1540336144.454 * [misc]progress: [Phase 1 of 3] Setting up. 1540336144.454 * * * [misc]progress: [1/2] Preparing points 1540336144.454 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540336144.457 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1540336144.461 * * * * [misc]points: Setting MPFR precision to 64 1540336144.462 * * * * [misc]points: Setting MPFR precision to 320 1540336144.463 * * * * [misc]points: Setting MPFR precision to 576 1540336144.465 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1540336144.474 * * * * [misc]points: Setting MPFR precision to 320 1540336144.476 * * * * [misc]points: Setting MPFR precision to 576 1540336144.478 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1540336144.488 * * * * [misc]points: Setting MPFR precision to 320 1540336144.491 * * * * [misc]points: Setting MPFR precision to 576 1540336144.495 * * * * [misc]points: Setting MPFR precision to 832 1540336144.499 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.503 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1540336144.529 * * * * [misc]points: Setting MPFR precision to 832 1540336144.536 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.544 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.551 * * * * [misc]points: Computing exacts for 256 points 1540336144.566 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.577 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.588 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336144.588 * * * * [misc]points: Sampling 216 additional inputs, on iter 1 have 40 / 256 1540336144.589 * * * * [misc]points: Computing exacts on every 13 of 216 points to ramp up precision 1540336144.613 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.617 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.618 * * * * [misc]points: Computing exacts on every 6 of 216 points to ramp up precision 1540336144.636 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.639 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.642 * * * * [misc]points: Computing exacts on every 3 of 216 points to ramp up precision 1540336144.660 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.664 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.668 * * * * [misc]points: Computing exacts for 216 points 1540336144.693 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.710 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.728 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336144.728 * * * * [misc]points: Sampling 178 additional inputs, on iter 2 have 78 / 256 1540336144.730 * * * * [misc]points: Computing exacts on every 11 of 178 points to ramp up precision 1540336144.748 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.749 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.750 * * * * [misc]points: Computing exacts on every 5 of 178 points to ramp up precision 1540336144.768 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.771 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.774 * * * * [misc]points: Computing exacts on every 2 of 178 points to ramp up precision 1540336144.804 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.809 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.815 * * * * [misc]points: Computing exacts for 178 points 1540336144.832 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.847 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.863 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336144.863 * * * * [misc]points: Sampling 139 additional inputs, on iter 3 have 117 / 256 1540336144.864 * * * * [misc]points: Computing exacts on every 8 of 139 points to ramp up precision 1540336144.881 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.882 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.883 * * * * [misc]points: Computing exacts on every 4 of 139 points to ramp up precision 1540336144.892 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.894 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.895 * * * * [misc]points: Computing exacts on every 2 of 139 points to ramp up precision 1540336144.912 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.915 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.917 * * * * [misc]points: Computing exacts for 139 points 1540336144.930 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.936 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.943 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336144.943 * * * * [misc]points: Sampling 112 additional inputs, on iter 4 have 144 / 256 1540336144.943 * * * * [misc]points: Computing exacts on every 7 of 112 points to ramp up precision 1540336144.952 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.953 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.954 * * * * [misc]points: Computing exacts on every 3 of 112 points to ramp up precision 1540336144.969 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.970 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.972 * * * * [misc]points: Computing exacts for 112 points 1540336144.987 * * * * [misc]points: Setting MPFR precision to 1088 1540336144.994 * * * * [misc]points: Setting MPFR precision to 1344 1540336144.998 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336144.999 * * * * [misc]points: Sampling 96 additional inputs, on iter 5 have 160 / 256 1540336144.999 * * * * [misc]points: Computing exacts on every 6 of 96 points to ramp up precision 1540336145.008 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.008 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.009 * * * * [misc]points: Computing exacts on every 3 of 96 points to ramp up precision 1540336145.028 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.030 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.031 * * * * [misc]points: Computing exacts for 96 points 1540336145.040 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.044 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.048 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.048 * * * * [misc]points: Sampling 74 additional inputs, on iter 6 have 182 / 256 1540336145.049 * * * * [misc]points: Computing exacts on every 4 of 74 points to ramp up precision 1540336145.058 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.058 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.059 * * * * [misc]points: Computing exacts on every 2 of 74 points to ramp up precision 1540336145.080 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.082 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.085 * * * * [misc]points: Computing exacts for 74 points 1540336145.099 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.103 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.106 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.106 * * * * [misc]points: Sampling 61 additional inputs, on iter 7 have 195 / 256 1540336145.107 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision 1540336145.120 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.121 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.122 * * * * [misc]points: Computing exacts for 61 points 1540336145.131 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.135 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.138 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.138 * * * * [misc]points: Sampling 51 additional inputs, on iter 8 have 205 / 256 1540336145.139 * * * * [misc]points: Computing exacts on every 3 of 51 points to ramp up precision 1540336145.147 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.148 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.149 * * * * [misc]points: Computing exacts for 51 points 1540336145.162 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.164 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.166 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.166 * * * * [misc]points: Sampling 46 additional inputs, on iter 9 have 210 / 256 1540336145.166 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision 1540336145.183 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.185 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.187 * * * * [misc]points: Computing exacts for 46 points 1540336145.204 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.206 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.209 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.210 * * * * [misc]points: Sampling 37 additional inputs, on iter 10 have 219 / 256 1540336145.210 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision 1540336145.223 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.224 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.225 * * * * [misc]points: Computing exacts for 37 points 1540336145.233 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.235 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.237 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.237 * * * * [misc]points: Sampling 33 additional inputs, on iter 11 have 223 / 256 1540336145.237 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision 1540336145.252 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.254 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.255 * * * * [misc]points: Computing exacts for 33 points 1540336145.279 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.282 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.285 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.285 * * * * [misc]points: Sampling 26 additional inputs, on iter 12 have 230 / 256 1540336145.286 * * * * [misc]points: Computing exacts for 26 points 1540336145.303 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.306 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.308 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.308 * * * * [misc]points: Sampling 23 additional inputs, on iter 13 have 233 / 256 1540336145.308 * * * * [misc]points: Computing exacts for 23 points 1540336145.333 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.335 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.337 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.338 * * * * [misc]points: Sampling 17 additional inputs, on iter 14 have 239 / 256 1540336145.338 * * * * [misc]points: Computing exacts for 17 points 1540336145.354 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.355 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.356 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.356 * * * * [misc]points: Sampling 12 additional inputs, on iter 15 have 244 / 256 1540336145.356 * * * * [misc]points: Computing exacts for 12 points 1540336145.364 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.365 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.365 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.366 * * * * [misc]points: Sampling 10 additional inputs, on iter 16 have 246 / 256 1540336145.366 * * * * [misc]points: Computing exacts for 10 points 1540336145.378 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.378 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.379 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.379 * * * * [misc]points: Sampling 6 additional inputs, on iter 17 have 250 / 256 1540336145.379 * * * * [misc]points: Computing exacts for 6 points 1540336145.393 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.394 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.394 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.394 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 1540336145.395 * * * * [misc]points: Computing exacts for 4 points 1540336145.412 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.413 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.413 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.414 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1540336145.414 * * * * [misc]points: Computing exacts for 4 points 1540336145.430 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.431 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.431 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.431 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 1540336145.431 * * * * [misc]points: Computing exacts for 4 points 1540336145.439 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.440 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.440 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.440 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 255 / 256 1540336145.440 * * * * [misc]points: Computing exacts for 4 points 1540336145.449 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.449 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.449 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.449 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 255 / 256 1540336145.449 * * * * [misc]points: Computing exacts for 4 points 1540336145.469 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.469 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.470 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.470 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 255 / 256 1540336145.470 * * * * [misc]points: Computing exacts for 4 points 1540336145.482 * * * * [misc]points: Setting MPFR precision to 1088 1540336145.482 * * * * [misc]points: Setting MPFR precision to 1344 1540336145.482 * * * * [misc]points: Filtering points with unrepresentable outputs 1540336145.482 * * * * [exit]points: Sampled 256 points with exact outputs 1540336145.482 * * * [misc]progress: [2/2] Setting up program. 1540336145.485 * [misc]progress: [Phase 2 of 3] Improving. 1540336145.486 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1540336145.486 * * [misc]simplify: iters left: 6 (13 enodes) 1540336145.488 * * [misc]simplify: iters left: 5 (28 enodes) 1540336145.492 * * [misc]simplify: iters left: 4 (44 enodes) 1540336145.498 * * [misc]simplify: iters left: 3 (54 enodes) 1540336145.505 * * [misc]simplify: iters left: 2 (57 enodes) 1540336145.516 * * [misc]simplify: iters left: 1 (65 enodes) 1540336145.532 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540336145.546 * * [misc]progress: iteration 1 / 4 1540336145.546 * * * [misc]progress: picking best candidate 1540336145.558 * * * * [misc]pick: Picked # 1540336145.558 * * * [misc]progress: localizing error 1540336145.615 * * * [misc]progress: generating rewritten candidates 1540336145.615 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1540336145.622 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1540336145.627 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1540336145.640 * * * [misc]progress: generating series expansions 1540336145.640 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1540336145.641 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540336145.641 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540336145.641 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.641 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.641 * [misc]taylor: Taking taylor expansion of k in k 1540336145.641 * [misc]backup-simplify: Simplify 0 into 0 1540336145.641 * [misc]backup-simplify: Simplify 1 into 1 1540336145.641 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of 2 in k 1540336145.641 * [misc]backup-simplify: Simplify 2 into 2 1540336145.641 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540336145.641 * [misc]taylor: Taking taylor expansion of n in k 1540336145.642 * [misc]backup-simplify: Simplify n into n 1540336145.642 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.642 * [misc]backup-simplify: Simplify PI into PI 1540336145.642 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540336145.642 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540336145.642 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540336145.642 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540336145.642 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.643 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336145.643 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540336145.643 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540336145.643 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.643 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.643 * [misc]taylor: Taking taylor expansion of k in n 1540336145.643 * [misc]backup-simplify: Simplify k into k 1540336145.643 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.643 * [misc]backup-simplify: Simplify 2 into 2 1540336145.643 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336145.643 * [misc]taylor: Taking taylor expansion of n in n 1540336145.643 * [misc]backup-simplify: Simplify 0 into 0 1540336145.643 * [misc]backup-simplify: Simplify 1 into 1 1540336145.643 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.643 * [misc]backup-simplify: Simplify PI into PI 1540336145.644 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336145.644 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336145.645 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336145.645 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336145.646 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.646 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540336145.646 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336145.646 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540336145.647 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.647 * [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)))) 1540336145.648 * [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))))) 1540336145.648 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.648 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.648 * [misc]taylor: Taking taylor expansion of k in n 1540336145.648 * [misc]backup-simplify: Simplify k into k 1540336145.648 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.648 * [misc]backup-simplify: Simplify 2 into 2 1540336145.648 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336145.648 * [misc]taylor: Taking taylor expansion of n in n 1540336145.648 * [misc]backup-simplify: Simplify 0 into 0 1540336145.648 * [misc]backup-simplify: Simplify 1 into 1 1540336145.648 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.648 * [misc]backup-simplify: Simplify PI into PI 1540336145.649 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336145.649 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336145.649 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336145.650 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336145.651 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.651 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540336145.651 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336145.651 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540336145.651 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.652 * [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)))) 1540336145.653 * [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))))) 1540336145.653 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.653 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.653 * [misc]taylor: Taking taylor expansion of k in k 1540336145.653 * [misc]backup-simplify: Simplify 0 into 0 1540336145.653 * [misc]backup-simplify: Simplify 1 into 1 1540336145.653 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of n in k 1540336145.653 * [misc]backup-simplify: Simplify n into n 1540336145.653 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336145.653 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336145.653 * [misc]taylor: Taking taylor expansion of 2 in k 1540336145.653 * [misc]backup-simplify: Simplify 2 into 2 1540336145.653 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.653 * [misc]backup-simplify: Simplify PI into PI 1540336145.653 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.654 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.654 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540336145.654 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.654 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336145.655 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.656 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540336145.656 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540336145.657 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540336145.658 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336145.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336145.662 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336145.662 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540336145.662 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.663 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.664 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540336145.665 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336145.665 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.665 * [misc]backup-simplify: Simplify 0 into 0 1540336145.665 * [misc]backup-simplify: Simplify 0 into 0 1540336145.666 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540336145.667 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336145.670 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336145.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.670 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540336145.670 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336145.670 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540336145.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540336145.673 * [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))))))) 1540336145.674 * [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))))))) 1540336145.675 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.677 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336145.682 * [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 1540336145.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540336145.683 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.683 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.683 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.684 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540336145.687 * [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 1540336145.687 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.687 * [misc]backup-simplify: Simplify 0 into 0 1540336145.687 * [misc]backup-simplify: Simplify 0 into 0 1540336145.687 * [misc]backup-simplify: Simplify 0 into 0 1540336145.688 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540336145.689 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336145.695 * [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 1540336145.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540336145.696 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.697 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540336145.699 * [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))))) 1540336145.701 * [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))))) 1540336145.712 * [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))))) 1540336145.712 * [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)))) 1540336145.712 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540336145.712 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of k in k 1540336145.713 * [misc]backup-simplify: Simplify 0 into 0 1540336145.713 * [misc]backup-simplify: Simplify 1 into 1 1540336145.713 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336145.713 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of 2 in k 1540336145.713 * [misc]backup-simplify: Simplify 2 into 2 1540336145.713 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336145.713 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.713 * [misc]backup-simplify: Simplify PI into PI 1540336145.713 * [misc]taylor: Taking taylor expansion of n in k 1540336145.713 * [misc]backup-simplify: Simplify n into n 1540336145.713 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336145.713 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540336145.713 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540336145.714 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336145.714 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336145.714 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540336145.714 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540336145.714 * [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)))) 1540336145.714 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540336145.714 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540336145.714 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540336145.714 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540336145.714 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.715 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336145.715 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.715 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336145.715 * [misc]taylor: Taking taylor expansion of k in n 1540336145.715 * [misc]backup-simplify: Simplify k into k 1540336145.715 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336145.715 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540336145.715 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336145.715 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.715 * [misc]backup-simplify: Simplify 2 into 2 1540336145.715 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.715 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.715 * [misc]backup-simplify: Simplify PI into PI 1540336145.715 * [misc]taylor: Taking taylor expansion of n in n 1540336145.715 * [misc]backup-simplify: Simplify 0 into 0 1540336145.715 * [misc]backup-simplify: Simplify 1 into 1 1540336145.715 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.716 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.716 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.716 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336145.716 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336145.717 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540336145.717 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336145.718 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1540336145.718 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1540336145.718 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540336145.718 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540336145.718 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540336145.719 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540336145.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336145.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336145.719 * [misc]taylor: Taking taylor expansion of k in n 1540336145.719 * [misc]backup-simplify: Simplify k into k 1540336145.719 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336145.719 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540336145.719 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336145.719 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.719 * [misc]backup-simplify: Simplify 2 into 2 1540336145.719 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.719 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.719 * [misc]backup-simplify: Simplify PI into PI 1540336145.719 * [misc]taylor: Taking taylor expansion of n in n 1540336145.719 * [misc]backup-simplify: Simplify 0 into 0 1540336145.719 * [misc]backup-simplify: Simplify 1 into 1 1540336145.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.720 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.720 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.720 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336145.720 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336145.720 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540336145.721 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336145.722 * [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))) 1540336145.722 * [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)))) 1540336145.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of k in k 1540336145.723 * [misc]backup-simplify: Simplify 0 into 0 1540336145.723 * [misc]backup-simplify: Simplify 1 into 1 1540336145.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336145.723 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336145.723 * [misc]taylor: Taking taylor expansion of 2 in k 1540336145.723 * [misc]backup-simplify: Simplify 2 into 2 1540336145.723 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.723 * [misc]backup-simplify: Simplify PI into PI 1540336145.723 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.724 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.724 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336145.724 * [misc]taylor: Taking taylor expansion of n in k 1540336145.724 * [misc]backup-simplify: Simplify n into n 1540336145.724 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336145.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336145.724 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336145.724 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540336145.725 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336145.725 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336145.726 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336145.726 * [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)))) 1540336145.727 * [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)))) 1540336145.728 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336145.729 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336145.731 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336145.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336145.732 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540336145.732 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.732 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.733 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336145.733 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540336145.735 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336145.735 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.735 * [misc]backup-simplify: Simplify 0 into 0 1540336145.735 * [misc]backup-simplify: Simplify 0 into 0 1540336145.735 * [misc]backup-simplify: Simplify 0 into 0 1540336145.737 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.738 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336145.743 * [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 1540336145.743 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336145.744 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540336145.744 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.744 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336145.746 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540336145.748 * [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 1540336145.748 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.748 * [misc]backup-simplify: Simplify 0 into 0 1540336145.748 * [misc]backup-simplify: Simplify 0 into 0 1540336145.748 * [misc]backup-simplify: Simplify 0 into 0 1540336145.748 * [misc]backup-simplify: Simplify 0 into 0 1540336145.750 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.752 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.760 * [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 1540336145.760 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336145.760 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540336145.761 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336145.762 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540336145.766 * [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 1540336145.766 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.766 * [misc]backup-simplify: Simplify 0 into 0 1540336145.766 * [misc]backup-simplify: Simplify 0 into 0 1540336145.767 * [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))))) 1540336145.767 * [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)) 1540336145.767 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540336145.767 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540336145.767 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540336145.767 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540336145.767 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540336145.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336145.767 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336145.767 * [misc]taylor: Taking taylor expansion of k in k 1540336145.767 * [misc]backup-simplify: Simplify 0 into 0 1540336145.767 * [misc]backup-simplify: Simplify 1 into 1 1540336145.768 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336145.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.768 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540336145.768 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540336145.768 * [misc]taylor: Taking taylor expansion of -2 in k 1540336145.768 * [misc]backup-simplify: Simplify -2 into -2 1540336145.768 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336145.768 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.768 * [misc]backup-simplify: Simplify PI into PI 1540336145.768 * [misc]taylor: Taking taylor expansion of n in k 1540336145.768 * [misc]backup-simplify: Simplify n into n 1540336145.768 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336145.768 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540336145.768 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540336145.768 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336145.768 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336145.768 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540336145.768 * [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))) 1540336145.768 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540336145.768 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540336145.768 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540336145.768 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540336145.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336145.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336145.768 * [misc]taylor: Taking taylor expansion of k in n 1540336145.768 * [misc]backup-simplify: Simplify k into k 1540336145.769 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336145.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.769 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540336145.769 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336145.769 * [misc]taylor: Taking taylor expansion of -2 in n 1540336145.769 * [misc]backup-simplify: Simplify -2 into -2 1540336145.769 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.769 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.769 * [misc]backup-simplify: Simplify PI into PI 1540336145.769 * [misc]taylor: Taking taylor expansion of n in n 1540336145.769 * [misc]backup-simplify: Simplify 0 into 0 1540336145.769 * [misc]backup-simplify: Simplify 1 into 1 1540336145.769 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.769 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336145.769 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336145.769 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336145.770 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540336145.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336145.770 * [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))) 1540336145.771 * [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)))) 1540336145.771 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of k in n 1540336145.771 * [misc]backup-simplify: Simplify k into k 1540336145.771 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336145.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.771 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of -2 in n 1540336145.771 * [misc]backup-simplify: Simplify -2 into -2 1540336145.771 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.771 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.771 * [misc]backup-simplify: Simplify PI into PI 1540336145.771 * [misc]taylor: Taking taylor expansion of n in n 1540336145.771 * [misc]backup-simplify: Simplify 0 into 0 1540336145.771 * [misc]backup-simplify: Simplify 1 into 1 1540336145.771 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.772 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336145.772 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336145.772 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336145.772 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540336145.773 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336145.773 * [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))) 1540336145.773 * [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)))) 1540336145.773 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540336145.773 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540336145.773 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540336145.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336145.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336145.773 * [misc]taylor: Taking taylor expansion of k in k 1540336145.774 * [misc]backup-simplify: Simplify 0 into 0 1540336145.774 * [misc]backup-simplify: Simplify 1 into 1 1540336145.774 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336145.774 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.774 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540336145.774 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540336145.774 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540336145.774 * [misc]taylor: Taking taylor expansion of -2 in k 1540336145.774 * [misc]backup-simplify: Simplify -2 into -2 1540336145.774 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.774 * [misc]backup-simplify: Simplify PI into PI 1540336145.774 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336145.774 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336145.774 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336145.774 * [misc]taylor: Taking taylor expansion of n in k 1540336145.774 * [misc]backup-simplify: Simplify n into n 1540336145.774 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336145.774 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336145.775 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336145.775 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336145.775 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540336145.775 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540336145.776 * [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)))) 1540336145.776 * [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)))) 1540336145.777 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336145.777 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336145.779 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540336145.779 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336145.779 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540336145.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.780 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336145.780 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540336145.781 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336145.781 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.781 * [misc]backup-simplify: Simplify 0 into 0 1540336145.781 * [misc]backup-simplify: Simplify 0 into 0 1540336145.781 * [misc]backup-simplify: Simplify 0 into 0 1540336145.782 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.783 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336145.786 * [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 1540336145.786 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336145.786 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540336145.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.786 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336145.787 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540336145.788 * [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 1540336145.789 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.789 * [misc]backup-simplify: Simplify 0 into 0 1540336145.789 * [misc]backup-simplify: Simplify 0 into 0 1540336145.789 * [misc]backup-simplify: Simplify 0 into 0 1540336145.789 * [misc]backup-simplify: Simplify 0 into 0 1540336145.790 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.791 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.796 * [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 1540336145.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336145.796 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540336145.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336145.797 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540336145.800 * [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 1540336145.800 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.800 * [misc]backup-simplify: Simplify 0 into 0 1540336145.800 * [misc]backup-simplify: Simplify 0 into 0 1540336145.800 * [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))))) 1540336145.800 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1540336145.800 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540336145.800 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540336145.800 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336145.800 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.800 * [misc]backup-simplify: Simplify 2 into 2 1540336145.800 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336145.800 * [misc]taylor: Taking taylor expansion of n in n 1540336145.800 * [misc]backup-simplify: Simplify 0 into 0 1540336145.800 * [misc]backup-simplify: Simplify 1 into 1 1540336145.800 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.800 * [misc]backup-simplify: Simplify PI into PI 1540336145.800 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336145.800 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.800 * [misc]backup-simplify: Simplify 2 into 2 1540336145.800 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336145.800 * [misc]taylor: Taking taylor expansion of n in n 1540336145.800 * [misc]backup-simplify: Simplify 0 into 0 1540336145.801 * [misc]backup-simplify: Simplify 1 into 1 1540336145.801 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.801 * [misc]backup-simplify: Simplify PI into PI 1540336145.801 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336145.801 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336145.801 * [misc]backup-simplify: Simplify 0 into 0 1540336145.801 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336145.802 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336145.802 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.803 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336145.804 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336145.804 * [misc]backup-simplify: Simplify 0 into 0 1540336145.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.806 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336145.806 * [misc]backup-simplify: Simplify 0 into 0 1540336145.807 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336145.809 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336145.809 * [misc]backup-simplify: Simplify 0 into 0 1540336145.812 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336145.815 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540336145.815 * [misc]backup-simplify: Simplify 0 into 0 1540336145.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336145.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540336145.822 * [misc]backup-simplify: Simplify 0 into 0 1540336145.826 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540336145.830 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540336145.830 * [misc]backup-simplify: Simplify 0 into 0 1540336145.831 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540336145.831 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540336145.831 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540336145.831 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336145.831 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.831 * [misc]backup-simplify: Simplify 2 into 2 1540336145.831 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.831 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.831 * [misc]backup-simplify: Simplify PI into PI 1540336145.831 * [misc]taylor: Taking taylor expansion of n in n 1540336145.831 * [misc]backup-simplify: Simplify 0 into 0 1540336145.831 * [misc]backup-simplify: Simplify 1 into 1 1540336145.831 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.831 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336145.831 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.831 * [misc]backup-simplify: Simplify 2 into 2 1540336145.831 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.831 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.832 * [misc]backup-simplify: Simplify PI into PI 1540336145.832 * [misc]taylor: Taking taylor expansion of n in n 1540336145.832 * [misc]backup-simplify: Simplify 0 into 0 1540336145.832 * [misc]backup-simplify: Simplify 1 into 1 1540336145.832 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.832 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.832 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336145.834 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336145.834 * [misc]backup-simplify: Simplify 0 into 0 1540336145.836 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336145.837 * [misc]backup-simplify: Simplify 0 into 0 1540336145.838 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.840 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.840 * [misc]backup-simplify: Simplify 0 into 0 1540336145.841 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336145.842 * [misc]backup-simplify: Simplify 0 into 0 1540336145.843 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.846 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336145.846 * [misc]backup-simplify: Simplify 0 into 0 1540336145.848 * [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 1540336145.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336145.850 * [misc]backup-simplify: Simplify 0 into 0 1540336145.850 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540336145.850 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540336145.850 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540336145.850 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336145.850 * [misc]taylor: Taking taylor expansion of -2 in n 1540336145.850 * [misc]backup-simplify: Simplify -2 into -2 1540336145.850 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.850 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.850 * [misc]backup-simplify: Simplify PI into PI 1540336145.850 * [misc]taylor: Taking taylor expansion of n in n 1540336145.850 * [misc]backup-simplify: Simplify 0 into 0 1540336145.850 * [misc]backup-simplify: Simplify 1 into 1 1540336145.850 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.850 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336145.850 * [misc]taylor: Taking taylor expansion of -2 in n 1540336145.851 * [misc]backup-simplify: Simplify -2 into -2 1540336145.851 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336145.851 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.851 * [misc]backup-simplify: Simplify PI into PI 1540336145.851 * [misc]taylor: Taking taylor expansion of n in n 1540336145.851 * [misc]backup-simplify: Simplify 0 into 0 1540336145.851 * [misc]backup-simplify: Simplify 1 into 1 1540336145.851 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336145.851 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336145.851 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336145.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336145.852 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336145.852 * [misc]backup-simplify: Simplify 0 into 0 1540336145.853 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.854 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336145.854 * [misc]backup-simplify: Simplify 0 into 0 1540336145.855 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.856 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.856 * [misc]backup-simplify: Simplify 0 into 0 1540336145.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.858 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336145.858 * [misc]backup-simplify: Simplify 0 into 0 1540336145.860 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.861 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336145.861 * [misc]backup-simplify: Simplify 0 into 0 1540336145.863 * [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 1540336145.865 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336145.865 * [misc]backup-simplify: Simplify 0 into 0 1540336145.865 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540336145.865 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1540336145.865 * [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)))) 1540336145.865 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1540336145.865 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540336145.865 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of k in k 1540336145.866 * [misc]backup-simplify: Simplify 0 into 0 1540336145.866 * [misc]backup-simplify: Simplify 1 into 1 1540336145.866 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336145.866 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336145.866 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540336145.866 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.866 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.866 * [misc]taylor: Taking taylor expansion of k in k 1540336145.866 * [misc]backup-simplify: Simplify 0 into 0 1540336145.866 * [misc]backup-simplify: Simplify 1 into 1 1540336145.866 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540336145.866 * [misc]taylor: Taking taylor expansion of 2 in k 1540336145.867 * [misc]backup-simplify: Simplify 2 into 2 1540336145.867 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540336145.867 * [misc]taylor: Taking taylor expansion of n in k 1540336145.867 * [misc]backup-simplify: Simplify n into n 1540336145.867 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.867 * [misc]backup-simplify: Simplify PI into PI 1540336145.867 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540336145.867 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540336145.867 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540336145.867 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540336145.867 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.867 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336145.867 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540336145.867 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540336145.867 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540336145.867 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540336145.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336145.867 * [misc]taylor: Taking taylor expansion of k in n 1540336145.867 * [misc]backup-simplify: Simplify k into k 1540336145.867 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336145.867 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540336145.867 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336145.867 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540336145.867 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.868 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.868 * [misc]taylor: Taking taylor expansion of k in n 1540336145.868 * [misc]backup-simplify: Simplify k into k 1540336145.868 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.868 * [misc]backup-simplify: Simplify 2 into 2 1540336145.868 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336145.868 * [misc]taylor: Taking taylor expansion of n in n 1540336145.868 * [misc]backup-simplify: Simplify 0 into 0 1540336145.868 * [misc]backup-simplify: Simplify 1 into 1 1540336145.868 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.868 * [misc]backup-simplify: Simplify PI into PI 1540336145.868 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336145.868 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336145.868 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336145.869 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336145.869 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.869 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540336145.869 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336145.869 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540336145.870 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.870 * [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)))) 1540336145.870 * [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))))) 1540336145.871 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of k in n 1540336145.871 * [misc]backup-simplify: Simplify k into k 1540336145.871 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336145.871 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540336145.871 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336145.871 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540336145.871 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.871 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336145.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.871 * [misc]taylor: Taking taylor expansion of k in n 1540336145.871 * [misc]backup-simplify: Simplify k into k 1540336145.871 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of 2 in n 1540336145.871 * [misc]backup-simplify: Simplify 2 into 2 1540336145.871 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336145.871 * [misc]taylor: Taking taylor expansion of n in n 1540336145.871 * [misc]backup-simplify: Simplify 0 into 0 1540336145.871 * [misc]backup-simplify: Simplify 1 into 1 1540336145.871 * [misc]taylor: Taking taylor expansion of PI in n 1540336145.871 * [misc]backup-simplify: Simplify PI into PI 1540336145.871 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336145.871 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336145.872 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336145.873 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336145.873 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.873 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540336145.873 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336145.874 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540336145.874 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.875 * [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)))) 1540336145.875 * [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))))) 1540336145.876 * [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))) 1540336145.876 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1540336145.876 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540336145.876 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540336145.876 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540336145.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.876 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540336145.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336145.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336145.876 * [misc]taylor: Taking taylor expansion of k in k 1540336145.876 * [misc]backup-simplify: Simplify 0 into 0 1540336145.876 * [misc]backup-simplify: Simplify 1 into 1 1540336145.877 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540336145.877 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336145.877 * [misc]taylor: Taking taylor expansion of n in k 1540336145.877 * [misc]backup-simplify: Simplify n into n 1540336145.877 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336145.877 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336145.877 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336145.877 * [misc]taylor: Taking taylor expansion of 2 in k 1540336145.877 * [misc]backup-simplify: Simplify 2 into 2 1540336145.877 * [misc]taylor: Taking taylor expansion of PI in k 1540336145.877 * [misc]backup-simplify: Simplify PI into PI 1540336145.877 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336145.878 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336145.878 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540336145.878 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.878 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336145.878 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.879 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540336145.880 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540336145.880 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540336145.880 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336145.880 * [misc]taylor: Taking taylor expansion of k in k 1540336145.880 * [misc]backup-simplify: Simplify 0 into 0 1540336145.880 * [misc]backup-simplify: Simplify 1 into 1 1540336145.880 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336145.880 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336145.881 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540336145.881 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1540336145.881 * [misc]backup-simplify: Simplify 0 into 0 1540336145.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336145.883 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336145.886 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336145.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540336145.886 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.887 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.887 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.888 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540336145.890 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336145.890 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1540336145.890 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.890 * [misc]backup-simplify: Simplify 0 into 0 1540336145.891 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540336145.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336145.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336145.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.895 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540336145.895 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336145.895 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540336145.896 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540336145.897 * [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))))))) 1540336145.899 * [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))))))) 1540336145.900 * [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))))))) 1540336145.901 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.903 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336145.908 * [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 1540336145.909 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540336145.909 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.909 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.910 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.911 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540336145.913 * [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 1540336145.913 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336145.914 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1540336145.915 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1540336145.915 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.915 * [misc]backup-simplify: Simplify 0 into 0 1540336145.915 * [misc]backup-simplify: Simplify 0 into 0 1540336145.915 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540336145.917 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336145.918 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540336145.