying candidate # 1538422369.590 * * * * [misc]progress: [ 80 / 145 ] simplifiying candidate # 1538422369.590 * * * * [misc]progress: [ 81 / 145 ] simplifiying candidate # 1538422369.590 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2))))))) 1538422369.590 * * [misc]simplify: iters left: 6 (29 enodes) 1538422369.599 * * [misc]simplify: iters left: 5 (69 enodes) 1538422369.626 * * [misc]simplify: iters left: 4 (252 enodes) 1538422369.823 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n))))) (/ (* (* (sqrt k) k) (/ 1 (sqrt (* 2 n)))) (pow (pow (* 2 n) (- (/ k 2))) 3))) 1538422369.824 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n))))) (/ (* (* (sqrt k) k) (/ 1 (sqrt (* 2 n)))) (pow (pow (* 2 n) (- (/ k 2))) 3))))) 1538422369.824 * * * * [misc]progress: [ 82 / 145 ] simplifiying candidate # 1538422369.824 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (* (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422369.824 * * [misc]simplify: iters left: 6 (27 enodes) 1538422369.829 * * [misc]simplify: iters left: 5 (65 enodes) 1538422369.851 * * [misc]simplify: iters left: 4 (223 enodes) 1538422369.993 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ 1 (sqrt (* 2 n))) 3)) (pow (/ (sqrt k) (pow (* 2 n) (/ (- k) 2))) 3)) 1538422369.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ 1 (sqrt (* 2 n))) 3)) (pow (/ (sqrt k) (pow (* 2 n) (/ (- k) 2))) 3)))) 1538422369.993 * * * * [misc]progress: [ 83 / 145 ] simplifiying candidate # 1538422369.994 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422369.994 * * [misc]simplify: iters left: 6 (25 enodes) 1538422370.002 * * [misc]simplify: iters left: 5 (56 enodes) 1538422370.025 * * [misc]simplify: iters left: 4 (202 enodes) 1538422370.192 * [exit]simplify: Simplified to (pow (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (* 2 n))) (pow (* 2 n) (- (/ k 2))))) 3) 1538422370.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (* 2 n))) (pow (* 2 n) (- (/ k 2))))) 3))) 1538422370.192 * * * * [misc]progress: [ 84 / 145 ] simplifiying candidate # 1538422370.192 * * * * [misc]progress: [ 85 / 145 ] simplifiying candidate # 1538422370.192 * * * * [misc]progress: [ 86 / 145 ] simplifiying candidate # 1538422370.192 * * * * [misc]progress: [ 87 / 145 ] simplifiying candidate # 1538422370.193 * * * * [misc]progress: [ 88 / 145 ] simplifiying candidate # 1538422370.193 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (* 2 n)))) 1538422370.193 * * [misc]simplify: iters left: 6 (12 enodes) 1538422370.195 * * [misc]simplify: iters left: 5 (21 enodes) 1538422370.198 * * [misc]simplify: iters left: 4 (25 enodes) 1538422370.201 * * [misc]simplify: iters left: 3 (36 enodes) 1538422370.206 * * [misc]simplify: iters left: 2 (41 enodes) 1538422370.212 * * [misc]simplify: iters left: 1 (51 enodes) 1538422370.220 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538422370.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422370.220 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422370.220 * * [misc]simplify: iters left: 6 (14 enodes) 1538422370.225 * * [misc]simplify: iters left: 5 (25 enodes) 1538422370.232 * * [misc]simplify: iters left: 4 (41 enodes) 1538422370.244 * * [misc]simplify: iters left: 3 (77 enodes) 1538422370.257 * * [misc]simplify: iters left: 2 (125 enodes) 1538422370.276 * * [misc]simplify: iters left: 1 (178 enodes) 1538422370.313 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422370.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422370.313 * * * * [misc]progress: [ 89 / 145 ] simplifiying candidate # 1538422370.313 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (* 2 n)))) 1538422370.313 * * [misc]simplify: iters left: 6 (12 enodes) 1538422370.317 * * [misc]simplify: iters left: 5 (21 enodes) 1538422370.323 * * [misc]simplify: iters left: 4 (25 enodes) 1538422370.327 * * [misc]simplify: iters left: 3 (36 enodes) 1538422370.331 * * [misc]simplify: iters left: 2 (41 enodes) 1538422370.336 * * [misc]simplify: iters left: 1 (51 enodes) 1538422370.342 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538422370.