1537433106.342 * [misc]progress: [Phase 1 of 3] Setting up. 1537433106.342 * * * [misc]progress: [1/2] Preparing points 1537433106.342 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1537433106.344 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1537433106.349 * * * * [misc]points: Setting MPFR precision to 64 1537433106.351 * * * * [misc]points: Setting MPFR precision to 320 1537433106.353 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1537433106.360 * * * * [misc]points: Setting MPFR precision to 64 1537433106.362 * * * * [misc]points: Setting MPFR precision to 320 1537433106.365 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1537433106.372 * * * * [misc]points: Setting MPFR precision to 64 1537433106.376 * * * * [misc]points: Setting MPFR precision to 320 1537433106.381 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1537433106.388 * * * * [misc]points: Setting MPFR precision to 64 1537433106.395 * * * * [misc]points: Setting MPFR precision to 320 1537433106.403 * * * * [misc]points: Setting MPFR precision to 576 1537433106.411 * * * * [misc]points: Setting MPFR precision to 832 1537433106.420 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.426 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.431 * * * * [misc]points: Computing exacts for 256 points 1537433106.451 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.466 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.479 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433106.480 * * * * [misc]points: Sampling 208 additional inputs, on iter 1 have 48 / 256 1537433106.481 * * * * [misc]points: Computing exacts on every 13 of 208 points to ramp up precision 1537433106.490 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.491 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.492 * * * * [misc]points: Computing exacts on every 6 of 208 points to ramp up precision 1537433106.517 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.520 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.523 * * * * [misc]points: Computing exacts on every 3 of 208 points to ramp up precision 1537433106.543 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.545 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.548 * * * * [misc]points: Computing exacts for 208 points 1537433106.561 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.573 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.594 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433106.594 * * * * [misc]points: Sampling 163 additional inputs, on iter 2 have 93 / 256 1537433106.596 * * * * [misc]points: Computing exacts on every 10 of 163 points to ramp up precision 1537433106.616 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.618 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.619 * * * * [misc]points: Computing exacts on every 5 of 163 points to ramp up precision 1537433106.639 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.652 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.654 * * * * [misc]points: Computing exacts on every 2 of 163 points to ramp up precision 1537433106.671 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.674 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.677 * * * * [misc]points: Computing exacts for 163 points 1537433106.687 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.695 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.707 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433106.707 * * * * [misc]points: Sampling 136 additional inputs, on iter 3 have 120 / 256 1537433106.709 * * * * [misc]points: Computing exacts on every 8 of 136 points to ramp up precision 1537433106.741 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.743 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.744 * * * * [misc]points: Computing exacts on every 4 of 136 points to ramp up precision 1537433106.755 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.757 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.758 * * * * [misc]points: Computing exacts on every 2 of 136 points to ramp up precision 1537433106.771 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.774 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.776 * * * * [misc]points: Computing exacts for 136 points 1537433106.788 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.803 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.817 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433106.817 * * * * [misc]points: Sampling 105 additional inputs, on iter 4 have 151 / 256 1537433106.819 * * * * [misc]points: Computing exacts on every 6 of 105 points to ramp up precision 1537433106.839 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.840 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.842 * * * * [misc]points: Computing exacts on every 3 of 105 points to ramp up precision 1537433106.873 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.876 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.878 * * * * [misc]points: Computing exacts for 105 points 1537433106.898 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.904 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.909 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433106.910 * * * * [misc]points: Sampling 89 additional inputs, on iter 5 have 167 / 256 1537433106.910 * * * * [misc]points: Computing exacts on every 5 of 89 points to ramp up precision 1537433106.925 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.926 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.927 * * * * [misc]points: Computing exacts on every 2 of 89 points to ramp up precision 1537433106.942 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.945 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.948 * * * * [misc]points: Computing exacts for 89 points 1537433106.969 * * * * [misc]points: Setting MPFR precision to 1088 1537433106.978 * * * * [misc]points: Setting MPFR precision to 1344 1537433106.995 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433106.996 * * * * [misc]points: Sampling 67 additional inputs, on iter 6 have 189 / 256 1537433106.996 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision 1537433107.010 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.011 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.012 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision 1537433107.022 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.023 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.025 * * * * [misc]points: Computing exacts for 67 points 1537433107.038 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.045 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.052 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.052 * * * * [misc]points: Sampling 53 additional inputs, on iter 7 have 203 / 256 1537433107.053 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision 1537433107.068 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.069 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.070 * * * * [misc]points: Computing exacts for 53 points 1537433107.079 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.082 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.090 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.090 * * * * [misc]points: Sampling 45 additional inputs, on iter 8 have 211 / 256 1537433107.090 * * * * [misc]points: Computing exacts on every 2 of 45 points to ramp up precision 1537433107.105 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.107 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.108 * * * * [misc]points: Computing exacts for 45 points 1537433107.126 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.129 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.131 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.131 * * * * [misc]points: Sampling 35 additional inputs, on iter 9 have 221 / 256 1537433107.131 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision 1537433107.145 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.146 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.146 * * * * [misc]points: Computing exacts for 35 points 1537433107.156 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.159 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.161 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.161 * * * * [misc]points: Sampling 28 additional inputs, on iter 10 have 228 / 256 1537433107.161 * * * * [misc]points: Computing exacts for 28 points 1537433107.171 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.173 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.174 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.174 * * * * [misc]points: Sampling 21 additional inputs, on iter 11 have 235 / 256 1537433107.174 * * * * [misc]points: Computing exacts for 21 points 1537433107.188 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.190 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.191 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.191 * * * * [misc]points: Sampling 17 additional inputs, on iter 12 have 239 / 256 1537433107.191 * * * * [misc]points: Computing exacts for 17 points 1537433107.201 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.202 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.203 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.203 * * * * [misc]points: Sampling 12 additional inputs, on iter 13 have 244 / 256 1537433107.203 * * * * [misc]points: Computing exacts for 12 points 1537433107.216 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.217 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.219 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.219 * * * * [misc]points: Sampling 10 additional inputs, on iter 14 have 246 / 256 1537433107.219 * * * * [misc]points: Computing exacts for 10 points 1537433107.240 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.242 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.243 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.243 * * * * [misc]points: Sampling 7 additional inputs, on iter 15 have 249 / 256 1537433107.243 * * * * [misc]points: Computing exacts for 7 points 1537433107.263 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.264 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.265 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.265 * * * * [misc]points: Sampling 6 additional inputs, on iter 16 have 250 / 256 1537433107.265 * * * * [misc]points: Computing exacts for 6 points 1537433107.290 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.291 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.291 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.291 * * * * [misc]points: Sampling 5 additional inputs, on iter 17 have 251 / 256 1537433107.292 * * * * [misc]points: Computing exacts for 5 points 1537433107.302 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.302 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.302 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.302 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 1537433107.302 * * * * [misc]points: Computing exacts for 4 points 1537433107.312 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.312 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.313 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.313 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1537433107.313 * * * * [misc]points: Computing exacts for 4 points 1537433107.327 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.327 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.327 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.327 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 253 / 256 1537433107.328 * * * * [misc]points: Computing exacts for 4 points 1537433107.348 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.348 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.349 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.349 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 254 / 256 1537433107.349 * * * * [misc]points: Computing exacts for 4 points 1537433107.373 * * * * [misc]points: Setting MPFR precision to 1088 1537433107.374 * * * * [misc]points: Setting MPFR precision to 1344 1537433107.374 * * * * [misc]points: Filtering points with unrepresentable outputs 1537433107.374 * * * * [exit]points: Sampled 256 points with exact outputs 1537433107.375 * * * [misc]progress: [2/2] Setting up program. 1537433107.384 * [misc]progress: [Phase 2 of 3] Improving. 1537433107.385 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1537433107.386 * * [misc]simplify: iters left: 6 (13 enodes) 1537433107.391 * * [misc]simplify: iters left: 5 (28 enodes) 1537433107.396 * * [misc]simplify: iters left: 4 (44 enodes) 1537433107.405 * * [misc]simplify: iters left: 3 (54 enodes) 1537433107.411 * * [misc]simplify: iters left: 2 (57 enodes) 1537433107.418 * * [misc]simplify: iters left: 1 (65 enodes) 1537433107.429 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537433107.447 * * [misc]progress: iteration 1 / 4 1537433107.447 * * * [misc]progress: picking best candidate 1537433107.461 * * * * [misc]pick: Picked # 1537433107.461 * * * [misc]progress: localizing error 1537433107.504 * * * [misc]progress: generating rewritten candidates 1537433107.504 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1537433107.516 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1537433107.574 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1537433107.608 * * * [misc]progress: generating series expansions 1537433107.608 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1537433107.608 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537433107.608 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433107.608 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433107.608 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.608 * [misc]backup-simplify: Simplify 2 into 2 1537433107.608 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433107.608 * [misc]taylor: Taking taylor expansion of n in n 1537433107.608 * [misc]backup-simplify: Simplify 0 into 0 1537433107.608 * [misc]backup-simplify: Simplify 1 into 1 1537433107.608 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.608 * [misc]backup-simplify: Simplify PI into PI 1537433107.608 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433107.609 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.609 * [misc]backup-simplify: Simplify 2 into 2 1537433107.609 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433107.609 * [misc]taylor: Taking taylor expansion of n in n 1537433107.609 * [misc]backup-simplify: Simplify 0 into 0 1537433107.609 * [misc]backup-simplify: Simplify 1 into 1 1537433107.609 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.609 * [misc]backup-simplify: Simplify PI into PI 1537433107.609 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433107.610 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433107.610 * [misc]backup-simplify: Simplify 0 into 0 1537433107.610 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433107.611 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433107.611 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433107.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433107.614 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433107.614 * [misc]backup-simplify: Simplify 0 into 0 1537433107.615 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433107.617 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433107.617 * [misc]backup-simplify: Simplify 0 into 0 1537433107.619 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433107.622 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433107.622 * [misc]backup-simplify: Simplify 0 into 0 1537433107.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433107.628 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433107.628 * [misc]backup-simplify: Simplify 0 into 0 1537433107.631 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433107.634 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433107.635 * [misc]backup-simplify: Simplify 0 into 0 1537433107.638 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433107.643 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433107.643 * [misc]backup-simplify: Simplify 0 into 0 1537433107.643 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433107.644 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537433107.644 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433107.644 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433107.644 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.644 * [misc]backup-simplify: Simplify 2 into 2 1537433107.644 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.644 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.644 * [misc]backup-simplify: Simplify PI into PI 1537433107.644 * [misc]taylor: Taking taylor expansion of n in n 1537433107.644 * [misc]backup-simplify: Simplify 0 into 0 1537433107.644 * [misc]backup-simplify: Simplify 1 into 1 1537433107.644 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.644 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433107.644 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.644 * [misc]backup-simplify: Simplify 2 into 2 1537433107.644 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.644 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.644 * [misc]backup-simplify: Simplify PI into PI 1537433107.644 * [misc]taylor: Taking taylor expansion of n in n 1537433107.644 * [misc]backup-simplify: Simplify 0 into 0 1537433107.644 * [misc]backup-simplify: Simplify 1 into 1 1537433107.645 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.645 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433107.645 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433107.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433107.647 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433107.647 * [misc]backup-simplify: Simplify 0 into 0 1537433107.648 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.649 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433107.650 * [misc]backup-simplify: Simplify 0 into 0 1537433107.651 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.653 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433107.653 * [misc]backup-simplify: Simplify 0 into 0 1537433107.655 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.657 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433107.657 * [misc]backup-simplify: Simplify 0 into 0 1537433107.