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336145.925 * [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 1540336145.925 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.925 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540336145.925 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.925 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.926 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540336145.929 * [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))))) 1540336145.933 * [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)))))))) 1540336145.936 * [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)))))))) 1540336145.938 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336145.940 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336145.949 * [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 1540336145.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540336145.949 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.950 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336145.951 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540336145.955 * [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 1540336145.955 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336145.955 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1540336145.956 * [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 1540336145.957 * [misc]taylor: Taking taylor expansion of 0 in k 1540336145.957 * [misc]backup-simplify: Simplify 0 into 0 1540336145.957 * [misc]backup-simplify: Simplify 0 into 0 1540336145.957 * [misc]backup-simplify: Simplify 0 into 0 1540336145.957 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336145.958 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540336145.961 * [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 1540336145.963 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336145.971 * [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 1540336145.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.972 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540336145.972 * [misc]backup-simplify: Simplify (- 0) into 0 1540336145.972 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336145.973 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540336145.978 * [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))))))) 1540336145.987 * [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)))))))))))))) 1540336145.995 * [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)))))))))))))) 1540336146.006 * [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)))))))))))))))))))))) 1540336146.007 * [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))))) 1540336146.007 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540336146.007 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540336146.007 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540336146.007 * [misc]taylor: Taking taylor expansion of k in k 1540336146.007 * [misc]backup-simplify: Simplify 0 into 0 1540336146.007 * [misc]backup-simplify: Simplify 1 into 1 1540336146.007 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336146.008 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540336146.008 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of k in k 1540336146.008 * [misc]backup-simplify: Simplify 0 into 0 1540336146.008 * [misc]backup-simplify: Simplify 1 into 1 1540336146.008 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336146.008 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of 2 in k 1540336146.008 * [misc]backup-simplify: Simplify 2 into 2 1540336146.008 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336146.008 * [misc]taylor: Taking taylor expansion of PI in k 1540336146.009 * [misc]backup-simplify: Simplify PI into PI 1540336146.009 * [misc]taylor: Taking taylor expansion of n in k 1540336146.009 * [misc]backup-simplify: Simplify n into n 1540336146.009 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336146.009 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540336146.009 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540336146.009 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336146.009 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336146.009 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540336146.009 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540336146.010 * [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)))) 1540336146.010 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of k in n 1540336146.010 * [misc]backup-simplify: Simplify k into k 1540336146.010 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540336146.010 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540336146.010 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of k in n 1540336146.010 * [misc]backup-simplify: Simplify k into k 1540336146.010 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336146.010 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of 2 in n 1540336146.010 * [misc]backup-simplify: Simplify 2 into 2 1540336146.010 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336146.010 * [misc]taylor: Taking taylor expansion of PI in n 1540336146.010 * [misc]backup-simplify: Simplify PI into PI 1540336146.011 * [misc]taylor: Taking taylor expansion of n in n 1540336146.011 * [misc]backup-simplify: Simplify 0 into 0 1540336146.011 * [misc]backup-simplify: Simplify 1 into 1 1540336146.011 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336146.011 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336146.012 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336146.012 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336146.012 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336146.012 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540336146.013 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336146.014 * [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))) 1540336146.014 * [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)))) 1540336146.014 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540336146.014 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of k in n 1540336146.015 * [misc]backup-simplify: Simplify k into k 1540336146.015 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540336146.015 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540336146.015 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of k in n 1540336146.015 * [misc]backup-simplify: Simplify k into k 1540336146.015 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336146.015 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of 2 in n 1540336146.015 * [misc]backup-simplify: Simplify 2 into 2 1540336146.015 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336146.015 * [misc]taylor: Taking taylor expansion of PI in n 1540336146.015 * [misc]backup-simplify: Simplify PI into PI 1540336146.015 * [misc]taylor: Taking taylor expansion of n in n 1540336146.015 * [misc]backup-simplify: Simplify 0 into 0 1540336146.015 * [misc]backup-simplify: Simplify 1 into 1 1540336146.015 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336146.016 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336146.016 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336146.016 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336146.016 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336146.016 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540336146.017 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336146.017 * [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))) 1540336146.017 * [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)))) 1540336146.018 * [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)) 1540336146.018 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.018 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of k in k 1540336146.018 * [misc]backup-simplify: Simplify 0 into 0 1540336146.018 * [misc]backup-simplify: Simplify 1 into 1 1540336146.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336146.018 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336146.018 * [misc]taylor: Taking taylor expansion of 2 in k 1540336146.018 * [misc]backup-simplify: Simplify 2 into 2 1540336146.018 * [misc]taylor: Taking taylor expansion of PI in k 1540336146.018 * [misc]backup-simplify: Simplify PI into PI 1540336146.018 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336146.019 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336146.019 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336146.019 * [misc]taylor: Taking taylor expansion of n in k 1540336146.019 * [misc]backup-simplify: Simplify n into n 1540336146.019 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336146.019 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336146.019 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336146.019 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540336146.019 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336146.019 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336146.020 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336146.020 * [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)))) 1540336146.020 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540336146.020 * [misc]taylor: Taking taylor expansion of k in k 1540336146.020 * [misc]backup-simplify: Simplify 0 into 0 1540336146.020 * [misc]backup-simplify: Simplify 1 into 1 1540336146.020 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336146.021 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540336146.021 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1540336146.021 * [misc]backup-simplify: Simplify 0 into 0 1540336146.022 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336146.022 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336146.024 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336146.024 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336146.024 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540336146.024 * [misc]backup-simplify: Simplify (- 0) into 0 1540336146.024 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336146.025 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336146.025 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540336146.026 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336146.027 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540336146.027 * [misc]taylor: Taking taylor expansion of 0 in k 1540336146.027 * [misc]backup-simplify: Simplify 0 into 0 1540336146.027 * [misc]backup-simplify: Simplify 0 into 0 1540336146.027 * [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)))))) 1540336146.028 * [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)))))) 1540336146.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336146.029 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336146.032 * [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 1540336146.032 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336146.033 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540336146.033 * [misc]backup-simplify: Simplify (- 0) into 0 1540336146.033 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336146.033 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336146.034 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540336146.035 * [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 1540336146.036 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1540336146.036 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540336146.036 * [misc]taylor: Taking taylor expansion of 0 in k 1540336146.036 * [misc]backup-simplify: Simplify 0 into 0 1540336146.036 * [misc]backup-simplify: Simplify 0 into 0 1540336146.036 * [misc]backup-simplify: Simplify 0 into 0 1540336146.037 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336146.037 * [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)))))) 1540336146.038 * [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)))))) 1540336146.039 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336146.040 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336146.045 * [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 1540336146.045 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336146.045 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540336146.045 * [misc]backup-simplify: Simplify (- 0) into 0 1540336146.045 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336146.046 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336146.046 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540336146.049 * [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 1540336146.049 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1540336146.050 * [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 1540336146.050 * [misc]taylor: Taking taylor expansion of 0 in k 1540336146.050 * [misc]backup-simplify: Simplify 0 into 0 1540336146.050 * [misc]backup-simplify: Simplify 0 into 0 1540336146.050 * [misc]backup-simplify: Simplify 0 into 0 1540336146.050 * [misc]backup-simplify: Simplify 0 into 0 1540336146.050 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540336146.051 * [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)))))) 1540336146.051 * [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)))))) 1540336146.053 * [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)))))))) 1540336146.053 * [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))) 1540336146.053 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1540336146.053 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540336146.053 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540336146.053 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540336146.053 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540336146.053 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540336146.053 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336146.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336146.053 * [misc]taylor: Taking taylor expansion of k in k 1540336146.053 * [misc]backup-simplify: Simplify 0 into 0 1540336146.053 * [misc]backup-simplify: Simplify 1 into 1 1540336146.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336146.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.054 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540336146.054 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540336146.054 * [misc]taylor: Taking taylor expansion of -2 in k 1540336146.054 * [misc]backup-simplify: Simplify -2 into -2 1540336146.054 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336146.054 * [misc]taylor: Taking taylor expansion of PI in k 1540336146.054 * [misc]backup-simplify: Simplify PI into PI 1540336146.054 * [misc]taylor: Taking taylor expansion of n in k 1540336146.054 * [misc]backup-simplify: Simplify n into n 1540336146.054 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336146.054 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540336146.054 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540336146.054 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336146.054 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336146.054 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540336146.054 * [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))) 1540336146.054 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336146.054 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336146.054 * [misc]taylor: Taking taylor expansion of -1 in k 1540336146.054 * [misc]backup-simplify: Simplify -1 into -1 1540336146.054 * [misc]taylor: Taking taylor expansion of k in k 1540336146.054 * [misc]backup-simplify: Simplify 0 into 0 1540336146.054 * [misc]backup-simplify: Simplify 1 into 1 1540336146.054 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336146.055 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336146.055 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336146.055 * [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)))) 1540336146.055 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.055 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of k in n 1540336146.055 * [misc]backup-simplify: Simplify k into k 1540336146.055 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336146.055 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.055 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336146.055 * [misc]taylor: Taking taylor expansion of -2 in n 1540336146.055 * [misc]backup-simplify: Simplify -2 into -2 1540336146.055 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336146.056 * [misc]taylor: Taking taylor expansion of PI in n 1540336146.056 * [misc]backup-simplify: Simplify PI into PI 1540336146.056 * [misc]taylor: Taking taylor expansion of n in n 1540336146.056 * [misc]backup-simplify: Simplify 0 into 0 1540336146.056 * [misc]backup-simplify: Simplify 1 into 1 1540336146.056 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336146.056 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336146.056 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336146.056 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336146.056 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540336146.057 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336146.057 * [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))) 1540336146.058 * [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)))) 1540336146.058 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336146.058 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336146.058 * [misc]taylor: Taking taylor expansion of -1 in n 1540336146.058 * [misc]backup-simplify: Simplify -1 into -1 1540336146.058 * [misc]taylor: Taking taylor expansion of k in n 1540336146.058 * [misc]backup-simplify: Simplify k into k 1540336146.058 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336146.058 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336146.058 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336146.058 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336146.058 * [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))) 1540336146.058 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of k in n 1540336146.059 * [misc]backup-simplify: Simplify k into k 1540336146.059 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336146.059 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336146.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.059 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of -2 in n 1540336146.059 * [misc]backup-simplify: Simplify -2 into -2 1540336146.059 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336146.059 * [misc]taylor: Taking taylor expansion of PI in n 1540336146.059 * [misc]backup-simplify: Simplify PI into PI 1540336146.059 * [misc]taylor: Taking taylor expansion of n in n 1540336146.059 * [misc]backup-simplify: Simplify 0 into 0 1540336146.059 * [misc]backup-simplify: Simplify 1 into 1 1540336146.059 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336146.059 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336146.060 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336146.060 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336146.060 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540336146.060 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336146.060 * [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))) 1540336146.061 * [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)))) 1540336146.061 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336146.061 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336146.061 * [misc]taylor: Taking taylor expansion of -1 in n 1540336146.061 * [misc]backup-simplify: Simplify -1 into -1 1540336146.061 * [misc]taylor: Taking taylor expansion of k in n 1540336146.061 * [misc]backup-simplify: Simplify k into k 1540336146.061 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336146.061 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336146.061 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336146.061 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336146.062 * [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))) 1540336146.062 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of k in k 1540336146.062 * [misc]backup-simplify: Simplify 0 into 0 1540336146.062 * [misc]backup-simplify: Simplify 1 into 1 1540336146.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336146.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336146.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336146.062 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540336146.062 * [misc]taylor: Taking taylor expansion of -2 in k 1540336146.062 * [misc]backup-simplify: Simplify -2 into -2 1540336146.062 * [misc]taylor: Taking taylor expansion of PI in k 1540336146.062 * [misc]backup-simplify: Simplify PI into PI 1540336146.062 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336146.063 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336146.063 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336146.063 * [misc]taylor: Taking taylor expansion of n in k 1540336146.063 * [misc]backup-simplify: Simplify n into n 1540336146.063 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336146.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336146.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540336146.063 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336146.063 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540336146.064 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540336146.064 * [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)))) 1540336146.064 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336146.064 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336146.065 * [misc]taylor: Taking taylor expansion of -1 in k 1540336146.065 * [misc]backup-simplify: Simplify -1 into -1 1540336146.065 * [misc]taylor: Taking taylor expansion of k in k 1540336146.065 * [misc]backup-simplify: Simplify 0 into 0 1540336146.065 * [misc]backup-simplify: Simplify 1 into 1 1540336146.065 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336146.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336146.065 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336146.065 * [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))))) 1540336146.066 * [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))))) 1540336146.067 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336146.067 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336146.069 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540336146.069 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336146.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540336146.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336146.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336146.070 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540336146.071 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336146.071 * [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 1540336146.071 * [misc]taylor: Taking taylor expansion of 0 in k 1540336146.071 * [misc]backup-simplify: Simplify 0 into 0 1540336146.071 * [misc]backup-simplify: Simplify 0 into 0 1540336146.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540336146.072 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336146.073 * [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)))))) 1540336146.073 * [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)))))) 1540336146.074 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336146.075 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336146.078 * [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 1540336146.078 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336146.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540336146.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336146.079 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336146.079 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540336146.081 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540336146.081 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336146.082 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540336146.082 * [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 1540336146.082 * [misc]taylor: Taking taylor expansion of 0 in k 1540336146.082 * [misc]backup-simplify: Simplify 0 into 0 1540336146.082 * [misc]backup-simplify: Simplify 0 into 0 1540336146.082 * [misc]backup-simplify: Simplify 0 into 0 1540336146.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336146.083 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540336146.084 * [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)))))) 1540336146.085 * [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)))))) 1540336146.086 * [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))))))))))) 1540336146.086 * * * [misc]progress: simplifying candidates 1540336146.087 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1540336146.087 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540336146.087 * * [misc]simplify: iters left: 6 (11 enodes) 1540336146.089 * * [misc]simplify: iters left: 5 (21 enodes) 1540336146.092 * * [misc]simplify: iters left: 4 (47 enodes) 1540336146.102 * * [misc]simplify: iters left: 3 (109 enodes) 1540336146.131 * * [misc]simplify: iters left: 2 (300 enodes) 1540336146.354 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540336146.354 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1540336146.355 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1540336146.355 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1540336146.355 * [enter]simplify: Simplifying (* PI (* n 2)) 1540336146.355 * * [misc]simplify: iters left: 4 (5 enodes) 1540336146.357 * * [misc]simplify: iters left: 3 (9 enodes) 1540336146.359 * * [misc]simplify: iters left: 2 (15 enodes) 1540336146.364 * * [misc]simplify: iters left: 1 (17 enodes) 1540336146.368 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540336146.368 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1540336146.368 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1540336146.368 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540336146.369 * * [misc]simplify: iters left: 5 (8 enodes) 1540336146.371 * * [misc]simplify: iters left: 4 (12 enodes) 1540336146.375 * * [misc]simplify: iters left: 3 (18 enodes) 1540336146.380 * * [misc]simplify: iters left: 2 (20 enodes) 1540336146.385 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540336146.385 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1540336146.385 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1540336146.385 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540336146.385 * * [misc]simplify: iters left: 5 (6 enodes) 1540336146.387 * * [misc]simplify: iters left: 4 (8 enodes) 1540336146.389 * * [misc]simplify: iters left: 3 (11 enodes) 1540336146.392 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540336146.392 * [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))) 1540336146.393 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1540336146.396 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540336146.396 * * [misc]simplify: iters left: 5 (6 enodes) 1540336146.398 * * [misc]simplify: iters left: 4 (8 enodes) 1540336146.400 * * [misc]simplify: iters left: 3 (11 enodes) 1540336146.403 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540336146.403 * [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))) 1540336146.403 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1540336146.403 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540336146.404 * * [misc]simplify: iters left: 4 (5 enodes) 1540336146.405 * * [misc]simplify: iters left: 3 (7 enodes) 1540336146.407 * * [misc]simplify: iters left: 2 (10 enodes) 1540336146.410 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540336146.410 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1540336146.410 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1540336146.410 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540336146.410 * * [misc]simplify: iters left: 5 (9 enodes) 1540336146.413 * * [misc]simplify: iters left: 4 (15 enodes) 1540336146.417 * * [misc]simplify: iters left: 3 (21 enodes) 1540336146.423 * * [misc]simplify: iters left: 2 (22 enodes) 1540336146.428 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540336146.428 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540336146.428 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1540336146.429 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540336146.429 * * [misc]simplify: iters left: 5 (9 enodes) 1540336146.432 * * [misc]simplify: iters left: 4 (15 enodes) 1540336146.436 * * [misc]simplify: iters left: 3 (21 enodes) 1540336146.441 * * [misc]simplify: iters left: 2 (22 enodes) 1540336146.447 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540336146.447 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540336146.447 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1540336146.447 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540336146.447 * * [misc]simplify: iters left: 5 (7 enodes) 1540336146.449 * * [misc]simplify: iters left: 4 (9 enodes) 1540336146.452 * * [misc]simplify: iters left: 3 (12 enodes) 1540336146.455 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540336146.455 * [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))) 1540336146.455 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1540336146.455 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1540336146.455 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1540336146.455 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1540336146.455 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1540336146.456 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1540336146.457 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540336146.457 * * [misc]simplify: iters left: 6 (14 enodes) 1540336146.461 * * [misc]simplify: iters left: 5 (26 enodes) 1540336146.469 * * [misc]simplify: iters left: 4 (53 enodes) 1540336146.483 * * [misc]simplify: iters left: 3 (137 enodes) 1540336146.546 * * [misc]simplify: iters left: 2 (487 enodes) 1540336147.275 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1540336147.275 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1540336147.275 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1540336147.275 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540336147.276 * * [misc]simplify: iters left: 6 (14 enodes) 1540336147.280 * * [misc]simplify: iters left: 5 (26 enodes) 1540336147.289 * * [misc]simplify: iters left: 4 (53 enodes) 1540336147.305 * * [misc]simplify: iters left: 3 (137 enodes) 1540336147.374 * * [misc]simplify: iters left: 2 (487 enodes) 1540336147.948 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1540336147.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1540336147.949 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1540336147.949 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1540336147.949 * * [misc]simplify: iters left: 6 (14 enodes) 1540336147.958 * * [misc]simplify: iters left: 5 (24 enodes) 1540336147.966 * * [misc]simplify: iters left: 4 (42 enodes) 1540336147.978 * * [misc]simplify: iters left: 3 (71 enodes) 1540336147.994 * * [misc]simplify: iters left: 2 (208 enodes) 1540336148.167 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1540336148.167 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1540336148.167 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1540336148.167 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1540336148.167 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1540336148.167 * [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))) 1540336148.167 * * [misc]simplify: iters left: 6 (16 enodes) 1540336148.170 * * [misc]simplify: iters left: 5 (31 enodes) 1540336148.175 * * [misc]simplify: iters left: 4 (67 enodes) 1540336148.186 * * [misc]simplify: iters left: 3 (124 enodes) 1540336148.217 * * [misc]simplify: iters left: 2 (195 enodes) 1540336148.294 * * [misc]simplify: iters left: 1 (309 enodes) 1540336148.434 * [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)))) 1540336148.434 * [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)))))) 1540336148.434 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1540336148.434 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1540336148.434 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1540336148.434 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1540336148.435 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1540336148.435 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.435 * * [misc]simplify: iters left: 6 (12 enodes) 1540336148.438 * * [misc]simplify: iters left: 5 (19 enodes) 1540336148.443 * * [misc]simplify: iters left: 4 (25 enodes) 1540336148.450 * * [misc]simplify: iters left: 3 (26 enodes) 1540336148.456 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.456 * [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))))) 1540336148.457 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540336148.457 * * [misc]simplify: iters left: 6 (12 enodes) 1540336148.460 * * [misc]simplify: iters left: 5 (18 enodes) 1540336148.465 * * [misc]simplify: iters left: 4 (24 enodes) 1540336148.474 * * [misc]simplify: iters left: 3 (25 enodes) 1540336148.480 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540336148.480 * [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))))) 1540336148.480 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1540336148.480 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540336148.480 * * [misc]simplify: iters left: 6 (11 enodes) 1540336148.484 * * [misc]simplify: iters left: 5 (16 enodes) 1540336148.488 * * [misc]simplify: iters left: 4 (22 enodes) 1540336148.494 * * [misc]simplify: iters left: 3 (24 enodes) 1540336148.497 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540336148.497 * [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))))) 1540336148.498 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540336148.498 * * [misc]simplify: iters left: 6 (12 enodes) 1540336148.499 * * [misc]simplify: iters left: 5 (18 enodes) 1540336148.502 * * [misc]simplify: iters left: 4 (24 enodes) 1540336148.505 * * [misc]simplify: iters left: 3 (25 enodes) 1540336148.508 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540336148.508 * [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))))) 1540336148.508 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1540336148.508 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540336148.508 * * [misc]simplify: iters left: 6 (9 enodes) 1540336148.510 * * [misc]simplify: iters left: 5 (16 enodes) 1540336148.512 * * [misc]simplify: iters left: 4 (24 enodes) 1540336148.515 * * [misc]simplify: iters left: 3 (26 enodes) 1540336148.520 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540336148.520 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540336148.520 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540336148.521 * * [misc]simplify: iters left: 6 (11 enodes) 1540336148.524 * * [misc]simplify: iters left: 5 (17 enodes) 1540336148.529 * * [misc]simplify: iters left: 4 (23 enodes) 1540336148.535 * * [misc]simplify: iters left: 3 (24 enodes) 1540336148.541 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540336148.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540336148.541 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1540336148.541 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.542 * * [misc]simplify: iters left: 6 (12 enodes) 1540336148.545 * * [misc]simplify: iters left: 5 (19 enodes) 1540336148.550 * * [misc]simplify: iters left: 4 (25 enodes) 1540336148.554 * * [misc]simplify: iters left: 3 (26 enodes) 1540336148.557 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.557 * [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))))) 1540336148.557 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540336148.557 * * [misc]simplify: iters left: 6 (12 enodes) 1540336148.559 * * [misc]simplify: iters left: 5 (18 enodes) 1540336148.562 * * [misc]simplify: iters left: 4 (24 enodes) 1540336148.565 * * [misc]simplify: iters left: 3 (25 enodes) 1540336148.567 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540336148.568 * [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))))) 1540336148.568 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1540336148.568 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540336148.568 * * [misc]simplify: iters left: 6 (11 enodes) 1540336148.569 * * [misc]simplify: iters left: 5 (16 enodes) 1540336148.572 * * [misc]simplify: iters left: 4 (22 enodes) 1540336148.574 * * [misc]simplify: iters left: 3 (24 enodes) 1540336148.578 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540336148.579 * [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))))) 1540336148.579 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540336148.579 * * [misc]simplify: iters left: 6 (12 enodes) 1540336148.582 * * [misc]simplify: iters left: 5 (18 enodes) 1540336148.587 * * [misc]simplify: iters left: 4 (24 enodes) 1540336148.594 * * [misc]simplify: iters left: 3 (25 enodes) 1540336148.600 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540336148.600 * [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))))) 1540336148.600 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1540336148.600 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540336148.600 * * [misc]simplify: iters left: 6 (9 enodes) 1540336148.603 * * [misc]simplify: iters left: 5 (16 enodes) 1540336148.608 * * [misc]simplify: iters left: 4 (24 enodes) 1540336148.613 * * [misc]simplify: iters left: 3 (26 enodes) 1540336148.618 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540336148.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540336148.618 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540336148.618 * * [misc]simplify: iters left: 6 (11 enodes) 1540336148.620 * * [misc]simplify: iters left: 5 (17 enodes) 1540336148.623 * * [misc]simplify: iters left: 4 (23 enodes) 1540336148.626 * * [misc]simplify: iters left: 3 (24 enodes) 1540336148.629 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540336148.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540336148.629 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1540336148.629 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.629 * * [misc]simplify: iters left: 6 (11 enodes) 1540336148.631 * * [misc]simplify: iters left: 5 (15 enodes) 1540336148.633 * * [misc]simplify: iters left: 4 (18 enodes) 1540336148.636 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.636 * [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))))) 1540336148.636 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540336148.636 * * [misc]simplify: iters left: 6 (11 enodes) 1540336148.638 * * [misc]simplify: iters left: 5 (14 enodes) 1540336148.640 * * [misc]simplify: iters left: 4 (17 enodes) 1540336148.642 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540336148.642 * [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))))) 1540336148.642 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1540336148.642 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540336148.642 * * [misc]simplify: iters left: 6 (10 enodes) 1540336148.644 * * [misc]simplify: iters left: 5 (12 enodes) 1540336148.645 * * [misc]simplify: iters left: 4 (15 enodes) 1540336148.648 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540336148.648 * [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))))) 1540336148.648 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540336148.648 * * [misc]simplify: iters left: 6 (11 enodes) 1540336148.650 * * [misc]simplify: iters left: 5 (14 enodes) 1540336148.652 * * [misc]simplify: iters left: 4 (17 enodes) 1540336148.654 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540336148.654 * [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))))) 1540336148.654 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1540336148.654 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1540336148.654 * * [misc]simplify: iters left: 6 (9 enodes) 1540336148.655 * * [misc]simplify: iters left: 5 (13 enodes) 1540336148.657 * * [misc]simplify: iters left: 4 (18 enodes) 1540336148.659 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540336148.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540336148.660 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540336148.660 * * [misc]simplify: iters left: 6 (10 enodes) 1540336148.661 * * [misc]simplify: iters left: 5 (13 enodes) 1540336148.663 * * [misc]simplify: iters left: 4 (16 enodes) 1540336148.665 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540336148.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540336148.665 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1540336148.665 * [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)))) 1540336148.665 * * [misc]simplify: iters left: 6 (16 enodes) 1540336148.668 * * [misc]simplify: iters left: 5 (28 enodes) 1540336148.672 * * [misc]simplify: iters left: 4 (46 enodes) 1540336148.682 * * [misc]simplify: iters left: 3 (50 enodes) 1540336148.694 * * [misc]simplify: iters left: 2 (53 enodes) 1540336148.707 * [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)))) 1540336148.707 * [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))))) 1540336148.707 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540336148.708 * * [misc]simplify: iters left: 6 (14 enodes) 1540336148.712 * * [misc]simplify: iters left: 5 (20 enodes) 1540336148.717 * * [misc]simplify: iters left: 4 (29 enodes) 1540336148.725 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.732 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540336148.732 * [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))))) 1540336148.732 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1540336148.733 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540336148.733 * * [misc]simplify: iters left: 6 (15 enodes) 1540336148.737 * * [misc]simplify: iters left: 5 (23 enodes) 1540336148.744 * * [misc]simplify: iters left: 4 (34 enodes) 1540336148.754 * * [misc]simplify: iters left: 3 (37 enodes) 1540336148.763 * [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)))))) 1540336148.763 * [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))))) 1540336148.763 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540336148.763 * * [misc]simplify: iters left: 6 (14 enodes) 1540336148.767 * * [misc]simplify: iters left: 5 (20 enodes) 1540336148.773 * * [misc]simplify: iters left: 4 (29 enodes) 1540336148.781 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.788 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540336148.788 * [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))))) 1540336148.788 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1540336148.788 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1540336148.789 * * [misc]simplify: iters left: 6 (14 enodes) 1540336148.793 * * [misc]simplify: iters left: 5 (24 enodes) 1540336148.801 * * [misc]simplify: iters left: 4 (39 enodes) 1540336148.811 * * [misc]simplify: iters left: 3 (54 enodes) 1540336148.826 * * [misc]simplify: iters left: 2 (80 enodes) 1540336148.844 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1540336148.845 * [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)))) 1540336148.845 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540336148.845 * * [misc]simplify: iters left: 6 (13 enodes) 1540336148.847 * * [misc]simplify: iters left: 5 (19 enodes) 1540336148.849 * * [misc]simplify: iters left: 4 (28 enodes) 1540336148.853 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.856 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540336148.856 * [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)))) 1540336148.857 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1540336148.857 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.857 * * [misc]simplify: iters left: 6 (15 enodes) 1540336148.859 * * [misc]simplify: iters left: 5 (23 enodes) 1540336148.862 * * [misc]simplify: iters left: 4 (32 enodes) 1540336148.867 * * [misc]simplify: iters left: 3 (34 enodes) 1540336148.873 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.873 * [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))))) 1540336148.873 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540336148.873 * * [misc]simplify: iters left: 6 (14 enodes) 1540336148.875 * * [misc]simplify: iters left: 5 (20 enodes) 1540336148.878 * * [misc]simplify: iters left: 4 (29 enodes) 1540336148.882 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.885 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540336148.885 * [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))))) 1540336148.886 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1540336148.886 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540336148.886 * * [misc]simplify: iters left: 6 (14 enodes) 1540336148.888 * * [misc]simplify: iters left: 5 (20 enodes) 1540336148.890 * * [misc]simplify: iters left: 4 (29 enodes) 1540336148.894 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.898 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540336148.898 * [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))))) 1540336148.898 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540336148.898 * * [misc]simplify: iters left: 6 (14 enodes) 1540336148.900 * * [misc]simplify: iters left: 5 (20 enodes) 1540336148.903 * * [misc]simplify: iters left: 4 (29 enodes) 1540336148.908 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.915 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540336148.915 * [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))))) 1540336148.915 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1540336148.915 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1540336148.916 * * [misc]simplify: iters left: 6 (13 enodes) 1540336148.919 * * [misc]simplify: iters left: 5 (21 enodes) 1540336148.925 * * [misc]simplify: iters left: 4 (32 enodes) 1540336148.928 * * [misc]simplify: iters left: 3 (33 enodes) 1540336148.932 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1540336148.932 * [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)))) 1540336148.932 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540336148.932 * * [misc]simplify: iters left: 6 (13 enodes) 1540336148.934 * * [misc]simplify: iters left: 5 (19 enodes) 1540336148.937 * * [misc]simplify: iters left: 4 (28 enodes) 1540336148.940 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.944 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540336148.944 * [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)))) 1540336148.944 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1540336148.945 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336148.945 * * [misc]simplify: iters left: 6 (6 enodes) 1540336148.947 * * [misc]simplify: iters left: 5 (10 enodes) 1540336148.949 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540336148.949 * [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))))) 1540336148.950 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540336148.950 * * [misc]simplify: iters left: 6 (13 enodes) 1540336148.954 * * [misc]simplify: iters left: 5 (19 enodes) 1540336148.960 * * [misc]simplify: iters left: 4 (28 enodes) 1540336148.967 * * [misc]simplify: iters left: 3 (30 enodes) 1540336148.975 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540336148.975 * [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))))) 1540336148.975 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1540336148.975 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540336148.975 * * [misc]simplify: iters left: 4 (5 enodes) 1540336148.977 * * [misc]simplify: iters left: 3 (7 enodes) 1540336148.978 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540336148.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540336148.979 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540336148.979 * * [misc]simplify: iters left: 6 (13 enodes) 1540336148.983 * * [misc]simplify: iters left: 5 (19 enodes) 1540336148.989 * * [misc]simplify: iters left: 4 (28 enodes) 1540336148.996 * * [misc]simplify: iters left: 3 (30 enodes) 1540336149.003 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540336149.003 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540336149.003 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1540336149.004 * [enter]simplify: Simplifying (/ 1 1) 1540336149.004 * * [misc]simplify: iters left: 2 (2 enodes) 1540336149.005 * * [misc]simplify: iters left: 1 (4 enodes) 1540336149.005 * [exit]simplify: Simplified to 1 1540336149.005 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1540336149.006 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540336149.006 * * [misc]simplify: iters left: 6 (12 enodes) 1540336149.009 * * [misc]simplify: iters left: 5 (18 enodes) 1540336149.014 * * [misc]simplify: iters left: 4 (27 enodes) 1540336149.021 * * [misc]simplify: iters left: 3 (29 enodes) 1540336149.028 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1540336149.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1540336149.029 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1540336149.029 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1540336149.029 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1540336149.029 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1540336149.029 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540336149.029 * * [misc]simplify: iters left: 2 (3 enodes) 1540336149.030 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540336149.030 * [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)))) 1540336149.030 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1540336149.030 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540336149.030 * * [misc]simplify: iters left: 2 (3 enodes) 1540336149.031 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540336149.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540336149.031 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1540336149.032 * [enter]simplify: Simplifying (sqrt k) 1540336149.032 * * [misc]simplify: iters left: 1 (2 enodes) 1540336149.032 * [exit]simplify: Simplified to (sqrt k) 1540336149.032 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1540336149.032 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1540336149.033 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540336149.033 * * [misc]simplify: iters left: 5 (7 enodes) 1540336149.036 * * [misc]simplify: iters left: 4 (12 enodes) 1540336149.039 * * [misc]simplify: iters left: 3 (18 enodes) 1540336149.044 * * [misc]simplify: iters left: 2 (20 enodes) 1540336149.049 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540336149.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336149.049 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1540336149.049 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540336149.049 * * [misc]simplify: iters left: 5 (7 enodes) 1540336149.051 * * [misc]simplify: iters left: 4 (12 enodes) 1540336149.055 * * [misc]simplify: iters left: 3 (18 enodes) 1540336149.060 * * [misc]simplify: iters left: 2 (20 enodes) 1540336149.064 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540336149.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336149.065 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1540336149.065 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540336149.065 * * [misc]simplify: iters left: 5 (7 enodes) 1540336149.067 * * [misc]simplify: iters left: 4 (9 enodes) 1540336149.070 * * [misc]simplify: iters left: 3 (12 enodes) 1540336149.073 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540336149.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540336149.073 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1540336149.073 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540336149.073 * * [misc]simplify: iters left: 6 (12 enodes) 1540336149.077 * * [misc]simplify: iters left: 5 (18 enodes) 1540336149.083 * * [misc]simplify: iters left: 4 (27 enodes) 1540336149.090 * * [misc]simplify: iters left: 3 (29 enodes) 1540336149.094 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540336149.094 * [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))))))) 1540336149.094 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1540336149.094 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540336149.094 * * [misc]simplify: iters left: 6 (11 enodes) 1540336149.096 * * [misc]simplify: iters left: 5 (17 enodes) 1540336149.098 * * [misc]simplify: iters left: 4 (26 enodes) 1540336149.102 * * [misc]simplify: iters left: 3 (27 enodes) 1540336149.105 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540336149.105 * [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))))))) 1540336149.105 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1540336149.105 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1540336149.105 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540336149.105 * * [misc]simplify: iters left: 5 (7 enodes) 1540336149.106 * * [misc]simplify: iters left: 4 (12 enodes) 1540336149.108 * * [misc]simplify: iters left: 3 (18 enodes) 1540336149.110 * * [misc]simplify: iters left: 2 (20 enodes) 1540336149.113 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540336149.113 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1540336149.113 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1540336149.113 * [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))))) 1540336149.113 * * [misc]simplify: iters left: 6 (37 enodes) 1540336149.120 * * [misc]simplify: iters left: 5 (105 enodes) 1540336149.143 * * [misc]simplify: iters left: 4 (339 enodes) 1540336149.421 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1540336149.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1540336149.422 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1540336149.422 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540336149.422 * * [misc]simplify: iters left: 6 (15 enodes) 1540336149.428 * * [misc]simplify: iters left: 5 (33 enodes) 1540336149.433 * * [misc]simplify: iters left: 4 (64 enodes) 1540336149.445 * * [misc]simplify: iters left: 3 (171 enodes) 1540336149.526 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1540336149.526 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1540336149.526 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1540336149.526 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540336149.526 * * [misc]simplify: iters left: 6 (15 enodes) 1540336149.530 * * [misc]simplify: iters left: 5 (30 enodes) 1540336149.535 * * [misc]simplify: iters left: 4 (65 enodes) 1540336149.549 * * [misc]simplify: iters left: 3 (200 enodes) 1540336149.631 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1540336149.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1540336149.631 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1540336149.632 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336149.632 * * [misc]simplify: iters left: 4 (5 enodes) 1540336149.633 * * [misc]simplify: iters left: 3 (9 enodes) 1540336149.636 * * [misc]simplify: iters left: 2 (15 enodes) 1540336149.640 * * [misc]simplify: iters left: 1 (17 enodes) 1540336149.644 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336149.644 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540336149.644 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1540336149.645 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336149.645 * * [misc]simplify: iters left: 4 (5 enodes) 1540336149.646 * * [misc]simplify: iters left: 3 (9 enodes) 1540336149.649 * * [misc]simplify: iters left: 2 (15 enodes) 1540336149.653 * * [misc]simplify: iters left: 1 (17 enodes) 1540336149.656 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336149.656 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540336149.656 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1540336149.657 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336149.657 * * [misc]simplify: iters left: 4 (5 enodes) 1540336149.657 * * [misc]simplify: iters left: 3 (9 enodes) 1540336149.659 * * [misc]simplify: iters left: 2 (15 enodes) 1540336149.661 * * [misc]simplify: iters left: 1 (17 enodes) 1540336149.663 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336149.663 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540336149.663 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1540336149.663 * [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)))))))))))))))))))))) 1540336149.663 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540336149.663 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1540336149.663 * [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)))))))) 1540336149.663 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540336149.663 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1540336149.663 * [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))))))))))) 1540336149.663 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540336149.663 * * * [misc]progress: adding candidates to table 1540336150.532 * * [misc]progress: iteration 2 / 4 1540336150.532 * * * [misc]progress: picking best candidate 1540336150.590 * * * * [misc]pick: Picked # 1540336150.590 * * * [misc]progress: localizing error 1540336150.644 * * * [misc]progress: generating rewritten candidates 1540336150.644 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1540336150.649 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1540336150.653 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540336150.676 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1540336150.678 * * * [misc]progress: generating series expansions 1540336150.678 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1540336150.678 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540336150.678 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540336150.678 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336150.679 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.679 * [misc]backup-simplify: Simplify 2 into 2 1540336150.679 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.679 * [misc]taylor: Taking taylor expansion of n in n 1540336150.679 * [misc]backup-simplify: Simplify 0 into 0 1540336150.679 * [misc]backup-simplify: Simplify 1 into 1 1540336150.679 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.679 * [misc]backup-simplify: Simplify PI into PI 1540336150.679 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336150.679 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.679 * [misc]backup-simplify: Simplify 2 into 2 1540336150.679 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.679 * [misc]taylor: Taking taylor expansion of n in n 1540336150.679 * [misc]backup-simplify: Simplify 0 into 0 1540336150.679 * [misc]backup-simplify: Simplify 1 into 1 1540336150.679 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.679 * [misc]backup-simplify: Simplify PI into PI 1540336150.680 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336150.680 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336150.680 * [misc]backup-simplify: Simplify 0 into 0 1540336150.680 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336150.681 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336150.681 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.682 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336150.