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422370.342 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422370.343 * * [misc]simplify: iters left: 6 (14 enodes) 1538422370.345 * * [misc]simplify: iters left: 5 (25 enodes) 1538422370.348 * * [misc]simplify: iters left: 4 (41 enodes) 1538422370.354 * * [misc]simplify: iters left: 3 (77 enodes) 1538422370.377 * * [misc]simplify: iters left: 2 (125 enodes) 1538422370.412 * * [misc]simplify: iters left: 1 (178 enodes) 1538422370.445 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538422370.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538422370.445 * * * * [misc]progress: [ 90 / 145 ] simplifiying candidate # 1538422370.445 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (* 2 n)))) 1538422370.446 * * [misc]simplify: iters left: 6 (12 enodes) 1538422370.448 * * [misc]simplify: iters left: 5 (20 enodes) 1538422370.451 * * [misc]simplify: iters left: 4 (23 enodes) 1538422370.454 * * [misc]simplify: iters left: 3 (35 enodes) 1538422370.463 * * [misc]simplify: iters left: 2 (41 enodes) 1538422370.473 * * [misc]simplify: iters left: 1 (51 enodes) 1538422370.487 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538422370.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422370.488 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422370.488 * * [misc]simplify: iters left: 6 (14 enodes) 1538422370.490 * * [misc]simplify: iters left: 5 (24 enodes) 1538422370.493 * * [misc]simplify: iters left: 4 (45 enodes) 1538422370.500 * * [misc]simplify: iters left: 3 (80 enodes) 1538422370.510 * * [misc]simplify: iters left: 2 (122 enodes) 1538422370.537 * * [misc]simplify: iters left: 1 (177 enodes) 1538422370.580 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538422370.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538422370.580 * * * * [misc]progress: [ 91 / 145 ] simplifiying candidate # 1538422370.581 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (* 2 n)))) 1538422370.581 * * [misc]simplify: iters left: 6 (12 enodes) 1538422370.583 * * [misc]simplify: iters left: 5 (20 enodes) 1538422370.586 * * [misc]simplify: iters left: 4 (23 enodes) 1538422370.591 * * [misc]simplify: iters left: 3 (35 enodes) 1538422370.596 * * [misc]simplify: iters left: 2 (41 enodes) 1538422370.604 * * [misc]simplify: iters left: 1 (51 enodes) 1538422370.616 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538422370.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422370.616 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422370.617 * * [misc]simplify: iters left: 6 (14 enodes) 1538422370.621 * * [misc]simplify: iters left: 5 (24 enodes) 1538422370.628 * * [misc]simplify: iters left: 4 (45 enodes) 1538422370.641 * * [misc]simplify: iters left: 3 (80 enodes) 1538422370.661 * * [misc]simplify: iters left: 2 (122 enodes) 1538422370.694 * * [misc]simplify: iters left: 1 (177 enodes) 1538422370.736 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538422370.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538422370.736 * * * * [misc]progress: [ 92 / 145 ] simplifiying candidate # 1538422370.736 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (* 2 n)))) 1538422370.736 * * [misc]simplify: iters left: 6 (17 enodes) 1538422370.739 * * [misc]simplify: iters left: 5 (30 enodes) 1538422370.743 * * [misc]simplify: iters left: 4 (46 enodes) 1538422370.749 * * [misc]simplify: iters left: 3 (79 enodes) 1538422370.761 * * [misc]simplify: iters left: 2 (142 enodes) 1538422370.782 * * [misc]simplify: iters left: 1 (259 enodes) 1538422370.868 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538422370.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422370.869 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422370.869 * * [misc]simplify: iters left: 6 (17 enodes) 1538422370.874 * * [misc]simplify: iters left: 5 (27 enodes) 1538422370.881 * * [misc]simplify: iters left: 4 (37 enodes) 1538422370.893 * * [misc]simplify: iters left: 3 (57 enodes) 1538422370.908 * * [misc]simplify: iters left: 2 (98 enodes) 1538422370.936 * * [misc]simplify: iters left: 1 (138 enodes) 1538422370.950 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422370.