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.662 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433107.662 * [misc]backup-simplify: Simplify 0 into 0 1537433107.664 * [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 1537433107.667 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433107.667 * [misc]backup-simplify: Simplify 0 into 0 1537433107.668 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433107.668 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537433107.668 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433107.668 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433107.668 * [misc]taylor: Taking taylor expansion of -2 in n 1537433107.668 * [misc]backup-simplify: Simplify -2 into -2 1537433107.668 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.668 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.668 * [misc]backup-simplify: Simplify PI into PI 1537433107.668 * [misc]taylor: Taking taylor expansion of n in n 1537433107.668 * [misc]backup-simplify: Simplify 0 into 0 1537433107.668 * [misc]backup-simplify: Simplify 1 into 1 1537433107.669 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.669 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433107.669 * [misc]taylor: Taking taylor expansion of -2 in n 1537433107.669 * [misc]backup-simplify: Simplify -2 into -2 1537433107.669 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.669 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.669 * [misc]backup-simplify: Simplify PI into PI 1537433107.669 * [misc]taylor: Taking taylor expansion of n in n 1537433107.669 * [misc]backup-simplify: Simplify 0 into 0 1537433107.669 * [misc]backup-simplify: Simplify 1 into 1 1537433107.669 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.669 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433107.670 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433107.671 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433107.671 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433107.671 * [misc]backup-simplify: Simplify 0 into 0 1537433107.673 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.674 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433107.674 * [misc]backup-simplify: Simplify 0 into 0 1537433107.676 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.677 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433107.677 * [misc]backup-simplify: Simplify 0 into 0 1537433107.679 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.681 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433107.681 * [misc]backup-simplify: Simplify 0 into 0 1537433107.683 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.686 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433107.686 * [misc]backup-simplify: Simplify 0 into 0 1537433107.688 * [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 1537433107.692 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433107.692 * [misc]backup-simplify: Simplify 0 into 0 1537433107.692 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433107.692 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1537433107.693 * [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)))) 1537433107.693 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1537433107.693 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1537433107.693 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537433107.693 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433107.693 * [misc]taylor: Taking taylor expansion of k in k 1537433107.693 * [misc]backup-simplify: Simplify 0 into 0 1537433107.693 * [misc]backup-simplify: Simplify 1 into 1 1537433107.694 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433107.694 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433107.694 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433107.694 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537433107.694 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537433107.694 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537433107.694 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537433107.694 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.694 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433107.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.695 * [misc]taylor: Taking taylor expansion of k in k 1537433107.695 * [misc]backup-simplify: Simplify 0 into 0 1537433107.695 * [misc]backup-simplify: Simplify 1 into 1 1537433107.695 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537433107.695 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537433107.695 * [misc]taylor: Taking taylor expansion of 2 in k 1537433107.695 * [misc]backup-simplify: Simplify 2 into 2 1537433107.695 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433107.695 * [misc]taylor: Taking taylor expansion of n in k 1537433107.695 * [misc]backup-simplify: Simplify n into n 1537433107.695 * [misc]taylor: Taking taylor expansion of PI in k 1537433107.695 * [misc]backup-simplify: Simplify PI into PI 1537433107.695 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433107.695 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537433107.695 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537433107.696 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433107.696 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.696 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433107.696 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537433107.696 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537433107.696 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537433107.696 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537433107.696 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433107.696 * [misc]taylor: Taking taylor expansion of k in n 1537433107.696 * [misc]backup-simplify: Simplify k into k 1537433107.696 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433107.697 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537433107.697 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433107.697 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537433107.697 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.697 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.697 * [misc]taylor: Taking taylor expansion of k in n 1537433107.697 * [misc]backup-simplify: Simplify k into k 1537433107.697 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.697 * [misc]backup-simplify: Simplify 2 into 2 1537433107.697 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433107.697 * [misc]taylor: Taking taylor expansion of n in n 1537433107.697 * [misc]backup-simplify: Simplify 0 into 0 1537433107.697 * [misc]backup-simplify: Simplify 1 into 1 1537433107.697 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.697 * [misc]backup-simplify: Simplify PI into PI 1537433107.698 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433107.698 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433107.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433107.699 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433107.700 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433107.700 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433107.700 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537433107.700 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537433107.701 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433107.702 * [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)))) 1537433107.702 * [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))))) 1537433107.702 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537433107.702 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537433107.702 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433107.702 * [misc]taylor: Taking taylor expansion of k in n 1537433107.702 * [misc]backup-simplify: Simplify k into k 1537433107.703 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433107.703 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537433107.703 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433107.703 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537433107.703 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.703 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.703 * [misc]taylor: Taking taylor expansion of k in n 1537433107.703 * [misc]backup-simplify: Simplify k into k 1537433107.703 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.703 * [misc]backup-simplify: Simplify 2 into 2 1537433107.703 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433107.703 * [misc]taylor: Taking taylor expansion of n in n 1537433107.703 * [misc]backup-simplify: Simplify 0 into 0 1537433107.703 * [misc]backup-simplify: Simplify 1 into 1 1537433107.703 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.703 * [misc]backup-simplify: Simplify PI into PI 1537433107.704 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433107.704 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433107.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433107.705 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433107.705 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433107.705 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433107.705 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537433107.705 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537433107.705 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433107.706 * [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)))) 1537433107.706 * [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))))) 1537433107.707 * [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))) 1537433107.707 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.707 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.707 * [misc]taylor: Taking taylor expansion of k in k 1537433107.707 * [misc]backup-simplify: Simplify 0 into 0 1537433107.707 * [misc]backup-simplify: Simplify 1 into 1 1537433107.707 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of n in k 1537433107.707 * [misc]backup-simplify: Simplify n into n 1537433107.707 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433107.707 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433107.707 * [misc]taylor: Taking taylor expansion of 2 in k 1537433107.707 * [misc]backup-simplify: Simplify 2 into 2 1537433107.707 * [misc]taylor: Taking taylor expansion of PI in k 1537433107.707 * [misc]backup-simplify: Simplify PI into PI 1537433107.708 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433107.708 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433107.708 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433107.708 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.708 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433107.709 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433107.709 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537433107.709 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433107.709 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537433107.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433107.709 * [misc]taylor: Taking taylor expansion of k in k 1537433107.709 * [misc]backup-simplify: Simplify 0 into 0 1537433107.709 * [misc]backup-simplify: Simplify 1 into 1 1537433107.710 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433107.710 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433107.710 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433107.710 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1537433107.710 * [misc]backup-simplify: Simplify 0 into 0 1537433107.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433107.715 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433107.717 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433107.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537433107.717 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.718 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433107.718 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537433107.719 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433107.720 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1537433107.720 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.720 * [misc]backup-simplify: Simplify 0 into 0 1537433107.721 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537433107.721 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433107.723 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433107.724 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.724 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537433107.724 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537433107.724 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537433107.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537433107.727 * [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))))))) 1537433107.730 * [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))))))) 1537433107.730 * [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))))))) 1537433107.732 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433107.734 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433107.740 * [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 1537433107.740 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537433107.740 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433107.741 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433107.743 * [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 1537433107.743 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433107.744 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1537433107.745 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1537433107.745 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.745 * [misc]backup-simplify: Simplify 0 into 0 1537433107.745 * [misc]backup-simplify: Simplify 0 into 0 1537433107.745 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1537433107.746 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433107.747 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537433107.748 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433107.751 * [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 1537433107.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.752 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537433107.752 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.752 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433107.755 * [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))))) 1537433107.759 * [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)))))))) 1537433107.761 * [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)))))))) 1537433107.762 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433107.764 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433107.769 * [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 1537433107.769 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537433107.770 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.770 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433107.771 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537433107.774 * [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 1537433107.775 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433107.775 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1537433107.776 * [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 1537433107.776 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.776 * [misc]backup-simplify: Simplify 0 into 0 1537433107.776 * [misc]backup-simplify: Simplify 0 into 0 1537433107.777 * [misc]backup-simplify: Simplify 0 into 0 1537433107.777 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.778 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537433107.781 * [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 1537433107.783 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433107.792 * [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 1537433107.793 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.793 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537433107.793 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.794 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.795 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537433107.802 * [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))))))) 1537433107.820 * [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)))))))))))))) 1537433107.832 * [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)))))))))))))) 1537433107.853 * [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)))))))))))))))))))))) 1537433107.854 * [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))))) 1537433107.854 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1537433107.854 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1537433107.854 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537433107.854 * [misc]taylor: Taking taylor expansion of k in k 1537433107.854 * [misc]backup-simplify: Simplify 0 into 0 1537433107.854 * [misc]backup-simplify: Simplify 1 into 1 1537433107.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433107.855 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433107.855 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.855 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.855 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of k in k 1537433107.855 * [misc]backup-simplify: Simplify 0 into 0 1537433107.855 * [misc]backup-simplify: Simplify 1 into 1 1537433107.855 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433107.855 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537433107.855 * [misc]taylor: Taking taylor expansion of 2 in k 1537433107.856 * [misc]backup-simplify: Simplify 2 into 2 1537433107.856 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433107.856 * [misc]taylor: Taking taylor expansion of PI in k 1537433107.856 * [misc]backup-simplify: Simplify PI into PI 1537433107.856 * [misc]taylor: Taking taylor expansion of n in k 1537433107.856 * [misc]backup-simplify: Simplify n into n 1537433107.856 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433107.856 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537433107.856 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537433107.856 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433107.856 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537433107.856 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537433107.857 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537433107.857 * [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)))) 1537433107.857 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537433107.857 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537433107.857 * [misc]taylor: Taking taylor expansion of k in n 1537433107.857 * [misc]backup-simplify: Simplify k into k 1537433107.857 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537433107.857 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537433107.857 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537433107.857 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537433107.857 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537433107.857 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537433107.