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336150.683 * [misc]backup-simplify: Simplify 0 into 0 1540336150.685 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.686 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336150.687 * [misc]backup-simplify: Simplify 0 into 0 1540336150.689 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336150.691 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336150.691 * [misc]backup-simplify: Simplify 0 into 0 1540336150.693 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336150.696 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540336150.696 * [misc]backup-simplify: Simplify 0 into 0 1540336150.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336150.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540336150.701 * [misc]backup-simplify: Simplify 0 into 0 1540336150.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540336150.707 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540336150.707 * [misc]backup-simplify: Simplify 0 into 0 1540336150.707 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540336150.707 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540336150.707 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540336150.707 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336150.707 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.707 * [misc]backup-simplify: Simplify 2 into 2 1540336150.707 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.707 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.707 * [misc]backup-simplify: Simplify PI into PI 1540336150.707 * [misc]taylor: Taking taylor expansion of n in n 1540336150.707 * [misc]backup-simplify: Simplify 0 into 0 1540336150.707 * [misc]backup-simplify: Simplify 1 into 1 1540336150.707 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.707 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336150.707 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.707 * [misc]backup-simplify: Simplify 2 into 2 1540336150.707 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.707 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.707 * [misc]backup-simplify: Simplify PI into PI 1540336150.707 * [misc]taylor: Taking taylor expansion of n in n 1540336150.707 * [misc]backup-simplify: Simplify 0 into 0 1540336150.707 * [misc]backup-simplify: Simplify 1 into 1 1540336150.708 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.708 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.708 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336150.709 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336150.709 * [misc]backup-simplify: Simplify 0 into 0 1540336150.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336150.711 * [misc]backup-simplify: Simplify 0 into 0 1540336150.712 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.713 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.713 * [misc]backup-simplify: Simplify 0 into 0 1540336150.714 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.715 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336150.715 * [misc]backup-simplify: Simplify 0 into 0 1540336150.716 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.718 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336150.718 * [misc]backup-simplify: Simplify 0 into 0 1540336150.720 * [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 1540336150.722 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336150.722 * [misc]backup-simplify: Simplify 0 into 0 1540336150.722 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540336150.722 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540336150.722 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540336150.722 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336150.722 * [misc]taylor: Taking taylor expansion of -2 in n 1540336150.722 * [misc]backup-simplify: Simplify -2 into -2 1540336150.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.722 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.722 * [misc]backup-simplify: Simplify PI into PI 1540336150.722 * [misc]taylor: Taking taylor expansion of n in n 1540336150.722 * [misc]backup-simplify: Simplify 0 into 0 1540336150.722 * [misc]backup-simplify: Simplify 1 into 1 1540336150.722 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.722 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336150.722 * [misc]taylor: Taking taylor expansion of -2 in n 1540336150.722 * [misc]backup-simplify: Simplify -2 into -2 1540336150.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.722 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.722 * [misc]backup-simplify: Simplify PI into PI 1540336150.722 * [misc]taylor: Taking taylor expansion of n in n 1540336150.722 * [misc]backup-simplify: Simplify 0 into 0 1540336150.722 * [misc]backup-simplify: Simplify 1 into 1 1540336150.722 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.723 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336150.723 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336150.724 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336150.724 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336150.724 * [misc]backup-simplify: Simplify 0 into 0 1540336150.725 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.725 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336150.726 * [misc]backup-simplify: Simplify 0 into 0 1540336150.727 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.727 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.727 * [misc]backup-simplify: Simplify 0 into 0 1540336150.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.730 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336150.730 * [misc]backup-simplify: Simplify 0 into 0 1540336150.731 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.733 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336150.733 * [misc]backup-simplify: Simplify 0 into 0 1540336150.734 * [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 1540336150.737 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336150.737 * [misc]backup-simplify: Simplify 0 into 0 1540336150.737 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540336150.737 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1540336150.737 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1540336150.737 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540336150.737 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336150.737 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.737 * [misc]backup-simplify: Simplify 2 into 2 1540336150.737 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.737 * [misc]taylor: Taking taylor expansion of n in n 1540336150.737 * [misc]backup-simplify: Simplify 0 into 0 1540336150.737 * [misc]backup-simplify: Simplify 1 into 1 1540336150.737 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.737 * [misc]backup-simplify: Simplify PI into PI 1540336150.737 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336150.737 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.737 * [misc]backup-simplify: Simplify 2 into 2 1540336150.737 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.737 * [misc]taylor: Taking taylor expansion of n in n 1540336150.737 * [misc]backup-simplify: Simplify 0 into 0 1540336150.737 * [misc]backup-simplify: Simplify 1 into 1 1540336150.737 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.737 * [misc]backup-simplify: Simplify PI into PI 1540336150.738 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336150.738 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336150.738 * [misc]backup-simplify: Simplify 0 into 0 1540336150.738 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336150.739 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336150.739 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.740 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336150.740 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336150.740 * [misc]backup-simplify: Simplify 0 into 0 1540336150.741 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.742 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336150.742 * [misc]backup-simplify: Simplify 0 into 0 1540336150.744 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336150.745 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336150.745 * [misc]backup-simplify: Simplify 0 into 0 1540336150.746 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336150.748 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540336150.748 * [misc]backup-simplify: Simplify 0 into 0 1540336150.753 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336150.757 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540336150.757 * [misc]backup-simplify: Simplify 0 into 0 1540336150.761 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540336150.765 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540336150.765 * [misc]backup-simplify: Simplify 0 into 0 1540336150.766 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540336150.766 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1540336150.766 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540336150.766 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336150.766 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.766 * [misc]backup-simplify: Simplify 2 into 2 1540336150.766 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.766 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.766 * [misc]backup-simplify: Simplify PI into PI 1540336150.766 * [misc]taylor: Taking taylor expansion of n in n 1540336150.766 * [misc]backup-simplify: Simplify 0 into 0 1540336150.766 * [misc]backup-simplify: Simplify 1 into 1 1540336150.766 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.766 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336150.766 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.767 * [misc]backup-simplify: Simplify 2 into 2 1540336150.767 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.767 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.767 * [misc]backup-simplify: Simplify PI into PI 1540336150.767 * [misc]taylor: Taking taylor expansion of n in n 1540336150.767 * [misc]backup-simplify: Simplify 0 into 0 1540336150.767 * [misc]backup-simplify: Simplify 1 into 1 1540336150.767 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.767 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.767 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.769 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336150.769 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336150.769 * [misc]backup-simplify: Simplify 0 into 0 1540336150.771 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.772 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336150.772 * [misc]backup-simplify: Simplify 0 into 0 1540336150.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.775 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.775 * [misc]backup-simplify: Simplify 0 into 0 1540336150.777 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.779 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336150.779 * [misc]backup-simplify: Simplify 0 into 0 1540336150.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.784 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336150.784 * [misc]backup-simplify: Simplify 0 into 0 1540336150.787 * [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 1540336150.790 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336150.790 * [misc]backup-simplify: Simplify 0 into 0 1540336150.790 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540336150.791 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1540336150.791 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540336150.791 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336150.791 * [misc]taylor: Taking taylor expansion of -2 in n 1540336150.791 * [misc]backup-simplify: Simplify -2 into -2 1540336150.791 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.791 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.791 * [misc]backup-simplify: Simplify PI into PI 1540336150.791 * [misc]taylor: Taking taylor expansion of n in n 1540336150.791 * [misc]backup-simplify: Simplify 0 into 0 1540336150.791 * [misc]backup-simplify: Simplify 1 into 1 1540336150.791 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.791 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336150.791 * [misc]taylor: Taking taylor expansion of -2 in n 1540336150.791 * [misc]backup-simplify: Simplify -2 into -2 1540336150.791 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.791 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.791 * [misc]backup-simplify: Simplify PI into PI 1540336150.791 * [misc]taylor: Taking taylor expansion of n in n 1540336150.791 * [misc]backup-simplify: Simplify 0 into 0 1540336150.791 * [misc]backup-simplify: Simplify 1 into 1 1540336150.792 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.792 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336150.792 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336150.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336150.794 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336150.794 * [misc]backup-simplify: Simplify 0 into 0 1540336150.795 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.796 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336150.796 * [misc]backup-simplify: Simplify 0 into 0 1540336150.797 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.798 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.798 * [misc]backup-simplify: Simplify 0 into 0 1540336150.799 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.801 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336150.801 * [misc]backup-simplify: Simplify 0 into 0 1540336150.802 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.804 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336150.804 * [misc]backup-simplify: Simplify 0 into 0 1540336150.805 * [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 1540336150.807 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336150.807 * [misc]backup-simplify: Simplify 0 into 0 1540336150.808 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540336150.808 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540336150.808 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1540336150.808 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1540336150.808 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1540336150.808 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1540336150.808 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336150.808 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.808 * [misc]backup-simplify: Simplify 2 into 2 1540336150.808 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.808 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.808 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1540336150.808 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540336150.808 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540336150.808 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1540336150.808 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540336150.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336150.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336150.809 * [misc]taylor: Taking taylor expansion of k in k 1540336150.809 * [misc]backup-simplify: Simplify 0 into 0 1540336150.809 * [misc]backup-simplify: Simplify 1 into 1 1540336150.809 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540336150.809 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540336150.809 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.809 * [misc]backup-simplify: Simplify 2 into 2 1540336150.809 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540336150.809 * [misc]taylor: Taking taylor expansion of n in k 1540336150.809 * [misc]backup-simplify: Simplify n into n 1540336150.809 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.809 * [misc]backup-simplify: Simplify PI into PI 1540336150.809 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540336150.809 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540336150.809 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540336150.809 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540336150.809 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.809 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1540336150.809 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.809 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1540336150.810 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1540336150.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1540336150.810 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540336150.810 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336150.811 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1540336150.811 * [misc]backup-simplify: Simplify (exp 0) into 1 1540336150.811 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1540336150.811 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1540336150.811 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540336150.811 * [misc]taylor: Taking taylor expansion of n in k 1540336150.811 * [misc]backup-simplify: Simplify n into n 1540336150.811 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.811 * [misc]backup-simplify: Simplify PI into PI 1540336150.811 * [misc]taylor: Taking taylor expansion of k in k 1540336150.811 * [misc]backup-simplify: Simplify 0 into 0 1540336150.811 * [misc]backup-simplify: Simplify 1 into 1 1540336150.811 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540336150.811 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1540336150.811 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336150.811 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1540336150.811 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1540336150.811 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1540336150.811 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336150.811 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.811 * [misc]backup-simplify: Simplify 2 into 2 1540336150.811 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.811 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1540336150.811 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540336150.812 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540336150.812 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540336150.812 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540336150.812 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336150.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336150.812 * [misc]taylor: Taking taylor expansion of k in n 1540336150.812 * [misc]backup-simplify: Simplify k into k 1540336150.812 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540336150.812 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336150.812 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.812 * [misc]backup-simplify: Simplify 2 into 2 1540336150.812 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.812 * [misc]taylor: Taking taylor expansion of n in n 1540336150.812 * [misc]backup-simplify: Simplify 0 into 0 1540336150.812 * [misc]backup-simplify: Simplify 1 into 1 1540336150.812 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.812 * [misc]backup-simplify: Simplify PI into PI 1540336150.812 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336150.812 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336150.812 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336150.813 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336150.813 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.813 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540336150.813 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336150.814 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336150.814 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1540336150.814 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1540336150.815 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540336150.815 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540336150.815 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.815 * [misc]taylor: Taking taylor expansion of n in n 1540336150.815 * [misc]backup-simplify: Simplify 0 into 0 1540336150.815 * [misc]backup-simplify: Simplify 1 into 1 1540336150.815 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.815 * [misc]backup-simplify: Simplify PI into PI 1540336150.815 * [misc]taylor: Taking taylor expansion of k in n 1540336150.815 * [misc]backup-simplify: Simplify k into k 1540336150.815 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336150.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336150.815 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540336150.815 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336150.816 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540336150.816 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.816 * [misc]backup-simplify: Simplify 2 into 2 1540336150.816 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.816 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.816 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336150.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336150.816 * [misc]taylor: Taking taylor expansion of k in n 1540336150.816 * [misc]backup-simplify: Simplify k into k 1540336150.816 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.816 * [misc]backup-simplify: Simplify 2 into 2 1540336150.816 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.816 * [misc]taylor: Taking taylor expansion of n in n 1540336150.816 * [misc]backup-simplify: Simplify 0 into 0 1540336150.816 * [misc]backup-simplify: Simplify 1 into 1 1540336150.816 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.816 * [misc]backup-simplify: Simplify PI into PI 1540336150.816 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336150.816 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336150.817 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336150.817 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336150.818 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.818 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540336150.818 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336150.818 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336150.819 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1540336150.819 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1540336150.819 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540336150.819 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540336150.819 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336150.819 * [misc]taylor: Taking taylor expansion of n in n 1540336150.819 * [misc]backup-simplify: Simplify 0 into 0 1540336150.819 * [misc]backup-simplify: Simplify 1 into 1 1540336150.819 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.819 * [misc]backup-simplify: Simplify PI into PI 1540336150.819 * [misc]taylor: Taking taylor expansion of k in n 1540336150.819 * [misc]backup-simplify: Simplify k into k 1540336150.819 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336150.820 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336150.820 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540336150.820 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336150.820 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540336150.821 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1540336150.821 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1540336150.821 * [misc]taylor: Taking taylor expansion of 0 in k 1540336150.821 * [misc]backup-simplify: Simplify 0 into 0 1540336150.821 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336150.822 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336150.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336150.824 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336150.824 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540336150.824 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.825 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336150.825 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540336150.826 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336150.827 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1540336150.827 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) 1540336150.827 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1540336150.827 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1540336150.827 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336150.827 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336150.827 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1540336150.827 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1540336150.827 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336150.827 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.827 * [misc]backup-simplify: Simplify 2 into 2 1540336150.828 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.828 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.828 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.828 * [misc]backup-simplify: Simplify PI into PI 1540336150.828 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336150.828 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336150.828 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of n in k 1540336150.828 * [misc]backup-simplify: Simplify n into n 1540336150.828 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336150.828 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336150.828 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.828 * [misc]backup-simplify: Simplify 2 into 2 1540336150.828 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.828 * [misc]backup-simplify: Simplify PI into PI 1540336150.828 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.828 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.828 * [misc]taylor: Taking taylor expansion of k in k 1540336150.829 * [misc]backup-simplify: Simplify 0 into 0 1540336150.829 * [misc]backup-simplify: Simplify 1 into 1 1540336150.829 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336150.829 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1540336150.829 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1540336150.830 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540336150.830 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336150.832 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336150.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336150.832 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1540336150.833 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1540336150.833 * [misc]backup-simplify: Simplify (exp 0) into 1 1540336150.833 * [misc]taylor: Taking taylor expansion of k in k 1540336150.833 * [misc]backup-simplify: Simplify 0 into 0 1540336150.833 * [misc]backup-simplify: Simplify 1 into 1 1540336150.833 * [misc]backup-simplify: Simplify (* PI 1) into PI 1540336150.834 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1540336150.834 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1540336150.834 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1540336150.835 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336150.836 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336150.836 * [misc]backup-simplify: Simplify 0 into 0 1540336150.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336150.837 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540336150.837 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1540336150.837 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540336150.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336150.842 * [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 1540336150.842 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540336150.842 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.843 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336150.843 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540336150.845 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540336150.846 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336150.846 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1540336150.847 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) 1540336150.847 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) in k 1540336150.847 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2))) in k 1540336150.847 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336150.847 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336150.847 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)) in k 1540336150.847 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1540336150.847 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336150.847 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.847 * [misc]backup-simplify: Simplify 2 into 2 1540336150.847 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.848 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.848 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.848 * [misc]backup-simplify: Simplify PI into PI 1540336150.848 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336150.848 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336150.848 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of n in k 1540336150.848 * [misc]backup-simplify: Simplify n into n 1540336150.848 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336150.848 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336150.848 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.848 * [misc]backup-simplify: Simplify 2 into 2 1540336150.848 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.848 * [misc]backup-simplify: Simplify PI into PI 1540336150.848 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.848 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.848 * [misc]taylor: Taking taylor expansion of k in k 1540336150.848 * [misc]backup-simplify: Simplify 0 into 0 1540336150.848 * [misc]backup-simplify: Simplify 1 into 1 1540336150.849 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540336150.849 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1540336150.849 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1540336150.850 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540336150.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336150.852 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336150.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540336150.853 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1540336150.854 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1540336150.854 * [misc]backup-simplify: Simplify (exp 0) into 1 1540336150.854 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540336150.854 * [misc]taylor: Taking taylor expansion of k in k 1540336150.854 * [misc]backup-simplify: Simplify 0 into 0 1540336150.854 * [misc]backup-simplify: Simplify 1 into 1 1540336150.855 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336150.855 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540336150.856 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540336150.856 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336150.857 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1540336150.858 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1540336150.859 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336150.860 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n))))) 1540336150.863 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1540336150.863 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336150.867 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1540336150.871 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1540336150.874 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1540336150.877 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1540336150.879 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1540336150.881 * [misc]backup-simplify: Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n))))) 1540336150.882 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1540336150.886 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1540336150.888 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1540336150.891 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1540336150.893 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1540336150.898 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1540336150.899 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1540336150.899 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0 1540336150.899 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.899 * [misc]backup-simplify: Simplify 2 into 2 1540336150.899 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.899 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.899 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336150.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336150.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of k in k 1540336150.899 * [misc]backup-simplify: Simplify 0 into 0 1540336150.899 * [misc]backup-simplify: Simplify 1 into 1 1540336150.899 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336150.899 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540336150.899 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540336150.900 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.900 * [misc]backup-simplify: Simplify 2 into 2 1540336150.900 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336150.900 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.900 * [misc]backup-simplify: Simplify PI into PI 1540336150.900 * [misc]taylor: Taking taylor expansion of n in k 1540336150.900 * [misc]backup-simplify: Simplify n into n 1540336150.900 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336150.900 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540336150.900 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540336150.900 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336150.900 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540336150.900 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540336150.900 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1540336150.900 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1540336150.900 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1540336150.900 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336150.900 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.900 * [misc]backup-simplify: Simplify PI into PI 1540336150.900 * [misc]taylor: Taking taylor expansion of k in k 1540336150.900 * [misc]backup-simplify: Simplify 0 into 0 1540336150.900 * [misc]backup-simplify: Simplify 1 into 1 1540336150.900 * [misc]taylor: Taking taylor expansion of n in k 1540336150.900 * [misc]backup-simplify: Simplify n into n 1540336150.901 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336150.901 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336150.901 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336150.901 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336150.901 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1540336150.901 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1540336150.901 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1540336150.901 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336150.901 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.901 * [misc]backup-simplify: Simplify 2 into 2 1540336150.902 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.902 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.902 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336150.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336150.902 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of k in n 1540336150.902 * [misc]backup-simplify: Simplify k into k 1540336150.902 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336150.902 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.902 * [misc]backup-simplify: Simplify 2 into 2 1540336150.902 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.902 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.902 * [misc]backup-simplify: Simplify PI into PI 1540336150.902 * [misc]taylor: Taking taylor expansion of n in n 1540336150.902 * [misc]backup-simplify: Simplify 0 into 0 1540336150.902 * [misc]backup-simplify: Simplify 1 into 1 1540336150.902 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.902 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.903 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.903 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336150.903 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336150.903 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336150.904 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1540336150.904 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336150.904 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540336150.904 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540336150.904 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540336150.904 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.904 * [misc]backup-simplify: Simplify PI into PI 1540336150.904 * [misc]taylor: Taking taylor expansion of k in n 1540336150.904 * [misc]backup-simplify: Simplify k into k 1540336150.904 * [misc]taylor: Taking taylor expansion of n in n 1540336150.904 * [misc]backup-simplify: Simplify 0 into 0 1540336150.904 * [misc]backup-simplify: Simplify 1 into 1 1540336150.904 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540336150.904 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540336150.904 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336150.904 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540336150.904 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1540336150.904 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.905 * [misc]backup-simplify: Simplify 2 into 2 1540336150.905 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.905 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.905 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336150.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336150.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of k in n 1540336150.905 * [misc]backup-simplify: Simplify k into k 1540336150.905 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336150.905 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of 2 in n 1540336150.905 * [misc]backup-simplify: Simplify 2 into 2 1540336150.905 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336150.905 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.905 * [misc]backup-simplify: Simplify PI into PI 1540336150.905 * [misc]taylor: Taking taylor expansion of n in n 1540336150.905 * [misc]backup-simplify: Simplify 0 into 0 1540336150.905 * [misc]backup-simplify: Simplify 1 into 1 1540336150.905 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336150.905 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.906 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.906 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336150.906 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336150.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336150.907 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1540336150.907 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336150.907 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540336150.907 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540336150.907 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540336150.907 * [misc]taylor: Taking taylor expansion of PI in n 1540336150.907 * [misc]backup-simplify: Simplify PI into PI 1540336150.907 * [misc]taylor: Taking taylor expansion of k in n 1540336150.908 * [misc]backup-simplify: Simplify k into k 1540336150.908 * [misc]taylor: Taking taylor expansion of n in n 1540336150.908 * [misc]backup-simplify: Simplify 0 into 0 1540336150.908 * [misc]backup-simplify: Simplify 1 into 1 1540336150.908 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540336150.908 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540336150.908 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336150.908 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540336150.908 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1540336150.909 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1540336150.909 * [misc]taylor: Taking taylor expansion of 0 in k 1540336150.909 * [misc]backup-simplify: Simplify 0 into 0 1540336150.909 * [misc]backup-simplify: Simplify 0 into 0 1540336150.909 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336150.910 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336150.910 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336150.912 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540336150.912 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336150.912 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540336150.912 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.913 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336150.913 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540336150.914 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336150.914 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1540336150.915 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) 1540336150.915 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336150.915 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336150.915 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336150.915 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336150.915 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336150.915 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.915 * [misc]backup-simplify: Simplify 2 into 2 1540336150.915 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.915 * [misc]backup-simplify: Simplify PI into PI 1540336150.916 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.916 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.916 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336150.916 * [misc]taylor: Taking taylor expansion of n in k 1540336150.916 * [misc]backup-simplify: Simplify n into n 1540336150.916 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336150.916 * [misc]taylor: Taking taylor expansion of k in k 1540336150.916 * [misc]backup-simplify: Simplify 0 into 0 1540336150.916 * [misc]backup-simplify: Simplify 1 into 1 1540336150.916 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336150.916 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336150.917 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540336150.917 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336150.917 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336150.917 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1540336150.917 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336150.917 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.917 * [misc]backup-simplify: Simplify 2 into 2 1540336150.918 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.918 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.918 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336150.918 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.918 * [misc]backup-simplify: Simplify PI into PI 1540336150.918 * [misc]taylor: Taking taylor expansion of k in k 1540336150.918 * [misc]backup-simplify: Simplify 0 into 0 1540336150.918 * [misc]backup-simplify: Simplify 1 into 1 1540336150.918 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336150.918 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336150.918 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1540336150.919 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540336150.919 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.919 * [misc]backup-simplify: Simplify 0 into 0 1540336150.919 * [misc]backup-simplify: Simplify 0 into 0 1540336150.919 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1540336150.919 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1540336150.920 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1540336150.920 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336150.920 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.921 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336150.924 * [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 1540336150.924 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.924 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336150.925 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540336150.925 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336150.926 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540336150.927 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540336150.929 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336150.930 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1540336150.931 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) 1540336150.931 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k 1540336150.931 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1540336150.931 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336150.931 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336150.931 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1540336150.931 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540336150.931 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540336150.931 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336150.931 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336150.931 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540336150.932 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336150.932 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336150.932 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336150.932 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.932 * [misc]backup-simplify: Simplify 2 into 2 1540336150.932 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.932 * [misc]backup-simplify: Simplify PI into PI 1540336150.932 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.932 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.932 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336150.932 * [misc]taylor: Taking taylor expansion of n in k 1540336150.933 * [misc]backup-simplify: Simplify n into n 1540336150.933 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336150.933 * [misc]taylor: Taking taylor expansion of k in k 1540336150.933 * [misc]backup-simplify: Simplify 0 into 0 1540336150.933 * [misc]backup-simplify: Simplify 1 into 1 1540336150.933 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336150.933 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336150.934 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540336150.934 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336150.935 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336150.935 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1540336150.935 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336150.935 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.935 * [misc]backup-simplify: Simplify 2 into 2 1540336150.935 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.935 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.935 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1540336150.936 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336150.936 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.936 * [misc]backup-simplify: Simplify PI into PI 1540336150.936 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540336150.936 * [misc]taylor: Taking taylor expansion of k in k 1540336150.936 * [misc]backup-simplify: Simplify 0 into 0 1540336150.936 * [misc]backup-simplify: Simplify 1 into 1 1540336150.936 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336150.937 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1540336150.938 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1540336150.939 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1540336150.941 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1540336150.942 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1540336150.942 * [misc]backup-simplify: Simplify 0 into 0 1540336150.942 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1540336150.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.944 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3))) 1540336150.944 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336150.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.947 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336150.956 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1540336150.956 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.956 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.956 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336150.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540336150.957 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336150.959 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540336150.963 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540336150.963 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336150.964 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1540336150.966 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) 1540336150.966 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k 1540336150.966 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1540336150.966 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336150.966 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336150.967 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1540336150.967 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540336150.967 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540336150.967 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336150.967 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336150.967 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540336150.967 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336150.967 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336150.967 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336150.967 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.967 * [misc]backup-simplify: Simplify 2 into 2 1540336150.967 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.967 * [misc]backup-simplify: Simplify PI into PI 1540336150.967 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336150.968 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336150.968 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336150.968 * [misc]taylor: Taking taylor expansion of n in k 1540336150.968 * [misc]backup-simplify: Simplify n into n 1540336150.968 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336150.968 * [misc]taylor: Taking taylor expansion of k in k 1540336150.968 * [misc]backup-simplify: Simplify 0 into 0 1540336150.968 * [misc]backup-simplify: Simplify 1 into 1 1540336150.968 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336150.968 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336150.969 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540336150.970 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336150.970 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336150.970 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1540336150.970 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336150.970 * [misc]taylor: Taking taylor expansion of 2 in k 1540336150.970 * [misc]backup-simplify: Simplify 2 into 2 1540336150.970 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336150.971 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336150.971 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1540336150.971 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540336150.971 * [misc]taylor: Taking taylor expansion of PI in k 1540336150.971 * [misc]backup-simplify: Simplify PI into PI 1540336150.971 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540336150.971 * [misc]taylor: Taking taylor expansion of k in k 1540336150.971 * [misc]backup-simplify: Simplify 0 into 0 1540336150.971 * [misc]backup-simplify: Simplify 1 into 1 1540336150.972 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540336150.973 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336150.974 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1540336150.976 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1540336150.978 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1540336150.978 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.978 * [misc]backup-simplify: Simplify 0 into 0 1540336150.978 * [misc]backup-simplify: Simplify 0 into 0 1540336150.979 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540336150.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.981 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4))) 1540336150.981 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336150.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336150.985 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336150.999 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 1540336150.999 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.999 * [misc]backup-simplify: Simplify (- 0) into 0 1540336150.999 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.000 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336151.000 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1540336151.000 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.001 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336151.002 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1540336151.008 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (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 1540336151.010 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336151.011 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1540336151.013 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) 1540336151.014 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336151.014 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336151.014 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336151.014 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336151.014 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336151.014 * [misc]taylor: Taking taylor expansion of 2 in k 1540336151.014 * [misc]backup-simplify: Simplify 2 into 2 1540336151.014 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.014 * [misc]backup-simplify: Simplify PI into PI 1540336151.014 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336151.015 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336151.015 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336151.015 * [misc]taylor: Taking taylor expansion of n in k 1540336151.015 * [misc]backup-simplify: Simplify n into n 1540336151.015 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336151.015 * [misc]taylor: Taking taylor expansion of k in k 1540336151.015 * [misc]backup-simplify: Simplify 0 into 0 1540336151.015 * [misc]backup-simplify: Simplify 1 into 1 1540336151.015 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336151.016 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336151.016 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540336151.017 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336151.017 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336151.017 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1540336151.017 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336151.017 * [misc]taylor: Taking taylor expansion of 2 in k 1540336151.017 * [misc]backup-simplify: Simplify 2 into 2 1540336151.017 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336151.018 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336151.018 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1540336151.018 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1540336151.018 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.018 * [misc]backup-simplify: Simplify PI into PI 1540336151.018 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1540336151.018 * [misc]taylor: Taking taylor expansion of k in k 1540336151.018 * [misc]backup-simplify: Simplify 0 into 0 1540336151.018 * [misc]backup-simplify: Simplify 1 into 1 1540336151.018 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336151.019 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336151.019 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540336151.020 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540336151.021 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1540336151.022 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1540336151.023 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1540336151.024 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1540336151.027 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540336151.027 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336151.029 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336151.031 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1540336151.032 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0 1540336151.033 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.033 * [misc]backup-simplify: Simplify 0 into 0 1540336151.033 * [misc]backup-simplify: Simplify 0 into 0 1540336151.034 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1540336151.035 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336151.036 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5))) 1540336151.036 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336151.039 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336151.042 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336151.063 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 1540336151.064 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.064 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.064 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.064 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.064 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336151.065 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1540336151.065 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.066 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336151.067 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1540336151.076 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540336151.077 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336151.078 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0 1540336151.081 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) 1540336151.081 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336151.081 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336151.081 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336151.081 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336151.081 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336151.081 * [misc]taylor: Taking taylor expansion of 2 in k 1540336151.081 * [misc]backup-simplify: Simplify 2 into 2 1540336151.081 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.081 * [misc]backup-simplify: Simplify PI into PI 1540336151.082 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336151.082 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336151.082 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336151.082 * [misc]taylor: Taking taylor expansion of n in k 1540336151.082 * [misc]backup-simplify: Simplify n into n 1540336151.082 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336151.082 * [misc]taylor: Taking taylor expansion of k in k 1540336151.082 * [misc]backup-simplify: Simplify 0 into 0 1540336151.082 * [misc]backup-simplify: Simplify 1 into 1 1540336151.082 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336151.083 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336151.083 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540336151.084 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336151.084 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336151.084 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1540336151.084 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336151.084 * [misc]taylor: Taking taylor expansion of 2 in k 1540336151.084 * [misc]backup-simplify: Simplify 2 into 2 1540336151.084 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336151.084 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336151.084 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1540336151.084 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1540336151.085 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.085 * [misc]backup-simplify: Simplify PI into PI 1540336151.085 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1540336151.085 * [misc]taylor: Taking taylor expansion of k in k 1540336151.085 * [misc]backup-simplify: Simplify 0 into 0 1540336151.085 * [misc]backup-simplify: Simplify 1 into 1 1540336151.085 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336151.085 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336151.086 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1540336151.086 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540336151.087 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540336151.088 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1540336151.088 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.088 * [misc]backup-simplify: Simplify 0 into 0 1540336151.089 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540336151.090 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336151.091 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336151.093 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1540336151.094 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0 1540336151.094 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.094 * [misc]backup-simplify: Simplify 0 into 0 1540336151.094 * [misc]backup-simplify: Simplify 0 into 0 1540336151.095 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1540336151.095 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336151.096 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6))) 1540336151.096 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540336151.098 * [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 1540336151.100 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336151.122 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0 1540336151.122 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.122 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.123 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.123 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.123 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.123 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336151.