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538422370.950 * * * * [misc]progress: [ 93 / 145 ] simplifiying candidate # 1538422370.951 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (* 2 n)))) 1538422370.951 * * [misc]simplify: iters left: 6 (16 enodes) 1538422370.953 * * [misc]simplify: iters left: 5 (27 enodes) 1538422370.956 * * [misc]simplify: iters left: 4 (39 enodes) 1538422370.962 * * [misc]simplify: iters left: 3 (67 enodes) 1538422370.971 * * [misc]simplify: iters left: 2 (109 enodes) 1538422370.984 * * [misc]simplify: iters left: 1 (152 enodes) 1538422371.000 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538422371.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.000 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422371.000 * * [misc]simplify: iters left: 6 (17 enodes) 1538422371.005 * * [misc]simplify: iters left: 5 (27 enodes) 1538422371.012 * * [misc]simplify: iters left: 4 (37 enodes) 1538422371.022 * * [misc]simplify: iters left: 3 (57 enodes) 1538422371.038 * * [misc]simplify: iters left: 2 (98 enodes) 1538422371.064 * * [misc]simplify: iters left: 1 (138 enodes) 1538422371.092 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538422371.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538422371.092 * * * * [misc]progress: [ 94 / 145 ] simplifiying candidate # 1538422371.092 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* 2 n)))) 1538422371.093 * * [misc]simplify: iters left: 6 (7 enodes) 1538422371.096 * * [misc]simplify: iters left: 5 (12 enodes) 1538422371.098 * * [misc]simplify: iters left: 4 (13 enodes) 1538422371.102 * * [misc]simplify: iters left: 3 (17 enodes) 1538422371.106 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538422371.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.106 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538422371.106 * * [misc]simplify: iters left: 6 (16 enodes) 1538422371.111 * * [misc]simplify: iters left: 5 (26 enodes) 1538422371.118 * * [misc]simplify: iters left: 4 (36 enodes) 1538422371.128 * * [misc]simplify: iters left: 3 (56 enodes) 1538422371.144 * * [misc]simplify: iters left: 2 (103 enodes) 1538422371.161 * * [misc]simplify: iters left: 1 (155 enodes) 1538422371.193 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538422371.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538422371.193 * * * * [misc]progress: [ 95 / 145 ] simplifiying candidate # 1538422371.193 * * * * [misc]progress: [ 96 / 145 ] simplifiying candidate # 1538422371.194 * * * * [misc]progress: [ 97 / 145 ] simplifiying candidate # 1538422371.194 * * * * [misc]progress: [ 98 / 145 ] simplifiying candidate # 1538422371.194 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538422371.194 * * [misc]simplify: iters left: 6 (9 enodes) 1538422371.196 * * [misc]simplify: iters left: 5 (12 enodes) 1538422371.200 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538422371.200 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538422371.200 * * * * [misc]progress: [ 99 / 145 ] simplifiying candidate # 1538422371.200 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538422371.200 * * [misc]simplify: iters left: 4 (5 enodes) 1538422371.202 * * [misc]simplify: iters left: 3 (9 enodes) 1538422371.204 * * [misc]simplify: iters left: 2 (11 enodes) 1538422371.206 * * [misc]simplify: iters left: 1 (13 enodes) 1538422371.209 * [exit]simplify: Simplified to (sqrt PI) 1538422371.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1538422371.209 * * * * [misc]progress: [ 100 / 145 ] simplifiying candidate # 1538422371.210 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538422371.210 * * [misc]simplify: iters left: 4 (5 enodes) 1538422371.211 * * [misc]simplify: iters left: 3 (9 enodes) 1538422371.214 * * [misc]simplify: iters left: 2 (11 enodes) 1538422371.216 * * [misc]simplify: iters left: 1 (13 enodes) 1538422371.219 * [exit]simplify: Simplified to (sqrt PI) 1538422371.219 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1538422371.219 * * * * [misc]progress: [ 101 / 145 ] simplifiying candidate # 1538422371.219 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538422371.219 * * [misc]simplify: iters left: 4 (5 enodes) 1538422371.221 * * [misc]simplify: iters left: 3 (8 enodes) 1538422371.224 * * [misc]simplify: iters left: 2 (9 enodes) 1538422371.226 * * [misc]simplify: iters left: 1 (12 enodes) 1538422371.230 * [exit]simplify: Simplified to (sqrt PI) 1538422371.