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.857 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433107.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433107.858 * [misc]taylor: Taking taylor expansion of k in n 1537433107.858 * [misc]backup-simplify: Simplify k into k 1537433107.858 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433107.858 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433107.858 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433107.858 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.858 * [misc]backup-simplify: Simplify 2 into 2 1537433107.858 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.858 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.858 * [misc]backup-simplify: Simplify PI into PI 1537433107.858 * [misc]taylor: Taking taylor expansion of n in n 1537433107.858 * [misc]backup-simplify: Simplify 0 into 0 1537433107.858 * [misc]backup-simplify: Simplify 1 into 1 1537433107.858 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.858 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433107.859 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433107.859 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433107.859 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537433107.859 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537433107.860 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433107.861 * [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))) 1537433107.861 * [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)))) 1537433107.862 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of k in n 1537433107.862 * [misc]backup-simplify: Simplify k into k 1537433107.862 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537433107.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537433107.862 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of k in n 1537433107.862 * [misc]backup-simplify: Simplify k into k 1537433107.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433107.862 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.862 * [misc]backup-simplify: Simplify 2 into 2 1537433107.862 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.862 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.862 * [misc]backup-simplify: Simplify PI into PI 1537433107.862 * [misc]taylor: Taking taylor expansion of n in n 1537433107.862 * [misc]backup-simplify: Simplify 0 into 0 1537433107.862 * [misc]backup-simplify: Simplify 1 into 1 1537433107.863 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.863 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433107.864 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433107.864 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433107.864 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537433107.864 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537433107.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433107.865 * [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))) 1537433107.866 * [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)))) 1537433107.867 * [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)) 1537433107.867 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1537433107.867 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537433107.867 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537433107.867 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537433107.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.867 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433107.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433107.867 * [misc]taylor: Taking taylor expansion of k in k 1537433107.867 * [misc]backup-simplify: Simplify 0 into 0 1537433107.867 * [misc]backup-simplify: Simplify 1 into 1 1537433107.867 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433107.867 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433107.868 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433107.868 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433107.868 * [misc]taylor: Taking taylor expansion of 2 in k 1537433107.868 * [misc]backup-simplify: Simplify 2 into 2 1537433107.868 * [misc]taylor: Taking taylor expansion of PI in k 1537433107.868 * [misc]backup-simplify: Simplify PI into PI 1537433107.868 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433107.868 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433107.868 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433107.869 * [misc]taylor: Taking taylor expansion of n in k 1537433107.869 * [misc]backup-simplify: Simplify n into n 1537433107.869 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433107.869 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433107.869 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537433107.869 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537433107.869 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433107.870 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433107.870 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537433107.871 * [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)))) 1537433107.871 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537433107.871 * [misc]taylor: Taking taylor expansion of k in k 1537433107.871 * [misc]backup-simplify: Simplify 0 into 0 1537433107.871 * [misc]backup-simplify: Simplify 1 into 1 1537433107.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433107.872 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433107.873 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1537433107.873 * [misc]backup-simplify: Simplify 0 into 0 1537433107.874 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433107.875 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433107.878 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433107.878 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433107.878 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537433107.878 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.879 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433107.880 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537433107.881 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433107.882 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1537433107.882 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.882 * [misc]backup-simplify: Simplify 0 into 0 1537433107.882 * [misc]backup-simplify: Simplify 0 into 0 1537433107.883 * [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)))))) 1537433107.884 * [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)))))) 1537433107.886 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.887 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433107.893 * [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 1537433107.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433107.893 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537433107.893 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433107.895 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537433107.898 * [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 1537433107.898 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1537433107.899 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1537433107.899 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.899 * [misc]backup-simplify: Simplify 0 into 0 1537433107.899 * [misc]backup-simplify: Simplify 0 into 0 1537433107.899 * [misc]backup-simplify: Simplify 0 into 0 1537433107.900 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433107.902 * [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)))))) 1537433107.902 * [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)))))) 1537433107.905 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.906 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433107.915 * [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 1537433107.916 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433107.916 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537433107.916 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.917 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433107.918 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537433107.922 * [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 1537433107.922 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1537433107.923 * [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 1537433107.923 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.923 * [misc]backup-simplify: Simplify 0 into 0 1537433107.924 * [misc]backup-simplify: Simplify 0 into 0 1537433107.924 * [misc]backup-simplify: Simplify 0 into 0 1537433107.924 * [misc]backup-simplify: Simplify 0 into 0 1537433107.925 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537433107.926 * [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)))))) 1537433107.927 * [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)))))) 1537433107.930 * [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)))))))) 1537433107.931 * [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))) 1537433107.931 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1537433107.931 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of k in k 1537433107.931 * [misc]backup-simplify: Simplify 0 into 0 1537433107.931 * [misc]backup-simplify: Simplify 1 into 1 1537433107.931 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433107.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.931 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of -2 in k 1537433107.931 * [misc]backup-simplify: Simplify -2 into -2 1537433107.931 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433107.931 * [misc]taylor: Taking taylor expansion of PI in k 1537433107.931 * [misc]backup-simplify: Simplify PI into PI 1537433107.931 * [misc]taylor: Taking taylor expansion of n in k 1537433107.931 * [misc]backup-simplify: Simplify n into n 1537433107.932 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433107.932 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433107.932 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537433107.932 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433107.932 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433107.932 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537433107.933 * [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))) 1537433107.933 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433107.933 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433107.933 * [misc]taylor: Taking taylor expansion of -1 in k 1537433107.933 * [misc]backup-simplify: Simplify -1 into -1 1537433107.933 * [misc]taylor: Taking taylor expansion of k in k 1537433107.933 * [misc]backup-simplify: Simplify 0 into 0 1537433107.933 * [misc]backup-simplify: Simplify 1 into 1 1537433107.933 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433107.933 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433107.934 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433107.934 * [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)))) 1537433107.934 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537433107.934 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537433107.934 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537433107.934 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537433107.934 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537433107.934 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433107.934 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.934 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433107.934 * [misc]taylor: Taking taylor expansion of k in n 1537433107.934 * [misc]backup-simplify: Simplify k into k 1537433107.934 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433107.934 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.935 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433107.935 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433107.935 * [misc]taylor: Taking taylor expansion of -2 in n 1537433107.935 * [misc]backup-simplify: Simplify -2 into -2 1537433107.935 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.935 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.935 * [misc]backup-simplify: Simplify PI into PI 1537433107.935 * [misc]taylor: Taking taylor expansion of n in n 1537433107.935 * [misc]backup-simplify: Simplify 0 into 0 1537433107.935 * [misc]backup-simplify: Simplify 1 into 1 1537433107.935 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.935 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433107.936 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433107.936 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433107.936 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537433107.937 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433107.937 * [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))) 1537433107.938 * [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)))) 1537433107.938 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433107.938 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433107.938 * [misc]taylor: Taking taylor expansion of -1 in n 1537433107.938 * [misc]backup-simplify: Simplify -1 into -1 1537433107.938 * [misc]taylor: Taking taylor expansion of k in n 1537433107.938 * [misc]backup-simplify: Simplify k into k 1537433107.938 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433107.938 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433107.939 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433107.939 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433107.939 * [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))) 1537433107.939 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of k in n 1537433107.940 * [misc]backup-simplify: Simplify k into k 1537433107.940 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433107.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.940 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of -2 in n 1537433107.940 * [misc]backup-simplify: Simplify -2 into -2 1537433107.940 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433107.940 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.940 * [misc]backup-simplify: Simplify PI into PI 1537433107.940 * [misc]taylor: Taking taylor expansion of n in n 1537433107.940 * [misc]backup-simplify: Simplify 0 into 0 1537433107.940 * [misc]backup-simplify: Simplify 1 into 1 1537433107.940 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433107.941 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433107.941 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433107.941 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433107.941 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537433107.942 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433107.943 * [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))) 1537433107.944 * [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)))) 1537433107.944 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433107.944 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433107.944 * [misc]taylor: Taking taylor expansion of -1 in n 1537433107.944 * [misc]backup-simplify: Simplify -1 into -1 1537433107.944 * [misc]taylor: Taking taylor expansion of k in n 1537433107.944 * [misc]backup-simplify: Simplify k into k 1537433107.944 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433107.944 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433107.944 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433107.944 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433107.945 * [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))) 1537433107.945 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1537433107.945 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537433107.945 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537433107.945 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537433107.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433107.945 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.945 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433107.945 * [misc]taylor: Taking taylor expansion of k in k 1537433107.945 * [misc]backup-simplify: Simplify 0 into 0 1537433107.945 * [misc]backup-simplify: Simplify 1 into 1 1537433107.945 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433107.945 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.946 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537433107.946 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537433107.946 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537433107.946 * [misc]taylor: Taking taylor expansion of -2 in k 1537433107.946 * [misc]backup-simplify: Simplify -2 into -2 1537433107.946 * [misc]taylor: Taking taylor expansion of PI in k 1537433107.946 * [misc]backup-simplify: Simplify PI into PI 1537433107.946 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433107.946 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433107.947 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433107.947 * [misc]taylor: Taking taylor expansion of n in k 1537433107.947 * [misc]backup-simplify: Simplify n into n 1537433107.947 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433107.947 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433107.947 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433107.947 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433107.948 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537433107.948 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537433107.949 * [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)))) 1537433107.949 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433107.949 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433107.949 * [misc]taylor: Taking taylor expansion of -1 in k 1537433107.949 * [misc]backup-simplify: Simplify -1 into -1 1537433107.949 * [misc]taylor: Taking taylor expansion of k in k 1537433107.949 * [misc]backup-simplify: Simplify 0 into 0 1537433107.949 * [misc]backup-simplify: Simplify 1 into 1 1537433107.949 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433107.949 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433107.950 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433107.951 * [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))))) 1537433107.951 * [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))))) 1537433107.953 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433107.953 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433107.956 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433107.957 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433107.