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1540336151.124 * [misc]backup-simplify: Simplify (- 0) into 0 1540336151.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540336151.126 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1540336151.140 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540336151.142 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336151.143 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0 1540336151.146 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) 1540336151.146 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k 1540336151.146 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1540336151.146 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336151.146 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336151.146 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1540336151.147 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1540336151.147 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1540336151.147 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540336151.147 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540336151.147 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1540336151.147 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540336151.147 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540336151.147 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540336151.147 * [misc]taylor: Taking taylor expansion of 2 in k 1540336151.147 * [misc]backup-simplify: Simplify 2 into 2 1540336151.147 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.147 * [misc]backup-simplify: Simplify PI into PI 1540336151.147 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336151.148 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540336151.148 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336151.148 * [misc]taylor: Taking taylor expansion of n in k 1540336151.148 * [misc]backup-simplify: Simplify n into n 1540336151.148 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336151.148 * [misc]taylor: Taking taylor expansion of k in k 1540336151.148 * [misc]backup-simplify: Simplify 0 into 0 1540336151.148 * [misc]backup-simplify: Simplify 1 into 1 1540336151.148 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336151.148 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540336151.148 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1540336151.149 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540336151.149 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1540336151.149 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1540336151.149 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336151.149 * [misc]taylor: Taking taylor expansion of 2 in k 1540336151.149 * [misc]backup-simplify: Simplify 2 into 2 1540336151.149 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336151.149 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336151.149 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1540336151.150 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1540336151.150 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.150 * [misc]backup-simplify: Simplify PI into PI 1540336151.150 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1540336151.150 * [misc]taylor: Taking taylor expansion of k in k 1540336151.150 * [misc]backup-simplify: Simplify 0 into 0 1540336151.150 * [misc]backup-simplify: Simplify 1 into 1 1540336151.150 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336151.150 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540336151.150 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336151.150 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336151.151 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1540336151.151 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540336151.152 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1540336151.153 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1540336151.153 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1540336151.154 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1540336151.158 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1540336151.158 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1540336151.158 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0 1540336151.158 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1540336151.158 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1540336151.158 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1540336151.158 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540336151.158 * [misc]taylor: Taking taylor expansion of -2 in k 1540336151.158 * [misc]backup-simplify: Simplify -2 into -2 1540336151.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336151.158 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.158 * [misc]backup-simplify: Simplify PI into PI 1540336151.158 * [misc]taylor: Taking taylor expansion of n in k 1540336151.158 * [misc]backup-simplify: Simplify n into n 1540336151.158 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336151.158 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540336151.158 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1540336151.159 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1540336151.159 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1540336151.159 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1540336151.159 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336151.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336151.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of k in k 1540336151.159 * [misc]backup-simplify: Simplify 0 into 0 1540336151.159 * [misc]backup-simplify: Simplify 1 into 1 1540336151.159 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540336151.159 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of -2 in k 1540336151.159 * [misc]backup-simplify: Simplify -2 into -2 1540336151.159 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336151.159 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.159 * [misc]backup-simplify: Simplify PI into PI 1540336151.159 * [misc]taylor: Taking taylor expansion of n in k 1540336151.159 * [misc]backup-simplify: Simplify n into n 1540336151.159 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336151.159 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540336151.159 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540336151.160 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540336151.160 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540336151.160 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1540336151.160 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336151.160 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336151.160 * [misc]taylor: Taking taylor expansion of -1 in k 1540336151.160 * [misc]backup-simplify: Simplify -1 into -1 1540336151.160 * [misc]taylor: Taking taylor expansion of k in k 1540336151.160 * [misc]backup-simplify: Simplify 0 into 0 1540336151.160 * [misc]backup-simplify: Simplify 1 into 1 1540336151.160 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336151.160 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.160 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336151.161 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1540336151.161 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1540336151.161 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1540336151.161 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1540336151.161 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336151.161 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336151.161 * [misc]taylor: Taking taylor expansion of -2 in n 1540336151.161 * [misc]backup-simplify: Simplify -2 into -2 1540336151.161 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.161 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.161 * [misc]backup-simplify: Simplify PI into PI 1540336151.161 * [misc]taylor: Taking taylor expansion of n in n 1540336151.161 * [misc]backup-simplify: Simplify 0 into 0 1540336151.161 * [misc]backup-simplify: Simplify 1 into 1 1540336151.161 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.161 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.161 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.162 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.162 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336151.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336151.162 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of k in n 1540336151.162 * [misc]backup-simplify: Simplify k into k 1540336151.162 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336151.162 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of -2 in n 1540336151.162 * [misc]backup-simplify: Simplify -2 into -2 1540336151.162 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.162 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.162 * [misc]backup-simplify: Simplify PI into PI 1540336151.162 * [misc]taylor: Taking taylor expansion of n in n 1540336151.162 * [misc]backup-simplify: Simplify 0 into 0 1540336151.162 * [misc]backup-simplify: Simplify 1 into 1 1540336151.162 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.162 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.163 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336151.163 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336151.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336151.164 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1540336151.164 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540336151.164 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336151.164 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336151.164 * [misc]taylor: Taking taylor expansion of -1 in n 1540336151.164 * [misc]backup-simplify: Simplify -1 into -1 1540336151.164 * [misc]taylor: Taking taylor expansion of k in n 1540336151.164 * [misc]backup-simplify: Simplify k into k 1540336151.164 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336151.164 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336151.164 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336151.164 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336151.165 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1540336151.165 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336151.166 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336151.167 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540336151.168 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336151.168 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540336151.168 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336151.168 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540336151.169 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336151.170 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.171 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1540336151.171 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1540336151.171 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1540336151.171 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336151.171 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336151.171 * [misc]taylor: Taking taylor expansion of -2 in n 1540336151.171 * [misc]backup-simplify: Simplify -2 into -2 1540336151.171 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.171 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.171 * [misc]backup-simplify: Simplify PI into PI 1540336151.171 * [misc]taylor: Taking taylor expansion of n in n 1540336151.171 * [misc]backup-simplify: Simplify 0 into 0 1540336151.171 * [misc]backup-simplify: Simplify 1 into 1 1540336151.171 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.171 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.171 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.172 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.172 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540336151.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336151.172 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of k in n 1540336151.172 * [misc]backup-simplify: Simplify k into k 1540336151.172 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540336151.172 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of -2 in n 1540336151.172 * [misc]backup-simplify: Simplify -2 into -2 1540336151.172 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.172 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.172 * [misc]backup-simplify: Simplify PI into PI 1540336151.172 * [misc]taylor: Taking taylor expansion of n in n 1540336151.172 * [misc]backup-simplify: Simplify 0 into 0 1540336151.172 * [misc]backup-simplify: Simplify 1 into 1 1540336151.172 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.172 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.173 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336151.173 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540336151.173 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336151.173 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1540336151.174 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540336151.174 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336151.174 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336151.174 * [misc]taylor: Taking taylor expansion of -1 in n 1540336151.174 * [misc]backup-simplify: Simplify -1 into -1 1540336151.174 * [misc]taylor: Taking taylor expansion of k in n 1540336151.174 * [misc]backup-simplify: Simplify k into k 1540336151.174 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336151.174 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336151.174 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336151.174 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336151.174 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1540336151.175 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336151.176 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336151.179 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540336151.180 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540336151.180 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540336151.181 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336151.181 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540336151.183 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540336151.184 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.185 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1540336151.185 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336151.185 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336151.185 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.185 * [misc]backup-simplify: Simplify PI into PI 1540336151.185 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336151.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336151.185 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540336151.185 * [misc]taylor: Taking taylor expansion of -2 in k 1540336151.185 * [misc]backup-simplify: Simplify -2 into -2 1540336151.185 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.185 * [misc]backup-simplify: Simplify PI into PI 1540336151.186 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.186 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336151.186 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336151.186 * [misc]taylor: Taking taylor expansion of n in k 1540336151.186 * [misc]backup-simplify: Simplify n into n 1540336151.186 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336151.186 * [misc]taylor: Taking taylor expansion of k in k 1540336151.186 * [misc]backup-simplify: Simplify 0 into 0 1540336151.186 * [misc]backup-simplify: Simplify 1 into 1 1540336151.186 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336151.187 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540336151.188 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1540336151.188 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540336151.189 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540336151.189 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336151.189 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336151.189 * [misc]taylor: Taking taylor expansion of -1 in k 1540336151.189 * [misc]backup-simplify: Simplify -1 into -1 1540336151.189 * [misc]taylor: Taking taylor expansion of k in k 1540336151.189 * [misc]backup-simplify: Simplify 0 into 0 1540336151.189 * [misc]backup-simplify: Simplify 1 into 1 1540336151.189 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336151.189 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.190 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336151.190 * [misc]backup-simplify: Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1540336151.191 * [misc]backup-simplify: Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1540336151.192 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1540336151.192 * [misc]backup-simplify: Simplify (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1540336151.194 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336151.195 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336151.200 * [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 1540336151.200 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336151.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540336151.201 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540336151.202 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540336151.205 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540336151.206 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336151.207 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336151.208 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336151.210 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.212 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) 1540336151.212 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336151.213 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336151.213 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.213 * [misc]backup-simplify: Simplify PI into PI 1540336151.213 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540336151.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540336151.213 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540336151.213 * [misc]taylor: Taking taylor expansion of -2 in k 1540336151.213 * [misc]backup-simplify: Simplify -2 into -2 1540336151.213 * [misc]taylor: Taking taylor expansion of PI in k 1540336151.213 * [misc]backup-simplify: Simplify PI into PI 1540336151.213 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.214 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540336151.214 * [misc]taylor: Taking taylor expansion of (log n) in k 1540336151.214 * [misc]taylor: Taking taylor expansion of n in k 1540336151.214 * [misc]backup-simplify: Simplify n into n 1540336151.214 * [misc]backup-simplify: Simplify (log n) into (log n) 1540336151.214 * [misc]taylor: Taking taylor expansion of k in k 1540336151.214 * [misc]backup-simplify: Simplify 0 into 0 1540336151.214 * [misc]backup-simplify: Simplify 1 into 1 1540336151.214 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540336151.215 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540336151.215 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1540336151.216 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540336151.216 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1540336151.216 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336151.216 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336151.216 * [misc]taylor: Taking taylor expansion of -1 in k 1540336151.216 * [misc]backup-simplify: Simplify -1 into -1 1540336151.216 * [misc]taylor: Taking taylor expansion of k in k 1540336151.216 * [misc]backup-simplify: Simplify 0 into 0 1540336151.216 * [misc]backup-simplify: Simplify 1 into 1 1540336151.217 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336151.217 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.217 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336151.218 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336151.218 * [misc]backup-simplify: Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1540336151.219 * [misc]backup-simplify: Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1540336151.220 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1540336151.221 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.222 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.223 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1540336151.223 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540336151.224 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336151.225 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.227 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.228 * [misc]backup-simplify: Simplify (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1540336151.231 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1540336151.231 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1540336151.231 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1540336151.231 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1540336151.231 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540336151.231 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336151.231 * [misc]taylor: Taking taylor expansion of 2 in n 1540336151.231 * [misc]backup-simplify: Simplify 2 into 2 1540336151.232 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336151.232 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336151.232 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540336151.232 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336151.232 * [misc]taylor: Taking taylor expansion of n in n 1540336151.232 * [misc]backup-simplify: Simplify 0 into 0 1540336151.232 * [misc]backup-simplify: Simplify 1 into 1 1540336151.232 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.232 * [misc]backup-simplify: Simplify PI into PI 1540336151.232 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336151.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336151.233 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.234 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.234 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540336151.234 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336151.234 * [misc]taylor: Taking taylor expansion of 2 in n 1540336151.234 * [misc]backup-simplify: Simplify 2 into 2 1540336151.234 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336151.234 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336151.234 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540336151.234 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336151.234 * [misc]taylor: Taking taylor expansion of n in n 1540336151.234 * [misc]backup-simplify: Simplify 0 into 0 1540336151.234 * [misc]backup-simplify: Simplify 1 into 1 1540336151.234 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.234 * [misc]backup-simplify: Simplify PI into PI 1540336151.235 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336151.235 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336151.235 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.236 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.236 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336151.236 * [misc]backup-simplify: Simplify 0 into 0 1540336151.237 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336151.238 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336151.240 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336151.241 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336151.243 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336151.245 * [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)))) 1540336151.247 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336151.248 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336151.251 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336151.252 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336151.256 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336151.257 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336151.262 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow n 3)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow n 2)) (* (- (* +nan.0 (* (sqrt 2) PI))) n))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1540336151.262 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1540336151.262 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1540336151.262 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540336151.262 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336151.262 * [misc]taylor: Taking taylor expansion of 2 in n 1540336151.262 * [misc]backup-simplify: Simplify 2 into 2 1540336151.262 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336151.262 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336151.262 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540336151.262 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.262 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.263 * [misc]backup-simplify: Simplify PI into PI 1540336151.263 * [misc]taylor: Taking taylor expansion of n in n 1540336151.263 * [misc]backup-simplify: Simplify 0 into 0 1540336151.263 * [misc]backup-simplify: Simplify 1 into 1 1540336151.263 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.263 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.264 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.264 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540336151.264 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336151.264 * [misc]taylor: Taking taylor expansion of 2 in n 1540336151.264 * [misc]backup-simplify: Simplify 2 into 2 1540336151.264 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336151.264 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336151.264 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540336151.264 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.264 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.264 * [misc]backup-simplify: Simplify PI into PI 1540336151.264 * [misc]taylor: Taking taylor expansion of n in n 1540336151.264 * [misc]backup-simplify: Simplify 0 into 0 1540336151.264 * [misc]backup-simplify: Simplify 1 into 1 1540336151.265 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.265 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.265 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.266 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336151.266 * [misc]backup-simplify: Simplify 0 into 0 1540336151.267 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336151.268 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336151.269 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336151.270 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336151.272 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336151.274 * [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)))) 1540336151.275 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336151.277 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336151.280 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336151.280 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336151.284 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336151.285 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336151.290 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow (/ 1 n) 2)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (/ 1 n)) (- (* +nan.0 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540336151.290 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1540336151.290 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1540336151.290 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336151.290 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336151.290 * [misc]taylor: Taking taylor expansion of -2 in n 1540336151.290 * [misc]backup-simplify: Simplify -2 into -2 1540336151.290 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.290 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.290 * [misc]backup-simplify: Simplify PI into PI 1540336151.290 * [misc]taylor: Taking taylor expansion of n in n 1540336151.290 * [misc]backup-simplify: Simplify 0 into 0 1540336151.290 * [misc]backup-simplify: Simplify 1 into 1 1540336151.291 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.291 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.291 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.292 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.292 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336151.292 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336151.292 * [misc]taylor: Taking taylor expansion of -2 in n 1540336151.292 * [misc]backup-simplify: Simplify -2 into -2 1540336151.292 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336151.292 * [misc]taylor: Taking taylor expansion of PI in n 1540336151.292 * [misc]backup-simplify: Simplify PI into PI 1540336151.292 * [misc]taylor: Taking taylor expansion of n in n 1540336151.292 * [misc]backup-simplify: Simplify 0 into 0 1540336151.292 * [misc]backup-simplify: Simplify 1 into 1 1540336151.292 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336151.293 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336151.293 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336151.293 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336151.294 * [misc]backup-simplify: Simplify 0 into 0 1540336151.294 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540336151.295 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336151.296 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336151.297 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336151.298 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540336151.299 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336151.300 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336151.303 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336151.304 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540336151.305 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 (- n)) 2)) (+ (* (* +nan.0 (pow PI 2)) (/ 1 (- n))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540336151.305 * * * [misc]progress: simplifying candidates 1540336151.305 * * * * [misc]progress: [ 1 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 2 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 3 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 4 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 5 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 6 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 7 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 8 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 9 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 10 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 11 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 12 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 13 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 14 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 15 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 16 / 150 ] simplifiying candidate # 1540336151.306 * * * * [misc]progress: [ 17 / 150 ] simplifiying candidate # 1540336151.307 * * * * [misc]progress: [ 18 / 150 ] simplifiying candidate # 1540336151.307 * * * * [misc]progress: [ 19 / 150 ] simplifiying candidate # 1540336151.307 * * * * [misc]progress: [ 20 / 150 ] simplifiying candidate # 1540336151.307 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1540336151.307 * * [misc]simplify: iters left: 6 (18 enodes) 1540336151.313 * * [misc]simplify: iters left: 5 (37 enodes) 1540336151.326 * * [misc]simplify: iters left: 4 (74 enodes) 1540336151.352 * * [misc]simplify: iters left: 3 (196 enodes) 1540336151.405 * * [misc]simplify: iters left: 2 (455 enodes) 1540336151.638 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))) 1540336151.638 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))))) 1540336151.639 * * * * [misc]progress: [ 21 / 150 ] simplifiying candidate # 1540336151.639 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1540336151.639 * * [misc]simplify: iters left: 6 (18 enodes) 1540336151.645 * * [misc]simplify: iters left: 5 (37 enodes) 1540336151.657 * * [misc]simplify: iters left: 4 (74 enodes) 1540336151.685 * * [misc]simplify: iters left: 3 (196 enodes) 1540336151.773 * * [misc]simplify: iters left: 2 (455 enodes) 1540336151.977 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))) 1540336151.977 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))))) 1540336151.977 * * * * [misc]progress: [ 22 / 150 ] simplifiying candidate # 1540336151.977 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336151.977 * * [misc]simplify: iters left: 6 (18 enodes) 1540336151.983 * * [misc]simplify: iters left: 5 (33 enodes) 1540336151.988 * * [misc]simplify: iters left: 4 (64 enodes) 1540336152.000 * * [misc]simplify: iters left: 3 (164 enodes) 1540336152.058 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* PI n)))) (+ (* (/ k 2) (log (* 2 n))) (+ (* (log PI) (/ k 2)) (log (sqrt k))))) 1540336152.058 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* PI n)))) (+ (* (/ k 2) (log (* 2 n))) (+ (* (log PI) (/ k 2)) (log (sqrt k))))))) 1540336152.058 * * * * [misc]progress: [ 23 / 150 ] simplifiying candidate # 1540336152.058 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336152.059 * * [misc]simplify: iters left: 6 (17 enodes) 1540336152.064 * * [misc]simplify: iters left: 5 (29 enodes) 1540336152.071 * * [misc]simplify: iters left: 4 (40 enodes) 1540336152.083 * * [misc]simplify: iters left: 3 (70 enodes) 1540336152.106 * * [misc]simplify: iters left: 2 (199 enodes) 1540336152.251 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (+ (+ (log (sqrt k)) (* (/ k 2) (log PI))) (* (/ k 2) (log (* 2 n))))) 1540336152.251 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (+ (log (sqrt k)) (* (/ k 2) (log PI))) (* (/ k 2) (log (* 2 n))))))) 1540336152.251 * * * * [misc]progress: [ 24 / 150 ] simplifiying candidate # 1540336152.251 * * * * [misc]progress: [ 25 / 150 ] simplifiying candidate # 1540336152.252 * * * * [misc]progress: [ 26 / 150 ] simplifiying candidate # 1540336152.252 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336152.252 * * [misc]simplify: iters left: 6 (21 enodes) 1540336152.260 * * [misc]simplify: iters left: 5 (41 enodes) 1540336152.275 * * [misc]simplify: iters left: 4 (135 enodes) 1540336152.367 * [exit]simplify: Simplified to (* (* (/ (* 2 (* PI n)) (* (sqrt k) k)) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (/ (- k) 2)) 3)) 1540336152.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (* 2 (* PI n)) (* (sqrt k) k)) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (/ (- k) 2)) 3)))) 1540336152.367 * * * * [misc]progress: [ 27 / 150 ] simplifiying candidate # 1540336152.368 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336152.368 * * [misc]simplify: iters left: 6 (19 enodes) 1540336152.375 * * [misc]simplify: iters left: 5 (40 enodes) 1540336152.394 * * [misc]simplify: iters left: 4 (128 enodes) 1540336152.487 * [exit]simplify: Simplified to (/ (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) (/ k (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2))) (sqrt (* (* 2 n) PI)))) 1540336152.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) (/ k (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2))) (sqrt (* (* 2 n) PI)))))) 1540336152.487 * * * * [misc]progress: [ 28 / 150 ] simplifiying candidate # 1540336152.487 * * * * [misc]progress: [ 29 / 150 ] simplifiying candidate # 1540336152.488 * * * * [misc]progress: [ 30 / 150 ] simplifiying candidate # 1540336152.488 * * * * [misc]progress: [ 31 / 150 ] simplifiying candidate # 1540336152.488 * * * * [misc]progress: [ 32 / 150 ] simplifiying candidate # 1540336152.488 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336152.488 * * [misc]simplify: iters left: 6 (19 enodes) 1540336152.494 * * [misc]simplify: iters left: 5 (32 enodes) 1540336152.504 * * [misc]simplify: iters left: 4 (45 enodes) 1540336152.516 * * [misc]simplify: iters left: 3 (49 enodes) 1540336152.528 * * [misc]simplify: iters left: 2 (52 enodes) 1540336152.898 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))))) 1540336152.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336152.898 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336152.898 * * [misc]simplify: iters left: 6 (17 enodes) 1540336152.904 * * [misc]simplify: iters left: 5 (24 enodes) 1540336152.910 * * [misc]simplify: iters left: 4 (28 enodes) 1540336152.914 * * [misc]simplify: iters left: 3 (29 enodes) 1540336152.918 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540336152.918 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1540336152.918 * * * * [misc]progress: [ 33 / 150 ] simplifiying candidate # 1540336152.918 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336152.918 * * [misc]simplify: iters left: 6 (18 enodes) 1540336152.921 * * [misc]simplify: iters left: 5 (27 enodes) 1540336152.924 * * [misc]simplify: iters left: 4 (33 enodes) 1540336152.929 * * [misc]simplify: iters left: 3 (35 enodes) 1540336152.933 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1540336152.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336152.933 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336152.933 * * [misc]simplify: iters left: 6 (17 enodes) 1540336152.936 * * [misc]simplify: iters left: 5 (24 enodes) 1540336152.939 * * [misc]simplify: iters left: 4 (28 enodes) 1540336152.946 * * [misc]simplify: iters left: 3 (29 enodes) 1540336152.953 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540336152.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1540336152.953 * * * * [misc]progress: [ 34 / 150 ] simplifiying candidate # 1540336152.953 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540336152.953 * * [misc]simplify: iters left: 6 (17 enodes) 1540336152.959 * * [misc]simplify: iters left: 5 (29 enodes) 1540336152.967 * * [misc]simplify: iters left: 4 (50 enodes) 1540336152.983 * * [misc]simplify: iters left: 3 (92 enodes) 1540336153.018 * * [misc]simplify: iters left: 2 (141 enodes) 1540336153.062 * * [misc]simplify: iters left: 1 (170 enodes) 1540336153.091 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540336153.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336153.092 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336153.092 * * [misc]simplify: iters left: 6 (16 enodes) 1540336153.095 * * [misc]simplify: iters left: 5 (23 enodes) 1540336153.098 * * [misc]simplify: iters left: 4 (32 enodes) 1540336153.103 * * [misc]simplify: iters left: 3 (35 enodes) 1540336153.107 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540336153.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1540336153.107 * * * * [misc]progress: [ 35 / 150 ] simplifiying candidate # 1540336153.107 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336153.107 * * [misc]simplify: iters left: 6 (21 enodes) 1540336153.110 * * [misc]simplify: iters left: 5 (38 enodes) 1540336153.121 * * [misc]simplify: iters left: 4 (73 enodes) 1540336153.146 * * [misc]simplify: iters left: 3 (144 enodes) 1540336153.208 * * [misc]simplify: iters left: 2 (276 enodes) 1540336153.367 * * [misc]simplify: iters left: 1 (386 enodes) 1540336153.553 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k))))) 1540336153.553 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336153.553 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336153.553 * * [misc]simplify: iters left: 6 (18 enodes) 1540336153.559 * * [misc]simplify: iters left: 5 (27 enodes) 1540336153.566 * * [misc]simplify: iters left: 4 (34 enodes) 1540336153.575 * * [misc]simplify: iters left: 3 (37 enodes) 1540336153.584 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540336153.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1540336153.584 * * * * [misc]progress: [ 36 / 150 ] simplifiying candidate # 1540336153.584 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336153.584 * * [misc]simplify: iters left: 6 (20 enodes) 1540336153.591 * * [misc]simplify: iters left: 5 (33 enodes) 1540336153.600 * * [misc]simplify: iters left: 4 (52 enodes) 1540336153.617 * * [misc]simplify: iters left: 3 (95 enodes) 1540336153.653 * * [misc]simplify: iters left: 2 (152 enodes) 1540336153.682 * * [misc]simplify: iters left: 1 (185 enodes) 1540336153.738 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ (- k) 2))))) 1540336153.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ (- k) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336153.739 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336153.739 * * [misc]simplify: iters left: 6 (18 enodes) 1540336153.744 * * [misc]simplify: iters left: 5 (27 enodes) 1540336153.752 * * [misc]simplify: iters left: 4 (34 enodes) 1540336153.760 * * [misc]simplify: iters left: 3 (37 enodes) 1540336153.769 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540336153.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1540336153.770 * * * * [misc]progress: [ 37 / 150 ] simplifiying candidate # 1540336153.770 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540336153.770 * * [misc]simplify: iters left: 6 (15 enodes) 1540336153.775 * * [misc]simplify: iters left: 5 (27 enodes) 1540336153.782 * * [misc]simplify: iters left: 4 (51 enodes) 1540336153.789 * * [misc]simplify: iters left: 3 (78 enodes) 1540336153.801 * * [misc]simplify: iters left: 2 (149 enodes) 1540336153.842 * * [misc]simplify: iters left: 1 (239 enodes) 1540336153.875 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) 1540336153.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336153.876 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336153.876 * * [misc]simplify: iters left: 6 (17 enodes) 1540336153.878 * * [misc]simplify: iters left: 5 (26 enodes) 1540336153.881 * * [misc]simplify: iters left: 4 (33 enodes) 1540336153.886 * * [misc]simplify: iters left: 3 (36 enodes) 1540336153.891 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540336153.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1540336153.891 * * * * [misc]progress: [ 38 / 150 ] simplifiying candidate # 1540336153.891 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540336153.891 * * [misc]simplify: iters left: 6 (16 enodes) 1540336153.894 * * [misc]simplify: iters left: 5 (26 enodes) 1540336153.897 * * [misc]simplify: iters left: 4 (39 enodes) 1540336153.902 * * [misc]simplify: iters left: 3 (52 enodes) 1540336153.915 * * [misc]simplify: iters left: 2 (64 enodes) 1540336153.931 * * [misc]simplify: iters left: 1 (70 enodes) 1540336153.950 * [exit]simplify: Simplified to (* (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) 1540336153.950 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336153.950 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336153.950 * * [misc]simplify: iters left: 6 (16 enodes) 1540336153.955 * * [misc]simplify: iters left: 5 (23 enodes) 1540336153.962 * * [misc]simplify: iters left: 4 (32 enodes) 1540336153.970 * * [misc]simplify: iters left: 3 (35 enodes) 1540336153.979 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540336153.979 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1540336153.979 * * * * [misc]progress: [ 39 / 150 ] simplifiying candidate # 1540336153.979 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336153.980 * * [misc]simplify: iters left: 6 (20 enodes) 1540336153.986 * * [misc]simplify: iters left: 5 (33 enodes) 1540336153.995 * * [misc]simplify: iters left: 4 (48 enodes) 1540336154.009 * * [misc]simplify: iters left: 3 (76 enodes) 1540336154.033 * * [misc]simplify: iters left: 2 (115 enodes) 1540336154.073 * * [misc]simplify: iters left: 1 (148 enodes) 1540336154.106 * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (sqrt (sqrt k))) 1540336154.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336154.106 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336154.106 * * [misc]simplify: iters left: 6 (18 enodes) 1540336154.109 * * [misc]simplify: iters left: 5 (27 enodes) 1540336154.112 * * [misc]simplify: iters left: 4 (34 enodes) 1540336154.116 * * [misc]simplify: iters left: 3 (37 enodes) 1540336154.121 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540336154.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1540336154.121 * * * * [misc]progress: [ 40 / 150 ] simplifiying candidate # 1540336154.121 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336154.121 * * [misc]simplify: iters left: 6 (19 enodes) 1540336154.127 * * [misc]simplify: iters left: 5 (30 enodes) 1540336154.135 * * [misc]simplify: iters left: 4 (41 enodes) 1540336154.147 * * [misc]simplify: iters left: 3 (54 enodes) 1540336154.160 * * [misc]simplify: iters left: 2 (66 enodes) 1540336154.177 * * [misc]simplify: iters left: 1 (72 enodes) 1540336154.196 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1540336154.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336154.196 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336154.197 * * [misc]simplify: iters left: 6 (18 enodes) 1540336154.202 * * [misc]simplify: iters left: 5 (27 enodes) 1540336154.209 * * [misc]simplify: iters left: 4 (34 enodes) 1540336154.218 * * [misc]simplify: iters left: 3 (37 enodes) 1540336154.227 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540336154.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1540336154.227 * * * * [misc]progress: [ 41 / 150 ] simplifiying candidate # 1540336154.228 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) 1)) 1540336154.228 * * [misc]simplify: iters left: 6 (14 enodes) 1540336154.232 * * [misc]simplify: iters left: 5 (24 enodes) 1540336154.239 * * [misc]simplify: iters left: 4 (38 enodes) 1540336154.250 * * [misc]simplify: iters left: 3 (50 enodes) 1540336154.258 * * [misc]simplify: iters left: 2 (51 enodes) 1540336154.264 * * [misc]simplify: iters left: 1 (57 enodes) 1540336154.270 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) 1540336154.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336154.270 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336154.270 * * [misc]simplify: iters left: 6 (17 enodes) 1540336154.273 * * [misc]simplify: iters left: 5 (26 enodes) 1540336154.276 * * [misc]simplify: iters left: 4 (33 enodes) 1540336154.280 * * [misc]simplify: iters left: 3 (36 enodes) 1540336154.285 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540336154.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1540336154.285 * * * * [misc]progress: [ 42 / 150 ] simplifiying candidate # 1540336154.285 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (pow PI (- (/ k 2))))) 1540336154.285 * * [misc]simplify: iters left: 6 (15 enodes) 1540336154.287 * * [misc]simplify: iters left: 5 (27 enodes) 1540336154.291 * * [misc]simplify: iters left: 4 (40 enodes) 1540336154.297 * * [misc]simplify: iters left: 3 (56 enodes) 1540336154.305 * * [misc]simplify: iters left: 2 (79 enodes) 1540336154.328 * * [misc]simplify: iters left: 1 (158 enodes) 1540336154.397 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1540336154.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540336154.397 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540336154.397 * * [misc]simplify: iters left: 6 (15 enodes) 1540336154.399 * * [misc]simplify: iters left: 5 (22 enodes) 1540336154.403 * * [misc]simplify: iters left: 4 (31 enodes) 1540336154.407 * * [misc]simplify: iters left: 3 (34 enodes) 1540336154.411 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540336154.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540336154.411 * * * * [misc]progress: [ 43 / 150 ] simplifiying candidate # 1540336154.411 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336154.411 * * [misc]simplify: iters left: 6 (19 enodes) 1540336154.414 * * [misc]simplify: iters left: 5 (34 enodes) 1540336154.419 * * [misc]simplify: iters left: 4 (49 enodes) 1540336154.433 * * [misc]simplify: iters left: 3 (78 enodes) 1540336154.460 * * [misc]simplify: iters left: 2 (186 enodes) 1540336154.623 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1540336154.623 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336154.623 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336154.623 * * [misc]simplify: iters left: 6 (17 enodes) 1540336154.626 * * [misc]simplify: iters left: 5 (26 enodes) 1540336154.629 * * [misc]simplify: iters left: 4 (33 enodes) 1540336154.633 * * [misc]simplify: iters left: 3 (36 enodes) 1540336154.637 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540336154.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1540336154.637 * * * * [misc]progress: [ 44 / 150 ] simplifiying candidate # 1540336154.638 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336154.638 * * [misc]simplify: iters left: 6 (18 enodes) 1540336154.640 * * [misc]simplify: iters left: 5 (31 enodes) 1540336154.646 * * [misc]simplify: iters left: 4 (42 enodes) 1540336154.657 * * [misc]simplify: iters left: 3 (58 enodes) 1540336154.673 * * [misc]simplify: iters left: 2 (81 enodes) 1540336154.688 * * [misc]simplify: iters left: 1 (143 enodes) 1540336154.716 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1540336154.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336154.716 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336154.716 * * [misc]simplify: iters left: 6 (17 enodes) 1540336154.719 * * [misc]simplify: iters left: 5 (26 enodes) 1540336154.723 * * [misc]simplify: iters left: 4 (33 enodes) 1540336154.727 * * [misc]simplify: iters left: 3 (36 enodes) 1540336154.731 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540336154.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1540336154.731 * * * * [misc]progress: [ 45 / 150 ] simplifiying candidate # 1540336154.732 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 1)) 1540336154.732 * * [misc]simplify: iters left: 6 (11 enodes) 1540336154.735 * * [misc]simplify: iters left: 5 (19 enodes) 1540336154.740 * * [misc]simplify: iters left: 4 (25 enodes) 1540336154.747 * * [misc]simplify: iters left: 3 (34 enodes) 1540336154.754 * * [misc]simplify: iters left: 2 (46 enodes) 1540336154.766 * * [misc]simplify: iters left: 1 (74 enodes) 1540336154.786 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1540336154.786 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336154.787 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336154.787 * * [misc]simplify: iters left: 6 (16 enodes) 1540336154.792 * * [misc]simplify: iters left: 5 (25 enodes) 1540336154.798 * * [misc]simplify: iters left: 4 (32 enodes) 1540336154.807 * * [misc]simplify: iters left: 3 (35 enodes) 1540336154.815 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540336154.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1540336154.815 * * * * [misc]progress: [ 46 / 150 ] simplifiying candidate # 1540336154.815 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1) 1540336154.815 * * [misc]simplify: iters left: 6 (10 enodes) 1540336154.818 * * [misc]simplify: iters left: 5 (18 enodes) 1540336154.824 * * [misc]simplify: iters left: 4 (30 enodes) 1540336154.832 * * [misc]simplify: iters left: 3 (33 enodes) 1540336154.838 * * [misc]simplify: iters left: 2 (38 enodes) 1540336154.847 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) 1540336154.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336154.847 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336154.848 * * [misc]simplify: iters left: 6 (16 enodes) 1540336154.852 * * [misc]simplify: iters left: 5 (25 enodes) 1540336154.859 * * [misc]simplify: iters left: 4 (32 enodes) 1540336154.867 * * [misc]simplify: iters left: 3 (35 enodes) 1540336154.876 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540336154.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1540336154.876 * * * * [misc]progress: [ 47 / 150 ] simplifiying candidate # 1540336154.877 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) 1540336154.877 * * [misc]simplify: iters left: 6 (11 enodes) 1540336154.880 * * [misc]simplify: iters left: 5 (17 enodes) 1540336154.885 * * [misc]simplify: iters left: 4 (25 enodes) 1540336154.890 * * [misc]simplify: iters left: 3 (27 enodes) 1540336154.893 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) 1540336154.893 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336154.893 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336154.893 * * [misc]simplify: iters left: 6 (16 enodes) 1540336154.896 * * [misc]simplify: iters left: 5 (27 enodes) 1540336154.899 * * [misc]simplify: iters left: 4 (34 enodes) 1540336154.904 * * [misc]simplify: iters left: 3 (45 enodes) 1540336154.910 * * [misc]simplify: iters left: 2 (47 enodes) 1540336154.914 * * [misc]simplify: iters left: 1 (52 enodes) 1540336154.919 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt (* n (* PI 2))))) 1540336154.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) (* (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt (* n (* PI 2))))))) 1540336154.919 * * * * [misc]progress: [ 48 / 150 ] simplifiying candidate # 1540336154.920 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) 1)) 1540336154.920 * * [misc]simplify: iters left: 6 (13 enodes) 1540336154.922 * * [misc]simplify: iters left: 5 (23 enodes) 1540336154.927 * * [misc]simplify: iters left: 4 (37 enodes) 1540336154.937 * * [misc]simplify: iters left: 3 (49 enodes) 1540336154.948 * * [misc]simplify: iters left: 2 (50 enodes) 1540336154.954 * * [misc]simplify: iters left: 1 (56 enodes) 1540336154.959 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) 1540336154.959 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1540336154.960 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540336154.960 * * [misc]simplify: iters left: 6 (13 enodes) 1540336154.962 * * [misc]simplify: iters left: 5 (18 enodes) 1540336154.964 * * [misc]simplify: iters left: 4 (22 enodes) 1540336154.967 * * [misc]simplify: iters left: 3 (24 enodes) 1540336154.970 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540336154.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1540336154.970 * * * * [misc]progress: [ 49 / 150 ] simplifiying candidate # 1540336154.970 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540336154.970 * * [misc]simplify: iters left: 6 (16 enodes) 1540336154.972 * * [misc]simplify: iters left: 5 (26 enodes) 1540336154.976 * * [misc]simplify: iters left: 4 (33 enodes) 1540336154.981 * * [misc]simplify: iters left: 3 (45 enodes) 1540336154.988 * * [misc]simplify: iters left: 2 (63 enodes) 1540336155.005 * * [misc]simplify: iters left: 1 (68 enodes) 1540336155.016 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) 1540336155.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1540336155.017 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540336155.017 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.021 * * [misc]simplify: iters left: 5 (18 enodes) 1540336155.026 * * [misc]simplify: iters left: 4 (22 enodes) 1540336155.032 * * [misc]simplify: iters left: 3 (24 enodes) 1540336155.036 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540336155.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1540336155.036 * * * * [misc]progress: [ 50 / 150 ] simplifiying candidate # 1540336155.037 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.037 * * [misc]simplify: iters left: 6 (16 enodes) 1540336155.039 * * [misc]simplify: iters left: 5 (23 enodes) 1540336155.042 * * [misc]simplify: iters left: 4 (29 enodes) 1540336155.046 * * [misc]simplify: iters left: 3 (30 enodes) 1540336155.051 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) 1540336155.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.051 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.051 * * [misc]simplify: iters left: 6 (14 enodes) 1540336155.053 * * [misc]simplify: iters left: 5 (20 enodes) 1540336155.056 * * [misc]simplify: iters left: 4 (26 enodes) 1540336155.059 * * [misc]simplify: iters left: 3 (28 enodes) 1540336155.063 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1540336155.063 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1540336155.063 * * * * [misc]progress: [ 51 / 150 ] simplifiying candidate # 1540336155.063 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.063 * * [misc]simplify: iters left: 6 (15 enodes) 1540336155.065 * * [misc]simplify: iters left: 5 (20 enodes) 1540336155.068 * * [misc]simplify: iters left: 4 (26 enodes) 1540336155.071 * * [misc]simplify: iters left: 3 (27 enodes) 1540336155.074 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540336155.