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1538422371.230 * * * * [misc]progress: [ 102 / 145 ] simplifiying candidate # 1538422371.230 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538422371.231 * * [misc]simplify: iters left: 4 (5 enodes) 1538422371.232 * * [misc]simplify: iters left: 3 (8 enodes) 1538422371.235 * * [misc]simplify: iters left: 2 (9 enodes) 1538422371.237 * * [misc]simplify: iters left: 1 (12 enodes) 1538422371.241 * [exit]simplify: Simplified to (sqrt PI) 1538422371.241 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1538422371.241 * * * * [misc]progress: [ 103 / 145 ] simplifiying candidate # 1538422371.241 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1538422371.241 * * [misc]simplify: iters left: 6 (11 enodes) 1538422371.245 * * [misc]simplify: iters left: 5 (17 enodes) 1538422371.250 * * [misc]simplify: iters left: 4 (26 enodes) 1538422371.255 * * [misc]simplify: iters left: 3 (44 enodes) 1538422371.261 * * [misc]simplify: iters left: 2 (85 enodes) 1538422371.277 * * [misc]simplify: iters left: 1 (125 enodes) 1538422371.290 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538422371.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538422371.290 * * * * [misc]progress: [ 104 / 145 ] simplifiying candidate # 1538422371.290 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1538422371.290 * * [misc]simplify: iters left: 6 (10 enodes) 1538422371.291 * * [misc]simplify: iters left: 5 (16 enodes) 1538422371.294 * * [misc]simplify: iters left: 4 (25 enodes) 1538422371.297 * * [misc]simplify: iters left: 3 (43 enodes) 1538422371.304 * * [misc]simplify: iters left: 2 (84 enodes) 1538422371.316 * * [misc]simplify: iters left: 1 (124 enodes) 1538422371.328 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538422371.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538422371.328 * * * * [misc]progress: [ 105 / 145 ] simplifiying candidate # 1538422371.328 * * * * [misc]progress: [ 106 / 145 ] simplifiying candidate # 1538422371.328 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2)))) 1538422371.328 * * [misc]simplify: iters left: 6 (10 enodes) 1538422371.330 * * [misc]simplify: iters left: 5 (13 enodes) 1538422371.331 * [exit]simplify: Simplified to (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))) 1538422371.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (sqrt k))) (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))))) 1538422371.331 * * * * [misc]progress: [ 107 / 145 ] simplifiying candidate # 1538422371.332 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538422371.332 * * [misc]simplify: iters left: 5 (7 enodes) 1538422371.333 * * [misc]simplify: iters left: 4 (10 enodes) 1538422371.334 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538422371.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (sqrt k))) (pow (* n 2) (- (/ k 2))))) 1538422371.334 * * * * [misc]progress: [ 108 / 145 ] simplifiying candidate # 1538422371.334 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1538422371.334 * * [misc]simplify: iters left: 3 (4 enodes) 1538422371.335 * * [misc]simplify: iters left: 2 (5 enodes) 1538422371.335 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538422371.