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537433107.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433107.958 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537433107.960 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433107.961 * [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 1537433107.961 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.962 * [misc]backup-simplify: Simplify 0 into 0 1537433107.962 * [misc]backup-simplify: Simplify 0 into 0 1537433107.962 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537433107.963 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433107.964 * [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)))))) 1537433107.965 * [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)))))) 1537433107.967 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.968 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433107.974 * [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 1537433107.974 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433107.975 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537433107.975 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433107.976 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433107.977 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537433107.979 * [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 1537433107.979 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433107.980 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1537433107.982 * [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 1537433107.982 * [misc]taylor: Taking taylor expansion of 0 in k 1537433107.982 * [misc]backup-simplify: Simplify 0 into 0 1537433107.982 * [misc]backup-simplify: Simplify 0 into 0 1537433107.982 * [misc]backup-simplify: Simplify 0 into 0 1537433107.982 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433107.983 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537433107.986 * [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)))))) 1537433107.986 * [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)))))) 1537433107.990 * [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))))))))))) 1537433107.990 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1537433107.991 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1537433107.991 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1537433107.991 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.991 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433107.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.991 * [misc]taylor: Taking taylor expansion of k in k 1537433107.991 * [misc]backup-simplify: Simplify 0 into 0 1537433107.991 * [misc]backup-simplify: Simplify 1 into 1 1537433107.991 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of 2 in k 1537433107.991 * [misc]backup-simplify: Simplify 2 into 2 1537433107.991 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433107.991 * [misc]taylor: Taking taylor expansion of n in k 1537433107.991 * [misc]backup-simplify: Simplify n into n 1537433107.991 * [misc]taylor: Taking taylor expansion of PI in k 1537433107.991 * [misc]backup-simplify: Simplify PI into PI 1537433107.991 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433107.991 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537433107.991 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537433107.992 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433107.992 * [misc]backup-simplify: Simplify (- 0) into 0 1537433107.992 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433107.992 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537433107.992 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537433107.992 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537433107.992 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537433107.992 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537433107.992 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537433107.993 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.993 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433107.993 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.993 * [misc]taylor: Taking taylor expansion of k in n 1537433107.993 * [misc]backup-simplify: Simplify k into k 1537433107.993 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433107.993 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433107.993 * [misc]taylor: Taking taylor expansion of 2 in n 1537433107.993 * [misc]backup-simplify: Simplify 2 into 2 1537433107.993 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433107.993 * [misc]taylor: Taking taylor expansion of n in n 1537433107.993 * [misc]backup-simplify: Simplify 0 into 0 1537433107.993 * [misc]backup-simplify: Simplify 1 into 1 1537433107.993 * [misc]taylor: Taking taylor expansion of PI in n 1537433107.993 * [misc]backup-simplify: Simplify PI into PI 1537433107.995 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433107.995 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433107.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433107.996 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433107.997 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433107.997 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433107.997 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537433107.997 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537433107.998 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433107.998 * [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)))) 1537433107.999 * [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))))) 1537433107.999 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537433107.999 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537433107.999 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537433107.999 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537433107.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433107.999 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433107.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433107.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.000 * [misc]taylor: Taking taylor expansion of k in n 1537433108.000 * [misc]backup-simplify: Simplify k into k 1537433108.000 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433108.000 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433108.000 * [misc]taylor: Taking taylor expansion of 2 in n 1537433108.000 * [misc]backup-simplify: Simplify 2 into 2 1537433108.000 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433108.000 * [misc]taylor: Taking taylor expansion of n in n 1537433108.000 * [misc]backup-simplify: Simplify 0 into 0 1537433108.000 * [misc]backup-simplify: Simplify 1 into 1 1537433108.000 * [misc]taylor: Taking taylor expansion of PI in n 1537433108.000 * [misc]backup-simplify: Simplify PI into PI 1537433108.000 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433108.001 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433108.001 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433108.002 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433108.003 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433108.003 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433108.003 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537433108.003 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537433108.004 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433108.004 * [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)))) 1537433108.005 * [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))))) 1537433108.005 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537433108.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537433108.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537433108.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.005 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433108.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.005 * [misc]taylor: Taking taylor expansion of k in k 1537433108.005 * [misc]backup-simplify: Simplify 0 into 0 1537433108.005 * [misc]backup-simplify: Simplify 1 into 1 1537433108.005 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537433108.005 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433108.005 * [misc]taylor: Taking taylor expansion of n in k 1537433108.005 * [misc]backup-simplify: Simplify n into n 1537433108.005 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433108.005 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433108.006 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433108.006 * [misc]taylor: Taking taylor expansion of 2 in k 1537433108.006 * [misc]backup-simplify: Simplify 2 into 2 1537433108.006 * [misc]taylor: Taking taylor expansion of PI in k 1537433108.006 * [misc]backup-simplify: Simplify PI into PI 1537433108.006 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433108.006 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433108.007 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433108.007 * [misc]backup-simplify: Simplify (- 0) into 0 1537433108.007 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433108.007 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433108.008 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537433108.009 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433108.009 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433108.011 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433108.012 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433108.015 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433108.015 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537433108.016 * [misc]backup-simplify: Simplify (- 0) into 0 1537433108.016 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.016 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433108.017 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537433108.019 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433108.019 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.019 * [misc]backup-simplify: Simplify 0 into 0 1537433108.019 * [misc]backup-simplify: Simplify 0 into 0 1537433108.020 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537433108.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433108.024 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433108.024 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.024 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537433108.024 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537433108.024 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537433108.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537433108.027 * [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))))))) 1537433108.029 * [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))))))) 1537433108.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433108.032 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433108.038 * [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 1537433108.038 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537433108.038 * [misc]backup-simplify: Simplify (- 0) into 0 1537433108.038 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.039 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433108.040 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433108.042 * [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 1537433108.042 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.042 * [misc]backup-simplify: Simplify 0 into 0 1537433108.042 * [misc]backup-simplify: Simplify 0 into 0 1537433108.043 * [misc]backup-simplify: Simplify 0 into 0 1537433108.044 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537433108.045 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433108.051 * [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 1537433108.051 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.052 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537433108.052 * [misc]backup-simplify: Simplify (- 0) into 0 1537433108.052 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.053 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433108.056 * [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))))) 1537433108.060 * [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))))) 1537433108.069 * [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))))) 1537433108.069 * [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)))) 1537433108.069 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1537433108.069 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537433108.069 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537433108.069 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537433108.069 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537433108.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.069 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433108.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.070 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433108.070 * [misc]taylor: Taking taylor expansion of k in k 1537433108.070 * [misc]backup-simplify: Simplify 0 into 0 1537433108.070 * [misc]backup-simplify: Simplify 1 into 1 1537433108.070 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433108.070 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537433108.070 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537433108.070 * [misc]taylor: Taking taylor expansion of 2 in k 1537433108.070 * [misc]backup-simplify: Simplify 2 into 2 1537433108.070 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433108.070 * [misc]taylor: Taking taylor expansion of PI in k 1537433108.070 * [misc]backup-simplify: Simplify PI into PI 1537433108.070 * [misc]taylor: Taking taylor expansion of n in k 1537433108.070 * [misc]backup-simplify: Simplify n into n 1537433108.070 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433108.070 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537433108.070 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537433108.071 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433108.071 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537433108.071 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537433108.071 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537433108.071 * [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)))) 1537433108.071 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537433108.071 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of k in n 1537433108.072 * [misc]backup-simplify: Simplify k into k 1537433108.072 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433108.072 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of 2 in n 1537433108.072 * [misc]backup-simplify: Simplify 2 into 2 1537433108.072 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433108.072 * [misc]taylor: Taking taylor expansion of PI in n 1537433108.072 * [misc]backup-simplify: Simplify PI into PI 1537433108.072 * [misc]taylor: Taking taylor expansion of n in n 1537433108.072 * [misc]backup-simplify: Simplify 0 into 0 1537433108.072 * [misc]backup-simplify: Simplify 1 into 1 1537433108.073 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433108.073 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433108.073 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433108.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433108.074 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537433108.074 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537433108.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433108.075 * [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))) 1537433108.076 * [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)))) 1537433108.076 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of k in n 1537433108.076 * [misc]backup-simplify: Simplify k into k 1537433108.076 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433108.076 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433108.076 * [misc]taylor: Taking taylor expansion of 2 in n 1537433108.077 * [misc]backup-simplify: Simplify 2 into 2 1537433108.077 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433108.077 * [misc]taylor: Taking taylor expansion of PI in n 1537433108.077 * [misc]backup-simplify: Simplify PI into PI 1537433108.077 * [misc]taylor: Taking taylor expansion of n in n 1537433108.077 * [misc]backup-simplify: Simplify 0 into 0 1537433108.077 * [misc]backup-simplify: Simplify 1 into 1 1537433108.077 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433108.077 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433108.078 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433108.078 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433108.078 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537433108.078 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537433108.079 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433108.079 * [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))) 1537433108.080 * [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)))) 1537433108.080 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537433108.080 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537433108.080 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537433108.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433108.