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.075 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.075 * * [misc]simplify: iters left: 6 (14 enodes) 1540336155.078 * * [misc]simplify: iters left: 5 (20 enodes) 1540336155.083 * * [misc]simplify: iters left: 4 (26 enodes) 1540336155.089 * * [misc]simplify: iters left: 3 (28 enodes) 1540336155.093 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1540336155.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1540336155.093 * * * * [misc]progress: [ 52 / 150 ] simplifiying candidate # 1540336155.093 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540336155.093 * * [misc]simplify: iters left: 6 (14 enodes) 1540336155.095 * * [misc]simplify: iters left: 5 (21 enodes) 1540336155.099 * * [misc]simplify: iters left: 4 (28 enodes) 1540336155.103 * * [misc]simplify: iters left: 3 (40 enodes) 1540336155.108 * * [misc]simplify: iters left: 2 (45 enodes) 1540336155.114 * * [misc]simplify: iters left: 1 (52 enodes) 1540336155.125 * [exit]simplify: Simplified to (/ (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) 1540336155.126 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336155.126 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336155.126 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.130 * * [misc]simplify: iters left: 5 (18 enodes) 1540336155.135 * * [misc]simplify: iters left: 4 (21 enodes) 1540336155.140 * * [misc]simplify: iters left: 3 (23 enodes) 1540336155.146 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (cbrt (sqrt k)))) 1540336155.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (cbrt (sqrt k)))))) 1540336155.146 * * * * [misc]progress: [ 53 / 150 ] simplifiying candidate # 1540336155.147 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.147 * * [misc]simplify: iters left: 6 (18 enodes) 1540336155.152 * * [misc]simplify: iters left: 5 (31 enodes) 1540336155.162 * * [misc]simplify: iters left: 4 (55 enodes) 1540336155.178 * * [misc]simplify: iters left: 3 (80 enodes) 1540336155.203 * * [misc]simplify: iters left: 2 (110 enodes) 1540336155.221 * * [misc]simplify: iters left: 1 (133 enodes) 1540336155.249 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) 1540336155.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.250 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.250 * * [misc]simplify: iters left: 6 (15 enodes) 1540336155.254 * * [misc]simplify: iters left: 5 (23 enodes) 1540336155.261 * * [misc]simplify: iters left: 4 (32 enodes) 1540336155.269 * * [misc]simplify: iters left: 3 (35 enodes) 1540336155.278 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1540336155.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1540336155.278 * * * * [misc]progress: [ 54 / 150 ] simplifiying candidate # 1540336155.279 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.279 * * [misc]simplify: iters left: 6 (17 enodes) 1540336155.284 * * [misc]simplify: iters left: 5 (26 enodes) 1540336155.292 * * [misc]simplify: iters left: 4 (39 enodes) 1540336155.302 * * [misc]simplify: iters left: 3 (53 enodes) 1540336155.316 * * [misc]simplify: iters left: 2 (58 enodes) 1540336155.329 * * [misc]simplify: iters left: 1 (65 enodes) 1540336155.345 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 PI) n) (- (/ k 2)))) (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1540336155.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 PI) n) (- (/ k 2)))) (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.346 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.346 * * [misc]simplify: iters left: 6 (15 enodes) 1540336155.350 * * [misc]simplify: iters left: 5 (23 enodes) 1540336155.357 * * [misc]simplify: iters left: 4 (32 enodes) 1540336155.365 * * [misc]simplify: iters left: 3 (35 enodes) 1540336155.373 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1540336155.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1540336155.373 * * * * [misc]progress: [ 55 / 150 ] simplifiying candidate # 1540336155.374 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540336155.374 * * [misc]simplify: iters left: 6 (11 enodes) 1540336155.375 * * [misc]simplify: iters left: 5 (18 enodes) 1540336155.379 * * [misc]simplify: iters left: 4 (29 enodes) 1540336155.382 * * [misc]simplify: iters left: 3 (35 enodes) 1540336155.387 * * [misc]simplify: iters left: 2 (59 enodes) 1540336155.403 * * [misc]simplify: iters left: 1 (79 enodes) 1540336155.421 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540336155.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.422 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336155.422 * * [misc]simplify: iters left: 6 (14 enodes) 1540336155.426 * * [misc]simplify: iters left: 5 (22 enodes) 1540336155.432 * * [misc]simplify: iters left: 4 (31 enodes) 1540336155.441 * * [misc]simplify: iters left: 3 (34 enodes) 1540336155.446 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1540336155.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1540336155.446 * * * * [misc]progress: [ 56 / 150 ] simplifiying candidate # 1540336155.446 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540336155.447 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.448 * * [misc]simplify: iters left: 5 (18 enodes) 1540336155.451 * * [misc]simplify: iters left: 4 (21 enodes) 1540336155.454 * * [misc]simplify: iters left: 3 (23 enodes) 1540336155.457 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1540336155.457 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336155.457 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336155.457 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.459 * * [misc]simplify: iters left: 5 (18 enodes) 1540336155.461 * * [misc]simplify: iters left: 4 (21 enodes) 1540336155.464 * * [misc]simplify: iters left: 3 (23 enodes) 1540336155.467 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (sqrt (sqrt k)))) 1540336155.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (sqrt (sqrt k)))))) 1540336155.467 * * * * [misc]progress: [ 57 / 150 ] simplifiying candidate # 1540336155.467 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.467 * * [misc]simplify: iters left: 6 (17 enodes) 1540336155.470 * * [misc]simplify: iters left: 5 (26 enodes) 1540336155.474 * * [misc]simplify: iters left: 4 (37 enodes) 1540336155.479 * * [misc]simplify: iters left: 3 (47 enodes) 1540336155.485 * * [misc]simplify: iters left: 2 (55 enodes) 1540336155.495 * * [misc]simplify: iters left: 1 (57 enodes) 1540336155.506 * [exit]simplify: Simplified to (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1540336155.506 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.507 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.507 * * [misc]simplify: iters left: 6 (15 enodes) 1540336155.509 * * [misc]simplify: iters left: 5 (23 enodes) 1540336155.512 * * [misc]simplify: iters left: 4 (32 enodes) 1540336155.516 * * [misc]simplify: iters left: 3 (35 enodes) 1540336155.520 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540336155.521 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1540336155.521 * * * * [misc]progress: [ 58 / 150 ] simplifiying candidate # 1540336155.521 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.521 * * [misc]simplify: iters left: 6 (16 enodes) 1540336155.523 * * [misc]simplify: iters left: 5 (23 enodes) 1540336155.526 * * [misc]simplify: iters left: 4 (32 enodes) 1540336155.531 * * [misc]simplify: iters left: 3 (35 enodes) 1540336155.535 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* PI 2)) (- (/ k 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1540336155.535 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n (* PI 2)) (- (/ k 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.536 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.536 * * [misc]simplify: iters left: 6 (15 enodes) 1540336155.538 * * [misc]simplify: iters left: 5 (23 enodes) 1540336155.543 * * [misc]simplify: iters left: 4 (32 enodes) 1540336155.551 * * [misc]simplify: iters left: 3 (35 enodes) 1540336155.560 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540336155.560 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1540336155.560 * * * * [misc]progress: [ 59 / 150 ] simplifiying candidate # 1540336155.560 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) 1)) 1540336155.561 * * [misc]simplify: iters left: 6 (10 enodes) 1540336155.563 * * [misc]simplify: iters left: 5 (15 enodes) 1540336155.568 * * [misc]simplify: iters left: 4 (22 enodes) 1540336155.573 * * [misc]simplify: iters left: 3 (26 enodes) 1540336155.579 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1540336155.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.579 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336155.579 * * [misc]simplify: iters left: 6 (14 enodes) 1540336155.583 * * [misc]simplify: iters left: 5 (22 enodes) 1540336155.590 * * [misc]simplify: iters left: 4 (31 enodes) 1540336155.598 * * [misc]simplify: iters left: 3 (34 enodes) 1540336155.606 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540336155.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1540336155.606 * * * * [misc]progress: [ 60 / 150 ] simplifiying candidate # 1540336155.607 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (pow PI (- (/ k 2))))) 1540336155.607 * * [misc]simplify: iters left: 6 (12 enodes) 1540336155.611 * * [misc]simplify: iters left: 5 (19 enodes) 1540336155.615 * * [misc]simplify: iters left: 4 (22 enodes) 1540336155.622 * * [misc]simplify: iters left: 3 (32 enodes) 1540336155.630 * * [misc]simplify: iters left: 2 (34 enodes) 1540336155.636 * * [misc]simplify: iters left: 1 (39 enodes) 1540336155.645 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) 1540336155.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540336155.645 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540336155.645 * * [misc]simplify: iters left: 6 (12 enodes) 1540336155.649 * * [misc]simplify: iters left: 5 (17 enodes) 1540336155.653 * * [misc]simplify: iters left: 4 (20 enodes) 1540336155.659 * * [misc]simplify: iters left: 3 (22 enodes) 1540336155.664 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540336155.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1540336155.665 * * * * [misc]progress: [ 61 / 150 ] simplifiying candidate # 1540336155.665 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.665 * * [misc]simplify: iters left: 6 (16 enodes) 1540336155.670 * * [misc]simplify: iters left: 5 (27 enodes) 1540336155.678 * * [misc]simplify: iters left: 4 (38 enodes) 1540336155.691 * * [misc]simplify: iters left: 3 (53 enodes) 1540336155.705 * * [misc]simplify: iters left: 2 (62 enodes) 1540336155.719 * * [misc]simplify: iters left: 1 (72 enodes) 1540336155.739 * [exit]simplify: Simplified to (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) 1540336155.739 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (/ (sqrt PI) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.739 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.739 * * [misc]simplify: iters left: 6 (14 enodes) 1540336155.744 * * [misc]simplify: iters left: 5 (22 enodes) 1540336155.750 * * [misc]simplify: iters left: 4 (31 enodes) 1540336155.758 * * [misc]simplify: iters left: 3 (34 enodes) 1540336155.767 * [exit]simplify: Simplified to (* (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1540336155.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (* (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1540336155.767 * * * * [misc]progress: [ 62 / 150 ] simplifiying candidate # 1540336155.767 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.767 * * [misc]simplify: iters left: 6 (15 enodes) 1540336155.772 * * [misc]simplify: iters left: 5 (24 enodes) 1540336155.779 * * [misc]simplify: iters left: 4 (33 enodes) 1540336155.789 * * [misc]simplify: iters left: 3 (45 enodes) 1540336155.800 * * [misc]simplify: iters left: 2 (47 enodes) 1540336155.808 * * [misc]simplify: iters left: 1 (52 enodes) 1540336155.819 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) 1540336155.819 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) (/ (sqrt PI) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336155.820 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336155.820 * * [misc]simplify: iters left: 6 (14 enodes) 1540336155.824 * * [misc]simplify: iters left: 5 (22 enodes) 1540336155.832 * * [misc]simplify: iters left: 4 (31 enodes) 1540336155.840 * * [misc]simplify: iters left: 3 (34 enodes) 1540336155.848 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1540336155.848 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) (* (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1540336155.848 * * * * [misc]progress: [ 63 / 150 ] simplifiying candidate # 1540336155.849 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 1)) 1540336155.849 * * [misc]simplify: iters left: 5 (7 enodes) 1540336155.851 * * [misc]simplify: iters left: 4 (10 enodes) 1540336155.854 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540336155.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.854 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336155.854 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.858 * * [misc]simplify: iters left: 5 (21 enodes) 1540336155.864 * * [misc]simplify: iters left: 4 (30 enodes) 1540336155.872 * * [misc]simplify: iters left: 3 (34 enodes) 1540336155.881 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1540336155.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1540336155.881 * * * * [misc]progress: [ 64 / 150 ] simplifiying candidate # 1540336155.881 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) 1) 1540336155.881 * * [misc]simplify: iters left: 5 (6 enodes) 1540336155.883 * * [misc]simplify: iters left: 4 (9 enodes) 1540336155.886 * * [misc]simplify: iters left: 3 (11 enodes) 1540336155.889 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540336155.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.889 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336155.889 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.893 * * [misc]simplify: iters left: 5 (21 enodes) 1540336155.899 * * [misc]simplify: iters left: 4 (30 enodes) 1540336155.903 * * [misc]simplify: iters left: 3 (34 enodes) 1540336155.908 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1540336155.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1540336155.908 * * * * [misc]progress: [ 65 / 150 ] simplifiying candidate # 1540336155.908 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt k)) 1540336155.908 * * [misc]simplify: iters left: 5 (7 enodes) 1540336155.909 * * [misc]simplify: iters left: 4 (8 enodes) 1540336155.910 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1540336155.910 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336155.910 * [enter]simplify: Simplifying (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336155.910 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.912 * * [misc]simplify: iters left: 5 (23 enodes) 1540336155.915 * * [misc]simplify: iters left: 4 (32 enodes) 1540336155.920 * * [misc]simplify: iters left: 3 (44 enodes) 1540336155.925 * * [misc]simplify: iters left: 2 (46 enodes) 1540336155.929 * * [misc]simplify: iters left: 1 (51 enodes) 1540336155.934 * [exit]simplify: Simplified to (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)) 1540336155.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)))) 1540336155.934 * * * * [misc]progress: [ 66 / 150 ] simplifiying candidate # 1540336155.934 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) 1)) 1540336155.935 * * [misc]simplify: iters left: 5 (9 enodes) 1540336155.936 * * [misc]simplify: iters left: 4 (14 enodes) 1540336155.938 * * [misc]simplify: iters left: 3 (21 enodes) 1540336155.941 * * [misc]simplify: iters left: 2 (25 enodes) 1540336155.945 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1540336155.945 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1540336155.945 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1540336155.945 * * [misc]simplify: iters left: 6 (10 enodes) 1540336155.948 * * [misc]simplify: iters left: 5 (14 enodes) 1540336155.952 * * [misc]simplify: iters left: 4 (20 enodes) 1540336155.958 * * [misc]simplify: iters left: 3 (21 enodes) 1540336155.963 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1540336155.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1540336155.963 * * * * [misc]progress: [ 67 / 150 ] simplifiying candidate # 1540336155.964 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540336155.964 * * [misc]simplify: iters left: 6 (13 enodes) 1540336155.968 * * [misc]simplify: iters left: 5 (19 enodes) 1540336155.973 * * [misc]simplify: iters left: 4 (26 enodes) 1540336155.980 * * [misc]simplify: iters left: 3 (33 enodes) 1540336155.986 * * [misc]simplify: iters left: 2 (36 enodes) 1540336155.993 * * [misc]simplify: iters left: 1 (40 enodes) 1540336156.000 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1540336156.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1540336156.001 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1540336156.001 * * [misc]simplify: iters left: 6 (10 enodes) 1540336156.004 * * [misc]simplify: iters left: 5 (14 enodes) 1540336156.008 * * [misc]simplify: iters left: 4 (20 enodes) 1540336156.013 * * [misc]simplify: iters left: 3 (21 enodes) 1540336156.019 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1540336156.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1540336156.019 * * * * [misc]progress: [ 68 / 150 ] simplifiying candidate # 1540336156.019 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.019 * * [misc]simplify: iters left: 6 (18 enodes) 1540336156.025 * * [misc]simplify: iters left: 5 (27 enodes) 1540336156.032 * * [misc]simplify: iters left: 4 (31 enodes) 1540336156.040 * * [misc]simplify: iters left: 3 (32 enodes) 1540336156.049 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* n (* PI 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) 1540336156.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* n (* PI 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.049 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.049 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.055 * * [misc]simplify: iters left: 5 (24 enodes) 1540336156.061 * * [misc]simplify: iters left: 4 (28 enodes) 1540336156.069 * * [misc]simplify: iters left: 3 (29 enodes) 1540336156.075 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540336156.075 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1540336156.076 * * * * [misc]progress: [ 69 / 150 ] simplifiying candidate # 1540336156.076 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.076 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.081 * * [misc]simplify: iters left: 5 (24 enodes) 1540336156.089 * * [misc]simplify: iters left: 4 (28 enodes) 1540336156.096 * * [misc]simplify: iters left: 3 (29 enodes) 1540336156.103 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540336156.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.104 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.104 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.109 * * [misc]simplify: iters left: 5 (24 enodes) 1540336156.116 * * [misc]simplify: iters left: 4 (28 enodes) 1540336156.123 * * [misc]simplify: iters left: 3 (29 enodes) 1540336156.131 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1540336156.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1540336156.131 * * * * [misc]progress: [ 70 / 150 ] simplifiying candidate # 1540336156.131 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540336156.131 * * [misc]simplify: iters left: 6 (16 enodes) 1540336156.136 * * [misc]simplify: iters left: 5 (26 enodes) 1540336156.144 * * [misc]simplify: iters left: 4 (39 enodes) 1540336156.155 * * [misc]simplify: iters left: 3 (52 enodes) 1540336156.164 * * [misc]simplify: iters left: 2 (57 enodes) 1540336156.170 * * [misc]simplify: iters left: 1 (64 enodes) 1540336156.178 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540336156.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336156.178 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336156.178 * * [misc]simplify: iters left: 6 (16 enodes) 1540336156.180 * * [misc]simplify: iters left: 5 (23 enodes) 1540336156.184 * * [misc]simplify: iters left: 4 (32 enodes) 1540336156.192 * * [misc]simplify: iters left: 3 (35 enodes) 1540336156.200 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540336156.200 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1540336156.200 * * * * [misc]progress: [ 71 / 150 ] simplifiying candidate # 1540336156.200 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.200 * * [misc]simplify: iters left: 6 (20 enodes) 1540336156.203 * * [misc]simplify: iters left: 5 (35 enodes) 1540336156.209 * * [misc]simplify: iters left: 4 (57 enodes) 1540336156.218 * * [misc]simplify: iters left: 3 (84 enodes) 1540336156.241 * * [misc]simplify: iters left: 2 (116 enodes) 1540336156.273 * * [misc]simplify: iters left: 1 (139 enodes) 1540336156.319 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* 2 (* PI n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540336156.319 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* 2 (* PI n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.320 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.320 * * [misc]simplify: iters left: 6 (18 enodes) 1540336156.326 * * [misc]simplify: iters left: 5 (27 enodes) 1540336156.334 * * [misc]simplify: iters left: 4 (34 enodes) 1540336156.343 * * [misc]simplify: iters left: 3 (37 enodes) 1540336156.352 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540336156.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1540336156.352 * * * * [misc]progress: [ 72 / 150 ] simplifiying candidate # 1540336156.353 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.353 * * [misc]simplify: iters left: 6 (19 enodes) 1540336156.359 * * [misc]simplify: iters left: 5 (30 enodes) 1540336156.368 * * [misc]simplify: iters left: 4 (41 enodes) 1540336156.379 * * [misc]simplify: iters left: 3 (54 enodes) 1540336156.393 * * [misc]simplify: iters left: 2 (59 enodes) 1540336156.407 * * [misc]simplify: iters left: 1 (66 enodes) 1540336156.423 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1540336156.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.424 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.424 * * [misc]simplify: iters left: 6 (18 enodes) 1540336156.429 * * [misc]simplify: iters left: 5 (27 enodes) 1540336156.437 * * [misc]simplify: iters left: 4 (34 enodes) 1540336156.446 * * [misc]simplify: iters left: 3 (37 enodes) 1540336156.454 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1540336156.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1540336156.455 * * * * [misc]progress: [ 73 / 150 ] simplifiying candidate # 1540336156.455 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540336156.455 * * [misc]simplify: iters left: 6 (14 enodes) 1540336156.459 * * [misc]simplify: iters left: 5 (24 enodes) 1540336156.467 * * [misc]simplify: iters left: 4 (41 enodes) 1540336156.478 * * [misc]simplify: iters left: 3 (48 enodes) 1540336156.489 * * [misc]simplify: iters left: 2 (69 enodes) 1540336156.511 * * [misc]simplify: iters left: 1 (90 enodes) 1540336156.534 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336156.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.534 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336156.534 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.539 * * [misc]simplify: iters left: 5 (26 enodes) 1540336156.546 * * [misc]simplify: iters left: 4 (33 enodes) 1540336156.555 * * [misc]simplify: iters left: 3 (36 enodes) 1540336156.564 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540336156.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1540336156.564 * * * * [misc]progress: [ 74 / 150 ] simplifiying candidate # 1540336156.564 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540336156.564 * * [misc]simplify: iters left: 6 (15 enodes) 1540336156.569 * * [misc]simplify: iters left: 5 (23 enodes) 1540336156.575 * * [misc]simplify: iters left: 4 (32 enodes) 1540336156.580 * * [misc]simplify: iters left: 3 (35 enodes) 1540336156.584 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1540336156.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336156.584 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336156.584 * * [misc]simplify: iters left: 6 (16 enodes) 1540336156.587 * * [misc]simplify: iters left: 5 (23 enodes) 1540336156.590 * * [misc]simplify: iters left: 4 (32 enodes) 1540336156.594 * * [misc]simplify: iters left: 3 (35 enodes) 1540336156.598 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1540336156.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1540336156.598 * * * * [misc]progress: [ 75 / 150 ] simplifiying candidate # 1540336156.598 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.598 * * [misc]simplify: iters left: 6 (19 enodes) 1540336156.602 * * [misc]simplify: iters left: 5 (30 enodes) 1540336156.609 * * [misc]simplify: iters left: 4 (39 enodes) 1540336156.619 * * [misc]simplify: iters left: 3 (49 enodes) 1540336156.632 * * [misc]simplify: iters left: 2 (57 enodes) 1540336156.645 * * [misc]simplify: iters left: 1 (59 enodes) 1540336156.658 * [exit]simplify: Simplified to (* (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (sqrt k)))) 1540336156.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.658 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.659 * * [misc]simplify: iters left: 6 (18 enodes) 1540336156.661 * * [misc]simplify: iters left: 5 (27 enodes) 1540336156.665 * * [misc]simplify: iters left: 4 (34 enodes) 1540336156.669 * * [misc]simplify: iters left: 3 (37 enodes) 1540336156.673 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540336156.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1540336156.674 * * * * [misc]progress: [ 76 / 150 ] simplifiying candidate # 1540336156.674 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.674 * * [misc]simplify: iters left: 6 (18 enodes) 1540336156.676 * * [misc]simplify: iters left: 5 (27 enodes) 1540336156.680 * * [misc]simplify: iters left: 4 (34 enodes) 1540336156.684 * * [misc]simplify: iters left: 3 (37 enodes) 1540336156.690 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540336156.690 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.690 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.690 * * [misc]simplify: iters left: 6 (18 enodes) 1540336156.696 * * [misc]simplify: iters left: 5 (27 enodes) 1540336156.703 * * [misc]simplify: iters left: 4 (34 enodes) 1540336156.713 * * [misc]simplify: iters left: 3 (37 enodes) 1540336156.722 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1540336156.722 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1540336156.722 * * * * [misc]progress: [ 77 / 150 ] simplifiying candidate # 1540336156.722 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) 1)) 1540336156.723 * * [misc]simplify: iters left: 6 (13 enodes) 1540336156.726 * * [misc]simplify: iters left: 5 (21 enodes) 1540336156.730 * * [misc]simplify: iters left: 4 (34 enodes) 1540336156.734 * * [misc]simplify: iters left: 3 (39 enodes) 1540336156.739 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540336156.739 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.739 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336156.739 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.742 * * [misc]simplify: iters left: 5 (26 enodes) 1540336156.745 * * [misc]simplify: iters left: 4 (33 enodes) 1540336156.750 * * [misc]simplify: iters left: 3 (36 enodes) 1540336156.754 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1540336156.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1540336156.754 * * * * [misc]progress: [ 78 / 150 ] simplifiying candidate # 1540336156.754 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow PI (- (/ k 2))))) 1540336156.754 * * [misc]simplify: iters left: 6 (14 enodes) 1540336156.756 * * [misc]simplify: iters left: 5 (24 enodes) 1540336156.760 * * [misc]simplify: iters left: 4 (33 enodes) 1540336156.764 * * [misc]simplify: iters left: 3 (44 enodes) 1540336156.770 * * [misc]simplify: iters left: 2 (46 enodes) 1540336156.774 * * [misc]simplify: iters left: 1 (51 enodes) 1540336156.779 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) 1540336156.779 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540336156.780 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540336156.780 * * [misc]simplify: iters left: 6 (15 enodes) 1540336156.782 * * [misc]simplify: iters left: 5 (22 enodes) 1540336156.785 * * [misc]simplify: iters left: 4 (31 enodes) 1540336156.789 * * [misc]simplify: iters left: 3 (34 enodes) 1540336156.794 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540336156.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540336156.794 * * * * [misc]progress: [ 79 / 150 ] simplifiying candidate # 1540336156.794 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.794 * * [misc]simplify: iters left: 6 (18 enodes) 1540336156.797 * * [misc]simplify: iters left: 5 (31 enodes) 1540336156.801 * * [misc]simplify: iters left: 4 (40 enodes) 1540336156.807 * * [misc]simplify: iters left: 3 (55 enodes) 1540336156.814 * * [misc]simplify: iters left: 2 (64 enodes) 1540336156.823 * * [misc]simplify: iters left: 1 (74 enodes) 1540336156.844 * [exit]simplify: Simplified to (* (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1540336156.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.844 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.844 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.850 * * [misc]simplify: iters left: 5 (26 enodes) 1540336156.857 * * [misc]simplify: iters left: 4 (33 enodes) 1540336156.866 * * [misc]simplify: iters left: 3 (36 enodes) 1540336156.871 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540336156.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1540336156.871 * * * * [misc]progress: [ 80 / 150 ] simplifiying candidate # 1540336156.871 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.871 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.874 * * [misc]simplify: iters left: 5 (28 enodes) 1540336156.877 * * [misc]simplify: iters left: 4 (35 enodes) 1540336156.882 * * [misc]simplify: iters left: 3 (46 enodes) 1540336156.887 * * [misc]simplify: iters left: 2 (48 enodes) 1540336156.893 * * [misc]simplify: iters left: 1 (53 enodes) 1540336156.898 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1540336156.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336156.898 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336156.899 * * [misc]simplify: iters left: 6 (17 enodes) 1540336156.903 * * [misc]simplify: iters left: 5 (26 enodes) 1540336156.910 * * [misc]simplify: iters left: 4 (33 enodes) 1540336156.917 * * [misc]simplify: iters left: 3 (36 enodes) 1540336156.921 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1540336156.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1540336156.921 * * * * [misc]progress: [ 81 / 150 ] simplifiying candidate # 1540336156.921 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 1)) 1540336156.922 * * [misc]simplify: iters left: 6 (10 enodes) 1540336156.923 * * [misc]simplify: iters left: 5 (16 enodes) 1540336156.925 * * [misc]simplify: iters left: 4 (22 enodes) 1540336156.928 * * [misc]simplify: iters left: 3 (26 enodes) 1540336156.931 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1540336156.931 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.931 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336156.931 * * [misc]simplify: iters left: 6 (16 enodes) 1540336156.934 * * [misc]simplify: iters left: 5 (25 enodes) 1540336156.937 * * [misc]simplify: iters left: 4 (32 enodes) 1540336156.941 * * [misc]simplify: iters left: 3 (35 enodes) 1540336156.945 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540336156.945 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1540336156.945 * * * * [misc]progress: [ 82 / 150 ] simplifiying candidate # 1540336156.945 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1) 1540336156.945 * * [misc]simplify: iters left: 6 (9 enodes) 1540336156.947 * * [misc]simplify: iters left: 5 (15 enodes) 1540336156.949 * * [misc]simplify: iters left: 4 (23 enodes) 1540336156.952 * * [misc]simplify: iters left: 3 (24 enodes) 1540336156.954 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1540336156.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.954 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336156.954 * * [misc]simplify: iters left: 6 (16 enodes) 1540336156.957 * * [misc]simplify: iters left: 5 (25 enodes) 1540336156.961 * * [misc]simplify: iters left: 4 (32 enodes) 1540336156.969 * * [misc]simplify: iters left: 3 (35 enodes) 1540336156.977 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1540336156.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1540336156.977 * * * * [misc]progress: [ 83 / 150 ] simplifiying candidate # 1540336156.978 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1540336156.978 * * [misc]simplify: iters left: 6 (10 enodes) 1540336156.981 * * [misc]simplify: iters left: 5 (14 enodes) 1540336156.985 * * [misc]simplify: iters left: 4 (20 enodes) 1540336156.991 * * [misc]simplify: iters left: 3 (22 enodes) 1540336156.996 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540336156.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336156.996 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336156.996 * * [misc]simplify: iters left: 6 (16 enodes) 1540336156.998 * * [misc]simplify: iters left: 5 (27 enodes) 1540336157.002 * * [misc]simplify: iters left: 4 (34 enodes) 1540336157.007 * * [misc]simplify: iters left: 3 (45 enodes) 1540336157.012 * * [misc]simplify: iters left: 2 (47 enodes) 1540336157.016 * * [misc]simplify: iters left: 1 (52 enodes) 1540336157.022 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt (* n (* PI 2))))) 1540336157.022 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) (* (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt (* n (* PI 2))))))) 1540336157.022 * * * * [misc]progress: [ 84 / 150 ] simplifiying candidate # 1540336157.022 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) 1)) 1540336157.022 * * [misc]simplify: iters left: 6 (12 enodes) 1540336157.024 * * [misc]simplify: iters left: 5 (20 enodes) 1540336157.030 * * [misc]simplify: iters left: 4 (33 enodes) 1540336157.038 * * [misc]simplify: iters left: 3 (38 enodes) 1540336157.046 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) 1540336157.046 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1540336157.046 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540336157.046 * * [misc]simplify: iters left: 6 (13 enodes) 1540336157.051 * * [misc]simplify: iters left: 5 (18 enodes) 1540336157.056 * * [misc]simplify: iters left: 4 (22 enodes) 1540336157.062 * * [misc]simplify: iters left: 3 (24 enodes) 1540336157.068 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540336157.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1540336157.068 * * * * [misc]progress: [ 85 / 150 ] simplifiying candidate # 1540336157.069 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540336157.069 * * [misc]simplify: iters left: 6 (15 enodes) 1540336157.073 * * [misc]simplify: iters left: 5 (23 enodes) 1540336157.080 * * [misc]simplify: iters left: 4 (28 enodes) 1540336157.087 * * [misc]simplify: iters left: 3 (35 enodes) 1540336157.094 * * [misc]simplify: iters left: 2 (38 enodes) 1540336157.100 * * [misc]simplify: iters left: 1 (42 enodes) 1540336157.110 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540336157.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1540336157.110 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1540336157.110 * * [misc]simplify: iters left: 6 (13 enodes) 1540336157.114 * * [misc]simplify: iters left: 5 (18 enodes) 1540336157.119 * * [misc]simplify: iters left: 4 (22 enodes) 1540336157.125 * * [misc]simplify: iters left: 3 (24 enodes) 1540336157.131 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1540336157.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1540336157.131 * * * * [misc]progress: [ 86 / 150 ] simplifiying candidate # 1540336157.131 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336157.131 * * [misc]simplify: iters left: 6 (15 enodes) 1540336157.136 * * [misc]simplify: iters left: 5 (25 enodes) 1540336157.143 * * [misc]simplify: iters left: 4 (31 enodes) 1540336157.151 * * [misc]simplify: iters left: 3 (33 enodes) 1540336157.156 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))))) 1540336157.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336157.156 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.156 * * [misc]simplify: iters left: 6 (16 enodes) 1540336157.158 * * [misc]simplify: iters left: 5 (23 enodes) 1540336157.161 * * [misc]simplify: iters left: 4 (27 enodes) 1540336157.164 * * [misc]simplify: iters left: 3 (28 enodes) 1540336157.168 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1540336157.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1540336157.168 * * * * [misc]progress: [ 87 / 150 ] simplifiying candidate # 1540336157.168 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.168 * * [misc]simplify: iters left: 6 (14 enodes) 1540336157.170 * * [misc]simplify: iters left: 5 (22 enodes) 1540336157.173 * * [misc]simplify: iters left: 4 (28 enodes) 1540336157.176 * * [misc]simplify: iters left: 3 (29 enodes) 1540336157.181 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1540336157.181 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336157.181 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.181 * * [misc]simplify: iters left: 6 (16 enodes) 1540336157.186 * * [misc]simplify: iters left: 5 (23 enodes) 1540336157.192 * * [misc]simplify: iters left: 4 (27 enodes) 1540336157.199 * * [misc]simplify: iters left: 3 (28 enodes) 1540336157.206 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1540336157.207 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1540336157.207 * * * * [misc]progress: [ 88 / 150 ] simplifiying candidate # 1540336157.207 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1540336157.207 * * [misc]simplify: iters left: 6 (12 enodes) 1540336157.211 * * [misc]simplify: iters left: 5 (20 enodes) 1540336157.214 * * [misc]simplify: iters left: 4 (27 enodes) 1540336157.218 * * [misc]simplify: iters left: 3 (47 enodes) 1540336157.227 * * [misc]simplify: iters left: 2 (86 enodes) 1540336157.240 * * [misc]simplify: iters left: 1 (175 enodes) 1540336157.295 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336157.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336157.295 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336157.295 * * [misc]simplify: iters left: 6 (15 enodes) 1540336157.297 * * [misc]simplify: iters left: 5 (22 enodes) 1540336157.300 * * [misc]simplify: iters left: 4 (31 enodes) 1540336157.306 * * [misc]simplify: iters left: 3 (34 enodes) 1540336157.313 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1540336157.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1540336157.313 * * * * [misc]progress: [ 89 / 150 ] simplifiying candidate # 1540336157.313 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336157.313 * * [misc]simplify: iters left: 6 (17 enodes) 1540336157.320 * * [misc]simplify: iters left: 5 (33 enodes) 1540336157.329 * * [misc]simplify: iters left: 4 (57 enodes) 1540336157.346 * * [misc]simplify: iters left: 3 (78 enodes) 1540336157.373 * * [misc]simplify: iters left: 2 (177 enodes) 1540336157.444 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) 1540336157.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336157.444 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.444 * * [misc]simplify: iters left: 6 (17 enodes) 1540336157.449 * * [misc]simplify: iters left: 5 (26 enodes) 1540336157.456 * * [misc]simplify: iters left: 4 (33 enodes) 1540336157.465 * * [misc]simplify: iters left: 3 (36 enodes) 1540336157.473 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1540336157.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1540336157.473 * * * * [misc]progress: [ 90 / 150 ] simplifiying candidate # 1540336157.473 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.473 * * [misc]simplify: iters left: 6 (16 enodes) 1540336157.476 * * [misc]simplify: iters left: 5 (28 enodes) 1540336157.479 * * [misc]simplify: iters left: 4 (41 enodes) 1540336157.485 * * [misc]simplify: iters left: 3 (62 enodes) 1540336157.495 * * [misc]simplify: iters left: 2 (102 enodes) 1540336157.527 * * [misc]simplify: iters left: 1 (194 enodes) 1540336157.618 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336157.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336157.618 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.619 * * [misc]simplify: iters left: 6 (17 enodes) 1540336157.624 * * [misc]simplify: iters left: 5 (26 enodes) 1540336157.631 * * [misc]simplify: iters left: 4 (33 enodes) 1540336157.639 * * [misc]simplify: iters left: 3 (36 enodes) 1540336157.649 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1540336157.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1540336157.649 * * * * [misc]progress: [ 91 / 150 ] simplifiying candidate # 1540336157.649 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540336157.649 * * [misc]simplify: iters left: 6 (7 enodes) 1540336157.650 * * [misc]simplify: iters left: 5 (13 enodes) 1540336157.652 * * [misc]simplify: iters left: 4 (22 enodes) 1540336157.655 * * [misc]simplify: iters left: 3 (24 enodes) 1540336157.657 * * [misc]simplify: iters left: 2 (29 enodes) 1540336157.660 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540336157.660 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336157.661 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336157.661 * * [misc]simplify: iters left: 6 (16 enodes) 1540336157.663 * * [misc]simplify: iters left: 5 (25 enodes) 1540336157.666 * * [misc]simplify: iters left: 4 (32 enodes) 1540336157.671 * * [misc]simplify: iters left: 3 (35 enodes) 1540336157.675 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1540336157.675 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (cbrt (sqrt k))))) 1540336157.675 * * * * [misc]progress: [ 92 / 150 ] simplifiying candidate # 1540336157.675 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1540336157.675 * * [misc]simplify: iters left: 6 (11 enodes) 1540336157.676 * * [misc]simplify: iters left: 5 (17 enodes) 1540336157.679 * * [misc]simplify: iters left: 4 (20 enodes) 1540336157.683 * * [misc]simplify: iters left: 3 (28 enodes) 1540336157.692 * * [misc]simplify: iters left: 2 (36 enodes) 1540336157.700 * * [misc]simplify: iters left: 1 (46 enodes) 1540336157.711 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1540336157.711 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540336157.711 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540336157.711 * * [misc]simplify: iters left: 6 (15 enodes) 1540336157.716 * * [misc]simplify: iters left: 5 (22 enodes) 1540336157.722 * * [misc]simplify: iters left: 4 (31 enodes) 1540336157.730 * * [misc]simplify: iters left: 3 (34 enodes) 1540336157.739 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1540336157.739 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1540336157.739 * * * * [misc]progress: [ 93 / 150 ] simplifiying candidate # 1540336157.739 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336157.739 * * [misc]simplify: iters left: 6 (16 enodes) 1540336157.744 * * [misc]simplify: iters left: 5 (28 enodes) 1540336157.750 * * [misc]simplify: iters left: 4 (39 enodes) 1540336157.761 * * [misc]simplify: iters left: 3 (51 enodes) 1540336157.774 * * [misc]simplify: iters left: 2 (77 enodes) 1540336157.797 * * [misc]simplify: iters left: 1 (127 enodes) 1540336157.850 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1540336157.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336157.850 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.851 * * [misc]simplify: iters left: 6 (17 enodes) 1540336157.855 * * [misc]simplify: iters left: 5 (26 enodes) 1540336157.862 * * [misc]simplify: iters left: 4 (33 enodes) 1540336157.870 * * [misc]simplify: iters left: 3 (36 enodes) 1540336157.878 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1540336157.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1540336157.878 * * * * [misc]progress: [ 94 / 150 ] simplifiying candidate # 1540336157.878 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.879 * * [misc]simplify: iters left: 6 (15 enodes) 1540336157.883 * * [misc]simplify: iters left: 5 (25 enodes) 1540336157.888 * * [misc]simplify: iters left: 4 (34 enodes) 1540336157.894 * * [misc]simplify: iters left: 3 (43 enodes) 1540336157.900 * * [misc]simplify: iters left: 2 (51 enodes) 1540336157.905 * * [misc]simplify: iters left: 1 (61 enodes) 1540336157.913 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1540336157.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336157.913 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336157.913 * * [misc]simplify: iters left: 6 (17 enodes) 1540336157.916 * * [misc]simplify: iters left: 5 (26 enodes) 1540336157.920 * * [misc]simplify: iters left: 4 (33 enodes) 1540336157.924 * * [misc]simplify: iters left: 3 (36 enodes) 1540336157.928 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1540336157.928 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1540336157.928 * * * * [misc]progress: [ 95 / 150 ] simplifiying candidate # 1540336157.928 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540336157.928 * * [misc]simplify: iters left: 6 (6 enodes) 1540336157.929 * * [misc]simplify: iters left: 5 (10 enodes) 1540336157.931 * * [misc]simplify: iters left: 4 (16 enodes) 1540336157.935 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540336157.935 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336157.935 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336157.935 * * [misc]simplify: iters left: 6 (16 enodes) 1540336157.940 * * [misc]simplify: iters left: 5 (25 enodes) 1540336157.945 * * [misc]simplify: iters left: 4 (32 enodes) 1540336157.950 * * [misc]simplify: iters left: 3 (35 enodes) 1540336157.954 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1540336157.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (sqrt (sqrt k))))) 1540336157.954 * * * * [misc]progress: [ 96 / 150 ] simplifiying candidate # 1540336157.954 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI (- (/ k 2))))) 1540336157.954 * * [misc]simplify: iters left: 6 (9 enodes) 1540336157.956 * * [misc]simplify: iters left: 5 (15 enodes) 1540336157.958 * * [misc]simplify: iters left: 4 (16 enodes) 1540336157.960 * * [misc]simplify: iters left: 3 (20 enodes) 1540336157.963 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1540336157.963 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540336157.963 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540336157.963 * * [misc]simplify: iters left: 6 (14 enodes) 1540336157.965 * * [misc]simplify: iters left: 5 (21 enodes) 1540336157.968 * * [misc]simplify: iters left: 4 (30 enodes) 1540336157.972 * * [misc]simplify: iters left: 3 (33 enodes) 1540336157.977 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))) 1540336157.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))))) 1540336157.977 * * * * [misc]progress: [ 97 / 150 ] simplifiying candidate # 1540336157.977 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336157.977 * * [misc]simplify: iters left: 6 (14 enodes) 1540336157.980 * * [misc]simplify: iters left: 5 (26 enodes) 1540336157.986 * * [misc]simplify: iters left: 4 (33 enodes) 1540336157.994 * * [misc]simplify: iters left: 3 (40 enodes) 1540336158.002 * * [misc]simplify: iters left: 2 (42 enodes) 1540336158.010 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) 1540336158.010 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336158.010 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.010 * * [misc]simplify: iters left: 6 (16 enodes) 1540336158.015 * * [misc]simplify: iters left: 5 (25 enodes) 1540336158.021 * * [misc]simplify: iters left: 4 (32 enodes) 1540336158.030 * * [misc]simplify: iters left: 3 (35 enodes) 1540336158.037 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) 1540336158.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))))) 1540336158.037 * * * * [misc]progress: [ 98 / 150 ] simplifiying candidate # 1540336158.037 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.037 * * [misc]simplify: iters left: 6 (13 enodes) 1540336158.039 * * [misc]simplify: iters left: 5 (23 enodes) 1540336158.042 * * [misc]simplify: iters left: 4 (30 enodes) 1540336158.047 * * [misc]simplify: iters left: 3 (35 enodes) 1540336158.050 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) 1540336158.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1540336158.051 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.051 * * [misc]simplify: iters left: 6 (16 enodes) 1540336158.053 * * [misc]simplify: iters left: 5 (25 enodes) 1540336158.057 * * [misc]simplify: iters left: 4 (32 enodes) 1540336158.060 * * [misc]simplify: iters left: 3 (35 enodes) 1540336158.066 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (- (/ k 2))))) 1540336158.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (- (/ k 2))))))) 1540336158.066 * * * * [misc]progress: [ 99 / 150 ] simplifiying candidate # 1540336158.066 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540336158.066 * * [misc]simplify: iters left: 4 (3 enodes) 1540336158.067 * * [misc]simplify: iters left: 3 (5 enodes) 1540336158.068 * [exit]simplify: Simplified to 1 1540336158.068 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336158.068 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.069 * * [misc]simplify: iters left: 6 (15 enodes) 1540336158.073 * * [misc]simplify: iters left: 5 (24 enodes) 1540336158.080 * * [misc]simplify: iters left: 4 (31 enodes) 1540336158.090 * * [misc]simplify: iters left: 3 (34 enodes) 1540336158.099 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1540336158.099 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1540336158.099 * * * * [misc]progress: [ 100 / 150 ] simplifiying candidate # 1540336158.099 * [enter]simplify: Simplifying (/ 1 1) 1540336158.099 * * [misc]simplify: iters left: 2 (2 enodes) 1540336158.100 * * [misc]simplify: iters left: 1 (4 enodes) 1540336158.101 * [exit]simplify: Simplified to 1 1540336158.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336158.101 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.101 * * [misc]simplify: iters left: 6 (15 enodes) 1540336158.106 * * [misc]simplify: iters left: 5 (24 enodes) 1540336158.112 * * [misc]simplify: iters left: 4 (31 enodes) 1540336158.120 * * [misc]simplify: iters left: 3 (34 enodes) 1540336158.129 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1540336158.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1540336158.129 * * * * [misc]progress: [ 101 / 150 ] simplifiying candidate # 1540336158.129 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540336158.129 * * [misc]simplify: iters left: 3 (4 enodes) 1540336158.130 * * [misc]simplify: iters left: 2 (6 enodes) 1540336158.131 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540336158.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1540336158.132 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.132 * * [misc]simplify: iters left: 6 (15 enodes) 1540336158.137 * * [misc]simplify: iters left: 5 (26 enodes) 1540336158.144 * * [misc]simplify: iters left: 4 (33 enodes) 1540336158.153 * * [misc]simplify: iters left: 3 (44 enodes) 1540336158.163 * * [misc]simplify: iters left: 2 (46 enodes) 1540336158.171 * * [misc]simplify: iters left: 1 (51 enodes) 1540336158.182 * [exit]simplify: Simplified to (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) 1540336158.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))))) 1540336158.182 * * * * [misc]progress: [ 102 / 150 ] simplifiying candidate # 1540336158.183 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) 1)) 1540336158.183 * * [misc]simplify: iters left: 5 (5 enodes) 1540336158.184 * * [misc]simplify: iters left: 4 (9 enodes) 1540336158.188 * * [misc]simplify: iters left: 3 (15 enodes) 1540336158.191 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540336158.191 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1540336158.191 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1540336158.191 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.195 * * [misc]simplify: iters left: 5 (17 enodes) 1540336158.200 * * [misc]simplify: iters left: 4 (21 enodes) 1540336158.206 * * [misc]simplify: iters left: 3 (22 enodes) 1540336158.211 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1540336158.211 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1540336158.211 * * * * [misc]progress: [ 103 / 150 ] simplifiying candidate # 1540336158.211 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1540336158.211 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.215 * * [misc]simplify: iters left: 5 (19 enodes) 1540336158.220 * * [misc]simplify: iters left: 4 (25 enodes) 1540336158.227 * * [misc]simplify: iters left: 3 (32 enodes) 1540336158.233 * * [misc]simplify: iters left: 2 (33 enodes) 1540336158.240 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540336158.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1540336158.240 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1540336158.240 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.242 * * [misc]simplify: iters left: 5 (17 enodes) 1540336158.244 * * [misc]simplify: iters left: 4 (21 enodes) 1540336158.247 * * [misc]simplify: iters left: 3 (22 enodes) 1540336158.250 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1540336158.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1540336158.250 * * * * [misc]progress: [ 104 / 150 ] simplifiying candidate # 1540336158.250 * * * * [misc]progress: [ 105 / 150 ] simplifiying candidate # 1540336158.250 * * * * [misc]progress: [ 106 / 150 ] simplifiying candidate # 1540336158.250 * * * * [misc]progress: [ 107 / 150 ] simplifiying candidate # 1540336158.250 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.250 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.252 * * [misc]simplify: iters left: 5 (18 enodes) 1540336158.254 * * [misc]simplify: iters left: 4 (24 enodes) 1540336158.258 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.261 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1540336158.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))))) 1540336158.261 * * * * [misc]progress: [ 108 / 150 ] simplifiying candidate # 1540336158.261 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.261 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.263 * * [misc]simplify: iters left: 5 (18 enodes) 1540336158.265 * * [misc]simplify: iters left: 4 (24 enodes) 1540336158.268 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.272 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1540336158.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))))) 1540336158.272 * * * * [misc]progress: [ 109 / 150 ] simplifiying candidate # 1540336158.272 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540336158.272 * * [misc]simplify: iters left: 6 (10 enodes) 1540336158.274 * * [misc]simplify: iters left: 5 (13 enodes) 1540336158.275 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540336158.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540336158.275 * * * * [misc]progress: [ 110 / 150 ] simplifiying candidate # 1540336158.276 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.276 * * [misc]simplify: iters left: 6 (13 enodes) 1540336158.278 * * [misc]simplify: iters left: 5 (19 enodes) 1540336158.280 * * [misc]simplify: iters left: 4 (25 enodes) 1540336158.283 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.286 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540336158.286 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1540336158.287 * * * * [misc]progress: [ 111 / 150 ] simplifiying candidate # 1540336158.287 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.287 * * [misc]simplify: iters left: 6 (13 enodes) 1540336158.289 * * [misc]simplify: iters left: 5 (19 enodes) 1540336158.291 * * [misc]simplify: iters left: 4 (25 enodes) 1540336158.298 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.304 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540336158.305 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1540336158.305 * * * * [misc]progress: [ 112 / 150 ] simplifiying candidate # 1540336158.305 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540336158.305 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.309 * * [misc]simplify: iters left: 5 (18 enodes) 1540336158.314 * * [misc]simplify: iters left: 4 (24 enodes) 1540336158.318 * * [misc]simplify: iters left: 3 (25 enodes) 1540336158.321 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540336158.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540336158.321 * * * * [misc]progress: [ 113 / 150 ] simplifiying candidate # 1540336158.321 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540336158.321 * * [misc]simplify: iters left: 6 (10 enodes) 1540336158.322 * * [misc]simplify: iters left: 5 (13 enodes) 1540336158.325 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540336158.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540336158.325 * * * * [misc]progress: [ 114 / 150 ] simplifiying candidate # 1540336158.325 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.325 * * [misc]simplify: iters left: 6 (13 enodes) 1540336158.327 * * [misc]simplify: iters left: 5 (19 enodes) 1540336158.329 * * [misc]simplify: iters left: 4 (25 enodes) 1540336158.332 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.336 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540336158.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1540336158.336 * * * * [misc]progress: [ 115 / 150 ] simplifiying candidate # 1540336158.336 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.336 * * [misc]simplify: iters left: 6 (13 enodes) 1540336158.338 * * [misc]simplify: iters left: 5 (19 enodes) 1540336158.340 * * [misc]simplify: iters left: 4 (25 enodes) 1540336158.344 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.347 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1540336158.347 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1540336158.347 * * * * [misc]progress: [ 116 / 150 ] simplifiying candidate # 1540336158.347 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540336158.347 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.349 * * [misc]simplify: iters left: 5 (18 enodes) 1540336158.351 * * [misc]simplify: iters left: 4 (24 enodes) 1540336158.354 * * [misc]simplify: iters left: 3 (25 enodes) 1540336158.360 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540336158.360 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540336158.360 * * * * [misc]progress: [ 117 / 150 ] simplifiying candidate # 1540336158.360 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540336158.360 * * [misc]simplify: iters left: 6 (9 enodes) 1540336158.363 * * [misc]simplify: iters left: 5 (12 enodes) 1540336158.367 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540336158.367 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow PI (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1540336158.367 * * * * [misc]progress: [ 118 / 150 ] simplifiying candidate # 1540336158.367 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.367 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.369 * * [misc]simplify: iters left: 5 (18 enodes) 1540336158.371 * * [misc]simplify: iters left: 4 (24 enodes) 1540336158.374 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.378 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1540336158.