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (sqrt (* 2 n)))) 1538422371.335 * * * * [misc]progress: [ 109 / 145 ] simplifiying candidate # 1538422371.335 * * * * [misc]progress: [ 110 / 145 ] simplifiying candidate # 1538422371.336 * * * * [misc]progress: [ 111 / 145 ] simplifiying candidate # 1538422371.336 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1538422371.336 * * [misc]simplify: iters left: 6 (8 enodes) 1538422371.337 * * [misc]simplify: iters left: 5 (11 enodes) 1538422371.340 * * [misc]simplify: iters left: 4 (20 enodes) 1538422371.343 * * [misc]simplify: iters left: 3 (32 enodes) 1538422371.347 * * [misc]simplify: iters left: 2 (49 enodes) 1538422371.354 * * [misc]simplify: iters left: 1 (59 enodes) 1538422371.360 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1538422371.360 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.360 * * * * [misc]progress: [ 112 / 145 ] simplifiying candidate # 1538422371.360 * * * * [misc]progress: [ 113 / 145 ] simplifiying candidate # 1538422371.360 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1538422371.360 * * [misc]simplify: iters left: 6 (10 enodes) 1538422371.361 * * [misc]simplify: iters left: 5 (13 enodes) 1538422371.363 * * [misc]simplify: iters left: 4 (16 enodes) 1538422371.365 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1538422371.365 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.365 * * * * [misc]progress: [ 114 / 145 ] simplifiying candidate # 1538422371.365 * * * * [misc]progress: [ 115 / 145 ] simplifiying candidate # 1538422371.365 * * * * [misc]progress: [ 116 / 145 ] simplifiying candidate # 1538422371.365 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1538422371.366 * * [misc]simplify: iters left: 6 (12 enodes) 1538422371.367 * * [misc]simplify: iters left: 5 (21 enodes) 1538422371.371 * * [misc]simplify: iters left: 4 (67 enodes) 1538422371.408 * * [misc]simplify: iters left: 3 (327 enodes) 1538422371.758 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1538422371.759 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.759 * * * * [misc]progress: [ 117 / 145 ] simplifiying candidate # 1538422371.759 * * * * [misc]progress: [ 118 / 145 ] simplifiying candidate # 1538422371.759 * * * * [misc]progress: [ 119 / 145 ] simplifiying candidate # 1538422371.759 * * * * [misc]progress: [ 120 / 145 ] simplifiying candidate # 1538422371.759 * * * * [misc]progress: [ 121 / 145 ] simplifiying candidate # 1538422371.759 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538422371.759 * * [misc]simplify: iters left: 6 (7 enodes) 1538422371.761 * * [misc]simplify: iters left: 5 (12 enodes) 1538422371.765 * * [misc]simplify: iters left: 4 (22 enodes) 1538422371.770 * * [misc]simplify: iters left: 3 (35 enodes) 1538422371.778 * * [misc]simplify: iters left: 2 (42 enodes) 1538422371.788 * * [misc]simplify: iters left: 1 (47 enodes) 1538422371.799 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538422371.799 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.799 * * * * [misc]progress: [ 122 / 145 ] simplifiying candidate # 1538422371.799 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538422371.799 * * [misc]simplify: iters left: 6 (7 enodes) 1538422371.801 * * [misc]simplify: iters left: 5 (12 enodes) 1538422371.805 * * [misc]simplify: iters left: 4 (22 enodes) 1538422371.810 * * [misc]simplify: iters left: 3 (35 enodes) 1538422371.818 * * [misc]simplify: iters left: 2 (42 enodes) 1538422371.830 * * [misc]simplify: iters left: 1 (47 enodes) 1538422371.835 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538422371.836 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.836 * * * * [misc]progress: [ 123 / 145 ] simplifiying candidate # 1538422371.836 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538422371.836 * * [misc]simplify: iters left: 6 (7 enodes) 1538422371.837 * * [misc]simplify: iters left: 5 (12 enodes) 1538422371.839 * * [misc]simplify: iters left: 4 (22 enodes) 1538422371.842 * * [misc]simplify: iters left: 3 (32 enodes) 1538422371.846 * * [misc]simplify: iters left: 2 (36 enodes) 1538422371.850 * * [misc]simplify: iters left: 1 (43 enodes) 1538422371.855 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538422371.855 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.855 * * * * [misc]progress: [ 124 / 145 ] simplifiying candidate # 1538422371.856 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538422371.856 * * [misc]simplify: iters left: 6 (7 enodes) 1538422371.857 * * [misc]simplify: iters left: 5 (12 enodes) 1538422371.859 * * [misc]simplify: iters left: 4 (22 enodes) 1538422371.862 * * [misc]simplify: iters