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433108.081 * [misc]taylor: Taking taylor expansion of k in k 1537433108.081 * [misc]backup-simplify: Simplify 0 into 0 1537433108.081 * [misc]backup-simplify: Simplify 1 into 1 1537433108.081 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433108.081 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433108.081 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433108.081 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433108.081 * [misc]taylor: Taking taylor expansion of 2 in k 1537433108.081 * [misc]backup-simplify: Simplify 2 into 2 1537433108.081 * [misc]taylor: Taking taylor expansion of PI in k 1537433108.081 * [misc]backup-simplify: Simplify PI into PI 1537433108.081 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433108.082 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433108.082 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433108.082 * [misc]taylor: Taking taylor expansion of n in k 1537433108.082 * [misc]backup-simplify: Simplify n into n 1537433108.082 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433108.082 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433108.082 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537433108.082 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537433108.082 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433108.083 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433108.084 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537433108.084 * [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)))) 1537433108.085 * [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)))) 1537433108.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433108.087 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433108.090 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433108.090 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433108.090 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537433108.091 * [misc]backup-simplify: Simplify (- 0) into 0 1537433108.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.091 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433108.092 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537433108.094 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433108.094 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.094 * [misc]backup-simplify: Simplify 0 into 0 1537433108.094 * [misc]backup-simplify: Simplify 0 into 0 1537433108.094 * [misc]backup-simplify: Simplify 0 into 0 1537433108.095 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433108.097 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433108.102 * [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 1537433108.103 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433108.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537433108.103 * [misc]backup-simplify: Simplify (- 0) into 0 1537433108.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.104 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433108.105 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537433108.107 * [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 1537433108.107 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.107 * [misc]backup-simplify: Simplify 0 into 0 1537433108.107 * [misc]backup-simplify: Simplify 0 into 0 1537433108.107 * [misc]backup-simplify: Simplify 0 into 0 1537433108.108 * [misc]backup-simplify: Simplify 0 into 0 1537433108.109 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433108.111 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433108.120 * [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 1537433108.121 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433108.121 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537433108.121 * [misc]backup-simplify: Simplify (- 0) into 0 1537433108.122 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.122 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433108.123 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537433108.127 * [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 1537433108.127 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.127 * [misc]backup-simplify: Simplify 0 into 0 1537433108.127 * [misc]backup-simplify: Simplify 0 into 0 1537433108.128 * [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))))) 1537433108.128 * [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)) 1537433108.128 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1537433108.128 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537433108.128 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537433108.128 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537433108.128 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537433108.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433108.129 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433108.129 * [misc]taylor: Taking taylor expansion of k in k 1537433108.129 * [misc]backup-simplify: Simplify 0 into 0 1537433108.129 * [misc]backup-simplify: Simplify 1 into 1 1537433108.129 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433108.129 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.129 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537433108.129 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433108.129 * [misc]taylor: Taking taylor expansion of -2 in k 1537433108.129 * [misc]backup-simplify: Simplify -2 into -2 1537433108.129 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433108.129 * [misc]taylor: Taking taylor expansion of PI in k 1537433108.129 * [misc]backup-simplify: Simplify PI into PI 1537433108.129 * [misc]taylor: Taking taylor expansion of n in k 1537433108.129 * [misc]backup-simplify: Simplify n into n 1537433108.129 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433108.129 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433108.129 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537433108.130 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433108.130 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433108.130 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537433108.130 * [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))) 1537433108.130 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537433108.130 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537433108.130 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537433108.130 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537433108.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433108.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433108.131 * [misc]taylor: Taking taylor expansion of k in n 1537433108.131 * [misc]backup-simplify: Simplify k into k 1537433108.131 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433108.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.131 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433108.131 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433108.131 * [misc]taylor: Taking taylor expansion of -2 in n 1537433108.131 * [misc]backup-simplify: Simplify -2 into -2 1537433108.131 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433108.131 * [misc]taylor: Taking taylor expansion of PI in n 1537433108.131 * [misc]backup-simplify: Simplify PI into PI 1537433108.131 * [misc]taylor: Taking taylor expansion of n in n 1537433108.131 * [misc]backup-simplify: Simplify 0 into 0 1537433108.131 * [misc]backup-simplify: Simplify 1 into 1 1537433108.131 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433108.132 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433108.132 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433108.132 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433108.132 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537433108.133 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433108.134 * [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))) 1537433108.135 * [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)))) 1537433108.135 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.135 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of k in n 1537433108.135 * [misc]backup-simplify: Simplify k into k 1537433108.135 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433108.135 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433108.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.135 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of -2 in n 1537433108.135 * [misc]backup-simplify: Simplify -2 into -2 1537433108.135 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433108.135 * [misc]taylor: Taking taylor expansion of PI in n 1537433108.135 * [misc]backup-simplify: Simplify PI into PI 1537433108.135 * [misc]taylor: Taking taylor expansion of n in n 1537433108.135 * [misc]backup-simplify: Simplify 0 into 0 1537433108.135 * [misc]backup-simplify: Simplify 1 into 1 1537433108.136 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433108.136 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433108.136 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433108.137 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537433108.137 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537433108.138 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433108.138 * [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))) 1537433108.139 * [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)))) 1537433108.139 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537433108.139 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537433108.139 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537433108.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537433108.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433108.139 * [misc]taylor: Taking taylor expansion of k in k 1537433108.139 * [misc]backup-simplify: Simplify 0 into 0 1537433108.139 * [misc]backup-simplify: Simplify 1 into 1 1537433108.139 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433108.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433108.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433108.140 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537433108.140 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537433108.140 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537433108.140 * [misc]taylor: Taking taylor expansion of -2 in k 1537433108.140 * [misc]backup-simplify: Simplify -2 into -2 1537433108.140 * [misc]taylor: Taking taylor expansion of PI in k 1537433108.140 * [misc]backup-simplify: Simplify PI into PI 1537433108.140 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433108.141 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433108.141 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433108.141 * [misc]taylor: Taking taylor expansion of n in k 1537433108.141 * [misc]backup-simplify: Simplify n into n 1537433108.141 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433108.141 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537433108.141 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537433108.141 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433108.142 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537433108.142 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537433108.143 * [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)))) 1537433108.144 * [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)))) 1537433108.145 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433108.146 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433108.149 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433108.149 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433108.149 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537433108.149 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.150 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433108.150 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537433108.152 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433108.152 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.152 * [misc]backup-simplify: Simplify 0 into 0 1537433108.152 * [misc]backup-simplify: Simplify 0 into 0 1537433108.152 * [misc]backup-simplify: Simplify 0 into 0 1537433108.155 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433108.156 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433108.162 * [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 1537433108.162 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433108.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537433108.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.164 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433108.164 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537433108.167 * [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 1537433108.168 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.168 * [misc]backup-simplify: Simplify 0 into 0 1537433108.168 * [misc]backup-simplify: Simplify 0 into 0 1537433108.168 * [misc]backup-simplify: Simplify 0 into 0 1537433108.168 * [misc]backup-simplify: Simplify 0 into 0 1537433108.169 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433108.171 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433108.180 * [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 1537433108.180 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433108.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537433108.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433108.181 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433108.182 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1537433108.186 * [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 1537433108.187 * [misc]taylor: Taking taylor expansion of 0 in k 1537433108.187 * [misc]backup-simplify: Simplify 0 into 0 1537433108.187 * [misc]backup-simplify: Simplify 0 into 0 1537433108.188 * [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))))) 1537433108.188 * * * [misc]progress: simplifying candidates 1537433108.188 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1537433108.188 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1537433108.189 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433108.190 * * [misc]simplify: iters left: 6 (14 enodes) 1537433108.196 * * [misc]simplify: iters left: 5 (26 enodes) 1537433108.209 * * [misc]simplify: iters left: 4 (53 enodes) 1537433108.242 * * [misc]simplify: iters left: 3 (137 enodes) 1537433108.376 * * [misc]simplify: iters left: 2 (487 enodes) 1537433109.361 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537433109.362 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537433109.362 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1537433109.362 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433109.363 * * [misc]simplify: iters left: 6 (14 enodes) 1537433109.367 * * [misc]simplify: iters left: 5 (26 enodes) 1537433109.374 * * [misc]simplify: iters left: 4 (53 enodes) 1537433109.392 * * [misc]simplify: iters left: 3 (137 enodes) 1537433109.475 * * [misc]simplify: iters left: 2 (487 enodes) 1537433110.344 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537433110.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537433110.345 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1537433110.345 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1537433110.346 * * [misc]simplify: iters left: 6 (14 enodes) 1537433110.353 * * [misc]simplify: iters left: 5 (24 enodes) 1537433110.363 * * [misc]simplify: iters left: 4 (42 enodes) 1537433110.380 * * [misc]simplify: iters left: 3 (71 enodes) 1537433110.434 * * [misc]simplify: iters left: 2 (208 enodes) 1537433110.809 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433110.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537433110.809 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1537433110.810 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1537433110.810 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1537433110.810 * [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))) 1537433110.811 * * [misc]simplify: iters left: 6 (16 enodes) 1537433110.815 * * [misc]simplify: iters left: 5 (31 enodes) 1537433110.824 * * [misc]simplify: iters left: 4 (67 enodes) 1537433110.857 * * [misc]simplify: iters left: 3 (124 enodes) 1537433110.911 * * [misc]simplify: iters left: 2 (195 enodes) 1537433110.965 * * [misc]simplify: iters left: 1 (309 enodes) 1537433111.115 * [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)))) 1537433111.115 * [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)))))) 1537433111.115 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1537433111.115 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1537433111.115 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1537433111.115 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1537433111.115 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1537433111.115 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.117 * * [misc]simplify: iters left: 6 (12 enodes) 1537433111.121 * * [misc]simplify: iters left: 5 (19 enodes) 1537433111.124 * * [misc]simplify: iters left: 4 (25 enodes) 1537433111.128 * * [misc]simplify: iters left: 3 (26 enodes) 1537433111.132 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.132 * [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))))) 1537433111.132 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537433111.133 * * [misc]simplify: iters left: 6 (12 enodes) 1537433111.136 * * [misc]simplify: iters left: 5 (18 enodes) 1537433111.139 * * [misc]simplify: iters left: 4 (24 enodes) 1537433111.144 * * [misc]simplify: iters left: 3 (25 enodes) 1537433111.149 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537433111.149 * [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))))) 1537433111.149 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1537433111.150 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537433111.151 * * [misc]simplify: iters left: 6 (11 enodes) 1537433111.155 * * [misc]simplify: iters left: 5 (16 enodes) 1537433111.161 * * [misc]simplify: iters left: 4 (22 enodes) 1537433111.168 * * [misc]simplify: iters left: 3 (24 enodes) 1537433111.176 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537433111.176 * [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))))) 1537433111.176 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537433111.177 * * [misc]simplify: iters left: 6 (12 enodes) 1537433111.182 * * [misc]simplify: iters left: 5 (18 enodes) 1537433111.189 * * [misc]simplify: iters left: 4 (24 enodes) 1537433111.197 * * [misc]simplify: iters left: 3 (25 enodes) 1537433111.205 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537433111.205 * [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))))) 1537433111.205 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1537433111.205 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537433111.206 * * [misc]simplify: iters left: 6 (9 enodes) 1537433111.209 * * [misc]simplify: iters left: 5 (16 enodes) 1537433111.212 * * [misc]simplify: iters left: 4 (24 enodes) 1537433111.215 * * [misc]simplify: iters left: 3 (26 enodes) 1537433111.219 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537433111.219 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537433111.219 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537433111.220 * * [misc]simplify: iters left: 6 (11 enodes) 1537433111.222 * * [misc]simplify: iters left: 5 (17 enodes) 1537433111.225 * * [misc]simplify: iters left: 4 (23 enodes) 1537433111.229 * * [misc]simplify: iters left: 3 (24 enodes) 1537433111.232 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537433111.232 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537433111.232 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1537433111.233 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.233 * * [misc]simplify: iters left: 6 (12 enodes) 1537433111.236 * * [misc]simplify: iters left: 5 (19 enodes) 1537433111.240 * * [misc]simplify: iters left: 4 (25 enodes) 1537433111.249 * * [misc]simplify: iters left: 3 (26 enodes) 1537433111.258 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.258 * [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))))) 1537433111.258 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537433111.259 * * [misc]simplify: iters left: 6 (12 enodes) 1537433111.264 * * [misc]simplify: iters left: 5 (18 enodes) 1537433111.271 * * [misc]simplify: iters left: 4 (24 enodes) 1537433111.278 * * [misc]simplify: iters left: 3 (25 enodes) 1537433111.286 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537433111.286 * [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))))) 1537433111.286 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1537433111.286 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537433111.288 * * [misc]simplify: iters left: 6 (11 enodes) 1537433111.292 * * [misc]simplify: iters left: 5 (16 enodes) 1537433111.297 * * [misc]simplify: iters left: 4 (22 enodes) 1537433111.304 * * [misc]simplify: iters left: 3 (24 enodes) 1537433111.311 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537433111.311 * [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))))) 1537433111.312 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537433111.313 * * [misc]simplify: iters left: 6 (12 enodes) 1537433111.318 * * [misc]simplify: iters left: 5 (18 enodes) 1537433111.324 * * [misc]simplify: iters left: 4 (24 enodes) 1537433111.331 * * [misc]simplify: iters left: 3 (25 enodes) 1537433111.340 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537433111.340 * [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))))) 1537433111.340 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1537433111.340 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537433111.341 * * [misc]simplify: iters left: 6 (9 enodes) 1537433111.345 * * [misc]simplify: iters left: 5 (16 enodes) 1537433111.352 * * [misc]simplify: iters left: 4 (24 enodes) 1537433111.358 * * [misc]simplify: iters left: 3 (26 enodes) 1537433111.365 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537433111.365 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537433111.365 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537433111.366 * * [misc]simplify: iters left: 6 (11 enodes) 1537433111.371 * * [misc]simplify: iters left: 5 (17 enodes) 1537433111.377 * * [misc]simplify: iters left: 4 (23 enodes) 1537433111.386 * * [misc]simplify: iters left: 3 (24 enodes) 1537433111.394 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537433111.394 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537433111.394 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1537433111.394 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.396 * * [misc]simplify: iters left: 6 (11 enodes) 1537433111.400 * * [misc]simplify: iters left: 5 (15 enodes) 1537433111.405 * * [misc]simplify: iters left: 4 (18 enodes) 1537433111.411 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.412 * [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))))) 1537433111.412 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537433111.413 * * [misc]simplify: iters left: 6 (11 enodes) 1537433111.417 * * [misc]simplify: iters left: 5 (14 enodes) 1537433111.421 * * [misc]simplify: iters left: 4 (17 enodes) 1537433111.427 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537433111.427 * [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))))) 1537433111.427 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1537433111.427 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537433111.428 * * [misc]simplify: iters left: 6 (10 enodes) 1537433111.432 * * [misc]simplify: iters left: 5 (12 enodes) 1537433111.436 * * [misc]simplify: iters left: 4 (15 enodes) 1537433111.441 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537433111.441 * [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))))) 1537433111.441 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537433111.442 * * [misc]simplify: iters left: 6 (11 enodes) 1537433111.446 * * [misc]simplify: iters left: 5 (14 enodes) 1537433111.451 * * [misc]simplify: iters left: 4 (17 enodes) 1537433111.456 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537433111.456 * [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))))) 1537433111.456 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1537433111.456 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1537433111.456 * * [misc]simplify: iters left: 6 (9 enodes) 1537433111.458 * * [misc]simplify: iters left: 5 (13 enodes) 1537433111.461 * * [misc]simplify: iters left: 4 (18 enodes) 1537433111.463 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537433111.463 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537433111.463 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537433111.464 * * [misc]simplify: iters left: 6 (10 enodes) 1537433111.466 * * [misc]simplify: iters left: 5 (13 enodes) 1537433111.468 * * [misc]simplify: iters left: 4 (16 enodes) 1537433111.470 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537433111.470 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537433111.471 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1537433111.471 * [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)))) 1537433111.472 * * [misc]simplify: iters left: 6 (16 enodes) 1537433111.475 * * [misc]simplify: iters left: 5 (28 enodes) 1537433111.481 * * [misc]simplify: iters left: 4 (46 enodes) 1537433111.488 * * [misc]simplify: iters left: 3 (50 enodes) 1537433111.497 * * [misc]simplify: iters left: 2 (53 enodes) 1537433111.507 * [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)))) 1537433111.507 * [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))))) 1537433111.507 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537433111.508 * * [misc]simplify: iters left: 6 (14 enodes) 1537433111.510 * * [misc]simplify: iters left: 5 (20 enodes) 1537433111.517 * * [misc]simplify: iters left: 4 (29 enodes) 1537433111.525 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.535 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537433111.535 * [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))))) 1537433111.535 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1537433111.535 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1537433111.537 * * [misc]simplify: iters left: 6 (15 enodes) 1537433111.543 * * [misc]simplify: iters left: 5 (23 enodes) 1537433111.553 * * [misc]simplify: iters left: 4 (34 enodes) 1537433111.564 * * [misc]simplify: iters left: 3 (37 enodes) 1537433111.577 * [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)))))) 1537433111.577 * [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))))) 1537433111.577 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537433111.579 * * [misc]simplify: iters left: 6 (14 enodes) 1537433111.584 * * [misc]simplify: iters left: 5 (20 enodes) 1537433111.591 * * [misc]simplify: iters left: 4 (29 enodes) 1537433111.600 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.611 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537433111.611 * [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))))) 1537433111.611 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1537433111.612 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1537433111.613 * * [misc]simplify: iters left: 6 (14 enodes) 1537433111.619 * * [misc]simplify: iters left: 5 (24 enodes) 1537433111.629 * * [misc]simplify: iters left: 4 (39 enodes) 1537433111.642 * * [misc]simplify: iters left: 3 (54 enodes) 1537433111.660 * * [misc]simplify: iters left: 2 (80 enodes) 1537433111.683 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1537433111.683 * [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)))) 1537433111.683 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537433111.684 * * [misc]simplify: iters left: 6 (13 enodes) 1537433111.687 * * [misc]simplify: iters left: 5 (19 enodes) 1537433111.690 * * [misc]simplify: iters left: 4 (28 enodes) 1537433111.694 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.699 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537433111.699 * [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)))) 1537433111.699 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1537433111.699 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.700 * * [misc]simplify: iters left: 6 (15 enodes) 1537433111.704 * * [misc]simplify: iters left: 5 (23 enodes) 1537433111.708 * * [misc]simplify: iters left: 4 (32 enodes) 1537433111.713 * * [misc]simplify: iters left: 3 (34 enodes) 1537433111.720 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.720 * [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))))) 1537433111.720 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537433111.722 * * [misc]simplify: iters left: 6 (14 enodes) 1537433111.727 * * [misc]simplify: iters left: 5 (20 enodes) 1537433111.735 * * [misc]simplify: iters left: 4 (29 enodes) 1537433111.744 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.753 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537433111.753 * [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))))) 1537433111.754 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1537433111.754 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537433111.755 * * [misc]simplify: iters left: 6 (14 enodes) 1537433111.761 * * [misc]simplify: iters left: 5 (20 enodes) 1537433111.769 * * [misc]simplify: iters left: 4 (29 enodes) 1537433111.777 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.787 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537433111.787 * [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))))) 1537433111.787 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537433111.789 * * [misc]simplify: iters left: 6 (14 enodes) 1537433111.794 * * [misc]simplify: iters left: 5 (20 enodes) 1537433111.802 * * [misc]simplify: iters left: 4 (29 enodes) 1537433111.811 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.820 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537433111.821 * [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))))) 1537433111.821 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1537433111.821 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1537433111.822 * * [misc]simplify: iters left: 6 (13 enodes) 1537433111.827 * * [misc]simplify: iters left: 5 (21 enodes) 1537433111.836 * * [misc]simplify: iters left: 4 (32 enodes) 1537433111.844 * * [misc]simplify: iters left: 3 (33 enodes) 1537433111.854 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1537433111.854 * [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)))) 1537433111.854 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537433111.857 * * [misc]simplify: iters left: 6 (13 enodes) 1537433111.859 * * [misc]simplify: iters left: 5 (19 enodes) 1537433111.863 * * [misc]simplify: iters left: 4 (28 enodes) 1537433111.867 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.872 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537433111.872 * [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)))) 1537433111.872 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1537433111.872 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433111.873 * * [misc]simplify: iters left: 6 (6 enodes) 1537433111.874 * * [misc]simplify: iters left: 5 (10 enodes) 1537433111.876 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537433111.876 * [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))))) 1537433111.876 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537433111.876 * * [misc]simplify: iters left: 6 (13 enodes) 1537433111.879 * * [misc]simplify: iters left: 5 (19 enodes) 1537433111.882 * * [misc]simplify: iters left: 4 (28 enodes) 1537433111.887 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.891 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537433111.891 * [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))))) 1537433111.891 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1537433111.892 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537433111.892 * * [misc]simplify: iters left: 4 (5 enodes) 1537433111.894 * * [misc]simplify: iters left: 3 (7 enodes) 1537433111.896 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537433111.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537433111.896 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537433111.897 * * [misc]simplify: iters left: 6 (13 enodes) 1537433111.902 * * [misc]simplify: iters left: 5 (19 enodes) 1537433111.909 * * [misc]simplify: iters left: 4 (28 enodes) 1537433111.918 * * [misc]simplify: iters left: 3 (30 enodes) 1537433111.928 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537433111.928 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537433111.928 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1537433111.928 * [enter]simplify: Simplifying (/ 1 1) 1537433111.928 * * [misc]simplify: iters left: 2 (2 enodes) 1537433111.929 * * [misc]simplify: iters left: 1 (4 enodes) 1537433111.930 * [exit]simplify: Simplified to 1 1537433111.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1537433111.930 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537433111.931 * * [misc]simplify: iters left: 6 (12 enodes) 1537433111.936 * * [misc]simplify: iters left: 5 (18 enodes) 1537433111.942 * * [misc]simplify: iters left: 4 (27 enodes) 1537433111.950 * * [misc]simplify: iters left: 3 (29 enodes) 1537433111.961 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1537433111.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1537433111.961 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1537433111.961 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1537433111.961 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1537433111.962 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1537433111.962 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537433111.962 * * [misc]simplify: iters left: 2 (3 enodes) 1537433111.963 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537433111.963 * [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)))) 1537433111.963 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1537433111.964 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537433111.964 * * [misc]simplify: iters left: 2 (3 enodes) 1537433111.965 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537433111.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1537433111.965 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1537433111.965 * [enter]simplify: Simplifying (sqrt k) 1537433111.966 * * [misc]simplify: iters left: 1 (2 enodes) 1537433111.966 * [exit]simplify: Simplified to (sqrt k) 1537433111.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1537433111.966 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1537433111.967 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537433111.967 * * [misc]simplify: iters left: 5 (7 enodes) 1537433111.970 * * [misc]simplify: iters left: 4 (12 enodes) 1537433111.975 * * [misc]simplify: iters left: 3 (18 enodes) 1537433111.981 * * [misc]simplify: iters left: 2 (20 enodes) 1537433111.987 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537433111.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537433111.987 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1537433111.987 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537433111.988 * * [misc]simplify: iters left: 5 (7 enodes) 1537433111.991 * * [misc]simplify: iters left: 4 (12 enodes) 1537433111.995 * * [misc]simplify: iters left: 3 (18 enodes) 1537433112.000 * * [misc]simplify: iters left: 2 (20 enodes) 1537433112.003 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537433112.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537433112.003 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1537433112.003 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537433112.004 * * [misc]simplify: iters left: 5 (7 enodes) 1537433112.005 * * [misc]simplify: iters left: 4 (9 enodes) 1537433112.006 * * [misc]simplify: iters left: 3 (12 enodes) 1537433112.008 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537433112.