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1540336158.378 * * * * [misc]progress: [ 119 / 150 ] simplifiying candidate # 1540336158.378 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1540336158.378 * * [misc]simplify: iters left: 6 (12 enodes) 1540336158.380 * * [misc]simplify: iters left: 5 (18 enodes) 1540336158.382 * * [misc]simplify: iters left: 4 (24 enodes) 1540336158.385 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.388 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1540336158.388 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1540336158.388 * * * * [misc]progress: [ 120 / 150 ] simplifiying candidate # 1540336158.389 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540336158.389 * * [misc]simplify: iters left: 6 (11 enodes) 1540336158.390 * * [misc]simplify: iters left: 5 (17 enodes) 1540336158.392 * * [misc]simplify: iters left: 4 (23 enodes) 1540336158.396 * * [misc]simplify: iters left: 3 (24 enodes) 1540336158.401 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540336158.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 1)) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540336158.402 * * * * [misc]progress: [ 121 / 150 ] simplifiying candidate # 1540336158.402 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540336158.402 * * [misc]simplify: iters left: 6 (11 enodes) 1540336158.406 * * [misc]simplify: iters left: 5 (17 enodes) 1540336158.411 * * [misc]simplify: iters left: 4 (23 enodes) 1540336158.417 * * [misc]simplify: iters left: 3 (24 enodes) 1540336158.423 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540336158.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) 1) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540336158.423 * * * * [misc]progress: [ 122 / 150 ] simplifiying candidate # 1540336158.424 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) 1540336158.424 * * [misc]simplify: iters left: 6 (11 enodes) 1540336158.427 * * [misc]simplify: iters left: 5 (19 enodes) 1540336158.432 * * [misc]simplify: iters left: 4 (25 enodes) 1540336158.439 * * [misc]simplify: iters left: 3 (26 enodes) 1540336158.445 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))) 1540336158.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))))) 1540336158.445 * * * * [misc]progress: [ 123 / 150 ] simplifiying candidate # 1540336158.445 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540336158.445 * * [misc]simplify: iters left: 5 (8 enodes) 1540336158.448 * * [misc]simplify: iters left: 4 (12 enodes) 1540336158.449 * * [misc]simplify: iters left: 3 (18 enodes) 1540336158.452 * * [misc]simplify: iters left: 2 (20 enodes) 1540336158.455 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540336158.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) 1)) (pow (* (* 2 n) PI) (/ k 2)))) 1540336158.455 * * * * [misc]progress: [ 124 / 150 ] simplifiying candidate # 1540336158.455 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540336158.455 * * [misc]simplify: iters left: 5 (8 enodes) 1540336158.456 * * [misc]simplify: iters left: 4 (12 enodes) 1540336158.458 * * [misc]simplify: iters left: 3 (18 enodes) 1540336158.460 * * [misc]simplify: iters left: 2 (20 enodes) 1540336158.462 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540336158.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) 0))) (pow (* (* 2 n) PI) (/ k 2)))) 1540336158.463 * * * * [misc]progress: [ 125 / 150 ] simplifiying candidate # 1540336158.463 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1540336158.463 * * [misc]simplify: iters left: 6 (8 enodes) 1540336158.464 * * [misc]simplify: iters left: 5 (12 enodes) 1540336158.466 * * [misc]simplify: iters left: 4 (18 enodes) 1540336158.468 * * [misc]simplify: iters left: 3 (20 enodes) 1540336158.471 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) 1540336158.471 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))))) 1540336158.471 * * * * [misc]progress: [ 126 / 150 ] simplifiying candidate # 1540336158.471 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540336158.471 * * [misc]simplify: iters left: 3 (4 enodes) 1540336158.472 * * [misc]simplify: iters left: 2 (5 enodes) 1540336158.472 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540336158.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* 2 n)) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)))) 1540336158.473 * * * * [misc]progress: [ 127 / 150 ] simplifiying candidate # 1540336158.473 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1540336158.473 * * [misc]simplify: iters left: 6 (7 enodes) 1540336158.474 * * [misc]simplify: iters left: 5 (11 enodes) 1540336158.475 * * [misc]simplify: iters left: 4 (17 enodes) 1540336158.477 * * [misc]simplify: iters left: 3 (19 enodes) 1540336158.480 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1540336158.480 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))))) 1540336158.480 * * * * [misc]progress: [ 128 / 150 ] simplifiying candidate # 1540336158.480 * * * * [misc]progress: [ 129 / 150 ] simplifiying candidate # 1540336158.480 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540336158.480 * * [misc]simplify: iters left: 5 (9 enodes) 1540336158.481 * * [misc]simplify: iters left: 4 (15 enodes) 1540336158.483 * * [misc]simplify: iters left: 3 (21 enodes) 1540336158.486 * * [misc]simplify: iters left: 2 (22 enodes) 1540336158.489 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540336158.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540336158.489 * * * * [misc]progress: [ 130 / 150 ] simplifiying candidate # 1540336158.489 * * * * [misc]progress: [ 131 / 150 ] simplifiying candidate # 1540336158.489 * * * * [misc]progress: [ 132 / 150 ] simplifiying candidate # 1540336158.489 * * * * [misc]progress: [ 133 / 150 ] simplifiying candidate # 1540336158.489 * * * * [misc]progress: [ 134 / 150 ] simplifiying candidate # 1540336158.489 * * * * [misc]progress: [ 135 / 150 ] simplifiying candidate # 1540336158.489 * * * * [misc]progress: [ 136 / 150 ] simplifiying candidate # 1540336158.489 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540336158.489 * * [misc]simplify: iters left: 3 (4 enodes) 1540336158.490 * * [misc]simplify: iters left: 2 (5 enodes) 1540336158.490 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540336158.490 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.490 * * * * [misc]progress: [ 137 / 150 ] simplifiying candidate # 1540336158.490 * * * * [misc]progress: [ 138 / 150 ] simplifiying candidate # 1540336158.491 * * * * [misc]progress: [ 139 / 150 ] simplifiying candidate # 1540336158.491 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336158.491 * * [misc]simplify: iters left: 4 (5 enodes) 1540336158.492 * * [misc]simplify: iters left: 3 (9 enodes) 1540336158.494 * * [misc]simplify: iters left: 2 (15 enodes) 1540336158.498 * * [misc]simplify: iters left: 1 (17 enodes) 1540336158.502 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336158.503 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540336158.503 * * * * [misc]progress: [ 140 / 150 ] simplifiying candidate # 1540336158.503 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336158.503 * * [misc]simplify: iters left: 4 (5 enodes) 1540336158.505 * * [misc]simplify: iters left: 3 (9 enodes) 1540336158.507 * * [misc]simplify: iters left: 2 (15 enodes) 1540336158.509 * * [misc]simplify: iters left: 1 (17 enodes) 1540336158.511 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336158.511 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540336158.511 * * * * [misc]progress: [ 141 / 150 ] simplifiying candidate # 1540336158.511 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336158.511 * * [misc]simplify: iters left: 4 (5 enodes) 1540336158.513 * * [misc]simplify: iters left: 3 (9 enodes) 1540336158.514 * * [misc]simplify: iters left: 2 (15 enodes) 1540336158.516 * * [misc]simplify: iters left: 1 (17 enodes) 1540336158.518 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336158.518 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540336158.518 * * * * [misc]progress: [ 142 / 150 ] simplifiying candidate # 1540336158.519 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336158.519 * * [misc]simplify: iters left: 4 (5 enodes) 1540336158.519 * * [misc]simplify: iters left: 3 (9 enodes) 1540336158.521 * * [misc]simplify: iters left: 2 (15 enodes) 1540336158.523 * * [misc]simplify: iters left: 1 (17 enodes) 1540336158.525 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336158.525 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.525 * * * * [misc]progress: [ 143 / 150 ] simplifiying candidate # 1540336158.525 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336158.525 * * [misc]simplify: iters left: 4 (5 enodes) 1540336158.526 * * [misc]simplify: iters left: 3 (9 enodes) 1540336158.527 * * [misc]simplify: iters left: 2 (15 enodes) 1540336158.529 * * [misc]simplify: iters left: 1 (17 enodes) 1540336158.531 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336158.531 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.531 * * * * [misc]progress: [ 144 / 150 ] simplifiying candidate # 1540336158.531 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336158.531 * * [misc]simplify: iters left: 4 (5 enodes) 1540336158.532 * * [misc]simplify: iters left: 3 (9 enodes) 1540336158.533 * * [misc]simplify: iters left: 2 (15 enodes) 1540336158.535 * * [misc]simplify: iters left: 1 (17 enodes) 1540336158.537 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336158.537 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.537 * * * * [misc]progress: [ 145 / 150 ] simplifiying candidate # 1540336158.538 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1540336158.538 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540336158.538 * * * * [misc]progress: [ 146 / 150 ] simplifiying candidate # 1540336158.538 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1540336158.538 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540336158.538 * * * * [misc]progress: [ 147 / 150 ] simplifiying candidate # 1540336158.538 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1540336158.538 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540336158.538 * * * * [misc]progress: [ 148 / 150 ] simplifiying candidate # 1540336158.538 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1540336158.538 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.538 * * * * [misc]progress: [ 149 / 150 ] simplifiying candidate # 1540336158.538 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540336158.538 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.538 * * * * [misc]progress: [ 150 / 150 ] simplifiying candidate # 1540336158.538 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540336158.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540336158.539 * * * [misc]progress: adding candidates to table 1540336160.579 * * [misc]progress: iteration 3 / 4 1540336160.579 * * * [misc]progress: picking best candidate 1540336160.661 * * * * [misc]pick: Picked # 1540336160.661 * * * [misc]progress: localizing error 1540336160.674 * * * [misc]progress: generating rewritten candidates 1540336160.674 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1540336160.685 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1540336160.689 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1540336160.694 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1540336160.695 * * * [misc]progress: generating series expansions 1540336160.695 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1540336160.696 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 n) PI)) (sqrt k)) into (* (sqrt 2) (sqrt (/ (* n PI) k))) 1540336160.696 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in (n k) around 0 1540336160.696 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in k 1540336160.696 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.696 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.696 * [misc]backup-simplify: Simplify 2 into 2 1540336160.696 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.696 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.696 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1540336160.697 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1540336160.697 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540336160.697 * [misc]taylor: Taking taylor expansion of n in k 1540336160.697 * [misc]backup-simplify: Simplify n into n 1540336160.697 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.697 * [misc]backup-simplify: Simplify PI into PI 1540336160.697 * [misc]taylor: Taking taylor expansion of k in k 1540336160.697 * [misc]backup-simplify: Simplify 0 into 0 1540336160.697 * [misc]backup-simplify: Simplify 1 into 1 1540336160.697 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540336160.697 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1540336160.697 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.697 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1540336160.697 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540336160.697 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336160.697 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.697 * [misc]backup-simplify: Simplify 2 into 2 1540336160.698 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.698 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.698 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540336160.698 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540336160.698 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.698 * [misc]taylor: Taking taylor expansion of n in n 1540336160.698 * [misc]backup-simplify: Simplify 0 into 0 1540336160.698 * [misc]backup-simplify: Simplify 1 into 1 1540336160.698 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.698 * [misc]backup-simplify: Simplify PI into PI 1540336160.698 * [misc]taylor: Taking taylor expansion of k in n 1540336160.698 * [misc]backup-simplify: Simplify k into k 1540336160.699 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336160.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336160.699 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540336160.699 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.700 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540336160.700 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540336160.700 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336160.700 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.700 * [misc]backup-simplify: Simplify 2 into 2 1540336160.700 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.700 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.700 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540336160.700 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540336160.700 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.700 * [misc]taylor: Taking taylor expansion of n in n 1540336160.700 * [misc]backup-simplify: Simplify 0 into 0 1540336160.700 * [misc]backup-simplify: Simplify 1 into 1 1540336160.700 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.700 * [misc]backup-simplify: Simplify PI into PI 1540336160.701 * [misc]taylor: Taking taylor expansion of k in n 1540336160.701 * [misc]backup-simplify: Simplify k into k 1540336160.701 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336160.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336160.702 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540336160.702 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.702 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540336160.702 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336160.702 * [misc]taylor: Taking taylor expansion of 0 in k 1540336160.702 * [misc]backup-simplify: Simplify 0 into 0 1540336160.703 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) k))) 1540336160.703 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) k))) in k 1540336160.703 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) k)) in k 1540336160.703 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.703 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.703 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) k) in k 1540336160.703 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1540336160.703 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.703 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.703 * [misc]backup-simplify: Simplify 2 into 2 1540336160.703 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.703 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.703 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.704 * [misc]backup-simplify: Simplify PI into PI 1540336160.704 * [misc]taylor: Taking taylor expansion of k in k 1540336160.704 * [misc]backup-simplify: Simplify 0 into 0 1540336160.704 * [misc]backup-simplify: Simplify 1 into 1 1540336160.704 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1540336160.705 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1540336160.705 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1540336160.706 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336160.707 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336160.707 * [misc]backup-simplify: Simplify 0 into 0 1540336160.709 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336160.709 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540336160.709 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1540336160.711 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336160.711 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) 1540336160.711 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) in k 1540336160.711 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2))) in k 1540336160.711 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.712 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.712 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (pow k 2)) in k 1540336160.712 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1540336160.712 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.712 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.712 * [misc]backup-simplify: Simplify 2 into 2 1540336160.712 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.712 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.712 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336160.712 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.712 * [misc]backup-simplify: Simplify PI into PI 1540336160.712 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540336160.712 * [misc]taylor: Taking taylor expansion of k in k 1540336160.712 * [misc]backup-simplify: Simplify 0 into 0 1540336160.712 * [misc]backup-simplify: Simplify 1 into 1 1540336160.713 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336160.713 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540336160.713 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336160.717 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1540336160.718 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336160.719 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540336160.720 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336160.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into 0 1540336160.723 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540336160.723 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.723 * [misc]backup-simplify: Simplify 0 into 0 1540336160.724 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1540336160.726 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into 0 1540336160.727 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) PI))) into 0 1540336160.727 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.727 * [misc]backup-simplify: Simplify 0 into 0 1540336160.727 * [misc]backup-simplify: Simplify 0 into 0 1540336160.729 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336160.729 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336160.730 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ PI k)) (* +nan.0 (/ (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (/ (pow PI 3) (pow k 3))) 1540336160.730 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336160.731 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) 1540336160.731 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) in k 1540336160.731 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3))) in k 1540336160.731 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.731 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.732 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 3)) (pow k 3)) in k 1540336160.732 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in k 1540336160.732 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.732 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.732 * [misc]backup-simplify: Simplify 2 into 2 1540336160.732 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.732 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.732 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540336160.732 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.732 * [misc]backup-simplify: Simplify PI into PI 1540336160.732 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540336160.732 * [misc]taylor: Taking taylor expansion of k in k 1540336160.732 * [misc]backup-simplify: Simplify 0 into 0 1540336160.732 * [misc]backup-simplify: Simplify 1 into 1 1540336160.733 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336160.733 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540336160.734 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540336160.734 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336160.734 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336160.735 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) 1) into (* (sqrt 2) (pow PI 3)) 1540336160.736 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540336160.737 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336160.739 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540336160.740 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1540336160.741 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336160.742 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1540336160.743 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540336160.743 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336160.743 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540336160.744 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1540336160.745 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336160.747 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)))) into 0 1540336160.749 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.751 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0 1540336160.751 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.751 * [misc]backup-simplify: Simplify 0 into 0 1540336160.752 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540336160.754 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336160.755 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540336160.755 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540336160.758 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.760 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0 1540336160.760 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.760 * [misc]backup-simplify: Simplify 0 into 0 1540336160.761 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)) into (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540336160.761 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (sqrt (/ 1 k))) into (* (sqrt 2) (sqrt (/ (* PI k) n))) 1540336160.762 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in (n k) around 0 1540336160.762 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in k 1540336160.762 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.762 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.762 * [misc]backup-simplify: Simplify 2 into 2 1540336160.762 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.762 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.762 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1540336160.762 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1540336160.762 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336160.762 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.762 * [misc]backup-simplify: Simplify PI into PI 1540336160.762 * [misc]taylor: Taking taylor expansion of k in k 1540336160.762 * [misc]backup-simplify: Simplify 0 into 0 1540336160.762 * [misc]backup-simplify: Simplify 1 into 1 1540336160.762 * [misc]taylor: Taking taylor expansion of n in k 1540336160.762 * [misc]backup-simplify: Simplify n into n 1540336160.763 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336160.764 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336160.764 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336160.764 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.764 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1540336160.764 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540336160.764 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336160.764 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.764 * [misc]backup-simplify: Simplify 2 into 2 1540336160.764 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.765 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.765 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540336160.765 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540336160.765 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540336160.765 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.765 * [misc]backup-simplify: Simplify PI into PI 1540336160.765 * [misc]taylor: Taking taylor expansion of k in n 1540336160.765 * [misc]backup-simplify: Simplify k into k 1540336160.765 * [misc]taylor: Taking taylor expansion of n in n 1540336160.765 * [misc]backup-simplify: Simplify 0 into 0 1540336160.765 * [misc]backup-simplify: Simplify 1 into 1 1540336160.765 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540336160.765 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540336160.765 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.765 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540336160.765 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540336160.766 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336160.766 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.766 * [misc]backup-simplify: Simplify 2 into 2 1540336160.766 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.766 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540336160.766 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540336160.766 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540336160.766 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.766 * [misc]backup-simplify: Simplify PI into PI 1540336160.766 * [misc]taylor: Taking taylor expansion of k in n 1540336160.766 * [misc]backup-simplify: Simplify k into k 1540336160.766 * [misc]taylor: Taking taylor expansion of n in n 1540336160.766 * [misc]backup-simplify: Simplify 0 into 0 1540336160.766 * [misc]backup-simplify: Simplify 1 into 1 1540336160.766 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540336160.766 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540336160.767 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.767 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540336160.767 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336160.767 * [misc]taylor: Taking taylor expansion of 0 in k 1540336160.767 * [misc]backup-simplify: Simplify 0 into 0 1540336160.767 * [misc]backup-simplify: Simplify 0 into 0 1540336160.768 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI k)))) 1540336160.768 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* PI k)))) in k 1540336160.768 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* PI k))) in k 1540336160.768 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.768 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.768 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1540336160.768 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.768 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.768 * [misc]backup-simplify: Simplify 2 into 2 1540336160.768 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.768 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.768 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336160.768 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.768 * [misc]backup-simplify: Simplify PI into PI 1540336160.768 * [misc]taylor: Taking taylor expansion of k in k 1540336160.768 * [misc]backup-simplify: Simplify 0 into 0 1540336160.768 * [misc]backup-simplify: Simplify 1 into 1 1540336160.769 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336160.769 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336160.769 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540336160.769 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.769 * [misc]backup-simplify: Simplify 0 into 0 1540336160.769 * [misc]backup-simplify: Simplify 0 into 0 1540336160.770 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1540336160.770 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1540336160.771 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1540336160.772 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336160.772 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) 1540336160.772 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1540336160.772 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1540336160.772 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.772 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.772 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1540336160.772 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.772 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.772 * [misc]backup-simplify: Simplify 2 into 2 1540336160.772 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.773 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.773 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1540336160.773 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336160.773 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.773 * [misc]backup-simplify: Simplify PI into PI 1540336160.773 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540336160.773 * [misc]taylor: Taking taylor expansion of k in k 1540336160.773 * [misc]backup-simplify: Simplify 0 into 0 1540336160.773 * [misc]backup-simplify: Simplify 1 into 1 1540336160.773 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336160.774 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1540336160.774 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336160.775 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336160.776 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336160.776 * [misc]backup-simplify: Simplify 0 into 0 1540336160.776 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1540336160.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.777 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3))) 1540336160.777 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336160.778 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) 1540336160.778 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1540336160.778 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1540336160.778 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.778 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.778 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1540336160.778 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.778 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.778 * [misc]backup-simplify: Simplify 2 into 2 1540336160.778 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.778 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.778 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1540336160.778 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540336160.778 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.778 * [misc]backup-simplify: Simplify PI into PI 1540336160.778 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540336160.778 * [misc]taylor: Taking taylor expansion of k in k 1540336160.778 * [misc]backup-simplify: Simplify 0 into 0 1540336160.778 * [misc]backup-simplify: Simplify 1 into 1 1540336160.779 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540336160.780 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336160.781 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1540336160.782 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1540336160.782 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.782 * [misc]backup-simplify: Simplify 0 into 0 1540336160.782 * [misc]backup-simplify: Simplify 0 into 0 1540336160.782 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540336160.783 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.783 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4))) 1540336160.784 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336160.785 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) 1540336160.785 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1540336160.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1540336160.785 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.785 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1540336160.785 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.785 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.785 * [misc]backup-simplify: Simplify 2 into 2 1540336160.785 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.786 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.786 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1540336160.786 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1540336160.786 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.786 * [misc]backup-simplify: Simplify PI into PI 1540336160.786 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1540336160.786 * [misc]taylor: Taking taylor expansion of k in k 1540336160.786 * [misc]backup-simplify: Simplify 0 into 0 1540336160.786 * [misc]backup-simplify: Simplify 1 into 1 1540336160.786 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336160.786 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336160.786 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540336160.787 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540336160.787 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 2))) into (* +nan.0 (* (sqrt 2) (pow PI 2))) 1540336160.788 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336160.789 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336160.790 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540336160.790 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336160.791 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336160.792 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1540336160.792 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.792 * [misc]backup-simplify: Simplify 0 into 0 1540336160.792 * [misc]backup-simplify: Simplify 0 into 0 1540336160.793 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1540336160.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.794 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5))) 1540336160.795 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336160.796 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) 1540336160.796 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1540336160.796 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1540336160.796 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.796 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.796 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1540336160.796 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.796 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.796 * [misc]backup-simplify: Simplify 2 into 2 1540336160.796 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.796 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.796 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1540336160.796 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1540336160.796 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.796 * [misc]backup-simplify: Simplify PI into PI 1540336160.796 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1540336160.796 * [misc]taylor: Taking taylor expansion of k in k 1540336160.796 * [misc]backup-simplify: Simplify 0 into 0 1540336160.796 * [misc]backup-simplify: Simplify 1 into 1 1540336160.796 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336160.797 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336160.798 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1540336160.798 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540336160.799 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540336160.799 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.799 * [misc]backup-simplify: Simplify 0 into 0 1540336160.800 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540336160.801 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336160.802 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336160.804 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1540336160.804 * [misc]backup-simplify: Simplify (- 0) into 0 1540336160.804 * [misc]backup-simplify: Simplify 0 into 0 1540336160.804 * [misc]backup-simplify: Simplify 0 into 0 1540336160.805 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1540336160.805 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.806 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6))) 1540336160.807 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336160.810 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) 1540336160.810 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1540336160.810 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1540336160.810 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.810 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.810 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1540336160.810 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336160.810 * [misc]taylor: Taking taylor expansion of 2 in k 1540336160.810 * [misc]backup-simplify: Simplify 2 into 2 1540336160.810 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.810 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.810 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1540336160.811 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1540336160.811 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.811 * [misc]backup-simplify: Simplify PI into PI 1540336160.811 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1540336160.811 * [misc]taylor: Taking taylor expansion of k in k 1540336160.811 * [misc]backup-simplify: Simplify 0 into 0 1540336160.811 * [misc]backup-simplify: Simplify 1 into 1 1540336160.811 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336160.812 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540336160.812 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336160.812 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336160.812 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1540336160.813 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540336160.814 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 3))) into (* +nan.0 (* (sqrt 2) (pow PI 3))) 1540336160.815 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336160.817 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336160.821 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540336160.822 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (sqrt (/ 1 (- k)))) into (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) 1540336160.822 * [misc]approximate: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in (n k) around 0 1540336160.822 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in k 1540336160.822 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1540336160.822 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540336160.822 * [misc]taylor: Taking taylor expansion of -2 in k 1540336160.822 * [misc]backup-simplify: Simplify -2 into -2 1540336160.822 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540336160.822 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.822 * [misc]backup-simplify: Simplify PI into PI 1540336160.822 * [misc]taylor: Taking taylor expansion of n in k 1540336160.822 * [misc]backup-simplify: Simplify n into n 1540336160.822 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336160.822 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540336160.822 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1540336160.822 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1540336160.823 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1540336160.823 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1540336160.823 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336160.823 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336160.823 * [misc]taylor: Taking taylor expansion of -1 in k 1540336160.823 * [misc]backup-simplify: Simplify -1 into -1 1540336160.823 * [misc]taylor: Taking taylor expansion of k in k 1540336160.823 * [misc]backup-simplify: Simplify 0 into 0 1540336160.823 * [misc]backup-simplify: Simplify 1 into 1 1540336160.823 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336160.823 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.824 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336160.824 * [misc]backup-simplify: Simplify (/ (sqrt (* -2 (/ PI n))) +nan.0) into (* +nan.0 (sqrt (* -2 (/ PI n)))) 1540336160.824 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 1540336160.824 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336160.824 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336160.824 * [misc]taylor: Taking taylor expansion of -2 in n 1540336160.824 * [misc]backup-simplify: Simplify -2 into -2 1540336160.824 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.824 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.824 * [misc]backup-simplify: Simplify PI into PI 1540336160.824 * [misc]taylor: Taking taylor expansion of n in n 1540336160.824 * [misc]backup-simplify: Simplify 0 into 0 1540336160.824 * [misc]backup-simplify: Simplify 1 into 1 1540336160.825 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.825 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336160.825 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.826 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336160.826 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336160.826 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336160.826 * [misc]taylor: Taking taylor expansion of -1 in n 1540336160.826 * [misc]backup-simplify: Simplify -1 into -1 1540336160.826 * [misc]taylor: Taking taylor expansion of k in n 1540336160.826 * [misc]backup-simplify: Simplify k into k 1540336160.826 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336160.826 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336160.826 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336160.826 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336160.827 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k)))) 1540336160.827 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 1540336160.827 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336160.827 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336160.827 * [misc]taylor: Taking taylor expansion of -2 in n 1540336160.827 * [misc]backup-simplify: Simplify -2 into -2 1540336160.827 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.827 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.827 * [misc]backup-simplify: Simplify PI into PI 1540336160.827 * [misc]taylor: Taking taylor expansion of n in n 1540336160.827 * [misc]backup-simplify: Simplify 0 into 0 1540336160.827 * [misc]backup-simplify: Simplify 1 into 1 1540336160.827 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.827 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336160.828 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.828 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336160.828 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336160.828 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336160.828 * [misc]taylor: Taking taylor expansion of -1 in n 1540336160.828 * [misc]backup-simplify: Simplify -1 into -1 1540336160.828 * [misc]taylor: Taking taylor expansion of k in n 1540336160.829 * [misc]backup-simplify: Simplify k into k 1540336160.829 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336160.829 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336160.829 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336160.829 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336160.829 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k)))) 1540336160.829 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ PI (sqrt (/ -1 k)))) in k 1540336160.829 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.829 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.829 * [misc]taylor: Taking taylor expansion of (/ PI (sqrt (/ -1 k))) in k 1540336160.829 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.829 * [misc]backup-simplify: Simplify PI into PI 1540336160.829 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336160.829 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336160.829 * [misc]taylor: Taking taylor expansion of -1 in k 1540336160.830 * [misc]backup-simplify: Simplify -1 into -1 1540336160.830 * [misc]taylor: Taking taylor expansion of k in k 1540336160.830 * [misc]backup-simplify: Simplify 0 into 0 1540336160.830 * [misc]backup-simplify: Simplify 1 into 1 1540336160.830 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336160.830 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.830 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336160.831 * [misc]backup-simplify: Simplify (/ PI +nan.0) into (* +nan.0 PI) 1540336160.831 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 PI)) into (* +nan.0 PI) 1540336160.832 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540336160.833 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336160.833 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336160.835 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336160.836 * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow PI 2)) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ PI (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k))))) 1540336160.836 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k))))) in k 1540336160.836 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k)))) in k 1540336160.836 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336160.836 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336160.836 * [misc]taylor: Taking taylor expansion of (/ (pow PI 2) (sqrt (/ -1 k))) in k 1540336160.836 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336160.836 * [misc]taylor: Taking taylor expansion of PI in k 1540336160.836 * [misc]backup-simplify: Simplify PI into PI 1540336160.836 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336160.836 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336160.836 * [misc]taylor: Taking taylor expansion of -1 in k 1540336160.836 * [misc]backup-simplify: Simplify -1 into -1 1540336160.836 * [misc]taylor: Taking taylor expansion of k in k 1540336160.836 * [misc]backup-simplify: Simplify 0 into 0 1540336160.836 * [misc]backup-simplify: Simplify 1 into 1 1540336160.836 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336160.836 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.837 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336160.837 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336160.838 * [misc]backup-simplify: Simplify (/ (pow PI 2) +nan.0) into (* +nan.0 (pow PI 2)) 1540336160.838 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (pow PI 2))) into (* +nan.0 (pow PI 2)) 1540336160.839 * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) 1540336160.840 * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) 1540336160.840 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540336160.842 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336160.843 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 PI) (/ +nan.0 +nan.0)))) into (- (* +nan.0 PI)) 1540336160.845 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 PI))) (* 0 (* +nan.0 PI))) into (- (* +nan.0 PI)) 1540336160.845 * [misc]backup-simplify: Simplify (- (* +nan.0 PI)) into (- (* +nan.0 PI)) 1540336160.847 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 PI)) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (pow PI 2))) (* 1 (/ 1 (- n)))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540336160.847 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1540336160.847 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1540336160.847 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540336160.847 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336160.847 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.847 * [misc]backup-simplify: Simplify 2 into 2 1540336160.847 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.847 * [misc]taylor: Taking taylor expansion of n in n 1540336160.847 * [misc]backup-simplify: Simplify 0 into 0 1540336160.847 * [misc]backup-simplify: Simplify 1 into 1 1540336160.847 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.847 * [misc]backup-simplify: Simplify PI into PI 1540336160.848 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336160.848 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.848 * [misc]backup-simplify: Simplify 2 into 2 1540336160.848 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.848 * [misc]taylor: Taking taylor expansion of n in n 1540336160.848 * [misc]backup-simplify: Simplify 0 into 0 1540336160.848 * [misc]backup-simplify: Simplify 1 into 1 1540336160.848 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.848 * [misc]backup-simplify: Simplify PI into PI 1540336160.848 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336160.848 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336160.848 * [misc]backup-simplify: Simplify 0 into 0 1540336160.849 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336160.850 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336160.850 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336160.851 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336160.852 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336160.852 * [misc]backup-simplify: Simplify 0 into 0 1540336160.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336160.855 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336160.855 * [misc]backup-simplify: Simplify 0 into 0 1540336160.857 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336160.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336160.861 * [misc]backup-simplify: Simplify 0 into 0 1540336160.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336160.866 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540336160.866 * [misc]backup-simplify: Simplify 0 into 0 1540336160.870 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336160.873 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540336160.874 * [misc]backup-simplify: Simplify 0 into 0 1540336160.878 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540336160.882 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540336160.882 * [misc]backup-simplify: Simplify 0 into 0 1540336160.882 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540336160.883 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1540336160.883 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540336160.883 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336160.883 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.883 * [misc]backup-simplify: Simplify 2 into 2 1540336160.883 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.883 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.883 * [misc]backup-simplify: Simplify PI into PI 1540336160.883 * [misc]taylor: Taking taylor expansion of n in n 1540336160.883 * [misc]backup-simplify: Simplify 0 into 0 1540336160.883 * [misc]backup-simplify: Simplify 1 into 1 1540336160.883 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.883 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336160.883 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.883 * [misc]backup-simplify: Simplify 2 into 2 1540336160.884 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.884 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.884 * [misc]backup-simplify: Simplify PI into PI 1540336160.884 * [misc]taylor: Taking taylor expansion of n in n 1540336160.884 * [misc]backup-simplify: Simplify 0 into 0 1540336160.884 * [misc]backup-simplify: Simplify 1 into 1 1540336160.884 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.884 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336160.884 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336160.886 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336160.886 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336160.886 * [misc]backup-simplify: Simplify 0 into 0 1540336160.888 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.889 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336160.889 * [misc]backup-simplify: Simplify 0 into 0 1540336160.891 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336160.892 * [misc]backup-simplify: Simplify 0 into 0 1540336160.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.896 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336160.896 * [misc]backup-simplify: Simplify 0 into 0 1540336160.899 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336160.901 * [misc]backup-simplify: Simplify 0 into 0 1540336160.904 * [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 1540336160.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336160.908 * [misc]backup-simplify: Simplify 0 into 0 1540336160.908 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540336160.908 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1540336160.908 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540336160.908 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336160.908 * [misc]taylor: Taking taylor expansion of -2 in n 1540336160.908 * [misc]backup-simplify: Simplify -2 into -2 1540336160.908 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.908 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.908 * [misc]backup-simplify: Simplify PI into PI 1540336160.908 * [misc]taylor: Taking taylor expansion of n in n 1540336160.908 * [misc]backup-simplify: Simplify 0 into 0 1540336160.908 * [misc]backup-simplify: Simplify 1 into 1 1540336160.909 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.909 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336160.909 * [misc]taylor: Taking taylor expansion of -2 in n 1540336160.909 * [misc]backup-simplify: Simplify -2 into -2 1540336160.909 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.909 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.909 * [misc]backup-simplify: Simplify PI into PI 1540336160.909 * [misc]taylor: Taking taylor expansion of n in n 1540336160.909 * [misc]backup-simplify: Simplify 0 into 0 1540336160.909 * [misc]backup-simplify: Simplify 1 into 1 1540336160.909 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.910 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336160.910 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336160.911 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336160.912 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336160.912 * [misc]backup-simplify: Simplify 0 into 0 1540336160.913 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.914 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336160.914 * [misc]backup-simplify: Simplify 0 into 0 1540336160.916 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.917 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336160.917 * [misc]backup-simplify: Simplify 0 into 0 1540336160.919 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.921 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336160.921 * [misc]backup-simplify: Simplify 0 into 0 1540336160.924 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.926 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336160.927 * [misc]backup-simplify: Simplify 0 into 0 1540336160.929 * [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 1540336160.932 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336160.932 * [misc]backup-simplify: Simplify 0 into 0 1540336160.933 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540336160.933 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1540336160.933 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540336160.933 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540336160.933 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336160.933 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.933 * [misc]backup-simplify: Simplify 2 into 2 1540336160.933 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.933 * [misc]taylor: Taking taylor expansion of n in n 1540336160.933 * [misc]backup-simplify: Simplify 0 into 0 1540336160.933 * [misc]backup-simplify: Simplify 1 into 1 1540336160.933 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.933 * [misc]backup-simplify: Simplify PI into PI 1540336160.933 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336160.933 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.933 * [misc]backup-simplify: Simplify 2 into 2 1540336160.933 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.933 * [misc]taylor: Taking taylor expansion of n in n 1540336160.933 * [misc]backup-simplify: Simplify 0 into 0 1540336160.933 * [misc]backup-simplify: Simplify 1 into 1 1540336160.934 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.934 * [misc]backup-simplify: Simplify PI into PI 1540336160.934 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336160.934 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336160.934 * [misc]backup-simplify: Simplify 0 into 0 1540336160.935 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336160.936 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336160.936 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336160.937 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336160.938 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336160.938 * [misc]backup-simplify: Simplify 0 into 0 1540336160.