left: 3 (32 enodes) 1538422371.866 * * [misc]simplify: iters left: 2 (36 enodes) 1538422371.870 * * [misc]simplify: iters left: 1 (43 enodes) 1538422371.876 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538422371.876 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.876 * * * * [misc]progress: [ 125 / 145 ] simplifiying candidate # 1538422371.876 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538422371.876 * * [misc]simplify: iters left: 5 (6 enodes) 1538422371.877 * * [misc]simplify: iters left: 4 (8 enodes) 1538422371.878 * * [misc]simplify: iters left: 3 (11 enodes) 1538422371.879 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538422371.879 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.879 * * * * [misc]progress: [ 126 / 145 ] simplifiying candidate # 1538422371.880 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538422371.880 * * [misc]simplify: iters left: 5 (6 enodes) 1538422371.881 * * [misc]simplify: iters left: 4 (8 enodes) 1538422371.882 * * [misc]simplify: iters left: 3 (11 enodes) 1538422371.883 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538422371.883 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.883 * * * * [misc]progress: [ 127 / 145 ] simplifiying candidate # 1538422371.883 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538422371.883 * * [misc]simplify: iters left: 4 (5 enodes) 1538422371.884 * * [misc]simplify: iters left: 3 (7 enodes) 1538422371.885 * * [misc]simplify: iters left: 2 (10 enodes) 1538422371.886 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538422371.886 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.886 * * * * [misc]progress: [ 128 / 145 ] simplifiying candidate # 1538422371.887 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1538422371.887 * * [misc]simplify: iters left: 4 (4 enodes) 1538422371.887 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1538422371.887 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.887 * * * * [misc]progress: [ 129 / 145 ] simplifiying candidate # 1538422371.888 * [enter]simplify: Simplifying (sqrt (log PI)) 1538422371.888 * * [misc]simplify: iters left: 2 (3 enodes) 1538422371.888 * [exit]simplify: Simplified to (sqrt (log PI)) 1538422371.888 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.888 * * * * [misc]progress: [ 130 / 145 ] simplifiying candidate # 1538422371.888 * * * * [misc]progress: [ 131 / 145 ] simplifiying candidate # 1538422371.889 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1538422371.889 * * [misc]simplify: iters left: 6 (9 enodes) 1538422371.893 * * [misc]simplify: iters left: 5 (25 enodes) 1538422371.899 * * [misc]simplify: iters left: 4 (44 enodes) 1538422371.912 * * [misc]simplify: iters left: 3 (64 enodes) 1538422371.928 * * [misc]simplify: iters left: 2 (85 enodes) 1538422371.945 * * [misc]simplify: iters left: 1 (112 enodes) 1538422371.989 * [exit]simplify: Simplified to (fma k (fma k 1/4 1/4) 1/4) 1538422371.989 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (fma k (fma k 1/4 1/4) 1/4))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.989 * * * * [misc]progress: [ 132 / 145 ] simplifiying candidate # 1538422371.989 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1538422371.990 * * [misc]simplify: iters left: 4 (5 enodes) 1538422371.991 * * [misc]simplify: iters left: 3 (6 enodes) 1538422371.992 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1538422371.992 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.992 * * * * [misc]progress: [ 133 / 145 ] simplifiying candidate # 1538422371.993 * * * * [misc]progress: [ 134 / 145 ] simplifiying candidate # 1538422371.993 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (+ (* +nan.0 (/ n (sqrt 2))) (- (* +nan.0 (/ (pow n 2) (sqrt 2)))))))) 1538422371.993 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.993 * * * * [misc]progress: [ 135 / 145 ] simplifiying candidate # 1538422371.993 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (* +nan.0 (/ 1 (* (sqrt 2) n)))))))) 1538422371.993 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.993 * * * * [misc]progress: [ 136 / 145 ] simplifiying candidate # 1538422371.993 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1538422371.993 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422371.993 * * * * [misc]progress: [ 137 / 145 ] simplifiying candidate # 1538422371.994 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* n (pow k 2)) (sqrt 2))) (- (+ (* +nan.0 (/ k (sqrt 2))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (sqrt 2)))))))))) 1538422371.994 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538422371.994 * * * * [misc]progress: [ 138 / 145 ] simplifiying candidate # 1538422371.994 * [enter]simplify: Simplifying (* +nan.0 (/ k (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n)))) 1538422371.994 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538422371.994 * * * * [misc]progress: [ 139 / 145 ] simplifiying candidate # 1538422371.994 * [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)))))))))) 1538422371.994 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538422371.994 * * * * [misc]progress: [ 140 / 145 ] simplifiying candidate # 1538422371.995 * [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)))))))))))))))))))))) 1538422371.995 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422371.995 * * * * [misc]progress: [ 141 / 145 ] simplifiying candidate # 1538422371.995 * [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)) 1538422371.995 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422371.995 * * * * [misc]progress: [ 142 / 145 ] simplifiying candidate # 1538422371.995 * [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))))))) 1538422371.995 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538422371.995 * * * * [misc]progress: [ 143 / 145 ] simplifiying candidate # 1538422371.996 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422371.996 * * [misc]simplify: iters left: 6 (8 enodes) 1538422371.998 * * [misc]simplify: iters left: 5 (17 enodes) 1538422372.003 * * [misc]simplify: iters left: 4 (38 enodes) 1538422372.014 * * [misc]simplify: iters left: 3 (68 enodes) 1538422372.038 * * [misc]simplify: iters left: 2 (90 enodes) 1538422372.062 * * [misc]simplify: iters left: 1 (105 enodes) 1538422372.105 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1538422372.105 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422372.105 * * * * [misc]progress: [ 144 / 145 ] simplifiying candidate # 1538422372.105 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422372.105 * * [misc]simplify: iters left: 6 (8 enodes) 1538422372.107 * * [misc]simplify: iters left: 5 (17 enodes) 1538422372.110 * * [misc]simplify: iters left: 4 (38 enodes) 1538422372.116 * * [misc]simplify: iters left: 3 (68 enodes) 1538422372.126 * * [misc]simplify: iters left: 2 (90 enodes) 1538422372.150 * * [misc]simplify: iters left: 1 (105 enodes) 1538422372.177 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1538422372.177 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422372.177 * * * * [misc]progress: [ 145 / 145 ] simplifiying candidate # 1538422372.177 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538422372.177 * * [misc]simplify: iters left: 6 (8 enodes) 1538422372.178 * * [misc]simplify: iters left: 5 (17 enodes) 1538422372.181 * * [misc]simplify: iters left: 4 (38 enodes) 1538422372.192 * * [misc]simplify: iters left: 3 (68 enodes) 1538422372.212 * * [misc]simplify: iters left: 2 (90 enodes) 1538422372.239 * * [misc]simplify: iters left: 1 (105 enodes) 1538422372.272 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (log PI)) 1538422372.272 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (fma k -1/2 1/2) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538422372.272 * * * [misc]progress: adding candidates to table 1538422374.575 * [misc]progress: [Phase 3 of 3] Extracting. 1538422374.575 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1538422374.578 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1538422374.578 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1538422374.667 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1538422374.741 * * * [misc]regime: Found split indices: #