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1537433112.008 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1537433112.008 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1537433112.009 * * [misc]simplify: iters left: 6 (12 enodes) 1537433112.012 * * [misc]simplify: iters left: 5 (18 enodes) 1537433112.016 * * [misc]simplify: iters left: 4 (27 enodes) 1537433112.020 * * [misc]simplify: iters left: 3 (29 enodes) 1537433112.025 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1537433112.025 * [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))))))) 1537433112.025 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1537433112.025 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1537433112.025 * * [misc]simplify: iters left: 6 (11 enodes) 1537433112.028 * * [misc]simplify: iters left: 5 (17 enodes) 1537433112.034 * * [misc]simplify: iters left: 4 (26 enodes) 1537433112.042 * * [misc]simplify: iters left: 3 (27 enodes) 1537433112.047 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1537433112.047 * [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))))))) 1537433112.047 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1537433112.047 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1537433112.047 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537433112.047 * * [misc]simplify: iters left: 5 (7 enodes) 1537433112.049 * * [misc]simplify: iters left: 4 (12 enodes) 1537433112.051 * * [misc]simplify: iters left: 3 (18 enodes) 1537433112.054 * * [misc]simplify: iters left: 2 (20 enodes) 1537433112.058 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537433112.058 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1537433112.058 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1537433112.058 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1537433112.059 * * [misc]simplify: iters left: 6 (11 enodes) 1537433112.062 * * [misc]simplify: iters left: 5 (21 enodes) 1537433112.068 * * [misc]simplify: iters left: 4 (47 enodes) 1537433112.087 * * [misc]simplify: iters left: 3 (109 enodes) 1537433112.149 * * [misc]simplify: iters left: 2 (300 enodes) 1537433112.465 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1537433112.465 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1537433112.465 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1537433112.466 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1537433112.466 * [enter]simplify: Simplifying (* PI (* n 2)) 1537433112.466 * * [misc]simplify: iters left: 4 (5 enodes) 1537433112.468 * * [misc]simplify: iters left: 3 (9 enodes) 1537433112.469 * * [misc]simplify: iters left: 2 (15 enodes) 1537433112.472 * * [misc]simplify: iters left: 1 (17 enodes) 1537433112.475 * [exit]simplify: Simplified to (* (* 2 n) PI) 1537433112.475 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1537433112.475 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1537433112.475 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537433112.475 * * [misc]simplify: iters left: 5 (8 enodes) 1537433112.477 * * [misc]simplify: iters left: 4 (12 enodes) 1537433112.480 * * [misc]simplify: iters left: 3 (18 enodes) 1537433112.483 * * [misc]simplify: iters left: 2 (20 enodes) 1537433112.486 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537433112.486 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537433112.486 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1537433112.486 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1537433112.486 * * [misc]simplify: iters left: 5 (6 enodes) 1537433112.487 * * [misc]simplify: iters left: 4 (8 enodes) 1537433112.489 * * [misc]simplify: iters left: 3 (11 enodes) 1537433112.490 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1537433112.490 * [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))) 1537433112.491 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1537433112.491 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1537433112.491 * * [misc]simplify: iters left: 5 (6 enodes) 1537433112.494 * * [misc]simplify: iters left: 4 (8 enodes) 1537433112.498 * * [misc]simplify: iters left: 3 (11 enodes) 1537433112.501 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1537433112.501 * [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))) 1537433112.501 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1537433112.502 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1537433112.502 * * [misc]simplify: iters left: 4 (5 enodes) 1537433112.504 * * [misc]simplify: iters left: 3 (7 enodes) 1537433112.507 * * [misc]simplify: iters left: 2 (10 enodes) 1537433112.510 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1537433112.510 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1537433112.510 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1537433112.510 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537433112.511 * * [misc]simplify: iters left: 5 (9 enodes) 1537433112.515 * * [misc]simplify: iters left: 4 (15 enodes) 1537433112.520 * * [misc]simplify: iters left: 3 (21 enodes) 1537433112.525 * * [misc]simplify: iters left: 2 (22 enodes) 1537433112.529 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537433112.529 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537433112.529 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1537433112.529 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537433112.529 * * [misc]simplify: iters left: 5 (9 enodes) 1537433112.531 * * [misc]simplify: iters left: 4 (15 enodes) 1537433112.534 * * [misc]simplify: iters left: 3 (21 enodes) 1537433112.537 * * [misc]simplify: iters left: 2 (22 enodes) 1537433112.541 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537433112.541 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537433112.541 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1537433112.541 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537433112.541 * * [misc]simplify: iters left: 5 (7 enodes) 1537433112.543 * * [misc]simplify: iters left: 4 (9 enodes) 1537433112.544 * * [misc]simplify: iters left: 3 (12 enodes) 1537433112.546 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537433112.546 * [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))) 1537433112.546 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1537433112.546 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1537433112.546 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1537433112.546 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1537433112.546 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1537433112.546 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1537433112.546 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1537433112.546 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1537433112.546 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433112.547 * * [misc]simplify: iters left: 4 (5 enodes) 1537433112.548 * * [misc]simplify: iters left: 3 (9 enodes) 1537433112.550 * * [misc]simplify: iters left: 2 (15 enodes) 1537433112.553 * * [misc]simplify: iters left: 1 (17 enodes) 1537433112.555 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433112.555 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537433112.555 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1537433112.555 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433112.556 * * [misc]simplify: iters left: 4 (5 enodes) 1537433112.557 * * [misc]simplify: iters left: 3 (9 enodes) 1537433112.559 * * [misc]simplify: iters left: 2 (15 enodes) 1537433112.561 * * [misc]simplify: iters left: 1 (17 enodes) 1537433112.564 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433112.564 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537433112.564 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1537433112.564 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433112.564 * * [misc]simplify: iters left: 4 (5 enodes) 1537433112.566 * * [misc]simplify: iters left: 3 (9 enodes) 1537433112.568 * * [misc]simplify: iters left: 2 (15 enodes) 1537433112.570 * * [misc]simplify: iters left: 1 (17 enodes) 1537433112.572 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433112.573 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537433112.573 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1537433112.573 * [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)))))))))))))))))))))) 1537433112.573 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433112.573 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1537433112.573 * [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)))))))) 1537433112.573 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433112.573 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1537433112.573 * [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))))))))))) 1537433112.573 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433112.573 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1537433112.573 * [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))))) 1537433112.576 * * [misc]simplify: iters left: 6 (37 enodes) 1537433112.593 * * [misc]simplify: iters left: 5 (105 enodes) 1537433112.658 * * [misc]simplify: iters left: 4 (339 enodes) 1537433113.176 * [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))))) 1537433113.176 * [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))) 1537433113.176 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1537433113.176 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1537433113.178 * * [misc]simplify: iters left: 6 (15 enodes) 1537433113.183 * * [misc]simplify: iters left: 5 (33 enodes) 1537433113.191 * * [misc]simplify: iters left: 4 (64 enodes) 1537433113.229 * * [misc]simplify: iters left: 3 (171 enodes) 1537433113.437 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1537433113.437 * [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))) 1537433113.437 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1537433113.438 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1537433113.439 * * [misc]simplify: iters left: 6 (15 enodes) 1537433113.447 * * [misc]simplify: iters left: 5 (30 enodes) 1537433113.466 * * [misc]simplify: iters left: 4 (65 enodes) 1537433113.506 * * [misc]simplify: iters left: 3 (200 enodes) 1537433113.703 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1537433113.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1537433113.703 * * * [misc]progress: adding candidates to table 1537433115.650 * * [misc]progress: iteration 2 / 4 1537433115.650 * * * [misc]progress: picking best candidate 1537433115.778 * * * * [misc]pick: Picked # 1537433115.778 * * * [misc]progress: localizing error 1537433115.829 * * * [misc]progress: generating rewritten candidates 1537433115.829 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) 1537433115.841 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1537433115.861 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1537433115.958 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1537433115.977 * * * [misc]progress: generating series expansions 1537433115.977 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) 1537433115.977 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537433115.978 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433115.978 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433115.978 * [misc]taylor: Taking taylor expansion of 2 in n 1537433115.978 * [misc]backup-simplify: Simplify 2 into 2 1537433115.978 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433115.978 * [misc]taylor: Taking taylor expansion of n in n 1537433115.978 * [misc]backup-simplify: Simplify 0 into 0 1537433115.978 * [misc]backup-simplify: Simplify 1 into 1 1537433115.978 * [misc]taylor: Taking taylor expansion of PI in n 1537433115.978 * [misc]backup-simplify: Simplify PI into PI 1537433115.978 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433115.978 * [misc]taylor: Taking taylor expansion of 2 in n 1537433115.978 * [misc]backup-simplify: Simplify 2 into 2 1537433115.978 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433115.978 * [misc]taylor: Taking taylor expansion of n in n 1537433115.978 * [misc]backup-simplify: Simplify 0 into 0 1537433115.978 * [misc]backup-simplify: Simplify 1 into 1 1537433115.978 * [misc]taylor: Taking taylor expansion of PI in n 1537433115.978 * [misc]backup-simplify: Simplify PI into PI 1537433115.979 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433115.979 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433115.979 * [misc]backup-simplify: Simplify 0 into 0 1537433115.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433115.981 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433115.981 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433115.982 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433115.983 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433115.983 * [misc]backup-simplify: Simplify 0 into 0 1537433115.984 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433115.985 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433115.985 * [misc]backup-simplify: Simplify 0 into 0 1537433115.987 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433115.988 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433115.988 * [misc]backup-simplify: Simplify 0 into 0 1537433115.990 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433115.991 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433115.991 * [misc]backup-simplify: Simplify 0 into 0 1537433115.994 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433115.996 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433115.996 * [misc]backup-simplify: Simplify 0 into 0 1537433115.998 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433116.001 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433116.001 * [misc]backup-simplify: Simplify 0 into 0 1537433116.001 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433116.001 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537433116.001 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433116.001 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.001 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.001 * [misc]backup-simplify: Simplify 2 into 2 1537433116.001 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.001 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.001 * [misc]backup-simplify: Simplify PI into PI 1537433116.001 * [misc]taylor: Taking taylor expansion of n in n 1537433116.001 * [misc]backup-simplify: Simplify 0 into 0 1537433116.001 * [misc]backup-simplify: Simplify 1 into 1 1537433116.001 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.001 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.001 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.001 * [misc]backup-simplify: Simplify 2 into 2 1537433116.001 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.001 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.001 * [misc]backup-simplify: Simplify PI into PI 1537433116.001 * [misc]taylor: Taking taylor expansion of n in n 1537433116.002 * [misc]backup-simplify: Simplify 0 into 0 1537433116.002 * [misc]backup-simplify: Simplify 1 into 1 1537433116.002 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.002 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.002 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.004 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.004 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433116.004 * [misc]backup-simplify: Simplify 0 into 0 1537433116.006 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.007 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.007 * [misc]backup-simplify: Simplify 0 into 0 1537433116.009 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.010 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.011 * [misc]backup-simplify: Simplify 0 into 0 1537433116.013 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.015 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.015 * [misc]backup-simplify: Simplify 0 into 0 1537433116.017 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.021 * [misc]backup-simplify: Simplify 0 into 0 1537433116.023 * [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 1537433116.027 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.027 * [misc]backup-simplify: Simplify 0 into 0 1537433116.027 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433116.028 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537433116.028 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433116.028 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.028 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.028 * [misc]backup-simplify: Simplify -2 into -2 1537433116.028 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.028 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.028 * [misc]backup-simplify: Simplify PI into PI 1537433116.028 * [misc]taylor: Taking taylor expansion of n in n 1537433116.028 * [misc]backup-simplify: Simplify 0 into 0 1537433116.028 * [misc]backup-simplify: Simplify 1 into 1 1537433116.028 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.028 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.028 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.028 * [misc]backup-simplify: Simplify -2 into -2 1537433116.028 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.028 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.029 * [misc]backup-simplify: Simplify PI into PI 1537433116.029 * [misc]taylor: Taking taylor expansion of n in n 1537433116.029 * [misc]backup-simplify: Simplify 0 into 0 1537433116.029 * [misc]backup-simplify: Simplify 1 into 1 1537433116.029 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.029 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.030 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.031 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.032 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433116.032 * [misc]backup-simplify: Simplify 0 into 0 1537433116.033 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.034 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.034 * [misc]backup-simplify: Simplify 0 into 0 1537433116.036 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.038 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.038 * [misc]backup-simplify: Simplify 0 into 0 1537433116.040 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.042 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.042 * [misc]backup-simplify: Simplify 0 into 0 1537433116.045 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.048 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.048 * [misc]backup-simplify: Simplify 0 into 0 1537433116.051 * [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 1537433116.055 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.055 * [misc]backup-simplify: Simplify 0 into 0 1537433116.055 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433116.055 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1537433116.060 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537433116.060 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433116.060 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433116.060 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.060 * [misc]backup-simplify: Simplify 2 into 2 1537433116.060 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.060 * [misc]taylor: Taking taylor expansion of n in n 1537433116.060 * [misc]backup-simplify: Simplify 0 into 0 1537433116.060 * [misc]backup-simplify: Simplify 1 into 1 1537433116.060 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.060 * [misc]backup-simplify: Simplify PI into PI 1537433116.060 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433116.060 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.060 * [misc]backup-simplify: Simplify 2 into 2 1537433116.060 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.060 * [misc]taylor: Taking taylor expansion of n in n 1537433116.060 * [misc]backup-simplify: Simplify 0 into 0 1537433116.060 * [misc]backup-simplify: Simplify 1 into 1 1537433116.060 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.060 * [misc]backup-simplify: Simplify PI into PI 1537433116.061 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433116.061 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433116.061 * [misc]backup-simplify: Simplify 0 into 0 1537433116.062 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433116.063 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433116.063 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.065 