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336160.942 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336160.942 * [misc]backup-simplify: Simplify 0 into 0 1540336160.944 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336160.946 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336160.946 * [misc]backup-simplify: Simplify 0 into 0 1540336160.948 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336160.950 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540336160.950 * [misc]backup-simplify: Simplify 0 into 0 1540336160.952 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336160.954 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540336160.954 * [misc]backup-simplify: Simplify 0 into 0 1540336160.956 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540336160.959 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540336160.959 * [misc]backup-simplify: Simplify 0 into 0 1540336160.959 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540336160.959 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540336160.959 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540336160.959 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336160.959 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.959 * [misc]backup-simplify: Simplify 2 into 2 1540336160.959 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.959 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.959 * [misc]backup-simplify: Simplify PI into PI 1540336160.959 * [misc]taylor: Taking taylor expansion of n in n 1540336160.959 * [misc]backup-simplify: Simplify 0 into 0 1540336160.959 * [misc]backup-simplify: Simplify 1 into 1 1540336160.960 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.960 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336160.960 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.960 * [misc]backup-simplify: Simplify 2 into 2 1540336160.960 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.960 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.960 * [misc]backup-simplify: Simplify PI into PI 1540336160.960 * [misc]taylor: Taking taylor expansion of n in n 1540336160.960 * [misc]backup-simplify: Simplify 0 into 0 1540336160.960 * [misc]backup-simplify: Simplify 1 into 1 1540336160.960 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.960 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336160.960 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336160.961 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336160.961 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336160.961 * [misc]backup-simplify: Simplify 0 into 0 1540336160.962 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.963 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336160.963 * [misc]backup-simplify: Simplify 0 into 0 1540336160.964 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.965 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336160.965 * [misc]backup-simplify: Simplify 0 into 0 1540336160.966 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.967 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336160.967 * [misc]backup-simplify: Simplify 0 into 0 1540336160.969 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.970 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336160.970 * [misc]backup-simplify: Simplify 0 into 0 1540336160.972 * [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 1540336160.974 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336160.974 * [misc]backup-simplify: Simplify 0 into 0 1540336160.974 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540336160.974 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540336160.974 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540336160.974 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336160.974 * [misc]taylor: Taking taylor expansion of -2 in n 1540336160.974 * [misc]backup-simplify: Simplify -2 into -2 1540336160.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.974 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.974 * [misc]backup-simplify: Simplify PI into PI 1540336160.974 * [misc]taylor: Taking taylor expansion of n in n 1540336160.974 * [misc]backup-simplify: Simplify 0 into 0 1540336160.974 * [misc]backup-simplify: Simplify 1 into 1 1540336160.974 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.974 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336160.974 * [misc]taylor: Taking taylor expansion of -2 in n 1540336160.974 * [misc]backup-simplify: Simplify -2 into -2 1540336160.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336160.974 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.974 * [misc]backup-simplify: Simplify PI into PI 1540336160.974 * [misc]taylor: Taking taylor expansion of n in n 1540336160.974 * [misc]backup-simplify: Simplify 0 into 0 1540336160.975 * [misc]backup-simplify: Simplify 1 into 1 1540336160.975 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336160.975 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336160.975 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336160.976 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336160.976 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336160.976 * [misc]backup-simplify: Simplify 0 into 0 1540336160.977 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.978 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336160.978 * [misc]backup-simplify: Simplify 0 into 0 1540336160.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.980 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336160.980 * [misc]backup-simplify: Simplify 0 into 0 1540336160.981 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.982 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336160.982 * [misc]backup-simplify: Simplify 0 into 0 1540336160.984 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336160.985 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336160.985 * [misc]backup-simplify: Simplify 0 into 0 1540336160.987 * [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 1540336160.989 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336160.989 * [misc]backup-simplify: Simplify 0 into 0 1540336160.990 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540336160.990 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1540336160.990 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1540336160.990 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1540336160.990 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540336160.990 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336160.990 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.990 * [misc]backup-simplify: Simplify 2 into 2 1540336160.990 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.990 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.990 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540336160.990 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.990 * [misc]taylor: Taking taylor expansion of n in n 1540336160.990 * [misc]backup-simplify: Simplify 0 into 0 1540336160.990 * [misc]backup-simplify: Simplify 1 into 1 1540336160.990 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.990 * [misc]backup-simplify: Simplify PI into PI 1540336160.991 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336160.991 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336160.991 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.992 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336160.992 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540336160.992 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336160.992 * [misc]taylor: Taking taylor expansion of 2 in n 1540336160.992 * [misc]backup-simplify: Simplify 2 into 2 1540336160.992 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336160.992 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336160.992 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540336160.992 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336160.992 * [misc]taylor: Taking taylor expansion of n in n 1540336160.992 * [misc]backup-simplify: Simplify 0 into 0 1540336160.992 * [misc]backup-simplify: Simplify 1 into 1 1540336160.992 * [misc]taylor: Taking taylor expansion of PI in n 1540336160.992 * [misc]backup-simplify: Simplify PI into PI 1540336160.992 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336160.993 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336160.993 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336160.994 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336160.994 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336160.994 * [misc]backup-simplify: Simplify 0 into 0 1540336160.995 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336160.997 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336160.998 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336160.999 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336161.000 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336161.003 * [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)))) 1540336161.004 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336161.006 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336161.008 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336161.009 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336161.012 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336161.014 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336161.018 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow n 3)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow n 2)) (* (- (* +nan.0 (* (sqrt 2) PI))) n))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1540336161.018 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1540336161.018 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1540336161.018 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540336161.018 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336161.018 * [misc]taylor: Taking taylor expansion of 2 in n 1540336161.018 * [misc]backup-simplify: Simplify 2 into 2 1540336161.018 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336161.019 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336161.019 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540336161.019 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336161.019 * [misc]taylor: Taking taylor expansion of PI in n 1540336161.019 * [misc]backup-simplify: Simplify PI into PI 1540336161.019 * [misc]taylor: Taking taylor expansion of n in n 1540336161.019 * [misc]backup-simplify: Simplify 0 into 0 1540336161.019 * [misc]backup-simplify: Simplify 1 into 1 1540336161.019 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336161.019 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336161.020 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336161.020 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1540336161.020 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336161.020 * [misc]taylor: Taking taylor expansion of 2 in n 1540336161.020 * [misc]backup-simplify: Simplify 2 into 2 1540336161.020 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336161.020 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336161.020 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1540336161.020 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336161.020 * [misc]taylor: Taking taylor expansion of PI in n 1540336161.020 * [misc]backup-simplify: Simplify PI into PI 1540336161.021 * [misc]taylor: Taking taylor expansion of n in n 1540336161.021 * [misc]backup-simplify: Simplify 0 into 0 1540336161.021 * [misc]backup-simplify: Simplify 1 into 1 1540336161.021 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336161.021 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336161.021 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336161.022 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336161.022 * [misc]backup-simplify: Simplify 0 into 0 1540336161.023 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336161.024 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336161.025 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336161.026 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336161.028 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336161.030 * [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)))) 1540336161.031 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336161.033 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336161.036 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336161.036 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336161.040 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336161.041 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336161.045 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow (/ 1 n) 2)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (/ 1 n)) (- (* +nan.0 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540336161.045 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1540336161.045 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1540336161.045 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336161.045 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336161.045 * [misc]taylor: Taking taylor expansion of -2 in n 1540336161.045 * [misc]backup-simplify: Simplify -2 into -2 1540336161.045 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336161.045 * [misc]taylor: Taking taylor expansion of PI in n 1540336161.045 * [misc]backup-simplify: Simplify PI into PI 1540336161.045 * [misc]taylor: Taking taylor expansion of n in n 1540336161.045 * [misc]backup-simplify: Simplify 0 into 0 1540336161.045 * [misc]backup-simplify: Simplify 1 into 1 1540336161.046 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336161.046 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336161.047 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336161.047 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336161.047 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1540336161.047 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336161.047 * [misc]taylor: Taking taylor expansion of -2 in n 1540336161.047 * [misc]backup-simplify: Simplify -2 into -2 1540336161.047 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336161.047 * [misc]taylor: Taking taylor expansion of PI in n 1540336161.047 * [misc]backup-simplify: Simplify PI into PI 1540336161.047 * [misc]taylor: Taking taylor expansion of n in n 1540336161.048 * [misc]backup-simplify: Simplify 0 into 0 1540336161.048 * [misc]backup-simplify: Simplify 1 into 1 1540336161.048 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336161.048 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336161.048 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336161.049 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336161.049 * [misc]backup-simplify: Simplify 0 into 0 1540336161.049 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540336161.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336161.051 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336161.052 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336161.053 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540336161.054 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336161.055 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336161.058 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336161.059 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540336161.060 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 (- n)) 2)) (+ (* (* +nan.0 (pow PI 2)) (/ 1 (- n))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540336161.060 * * * [misc]progress: simplifying candidates 1540336161.060 * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # 1540336161.060 * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # 1540336161.061 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (sqrt k))) 1540336161.061 * * [misc]simplify: iters left: 6 (11 enodes) 1540336161.064 * * [misc]simplify: iters left: 5 (17 enodes) 1540336161.069 * * [misc]simplify: iters left: 4 (24 enodes) 1540336161.075 * * [misc]simplify: iters left: 3 (25 enodes) 1540336161.081 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI n) 2))) (log (sqrt k))) 1540336161.081 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt (* (* PI n) 2))) (log (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.081 * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # 1540336161.082 * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # 1540336161.082 * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # 1540336161.082 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1540336161.082 * * [misc]simplify: iters left: 6 (13 enodes) 1540336161.086 * * [misc]simplify: iters left: 5 (26 enodes) 1540336161.095 * * [misc]simplify: iters left: 4 (73 enodes) 1540336161.120 * * [misc]simplify: iters left: 3 (264 enodes) 1540336161.302 * [exit]simplify: Simplified to (* (sqrt (* (* PI 2) n)) (* (/ (* PI 2) (sqrt k)) (/ n k))) 1540336161.303 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (sqrt (* (* PI 2) n)) (* (/ (* PI 2) (sqrt k)) (/ n k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.303 * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # 1540336161.303 * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # 1540336161.303 * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # 1540336161.303 * [enter]simplify: Simplifying (/ (* (* 2 n) PI) k) 1540336161.303 * * [misc]simplify: iters left: 6 (7 enodes) 1540336161.304 * * [misc]simplify: iters left: 5 (13 enodes) 1540336161.306 * * [misc]simplify: iters left: 4 (21 enodes) 1540336161.311 * * [misc]simplify: iters left: 3 (38 enodes) 1540336161.321 * * [misc]simplify: iters left: 2 (55 enodes) 1540336161.336 * * [misc]simplify: iters left: 1 (74 enodes) 1540336161.360 * [exit]simplify: Simplified to (* (/ n k) (* PI 2)) 1540336161.360 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (/ n k) (* PI 2))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.361 * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # 1540336161.361 * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # 1540336161.361 * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # 1540336161.361 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336161.361 * * [misc]simplify: iters left: 6 (13 enodes) 1540336161.364 * * [misc]simplify: iters left: 5 (23 enodes) 1540336161.368 * * [misc]simplify: iters left: 4 (38 enodes) 1540336161.373 * * [misc]simplify: iters left: 3 (42 enodes) 1540336161.378 * * [misc]simplify: iters left: 2 (45 enodes) 1540336161.383 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) 1540336161.383 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.383 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) 1540336161.384 * * [misc]simplify: iters left: 6 (11 enodes) 1540336161.385 * * [misc]simplify: iters left: 5 (15 enodes) 1540336161.387 * * [misc]simplify: iters left: 4 (21 enodes) 1540336161.390 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.393 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) 1540336161.393 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.393 * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # 1540336161.393 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) 1540336161.393 * * [misc]simplify: iters left: 6 (12 enodes) 1540336161.395 * * [misc]simplify: iters left: 5 (18 enodes) 1540336161.397 * * [misc]simplify: iters left: 4 (26 enodes) 1540336161.401 * * [misc]simplify: iters left: 3 (28 enodes) 1540336161.405 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) 1540336161.405 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI n) 2))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.405 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1540336161.405 * * [misc]simplify: iters left: 6 (11 enodes) 1540336161.407 * * [misc]simplify: iters left: 5 (15 enodes) 1540336161.409 * * [misc]simplify: iters left: 4 (21 enodes) 1540336161.412 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.414 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540336161.414 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.414 * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # 1540336161.415 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1) 1540336161.415 * * [misc]simplify: iters left: 6 (10 enodes) 1540336161.417 * * [misc]simplify: iters left: 5 (18 enodes) 1540336161.423 * * [misc]simplify: iters left: 4 (30 enodes) 1540336161.430 * * [misc]simplify: iters left: 3 (33 enodes) 1540336161.437 * * [misc]simplify: iters left: 2 (38 enodes) 1540336161.445 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) 1540336161.445 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.446 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1540336161.446 * * [misc]simplify: iters left: 6 (10 enodes) 1540336161.449 * * [misc]simplify: iters left: 5 (14 enodes) 1540336161.453 * * [misc]simplify: iters left: 4 (20 enodes) 1540336161.458 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.464 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540336161.464 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.464 * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # 1540336161.465 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336161.465 * * [misc]simplify: iters left: 6 (9 enodes) 1540336161.467 * * [misc]simplify: iters left: 5 (12 enodes) 1540336161.469 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540336161.469 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.469 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (sqrt k))) 1540336161.469 * * [misc]simplify: iters left: 4 (6 enodes) 1540336161.470 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (sqrt k))) 1540336161.470 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.470 * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # 1540336161.470 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1540336161.470 * * [misc]simplify: iters left: 5 (8 enodes) 1540336161.471 * * [misc]simplify: iters left: 4 (9 enodes) 1540336161.473 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1540336161.473 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.473 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (sqrt k))) 1540336161.473 * * [misc]simplify: iters left: 4 (6 enodes) 1540336161.474 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540336161.474 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.474 * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # 1540336161.474 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) 1) 1540336161.474 * * [misc]simplify: iters left: 5 (6 enodes) 1540336161.475 * * [misc]simplify: iters left: 4 (9 enodes) 1540336161.476 * * [misc]simplify: iters left: 3 (11 enodes) 1540336161.477 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540336161.477 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.478 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540336161.478 * * [misc]simplify: iters left: 3 (5 enodes) 1540336161.478 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540336161.478 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.478 * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # 1540336161.479 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336161.479 * * [misc]simplify: iters left: 6 (12 enodes) 1540336161.480 * * [misc]simplify: iters left: 5 (18 enodes) 1540336161.483 * * [misc]simplify: iters left: 4 (24 enodes) 1540336161.486 * * [misc]simplify: iters left: 3 (25 enodes) 1540336161.489 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336161.489 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* (* PI n) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.489 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) 1540336161.489 * * [misc]simplify: iters left: 6 (11 enodes) 1540336161.491 * * [misc]simplify: iters left: 5 (15 enodes) 1540336161.493 * * [misc]simplify: iters left: 4 (21 enodes) 1540336161.496 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.498 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) 1540336161.498 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.498 * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # 1540336161.499 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1540336161.499 * * [misc]simplify: iters left: 6 (11 enodes) 1540336161.500 * * [misc]simplify: iters left: 5 (15 enodes) 1540336161.503 * * [misc]simplify: iters left: 4 (21 enodes) 1540336161.506 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.508 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540336161.508 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.508 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1540336161.509 * * [misc]simplify: iters left: 6 (11 enodes) 1540336161.510 * * [misc]simplify: iters left: 5 (15 enodes) 1540336161.513 * * [misc]simplify: iters left: 4 (21 enodes) 1540336161.515 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.518 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1540336161.518 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.518 * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # 1540336161.518 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1) 1540336161.518 * * [misc]simplify: iters left: 6 (9 enodes) 1540336161.520 * * [misc]simplify: iters left: 5 (15 enodes) 1540336161.524 * * [misc]simplify: iters left: 4 (23 enodes) 1540336161.529 * * [misc]simplify: iters left: 3 (24 enodes) 1540336161.534 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1540336161.534 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.535 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1540336161.535 * * [misc]simplify: iters left: 6 (10 enodes) 1540336161.538 * * [misc]simplify: iters left: 5 (14 enodes) 1540336161.542 * * [misc]simplify: iters left: 4 (20 enodes) 1540336161.547 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.553 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1540336161.553 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.553 * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # 1540336161.553 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336161.553 * * [misc]simplify: iters left: 6 (6 enodes) 1540336161.555 * * [misc]simplify: iters left: 5 (10 enodes) 1540336161.558 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540336161.558 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.558 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) 1540336161.558 * * [misc]simplify: iters left: 6 (10 enodes) 1540336161.561 * * [misc]simplify: iters left: 5 (14 enodes) 1540336161.565 * * [misc]simplify: iters left: 4 (20 enodes) 1540336161.571 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.576 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k))) 1540336161.577 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.577 * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # 1540336161.577 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540336161.577 * * [misc]simplify: iters left: 4 (5 enodes) 1540336161.578 * * [misc]simplify: iters left: 3 (7 enodes) 1540336161.580 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540336161.580 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.580 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1540336161.581 * * [misc]simplify: iters left: 6 (10 enodes) 1540336161.583 * * [misc]simplify: iters left: 5 (14 enodes) 1540336161.587 * * [misc]simplify: iters left: 4 (20 enodes) 1540336161.593 * * [misc]simplify: iters left: 3 (22 enodes) 1540336161.598 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540336161.598 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.598 * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # 1540336161.598 * [enter]simplify: Simplifying (/ 1 1) 1540336161.598 * * [misc]simplify: iters left: 2 (2 enodes) 1540336161.599 * * [misc]simplify: iters left: 1 (4 enodes) 1540336161.600 * [exit]simplify: Simplified to 1 1540336161.600 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.600 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt k)) 1540336161.600 * * [misc]simplify: iters left: 6 (9 enodes) 1540336161.603 * * [misc]simplify: iters left: 5 (13 enodes) 1540336161.606 * * [misc]simplify: iters left: 4 (19 enodes) 1540336161.611 * * [misc]simplify: iters left: 3 (20 enodes) 1540336161.616 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt k)) 1540336161.616 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.616 * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # 1540336161.616 * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # 1540336161.616 * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # 1540336161.616 * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # 1540336161.617 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540336161.617 * * [misc]simplify: iters left: 2 (3 enodes) 1540336161.617 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540336161.617 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.618 * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # 1540336161.618 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540336161.618 * * [misc]simplify: iters left: 2 (3 enodes) 1540336161.619 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540336161.619 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.619 * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # 1540336161.619 * [enter]simplify: Simplifying (sqrt k) 1540336161.619 * * [misc]simplify: iters left: 1 (2 enodes) 1540336161.620 * [exit]simplify: Simplified to (sqrt k) 1540336161.620 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) 1) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.620 * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # 1540336161.620 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1540336161.620 * * [misc]simplify: iters left: 6 (8 enodes) 1540336161.623 * * [misc]simplify: iters left: 5 (12 enodes) 1540336161.626 * * [misc]simplify: iters left: 4 (18 enodes) 1540336161.631 * * [misc]simplify: iters left: 3 (20 enodes) 1540336161.637 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) 1540336161.637 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (sqrt k) (cbrt (sqrt (* (* 2 n) PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.637 * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # 1540336161.638 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540336161.638 * * [misc]simplify: iters left: 3 (4 enodes) 1540336161.639 * * [misc]simplify: iters left: 2 (5 enodes) 1540336161.640 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540336161.640 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.641 * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # 1540336161.641 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1540336161.641 * * [misc]simplify: iters left: 6 (7 enodes) 1540336161.643 * * [misc]simplify: iters left: 5 (11 enodes) 1540336161.646 * * [misc]simplify: iters left: 4 (17 enodes) 1540336161.651 * * [misc]simplify: iters left: 3 (19 enodes) 1540336161.655 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1540336161.656 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.656 * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # 1540336161.656 * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # 1540336161.657 * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # 1540336161.657 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1540336161.658 * * [misc]simplify: iters left: 3 (4 enodes) 1540336161.659 * * [misc]simplify: iters left: 2 (5 enodes) 1540336161.660 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540336161.660 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.660 * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # 1540336161.660 * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # 1540336161.660 * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # 1540336161.661 * [enter]simplify: Simplifying (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540336161.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.661 * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # 1540336161.661 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540336161.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.661 * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # 1540336161.661 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540336161.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.661 * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # 1540336161.662 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336161.662 * * [misc]simplify: iters left: 4 (5 enodes) 1540336161.663 * * [misc]simplify: iters left: 3 (9 enodes) 1540336161.666 * * [misc]simplify: iters left: 2 (15 enodes) 1540336161.670 * * [misc]simplify: iters left: 1 (17 enodes) 1540336161.674 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336161.674 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (sqrt (* (* PI n) 2)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.674 * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # 1540336161.675 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336161.675 * * [misc]simplify: iters left: 4 (5 enodes) 1540336161.676 * * [misc]simplify: iters left: 3 (9 enodes) 1540336161.679 * * [misc]simplify: iters left: 2 (15 enodes) 1540336161.683 * * [misc]simplify: iters left: 1 (17 enodes) 1540336161.687 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336161.687 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (sqrt (* (* PI n) 2)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.687 * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # 1540336161.687 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336161.687 * * [misc]simplify: iters left: 4 (5 enodes) 1540336161.689 * * [misc]simplify: iters left: 3 (9 enodes) 1540336161.692 * * [misc]simplify: iters left: 2 (15 enodes) 1540336161.696 * * [misc]simplify: iters left: 1 (17 enodes) 1540336161.700 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336161.700 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (/ (sqrt (* (* PI n) 2)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.700 * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # 1540336161.700 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336161.700 * * [misc]simplify: iters left: 4 (5 enodes) 1540336161.702 * * [misc]simplify: iters left: 3 (9 enodes) 1540336161.704 * * [misc]simplify: iters left: 2 (15 enodes) 1540336161.708 * * [misc]simplify: iters left: 1 (17 enodes) 1540336161.712 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336161.712 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540336161.712 * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # 1540336161.713 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336161.713 * * [misc]simplify: iters left: 4 (5 enodes) 1540336161.714 * * [misc]simplify: iters left: 3 (9 enodes) 1540336161.717 * * [misc]simplify: iters left: 2 (15 enodes) 1540336161.721 * * [misc]simplify: iters left: 1 (17 enodes) 1540336161.725 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336161.725 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540336161.725 * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # 1540336161.725 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336161.725 * * [misc]simplify: iters left: 4 (5 enodes) 1540336161.727 * * [misc]simplify: iters left: 3 (9 enodes) 1540336161.730 * * [misc]simplify: iters left: 2 (15 enodes) 1540336161.734 * * [misc]simplify: iters left: 1 (17 enodes) 1540336161.738 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336161.738 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1540336161.738 * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # 1540336161.738 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1540336161.738 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ +nan.0 (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.738 * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # 1540336161.739 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540336161.739 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ +nan.0 (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.739 * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # 1540336161.739 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1540336161.739 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ +nan.0 (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336161.739 * * * [misc]progress: adding candidates to table 1540336162.593 * * [misc]progress: iteration 4 / 4 1540336162.593 * * * [misc]progress: picking best candidate 1540336162.640 * * * * [misc]pick: Picked # 1540336162.641 * * * [misc]progress: localizing error 1540336162.654 * * * [misc]progress: generating rewritten candidates 1540336162.654 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) 1540336162.654 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1540336162.661 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) 1540336162.666 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1540336162.668 * * * [misc]progress: generating series expansions 1540336162.668 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) 1540336162.668 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1540336162.669 * [misc]backup-simplify: Simplify (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) into (* (sqrt 2) (sqrt (/ (* n PI) k))) 1540336162.669 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in (n k) around 0 1540336162.669 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in k 1540336162.669 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.669 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.669 * [misc]backup-simplify: Simplify 2 into 2 1540336162.669 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.669 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.669 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1540336162.669 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1540336162.669 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540336162.669 * [misc]taylor: Taking taylor expansion of n in k 1540336162.669 * [misc]backup-simplify: Simplify n into n 1540336162.669 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.669 * [misc]backup-simplify: Simplify PI into PI 1540336162.669 * [misc]taylor: Taking taylor expansion of k in k 1540336162.669 * [misc]backup-simplify: Simplify 0 into 0 1540336162.669 * [misc]backup-simplify: Simplify 1 into 1 1540336162.669 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540336162.669 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1540336162.669 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.670 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1540336162.670 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540336162.670 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336162.670 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.670 * [misc]backup-simplify: Simplify 2 into 2 1540336162.670 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.670 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.670 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540336162.670 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540336162.670 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336162.670 * [misc]taylor: Taking taylor expansion of n in n 1540336162.670 * [misc]backup-simplify: Simplify 0 into 0 1540336162.670 * [misc]backup-simplify: Simplify 1 into 1 1540336162.670 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.670 * [misc]backup-simplify: Simplify PI into PI 1540336162.670 * [misc]taylor: Taking taylor expansion of k in n 1540336162.670 * [misc]backup-simplify: Simplify k into k 1540336162.670 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336162.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336162.671 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540336162.671 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.671 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540336162.671 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n 1540336162.671 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336162.671 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.671 * [misc]backup-simplify: Simplify 2 into 2 1540336162.671 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.671 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.671 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1540336162.671 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1540336162.671 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336162.671 * [misc]taylor: Taking taylor expansion of n in n 1540336162.671 * [misc]backup-simplify: Simplify 0 into 0 1540336162.671 * [misc]backup-simplify: Simplify 1 into 1 1540336162.671 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.671 * [misc]backup-simplify: Simplify PI into PI 1540336162.671 * [misc]taylor: Taking taylor expansion of k in n 1540336162.672 * [misc]backup-simplify: Simplify k into k 1540336162.672 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336162.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336162.672 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540336162.673 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.673 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1540336162.673 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336162.673 * [misc]taylor: Taking taylor expansion of 0 in k 1540336162.673 * [misc]backup-simplify: Simplify 0 into 0 1540336162.674 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) k))) 1540336162.674 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) k))) in k 1540336162.674 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) k)) in k 1540336162.674 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.674 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.674 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) k) in k 1540336162.674 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1540336162.674 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.674 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.674 * [misc]backup-simplify: Simplify 2 into 2 1540336162.674 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.674 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.674 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.674 * [misc]backup-simplify: Simplify PI into PI 1540336162.674 * [misc]taylor: Taking taylor expansion of k in k 1540336162.674 * [misc]backup-simplify: Simplify 0 into 0 1540336162.674 * [misc]backup-simplify: Simplify 1 into 1 1540336162.675 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1540336162.676 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1540336162.677 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1540336162.678 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336162.678 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336162.679 * [misc]backup-simplify: Simplify 0 into 0 1540336162.680 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336162.680 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540336162.680 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1540336162.682 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336162.683 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) 1540336162.683 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) in k 1540336162.683 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2))) in k 1540336162.683 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.683 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.683 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (pow k 2)) in k 1540336162.683 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1540336162.683 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.683 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.683 * [misc]backup-simplify: Simplify 2 into 2 1540336162.683 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.683 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.683 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336162.683 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.683 * [misc]backup-simplify: Simplify PI into PI 1540336162.683 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540336162.683 * [misc]taylor: Taking taylor expansion of k in k 1540336162.684 * [misc]backup-simplify: Simplify 0 into 0 1540336162.684 * [misc]backup-simplify: Simplify 1 into 1 1540336162.684 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336162.684 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540336162.685 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336162.686 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1540336162.686 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336162.687 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540336162.688 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336162.690 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into 0 1540336162.691 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540336162.691 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.691 * [misc]backup-simplify: Simplify 0 into 0 1540336162.692 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1540336162.694 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into 0 1540336162.695 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) PI))) into 0 1540336162.695 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.695 * [misc]backup-simplify: Simplify 0 into 0 1540336162.695 * [misc]backup-simplify: Simplify 0 into 0 1540336162.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336162.697 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540336162.698 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ PI k)) (* +nan.0 (/ (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (/ (pow PI 3) (pow k 3))) 1540336162.698 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336162.699 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) 1540336162.699 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) in k 1540336162.699 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3))) in k 1540336162.699 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.699 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.699 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (pow PI 3)) (pow k 3)) in k 1540336162.699 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in k 1540336162.699 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.699 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.699 * [misc]backup-simplify: Simplify 2 into 2 1540336162.699 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.700 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.700 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540336162.700 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.700 * [misc]backup-simplify: Simplify PI into PI 1540336162.700 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540336162.700 * [misc]taylor: Taking taylor expansion of k in k 1540336162.700 * [misc]backup-simplify: Simplify 0 into 0 1540336162.700 * [misc]backup-simplify: Simplify 1 into 1 1540336162.700 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336162.701 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540336162.701 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540336162.702 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336162.702 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336162.703 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) 1) into (* (sqrt 2) (pow PI 3)) 1540336162.704 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540336162.705 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336162.706 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540336162.707 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1540336162.708 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336162.710 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1540336162.710 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540336162.710 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336162.711 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540336162.711 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1540336162.712 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336162.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)))) into 0 1540336162.717 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.718 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0 1540336162.718 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.718 * [misc]backup-simplify: Simplify 0 into 0 1540336162.719 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1540336162.720 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336162.721 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1540336162.721 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1540336162.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.723 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0 1540336162.724 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.724 * [misc]backup-simplify: Simplify 0 into 0 1540336162.724 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)) into (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540336162.725 * [misc]backup-simplify: Simplify (* (sqrt (* 2 (/ 1 n))) (/ (sqrt PI) (sqrt (/ 1 k)))) into (* (sqrt 2) (sqrt (/ (* PI k) n))) 1540336162.725 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in (n k) around 0 1540336162.725 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in k 1540336162.725 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.725 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.725 * [misc]backup-simplify: Simplify 2 into 2 1540336162.725 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.725 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.725 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1540336162.725 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1540336162.725 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336162.725 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.725 * [misc]backup-simplify: Simplify PI into PI 1540336162.725 * [misc]taylor: Taking taylor expansion of k in k 1540336162.725 * [misc]backup-simplify: Simplify 0 into 0 1540336162.725 * [misc]backup-simplify: Simplify 1 into 1 1540336162.725 * [misc]taylor: Taking taylor expansion of n in k 1540336162.725 * [misc]backup-simplify: Simplify n into n 1540336162.725 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336162.726 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336162.726 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540336162.726 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.726 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1540336162.726 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540336162.726 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336162.726 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.726 * [misc]backup-simplify: Simplify 2 into 2 1540336162.726 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.727 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.727 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540336162.727 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540336162.727 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540336162.727 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.727 * [misc]backup-simplify: Simplify PI into PI 1540336162.727 * [misc]taylor: Taking taylor expansion of k in n 1540336162.727 * [misc]backup-simplify: Simplify k into k 1540336162.727 * [misc]taylor: Taking taylor expansion of n in n 1540336162.727 * [misc]backup-simplify: Simplify 0 into 0 1540336162.727 * [misc]backup-simplify: Simplify 1 into 1 1540336162.727 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540336162.727 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540336162.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.727 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540336162.727 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n 1540336162.727 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540336162.727 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.727 * [misc]backup-simplify: Simplify 2 into 2 1540336162.727 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.727 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.727 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1540336162.727 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1540336162.728 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1540336162.728 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.728 * [misc]backup-simplify: Simplify PI into PI 1540336162.728 * [misc]taylor: Taking taylor expansion of k in n 1540336162.728 * [misc]backup-simplify: Simplify k into k 1540336162.728 * [misc]taylor: Taking taylor expansion of n in n 1540336162.728 * [misc]backup-simplify: Simplify 0 into 0 1540336162.728 * [misc]backup-simplify: Simplify 1 into 1 1540336162.728 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1540336162.728 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1540336162.728 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.728 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1540336162.728 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336162.728 * [misc]taylor: Taking taylor expansion of 0 in k 1540336162.728 * [misc]backup-simplify: Simplify 0 into 0 1540336162.728 * [misc]backup-simplify: Simplify 0 into 0 1540336162.728 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI k)))) 1540336162.728 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* PI k)))) in k 1540336162.729 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* PI k))) in k 1540336162.729 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.729 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.729 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1540336162.729 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.729 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.729 * [misc]backup-simplify: Simplify 2 into 2 1540336162.729 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.729 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.729 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336162.729 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.729 * [misc]backup-simplify: Simplify PI into PI 1540336162.729 * [misc]taylor: Taking taylor expansion of k in k 1540336162.729 * [misc]backup-simplify: Simplify 0 into 0 1540336162.729 * [misc]backup-simplify: Simplify 1 into 1 1540336162.729 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336162.729 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540336162.729 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540336162.729 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.730 * [misc]backup-simplify: Simplify 0 into 0 1540336162.730 * [misc]backup-simplify: Simplify 0 into 0 1540336162.730 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1540336162.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1540336162.730 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1540336162.731 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336162.732 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) 1540336162.732 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1540336162.732 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1540336162.732 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.732 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.732 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1540336162.732 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.732 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.732 * [misc]backup-simplify: Simplify 2 into 2 1540336162.732 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.732 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.732 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1540336162.732 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1540336162.732 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.732 * [misc]backup-simplify: Simplify PI into PI 1540336162.732 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1540336162.732 * [misc]taylor: Taking taylor expansion of k in k 1540336162.732 * [misc]backup-simplify: Simplify 0 into 0 1540336162.732 * [misc]backup-simplify: Simplify 1 into 1 1540336162.733 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336162.733 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1540336162.734 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336162.735 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336162.735 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540336162.735 * [misc]backup-simplify: Simplify 0 into 0 1540336162.736 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1540336162.736 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.736 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3))) 1540336162.737 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336162.737 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) 1540336162.737 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1540336162.737 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1540336162.737 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.737 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.737 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1540336162.737 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.737 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.737 * [misc]backup-simplify: Simplify 2 into 2 1540336162.738 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.738 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.738 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1540336162.738 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1540336162.738 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.738 * [misc]backup-simplify: Simplify PI into PI 1540336162.738 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1540336162.738 * [misc]taylor: Taking taylor expansion of k in k 1540336162.738 * [misc]backup-simplify: Simplify 0 into 0 1540336162.738 * [misc]backup-simplify: Simplify 1 into 1 1540336162.738 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540336162.739 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540336162.740 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1540336162.741 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1540336162.741 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.741 * [misc]backup-simplify: Simplify 0 into 0 1540336162.741 * [misc]backup-simplify: Simplify 0 into 0 1540336162.741 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540336162.742 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.743 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4))) 1540336162.744 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336162.744 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) 1540336162.744 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1540336162.745 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1540336162.745 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.745 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.745 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1540336162.745 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.745 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.745 * [misc]backup-simplify: Simplify 2 into 2 1540336162.745 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.745 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1540336162.745 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1540336162.745 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.745 * [misc]backup-simplify: Simplify PI into PI 1540336162.745 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1540336162.745 * [misc]taylor: Taking taylor expansion of k in k 1540336162.745 * [misc]backup-simplify: Simplify 0 into 0 1540336162.745 * [misc]backup-simplify: Simplify 1 into 1 1540336162.745 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336162.746 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336162.746 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1540336162.747 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1540336162.747 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 2))) into (* +nan.0 (* (sqrt 2) (pow PI 2))) 1540336162.748 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336162.749 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540336162.750 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540336162.750 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336162.751 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336162.752 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1540336162.752 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.752 * [misc]backup-simplify: Simplify 0 into 0 1540336162.752 * [misc]backup-simplify: Simplify 0 into 0 1540336162.753 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1540336162.754 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.754 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5))) 1540336162.755 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336162.756 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) 1540336162.756 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1540336162.756 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1540336162.756 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.756 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.756 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1540336162.756 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.756 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.756 * [misc]backup-simplify: Simplify 2 into 2 1540336162.756 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.756 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.756 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1540336162.756 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1540336162.756 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.756 * [misc]backup-simplify: Simplify PI into PI 1540336162.756 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1540336162.756 * [misc]taylor: Taking taylor expansion of k in k 1540336162.756 * [misc]backup-simplify: Simplify 0 into 0 1540336162.756 * [misc]backup-simplify: Simplify 1 into 1 1540336162.757 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1540336162.757 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1540336162.758 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1540336162.758 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1540336162.759 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1540336162.759 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.759 * [misc]backup-simplify: Simplify 0 into 0 1540336162.760 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1540336162.761 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336162.762 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336162.764 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1540336162.764 * [misc]backup-simplify: Simplify (- 0) into 0 1540336162.764 * [misc]backup-simplify: Simplify 0 into 0 1540336162.764 * [misc]backup-simplify: Simplify 0 into 0 1540336162.764 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1540336162.765 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.766 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6))) 1540336162.767 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1540336162.769 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) 1540336162.770 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1540336162.770 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1540336162.770 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.770 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.770 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1540336162.770 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1540336162.770 * [misc]taylor: Taking taylor expansion of 2 in k 1540336162.770 * [misc]backup-simplify: Simplify 2 into 2 1540336162.770 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540336162.770 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540336162.770 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1540336162.770 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1540336162.770 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.770 * [misc]backup-simplify: Simplify PI into PI 1540336162.770 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1540336162.770 * [misc]taylor: Taking taylor expansion of k in k 1540336162.770 * [misc]backup-simplify: Simplify 0 into 0 1540336162.770 * [misc]backup-simplify: Simplify 1 into 1 1540336162.771 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1540336162.771 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1540336162.771 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336162.772 * [misc]backup-simplify: Simplify (* 1 1) into 1 1540336162.772 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1540336162.773 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1540336162.774 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (pow PI 3))) into (* +nan.0 (* (sqrt 2) (pow PI 3))) 1540336162.775 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336162.776 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1540336162.780 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540336162.781 * [misc]backup-simplify: Simplify (* (sqrt (* 2 (/ 1 (- n)))) (/ (sqrt PI) (sqrt (/ 1 (- k))))) into (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) 1540336162.781 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in (n k) around 0 1540336162.781 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in k 1540336162.781 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in k 1540336162.781 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1540336162.781 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540336162.781 * [misc]taylor: Taking taylor expansion of -2 in k 1540336162.781 * [misc]backup-simplify: Simplify -2 into -2 1540336162.781 * [misc]taylor: Taking taylor expansion of n in k 1540336162.781 * [misc]backup-simplify: Simplify n into n 1540336162.781 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540336162.781 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1540336162.781 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1540336162.781 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1540336162.781 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336162.781 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336162.781 * [misc]taylor: Taking taylor expansion of -1 in k 1540336162.781 * [misc]backup-simplify: Simplify -1 into -1 1540336162.781 * [misc]taylor: Taking taylor expansion of k in k 1540336162.781 * [misc]backup-simplify: Simplify 0 into 0 1540336162.781 * [misc]backup-simplify: Simplify 1 into 1 1540336162.781 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336162.781 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.782 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336162.782 * [misc]backup-simplify: Simplify (/ (sqrt (/ -2 n)) +nan.0) into (* +nan.0 (sqrt (/ -2 n))) 1540336162.782 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540336162.782 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.782 * [misc]backup-simplify: Simplify PI into PI 1540336162.782 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540336162.782 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540336162.783 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in n 1540336162.783 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n 1540336162.783 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1540336162.783 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540336162.783 * [misc]taylor: Taking taylor expansion of -2 in n 1540336162.783 * [misc]backup-simplify: Simplify -2 into -2 1540336162.783 * [misc]taylor: Taking taylor expansion of n in n 1540336162.783 * [misc]backup-simplify: Simplify 0 into 0 1540336162.783 * [misc]backup-simplify: Simplify 1 into 1 1540336162.783 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540336162.783 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.783 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1540336162.783 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336162.783 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336162.783 * [misc]taylor: Taking taylor expansion of -1 in n 1540336162.783 * [misc]backup-simplify: Simplify -1 into -1 1540336162.783 * [misc]taylor: Taking taylor expansion of k in n 1540336162.783 * [misc]backup-simplify: Simplify k into k 1540336162.783 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336162.783 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336162.783 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336162.783 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336162.784 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k))) 1540336162.784 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540336162.784 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.784 * [misc]backup-simplify: Simplify PI into PI 1540336162.784 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540336162.784 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540336162.784 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) (sqrt PI)) in n 1540336162.784 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n 1540336162.784 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1540336162.784 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540336162.784 * [misc]taylor: Taking taylor expansion of -2 in n 1540336162.784 * [misc]backup-simplify: Simplify -2 into -2 1540336162.784 * [misc]taylor: Taking taylor expansion of n in n 1540336162.784 * [misc]backup-simplify: Simplify 0 into 0 1540336162.784 * [misc]backup-simplify: Simplify 1 into 1 1540336162.784 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540336162.785 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.785 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1540336162.785 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540336162.785 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540336162.785 * [misc]taylor: Taking taylor expansion of -1 in n 1540336162.785 * [misc]backup-simplify: Simplify -1 into -1 1540336162.785 * [misc]taylor: Taking taylor expansion of k in n 1540336162.785 * [misc]backup-simplify: Simplify k into k 1540336162.785 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540336162.785 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540336162.785 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540336162.785 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540336162.785 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k))) 1540336162.785 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540336162.785 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.785 * [misc]backup-simplify: Simplify PI into PI 1540336162.785 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540336162.786 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540336162.786 * [misc]backup-simplify: Simplify (* (/ +nan.0 (sqrt (/ -1 k))) (sqrt PI)) into (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI))) 1540336162.786 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI))) in k 1540336162.786 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.786 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.786 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540336162.786 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540336162.786 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336162.786 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336162.786 * [misc]taylor: Taking taylor expansion of -1 in k 1540336162.786 * [misc]backup-simplify: Simplify -1 into -1 1540336162.786 * [misc]taylor: Taking taylor expansion of k in k 1540336162.786 * [misc]backup-simplify: Simplify 0 into 0 1540336162.786 * [misc]backup-simplify: Simplify 1 into 1 1540336162.787 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336162.787 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.787 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336162.787 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540336162.787 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540336162.787 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.787 * [misc]backup-simplify: Simplify PI into PI 1540336162.787 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540336162.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540336162.788 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540336162.788 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (sqrt PI))) into (* +nan.0 (sqrt PI)) 1540336162.789 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540336162.789 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540336162.790 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336162.790 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt (/ -1 k))) (+ (* (/ +nan.0 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ 1 (sqrt (/ -1 k))))) 1540336162.790 * [misc]backup-simplify: Simplify (+ (* (/ +nan.0 (sqrt (/ -1 k))) 0) (* (- (* +nan.0 (/ 1 (sqrt (/ -1 k))))) (sqrt PI))) into (- (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)))) 1540336162.790 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)))) in k 1540336162.790 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt PI))) in k 1540336162.790 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1540336162.790 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540336162.790 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540336162.790 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540336162.790 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336162.790 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336162.790 * [misc]taylor: Taking taylor expansion of -1 in k 1540336162.790 * [misc]backup-simplify: Simplify -1 into -1 1540336162.790 * [misc]taylor: Taking taylor expansion of k in k 1540336162.790 * [misc]backup-simplify: Simplify 0 into 0 1540336162.790 * [misc]backup-simplify: Simplify 1 into 1 1540336162.790 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336162.791 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.791 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336162.791 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540336162.791 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540336162.791 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.791 * [misc]backup-simplify: Simplify PI into PI 1540336162.791 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540336162.792 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540336162.792 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540336162.792 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (sqrt PI))) into (* +nan.0 (sqrt PI)) 1540336162.793 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540336162.793 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540336162.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540336162.794 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336162.795 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540336162.795 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540336162.796 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt PI)))) (* 0 (* +nan.0 (sqrt PI)))) into (- (* +nan.0 (sqrt PI))) 1540336162.797 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540336162.798 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt PI))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (sqrt PI))) (* 1 (/ 1 (- n)))) (* +nan.0 (sqrt PI)))) into (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (+ (* +nan.0 (* (/ 1 n) (sqrt PI))) (- (* +nan.0 (sqrt PI))))))) 1540336162.798 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) 1540336162.799 * [misc]backup-simplify: Simplify (/ (sqrt PI) (sqrt k)) into (sqrt (/ PI k)) 1540336162.799 * [misc]approximate: Taking taylor expansion of (sqrt (/ PI k)) in (k) around 0 1540336162.799 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540336162.799 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540336162.799 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.799 * [misc]backup-simplify: Simplify PI into PI 1540336162.799 * [misc]taylor: Taking taylor expansion of k in k 1540336162.799 * [misc]backup-simplify: Simplify 0 into 0 1540336162.799 * [misc]backup-simplify: Simplify 1 into 1 1540336162.799 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336162.799 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.799 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336162.799 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540336162.799 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540336162.799 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.799 * [misc]backup-simplify: Simplify PI into PI 1540336162.799 * [misc]taylor: Taking taylor expansion of k in k 1540336162.799 * [misc]backup-simplify: Simplify 0 into 0 1540336162.799 * [misc]backup-simplify: Simplify 1 into 1 1540336162.800 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336162.800 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.800 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336162.800 * [misc]backup-simplify: Simplify 0 into 0 1540336162.800 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540336162.801 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336162.802 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336162.802 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540336162.803 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.805 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336162.805 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540336162.806 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow k 2)) (+ (* (* +nan.0 (pow PI 2)) k) (* +nan.0 PI))) into (- (+ (* +nan.0 (* (pow PI 3) (pow k 2))) (- (+ (* +nan.0 (* (pow PI 2) k)) (- (* +nan.0 PI)))))) 1540336162.806 * [misc]backup-simplify: Simplify (/ (sqrt PI) (sqrt (/ 1 k))) into (sqrt (* PI k)) 1540336162.806 * [misc]approximate: Taking taylor expansion of (sqrt (* PI k)) in (k) around 0 1540336162.806 * [misc]taylor: Taking taylor expansion of (sqrt (* PI k)) in k 1540336162.806 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336162.806 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.806 * [misc]backup-simplify: Simplify PI into PI 1540336162.806 * [misc]taylor: Taking taylor expansion of k in k 1540336162.806 * [misc]backup-simplify: Simplify 0 into 0 1540336162.806 * [misc]backup-simplify: Simplify 1 into 1 1540336162.806 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336162.807 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336162.807 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.807 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336162.807 * [misc]taylor: Taking taylor expansion of (sqrt (* PI k)) in k 1540336162.807 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540336162.807 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.807 * [misc]backup-simplify: Simplify PI into PI 1540336162.807 * [misc]taylor: Taking taylor expansion of k in k 1540336162.807 * [misc]backup-simplify: Simplify 0 into 0 1540336162.807 * [misc]backup-simplify: Simplify 1 into 1 1540336162.807 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540336162.808 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540336162.808 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.808 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540336162.808 * [misc]backup-simplify: Simplify 0 into 0 1540336162.809 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1540336162.809 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540336162.810 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540336162.810 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1540336162.811 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540336162.813 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540336162.813 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1540336162.814 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 k) 3)) (+ (* (* +nan.0 (pow PI 2)) (pow (/ 1 k) 2)) (* (* +nan.0 PI) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow PI 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow PI 3) (pow k 3))) (- (* +nan.0 (/ PI k))))))) 1540336162.814 * [misc]backup-simplify: Simplify (/ (sqrt PI) (sqrt (/ 1 (- k)))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) 1540336162.814 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in (k) around 0 1540336162.814 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540336162.814 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540336162.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336162.814 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336162.814 * [misc]taylor: Taking taylor expansion of -1 in k 1540336162.814 * [misc]backup-simplify: Simplify -1 into -1 1540336162.814 * [misc]taylor: Taking taylor expansion of k in k 1540336162.814 * [misc]backup-simplify: Simplify 0 into 0 1540336162.814 * [misc]backup-simplify: Simplify 1 into 1 1540336162.814 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336162.815 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.815 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336162.815 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540336162.815 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540336162.815 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.815 * [misc]backup-simplify: Simplify PI into PI 1540336162.815 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540336162.816 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540336162.816 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt PI)) in k 1540336162.816 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540336162.816 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540336162.816 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540336162.816 * [misc]taylor: Taking taylor expansion of -1 in k 1540336162.816 * [misc]backup-simplify: Simplify -1 into -1 1540336162.816 * [misc]taylor: Taking taylor expansion of k in k 1540336162.816 * [misc]backup-simplify: Simplify 0 into 0 1540336162.816 * [misc]backup-simplify: Simplify 1 into 1 1540336162.816 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540336162.816 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540336162.816 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540336162.816 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540336162.816 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540336162.816 * [misc]taylor: Taking taylor expansion of PI in k 1540336162.816 * [misc]backup-simplify: Simplify PI into PI 1540336162.817 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540336162.817 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540336162.817 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540336162.818 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI)) 1540336162.818 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540336162.819 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540336162.819 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540336162.820 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540336162.821 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540336162.822 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540336162.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.825 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540336162.826 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1540336162.828 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (sqrt PI)))) into (- (* +nan.0 (sqrt PI))) 1540336162.829 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI))) 1540336162.831 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt PI))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (sqrt PI))) (/ 1 (- k))) (* +nan.0 (sqrt PI)))) into (- (+ (* +nan.0 (* (sqrt PI) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (* +nan.0 (sqrt PI))))))) 1540336162.831 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1540336162.831 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540336162.832 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540336162.832 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336162.832 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.832 * [misc]backup-simplify: Simplify 2 into 2 1540336162.832 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336162.832 * [misc]taylor: Taking taylor expansion of n in n 1540336162.832 * [misc]backup-simplify: Simplify 0 into 0 1540336162.832 * [misc]backup-simplify: Simplify 1 into 1 1540336162.832 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.832 * [misc]backup-simplify: Simplify PI into PI 1540336162.832 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540336162.832 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.832 * [misc]backup-simplify: Simplify 2 into 2 1540336162.832 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540336162.832 * [misc]taylor: Taking taylor expansion of n in n 1540336162.832 * [misc]backup-simplify: Simplify 0 into 0 1540336162.832 * [misc]backup-simplify: Simplify 1 into 1 1540336162.832 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.832 * [misc]backup-simplify: Simplify PI into PI 1540336162.833 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540336162.833 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540336162.833 * [misc]backup-simplify: Simplify 0 into 0 1540336162.833 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540336162.834 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540336162.834 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336162.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540336162.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540336162.837 * [misc]backup-simplify: Simplify 0 into 0 1540336162.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336162.840 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540336162.840 * [misc]backup-simplify: Simplify 0 into 0 1540336162.841 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336162.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540336162.842 * [misc]backup-simplify: Simplify 0 into 0 1540336162.844 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336162.846 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540336162.846 * [misc]backup-simplify: Simplify 0 into 0 1540336162.848 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336162.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540336162.850 * [misc]backup-simplify: Simplify 0 into 0 1540336162.852 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540336162.855 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540336162.855 * [misc]backup-simplify: Simplify 0 into 0 1540336162.855 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540336162.855 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540336162.855 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540336162.855 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336162.855 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.855 * [misc]backup-simplify: Simplify 2 into 2 1540336162.855 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336162.855 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.855 * [misc]backup-simplify: Simplify PI into PI 1540336162.855 * [misc]taylor: Taking taylor expansion of n in n 1540336162.855 * [misc]backup-simplify: Simplify 0 into 0 1540336162.855 * [misc]backup-simplify: Simplify 1 into 1 1540336162.855 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336162.855 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540336162.855 * [misc]taylor: Taking taylor expansion of 2 in n 1540336162.856 * [misc]backup-simplify: Simplify 2 into 2 1540336162.856 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336162.856 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.856 * [misc]backup-simplify: Simplify PI into PI 1540336162.856 * [misc]taylor: Taking taylor expansion of n in n 1540336162.856 * [misc]backup-simplify: Simplify 0 into 0 1540336162.856 * [misc]backup-simplify: Simplify 1 into 1 1540336162.856 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336162.856 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336162.856 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540336162.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336162.857 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540336162.857 * [misc]backup-simplify: Simplify 0 into 0 1540336162.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336162.859 * [misc]backup-simplify: Simplify 0 into 0 1540336162.860 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336162.861 * [misc]backup-simplify: Simplify 0 into 0 1540336162.862 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336162.863 * [misc]backup-simplify: Simplify 0 into 0 1540336162.865 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.866 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336162.866 * [misc]backup-simplify: Simplify 0 into 0 1540336162.868 * [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 1540336162.870 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336162.870 * [misc]backup-simplify: Simplify 0 into 0 1540336162.870 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540336162.870 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540336162.870 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540336162.870 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336162.870 * [misc]taylor: Taking taylor expansion of -2 in n 1540336162.870 * [misc]backup-simplify: Simplify -2 into -2 1540336162.870 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336162.870 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.870 * [misc]backup-simplify: Simplify PI into PI 1540336162.870 * [misc]taylor: Taking taylor expansion of n in n 1540336162.870 * [misc]backup-simplify: Simplify 0 into 0 1540336162.870 * [misc]backup-simplify: Simplify 1 into 1 1540336162.870 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336162.870 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540336162.870 * [misc]taylor: Taking taylor expansion of -2 in n 1540336162.871 * [misc]backup-simplify: Simplify -2 into -2 1540336162.871 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540336162.871 * [misc]taylor: Taking taylor expansion of PI in n 1540336162.871 * [misc]backup-simplify: Simplify PI into PI 1540336162.871 * [misc]taylor: Taking taylor expansion of n in n 1540336162.871 * [misc]backup-simplify: Simplify 0 into 0 1540336162.871 * [misc]backup-simplify: Simplify 1 into 1 1540336162.871 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540336162.871 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336162.871 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540336162.872 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540336162.873 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540336162.873 * [misc]backup-simplify: Simplify 0 into 0 1540336162.874 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.875 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540336162.875 * [misc]backup-simplify: Simplify 0 into 0 1540336162.877 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.879 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540336162.879 * [misc]backup-simplify: Simplify 0 into 0 1540336162.881 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.883 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540336162.883 * [misc]backup-simplify: Simplify 0 into 0 1540336162.886 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540336162.888 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540336162.888 * [misc]backup-simplify: Simplify 0 into 0 1540336162.891 * [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 1540336162.894 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540336162.894 * [misc]backup-simplify: Simplify 0 into 0 1540336162.894 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540336162.895 * * * [misc]progress: simplifying candidates 1540336162.895 * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # 1540336162.895 * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # 1540336162.895 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) 1540336162.895 * * [misc]simplify: iters left: 5 (10 enodes) 1540336162.898 * * [misc]simplify: iters left: 4 (14 enodes) 1540336162.902 * * [misc]simplify: iters left: 3 (18 enodes) 1540336162.907 * * [misc]simplify: iters left: 2 (20 enodes) 1540336162.912 * * [misc]simplify: iters left: 1 (22 enodes) 1540336162.918 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* 2 n))) 1540336162.918 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (pow (* (/ (sqrt PI) (sqrt k)) (sqrt (* 2 n))) 1) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336162.918 * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # 1540336162.918 * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # 1540336162.918 * [enter]simplify: Simplifying (+ (log (sqrt (* 2 n))) (- (log (sqrt PI)) (log (sqrt k)))) 1540336162.918 * * [misc]simplify: iters left: 6 (13 enodes) 1540336162.922 * * [misc]simplify: iters left: 5 (19 enodes) 1540336162.928 * * [misc]simplify: iters left: 4 (26 enodes) 1540336162.935 * * [misc]simplify: iters left: 3 (33 enodes) 1540336162.942 * * [misc]simplify: iters left: 2 (39 enodes) 1540336162.946 * * [misc]simplify: iters left: 1 (50 enodes) 1540336162.954 * [exit]simplify: Simplified to (- (log (sqrt (* 2 n))) (- (log (sqrt k)) (log (sqrt PI)))) 1540336162.954 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt (* 2 n))) (- (log (sqrt k)) (log (sqrt PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336162.954 * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # 1540336162.955 * [enter]simplify: Simplifying (+ (log (sqrt (* 2 n))) (log (/ (sqrt PI) (sqrt k)))) 1540336162.955 * * [misc]simplify: iters left: 6 (12 enodes) 1540336162.956 * * [misc]simplify: iters left: 5 (17 enodes) 1540336162.959 * * [misc]simplify: iters left: 4 (23 enodes) 1540336162.962 * * [misc]simplify: iters left: 3 (32 enodes) 1540336162.967 * * [misc]simplify: iters left: 2 (42 enodes) 1540336162.972 * * [misc]simplify: iters left: 1 (58 enodes) 1540336162.982 * [exit]simplify: Simplified to (+ (log (sqrt (* 2 n))) (log (/ (sqrt PI) (sqrt k)))) 1540336162.982 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (+ (log (sqrt (* 2 n))) (log (/ (sqrt PI) (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336162.982 * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # 1540336162.982 * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # 1540336162.982 * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # 1540336162.982 * [enter]simplify: Simplifying (* (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1540336162.982 * * [misc]simplify: iters left: 6 (16 enodes) 1540336162.988 * * [misc]simplify: iters left: 5 (32 enodes) 1540336163.000 * * [misc]simplify: iters left: 4 (113 enodes) 1540336163.050 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) PI) (sqrt k)) (/ (sqrt (* 2 n)) (/ k (* 2 n)))) 1540336163.051 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (* (sqrt PI) PI) (sqrt k)) (/ (sqrt (* 2 n)) (/ k (* 2 n))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.051 * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # 1540336163.051 * [enter]simplify: Simplifying (* (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n))) (* (* (/ (sqrt PI) (sqrt k)) (/ (sqrt PI) (sqrt k))) (/ (sqrt PI) (sqrt k)))) 1540336163.051 * * [misc]simplify: iters left: 6 (14 enodes) 1540336163.053 * * [misc]simplify: iters left: 5 (28 enodes) 1540336163.059 * * [misc]simplify: iters left: 4 (88 enodes) 1540336163.105 * * [misc]simplify: iters left: 3 (295 enodes) 1540336163.347 * [exit]simplify: Simplified to (* (/ (/ PI (sqrt k)) k) (* (* (sqrt PI) (* 2 n)) (sqrt (* 2 n)))) 1540336163.347 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (/ PI (sqrt k)) k) (* (* (sqrt PI) (* 2 n)) (sqrt (* 2 n))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.347 * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # 1540336163.347 * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # 1540336163.347 * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # 1540336163.347 * [enter]simplify: Simplifying (* (* 2 n) (/ PI k)) 1540336163.347 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.350 * * [misc]simplify: iters left: 3 (13 enodes) 1540336163.354 * * [misc]simplify: iters left: 2 (28 enodes) 1540336163.363 * * [misc]simplify: iters left: 1 (42 enodes) 1540336163.374 * [exit]simplify: Simplified to (* (* 2 n) (/ PI k)) 1540336163.374 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* 2 n) (/ PI k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.374 * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # 1540336163.374 * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # 1540336163.375 * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # 1540336163.375 * [enter]simplify: Simplifying (cbrt (/ (sqrt PI) (sqrt k))) 1540336163.375 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.377 * [exit]simplify: Simplified to (cbrt (/ (sqrt PI) (sqrt k))) 1540336163.377 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (* (cbrt (/ (sqrt PI) (sqrt k))) (cbrt (/ (sqrt PI) (sqrt k))))) (cbrt (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.377 * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # 1540336163.377 * [enter]simplify: Simplifying (sqrt (/ (sqrt PI) (sqrt k))) 1540336163.377 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.379 * [exit]simplify: Simplified to (sqrt (/ (sqrt PI) (sqrt k))) 1540336163.379 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (sqrt (/ (sqrt PI) (sqrt k)))) (sqrt (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.379 * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # 1540336163.379 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.379 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.381 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.381 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.382 * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # 1540336163.382 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.382 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.384 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.384 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k)))) (/ (cbrt (sqrt PI)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.384 * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # 1540336163.384 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt k)) 1540336163.384 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.386 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt k)) 1540336163.386 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1)) (/ (cbrt (sqrt PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.386 * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # 1540336163.387 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.387 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.389 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.389 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt PI)) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.389 * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # 1540336163.389 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.389 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.391 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.391 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) (sqrt (sqrt k)))) (/ (sqrt (sqrt PI)) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.391 * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # 1540336163.392 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt k)) 1540336163.392 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.393 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt k)) 1540336163.393 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) 1)) (/ (sqrt (sqrt PI)) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.393 * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # 1540336163.394 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (sqrt k))) 1540336163.394 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.396 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (sqrt k))) 1540336163.396 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.396 * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # 1540336163.396 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (sqrt k))) 1540336163.396 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.398 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540336163.398 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ 1 (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.398 * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # 1540336163.398 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540336163.398 * * [misc]simplify: iters left: 3 (5 enodes) 1540336163.400 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540336163.400 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (/ 1 1)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.400 * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # 1540336163.400 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540336163.400 * * [misc]simplify: iters left: 3 (5 enodes) 1540336163.402 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540336163.402 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) 1) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.402 * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # 1540336163.402 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540336163.402 * * [misc]simplify: iters left: 3 (4 enodes) 1540336163.403 * * [misc]simplify: iters left: 2 (6 enodes) 1540336163.405 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540336163.405 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (sqrt PI)) (/ 1 (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.405 * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # 1540336163.405 * [enter]simplify: Simplifying (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1540336163.405 * * [misc]simplify: iters left: 6 (6 enodes) 1540336163.407 * * [misc]simplify: iters left: 5 (7 enodes) 1540336163.409 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) 1540336163.409 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))) (* (cbrt (sqrt (* 2 n))) (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.409 * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # 1540336163.409 * [enter]simplify: Simplifying (sqrt 2) 1540336163.409 * * [misc]simplify: iters left: 1 (2 enodes) 1540336163.411 * [exit]simplify: Simplified to (sqrt 2) 1540336163.411 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt 2) (* (sqrt n) (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.411 * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # 1540336163.411 * [enter]simplify: Simplifying (sqrt (sqrt (* 2 n))) 1540336163.411 * * [misc]simplify: iters left: 4 (5 enodes) 1540336163.416 * * [misc]simplify: iters left: 3 (6 enodes) 1540336163.418 * [exit]simplify: Simplified to (sqrt (sqrt (* 2 n))) 1540336163.418 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (sqrt (* 2 n))) (* (sqrt (sqrt (* 2 n))) (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.418 * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # 1540336163.418 * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # 1540336163.419 * [enter]simplify: Simplifying (sqrt k) 1540336163.419 * * [misc]simplify: iters left: 1 (2 enodes) 1540336163.419 * [exit]simplify: Simplified to (sqrt k) 1540336163.419 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.419 * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # 1540336163.419 * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # 1540336163.419 * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # 1540336163.420 * [enter]simplify: Simplifying (- (log (sqrt PI)) (log (sqrt k))) 1540336163.420 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.422 * * [misc]simplify: iters left: 3 (9 enodes) 1540336163.424 * * [misc]simplify: iters left: 2 (10 enodes) 1540336163.427 * [exit]simplify: Simplified to (- (log (sqrt PI)) (log (sqrt k))) 1540336163.427 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (exp (- (log (sqrt PI)) (log (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.427 * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # 1540336163.427 * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # 1540336163.427 * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # 1540336163.427 * [enter]simplify: Simplifying (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1540336163.427 * * [misc]simplify: iters left: 6 (9 enodes) 1540336163.431 * * [misc]simplify: iters left: 5 (18 enodes) 1540336163.436 * * [misc]simplify: iters left: 4 (42 enodes) 1540336163.449 * * [misc]simplify: iters left: 3 (81 enodes) 1540336163.473 * * [misc]simplify: iters left: 2 (130 enodes) 1540336163.511 * * [misc]simplify: iters left: 1 (189 enodes) 1540336163.573 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt k) (/ PI k))) 1540336163.573 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (cbrt (/ (sqrt PI) (/ (sqrt k) (/ PI k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.573 * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # 1540336163.573 * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # 1540336163.573 * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # 1540336163.573 * [enter]simplify: Simplifying (/ PI k) 1540336163.573 * * [misc]simplify: iters left: 2 (3 enodes) 1540336163.574 * [exit]simplify: Simplified to (/ PI k) 1540336163.574 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (/ PI k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.574 * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # 1540336163.574 * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # 1540336163.574 * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # 1540336163.575 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336163.575 * * [misc]simplify: iters left: 6 (9 enodes) 1540336163.576 * * [misc]simplify: iters left: 5 (15 enodes) 1540336163.579 * * [misc]simplify: iters left: 4 (24 enodes) 1540336163.582 * * [misc]simplify: iters left: 3 (27 enodes) 1540336163.585 * * [misc]simplify: iters left: 2 (30 enodes) 1540336163.589 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k)))) 1540336163.589 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (* (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k)))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.589 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.589 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.590 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.590 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.590 * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # 1540336163.590 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) 1540336163.591 * * [misc]simplify: iters left: 6 (8 enodes) 1540336163.592 * * [misc]simplify: iters left: 5 (10 enodes) 1540336163.593 * * [misc]simplify: iters left: 4 (12 enodes) 1540336163.594 * * [misc]simplify: iters left: 3 (13 enodes) 1540336163.596 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) 1540336163.596 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) (/ (cbrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.596 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.597 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.597 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.597 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (sqrt (sqrt k))) (/ (cbrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.598 * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # 1540336163.598 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1) 1540336163.598 * * [misc]simplify: iters left: 6 (6 enodes) 1540336163.599 * * [misc]simplify: iters left: 5 (10 enodes) 1540336163.601 * * [misc]simplify: iters left: 4 (16 enodes) 1540336163.605 * * [misc]simplify: iters left: 3 (18 enodes) 1540336163.608 * * [misc]simplify: iters left: 2 (23 enodes) 1540336163.611 * [exit]simplify: Simplified to (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1540336163.611 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (/ (cbrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.611 * [enter]simplify: Simplifying (/ (cbrt (sqrt PI)) (sqrt k)) 1540336163.611 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.612 * [exit]simplify: Simplified to (/ (cbrt (sqrt PI)) (sqrt k)) 1540336163.612 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (/ (cbrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.612 * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # 1540336163.612 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336163.612 * * [misc]simplify: iters left: 6 (8 enodes) 1540336163.613 * * [misc]simplify: iters left: 5 (10 enodes) 1540336163.615 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540336163.615 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.615 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.615 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.616 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (cbrt (sqrt k))) 1540336163.616 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (sqrt (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt PI)) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.616 * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # 1540336163.616 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.616 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.617 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.617 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) (/ (sqrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.617 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.617 * * [misc]simplify: iters left: 4 (7 enodes) 1540336163.618 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) 1540336163.618 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (sqrt (sqrt PI)) (sqrt (sqrt k))) (/ (sqrt (sqrt PI)) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.618 * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # 1540336163.618 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) 1) 1540336163.618 * * [misc]simplify: iters left: 4 (5 enodes) 1540336163.619 * * [misc]simplify: iters left: 3 (7 enodes) 1540336163.621 * * [misc]simplify: iters left: 2 (9 enodes) 1540336163.621 * [exit]simplify: Simplified to (sqrt (sqrt PI)) 1540336163.621 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (sqrt (sqrt PI)) (/ (sqrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.622 * [enter]simplify: Simplifying (/ (sqrt (sqrt PI)) (sqrt k)) 1540336163.622 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.622 * [exit]simplify: Simplified to (/ (sqrt (sqrt PI)) (sqrt k)) 1540336163.622 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (sqrt (sqrt PI)) (/ (sqrt (sqrt PI)) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.622 * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # 1540336163.623 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540336163.623 * * [misc]simplify: iters left: 6 (6 enodes) 1540336163.624 * * [misc]simplify: iters left: 5 (10 enodes) 1540336163.625 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540336163.625 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.625 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (sqrt k))) 1540336163.625 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.626 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (sqrt k))) 1540336163.626 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.626 * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # 1540336163.626 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540336163.626 * * [misc]simplify: iters left: 4 (5 enodes) 1540336163.627 * * [misc]simplify: iters left: 3 (7 enodes) 1540336163.629 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540336163.629 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.629 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (sqrt k))) 1540336163.629 * * [misc]simplify: iters left: 4 (6 enodes) 1540336163.630 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540336163.630 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.630 * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # 1540336163.630 * [enter]simplify: Simplifying (/ 1 1) 1540336163.630 * * [misc]simplify: iters left: 2 (2 enodes) 1540336163.631 * * [misc]simplify: iters left: 1 (4 enodes) 1540336163.631 * [exit]simplify: Simplified to 1 1540336163.631 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* 1 (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.631 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt k)) 1540336163.631 * * [misc]simplify: iters left: 3 (5 enodes) 1540336163.632 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540336163.632 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* 1 (/ (sqrt PI) (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.632 * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # 1540336163.632 * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # 1540336163.632 * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # 1540336163.632 * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # 1540336163.632 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540336163.632 * * [misc]simplify: iters left: 2 (3 enodes) 1540336163.633 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540336163.633 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.633 * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # 1540336163.633 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540336163.633 * * [misc]simplify: iters left: 2 (3 enodes) 1540336163.633 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540336163.633 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt k)))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.633 * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # 1540336163.634 * [enter]simplify: Simplifying (sqrt k) 1540336163.634 * * [misc]simplify: iters left: 1 (2 enodes) 1540336163.634 * [exit]simplify: Simplified to (sqrt k) 1540336163.634 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (/ (sqrt PI) 1) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.634 * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # 1540336163.634 * [enter]simplify: Simplifying (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1540336163.634 * * [misc]simplify: iters left: 4 (4 enodes) 1540336163.635 * [exit]simplify: Simplified to (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1540336163.635 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (/ (sqrt k) (cbrt (sqrt PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.635 * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # 1540336163.635 * [enter]simplify: Simplifying (sqrt (sqrt PI)) 1540336163.635 * * [misc]simplify: iters left: 2 (3 enodes) 1540336163.635 * [exit]simplify: Simplified to (sqrt (sqrt PI)) 1540336163.635 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt (sqrt PI)) (/ (sqrt k) (sqrt (sqrt PI))))) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.635 * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # 1540336163.635 * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # 1540336163.635 * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # 1540336163.635 * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # 1540336163.636 * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # 1540336163.636 * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # 1540336163.636 * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # 1540336163.636 * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # 1540336163.636 * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # 1540336163.636 * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # 1540336163.636 * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # 1540336163.636 * [enter]simplify: Simplifying (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* PI (* n 2)) (- (/ k 2)))) 1540336163.636 * * [misc]simplify: iters left: 6 (16 enodes) 1540336163.638 * * [misc]simplify: iters left: 5 (27 enodes) 1540336163.643 * * [misc]simplify: iters left: 4 (49 enodes) 1540336163.650 * * [misc]simplify: iters left: 3 (66 enodes) 1540336163.664 * * [misc]simplify: iters left: 2 (77 enodes) 1540336163.684 * * [misc]simplify: iters left: 1 (100 enodes) 1540336163.714 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI)))) 1540336163.715 * [misc]simplify: Simplified (2) to (λ (k n) (* (pow (* n (* PI 2)) (- (/ k 2))) (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))))) 1540336163.715 * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # 1540336163.715 * [enter]simplify: Simplifying (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) 1540336163.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.715 * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # 1540336163.715 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) 1540336163.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.715 * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # 1540336163.716 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (+ (* +nan.0 (* (/ 1 n) (sqrt PI))) (- (* +nan.0 (sqrt PI))))))) 1540336163.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.716 * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # 1540336163.716 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow PI 3) (pow k 2))) (- (+ (* +nan.0 (* (pow PI 2) k)) (- (* +nan.0 PI)))))) 1540336163.716 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) +nan.0) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.716 * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # 1540336163.716 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow PI 3) (pow k 3))) (- (* +nan.0 (/ PI k))))))) 1540336163.716 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) +nan.0) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.716 * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # 1540336163.716 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt PI) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (* +nan.0 (sqrt PI))))))) 1540336163.717 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (* 2 n)) +nan.0) (pow (* PI (* n 2)) (- (/ k 2))))) 1540336163.717 * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # 1540336163.717 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336163.717 * * [misc]simplify: iters left: 4 (5 enodes) 1540336163.719 * * [misc]simplify: iters left: 3 (9 enodes) 1540336163.722 * * [misc]simplify: iters left: 2 (15 enodes) 1540336163.726 * * [misc]simplify: iters left: 1 (17 enodes) 1540336163.730 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336163.730 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* (* PI n) 2) (- (/ k 2))))) 1540336163.730 * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # 1540336163.730 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336163.730 * * [misc]simplify: iters left: 4 (5 enodes) 1540336163.732 * * [misc]simplify: iters left: 3 (9 enodes) 1540336163.734 * * [misc]simplify: iters left: 2 (15 enodes) 1540336163.739 * * [misc]simplify: iters left: 1 (17 enodes) 1540336163.743 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336163.743 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* (* PI n) 2) (- (/ k 2))))) 1540336163.743 * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # 1540336163.743 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540336163.743 * * [misc]simplify: iters left: 4 (5 enodes) 1540336163.745 * * [misc]simplify: iters left: 3 (9 enodes) 1540336163.748 * * [misc]simplify: iters left: 2 (15 enodes) 1540336163.752 * * [misc]simplify: iters left: 1 (17 enodes) 1540336163.756 * [exit]simplify: Simplified to (* (* PI n) 2) 1540336163.756 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (pow (* (* PI n) 2) (- (/ k 2))))) 1540336163.756 * * * [misc]progress: adding candidates to table 1540336164.922 * [misc]progress: [Phase 3 of 3] Extracting. 1540336164.922 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1540336164.925 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1540336164.925 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1540336165.004 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1540336165.049 * * * [misc]regime: Found split indices: #