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433116.066 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433116.066 * [misc]backup-simplify: Simplify 0 into 0 1537433116.068 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.070 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433116.070 * [misc]backup-simplify: Simplify 0 into 0 1537433116.073 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.075 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433116.075 * [misc]backup-simplify: Simplify 0 into 0 1537433116.078 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433116.081 * [misc]backup-simplify: Simplify 0 into 0 1537433116.084 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.088 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433116.088 * [misc]backup-simplify: Simplify 0 into 0 1537433116.092 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433116.097 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433116.097 * [misc]backup-simplify: Simplify 0 into 0 1537433116.097 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433116.097 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537433116.097 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433116.097 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.097 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.098 * [misc]backup-simplify: Simplify 2 into 2 1537433116.098 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.098 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.098 * [misc]backup-simplify: Simplify PI into PI 1537433116.098 * [misc]taylor: Taking taylor expansion of n in n 1537433116.098 * [misc]backup-simplify: Simplify 0 into 0 1537433116.098 * [misc]backup-simplify: Simplify 1 into 1 1537433116.098 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.098 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.098 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.098 * [misc]backup-simplify: Simplify 2 into 2 1537433116.098 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.098 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.098 * [misc]backup-simplify: Simplify PI into PI 1537433116.098 * [misc]taylor: Taking taylor expansion of n in n 1537433116.098 * [misc]backup-simplify: Simplify 0 into 0 1537433116.098 * [misc]backup-simplify: Simplify 1 into 1 1537433116.099 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.099 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.099 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.100 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.101 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433116.101 * [misc]backup-simplify: Simplify 0 into 0 1537433116.102 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.103 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.104 * [misc]backup-simplify: Simplify 0 into 0 1537433116.105 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.107 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.107 * [misc]backup-simplify: Simplify 0 into 0 1537433116.109 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.111 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.111 * [misc]backup-simplify: Simplify 0 into 0 1537433116.114 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.117 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.117 * [misc]backup-simplify: Simplify 0 into 0 1537433116.119 * [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 1537433116.123 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.123 * [misc]backup-simplify: Simplify 0 into 0 1537433116.124 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433116.124 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537433116.124 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433116.124 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.124 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.124 * [misc]backup-simplify: Simplify -2 into -2 1537433116.124 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.124 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.124 * [misc]backup-simplify: Simplify PI into PI 1537433116.124 * [misc]taylor: Taking taylor expansion of n in n 1537433116.124 * [misc]backup-simplify: Simplify 0 into 0 1537433116.124 * [misc]backup-simplify: Simplify 1 into 1 1537433116.124 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.124 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.124 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.124 * [misc]backup-simplify: Simplify -2 into -2 1537433116.124 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.125 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.125 * [misc]backup-simplify: Simplify PI into PI 1537433116.125 * [misc]taylor: Taking taylor expansion of n in n 1537433116.125 * [misc]backup-simplify: Simplify 0 into 0 1537433116.125 * [misc]backup-simplify: Simplify 1 into 1 1537433116.125 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.125 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.126 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.127 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.128 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433116.128 * [misc]backup-simplify: Simplify 0 into 0 1537433116.130 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.131 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.131 * [misc]backup-simplify: Simplify 0 into 0 1537433116.133 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.134 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.134 * [misc]backup-simplify: Simplify 0 into 0 1537433116.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.139 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.139 * [misc]backup-simplify: Simplify 0 into 0 1537433116.141 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.144 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.144 * [misc]backup-simplify: Simplify 0 into 0 1537433116.147 * [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 1537433116.151 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.151 * [misc]backup-simplify: Simplify 0 into 0 1537433116.151 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433116.151 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1537433116.152 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) 1537433116.152 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1537433116.152 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1537433116.152 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1537433116.152 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.152 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.153 * [misc]backup-simplify: Simplify 2 into 2 1537433116.153 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.153 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.153 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537433116.153 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537433116.153 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537433116.153 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433116.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.153 * [misc]taylor: Taking taylor expansion of k in k 1537433116.153 * [misc]backup-simplify: Simplify 0 into 0 1537433116.153 * [misc]backup-simplify: Simplify 1 into 1 1537433116.153 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537433116.153 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537433116.153 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.153 * [misc]backup-simplify: Simplify 2 into 2 1537433116.153 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433116.153 * [misc]taylor: Taking taylor expansion of n in k 1537433116.153 * [misc]backup-simplify: Simplify n into n 1537433116.153 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.154 * [misc]backup-simplify: Simplify PI into PI 1537433116.154 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433116.154 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537433116.154 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537433116.154 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433116.154 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537433116.155 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537433116.155 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537433116.156 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537433116.157 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537433116.157 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537433116.157 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433116.157 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537433116.157 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537433116.158 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537433116.158 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433116.158 * [misc]taylor: Taking taylor expansion of n in k 1537433116.158 * [misc]backup-simplify: Simplify n into n 1537433116.158 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.158 * [misc]backup-simplify: Simplify PI into PI 1537433116.158 * [misc]taylor: Taking taylor expansion of k in k 1537433116.158 * [misc]backup-simplify: Simplify 0 into 0 1537433116.158 * [misc]backup-simplify: Simplify 1 into 1 1537433116.158 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433116.158 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537433116.158 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.158 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537433116.159 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.159 * [misc]backup-simplify: Simplify 2 into 2 1537433116.159 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.159 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.159 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.159 * [misc]taylor: Taking taylor expansion of k in n 1537433116.159 * [misc]backup-simplify: Simplify k into k 1537433116.159 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433116.159 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.159 * [misc]backup-simplify: Simplify 2 into 2 1537433116.159 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.160 * [misc]taylor: Taking taylor expansion of n in n 1537433116.160 * [misc]backup-simplify: Simplify 0 into 0 1537433116.160 * [misc]backup-simplify: Simplify 1 into 1 1537433116.160 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.160 * [misc]backup-simplify: Simplify PI into PI 1537433116.160 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433116.160 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433116.161 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433116.162 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433116.162 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.162 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433116.163 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.164 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537433116.164 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537433116.165 * [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)))) 1537433116.165 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537433116.165 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537433116.165 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.165 * [misc]taylor: Taking taylor expansion of n in n 1537433116.165 * [misc]backup-simplify: Simplify 0 into 0 1537433116.165 * [misc]backup-simplify: Simplify 1 into 1 1537433116.165 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.166 * [misc]backup-simplify: Simplify PI into PI 1537433116.166 * [misc]taylor: Taking taylor expansion of k in n 1537433116.166 * [misc]backup-simplify: Simplify k into k 1537433116.166 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433116.167 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433116.167 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537433116.167 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.167 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537433116.167 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537433116.167 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537433116.167 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433116.167 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.167 * [misc]backup-simplify: Simplify 2 into 2 1537433116.168 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.168 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.168 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537433116.168 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537433116.168 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537433116.168 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433116.168 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.168 * [misc]taylor: Taking taylor expansion of k in n 1537433116.168 * [misc]backup-simplify: Simplify k into k 1537433116.168 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433116.168 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433116.168 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.168 * [misc]backup-simplify: Simplify 2 into 2 1537433116.168 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.168 * [misc]taylor: Taking taylor expansion of n in n 1537433116.168 * [misc]backup-simplify: Simplify 0 into 0 1537433116.168 * [misc]backup-simplify: Simplify 1 into 1 1537433116.168 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.168 * [misc]backup-simplify: Simplify PI into PI 1537433116.169 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433116.169 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433116.169 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433116.170 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433116.171 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.171 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433116.171 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.172 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537433116.172 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537433116.173 * [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)))) 1537433116.173 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537433116.173 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537433116.173 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.173 * [misc]taylor: Taking taylor expansion of n in n 1537433116.173 * [misc]backup-simplify: Simplify 0 into 0 1537433116.173 * [misc]backup-simplify: Simplify 1 into 1 1537433116.173 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.173 * [misc]backup-simplify: Simplify PI into PI 1537433116.173 * [misc]taylor: Taking taylor expansion of k in n 1537433116.173 * [misc]backup-simplify: Simplify k into k 1537433116.173 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433116.174 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433116.174 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537433116.174 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.174 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537433116.175 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1537433116.175 * [misc]taylor: Taking taylor expansion of 0 in k 1537433116.175 * [misc]backup-simplify: Simplify 0 into 0 1537433116.175 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433116.176 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433116.178 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433116.179 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537433116.179 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.179 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537433116.180 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433116.182 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537433116.183 * [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)))) 1537433116.183 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.183 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.183 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.183 * [misc]backup-simplify: Simplify 2 into 2 1537433116.183 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.183 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.183 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.183 * [misc]backup-simplify: Simplify PI into PI 1537433116.183 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.183 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of n in k 1537433116.183 * [misc]backup-simplify: Simplify n into n 1537433116.183 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.183 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.183 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.183 * [misc]backup-simplify: Simplify 2 into 2 1537433116.183 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.183 * [misc]backup-simplify: Simplify PI into PI 1537433116.184 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.184 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.184 * [misc]taylor: Taking taylor expansion of k in k 1537433116.184 * [misc]backup-simplify: Simplify 0 into 0 1537433116.184 * [misc]backup-simplify: Simplify 1 into 1 1537433116.184 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.185 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537433116.185 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433116.186 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537433116.186 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433116.188 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433116.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433116.189 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537433116.189 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433116.189 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433116.189 * [misc]taylor: Taking taylor expansion of k in k 1537433116.189 * [misc]backup-simplify: Simplify 0 into 0 1537433116.189 * [misc]backup-simplify: Simplify 1 into 1 1537433116.189 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537433116.190 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537433116.190 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433116.191 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1 1537433116.191 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1537433116.192 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1537433116.193 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537433116.193 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537433116.193 * [misc]backup-simplify: Simplify 0 into 0 1537433116.194 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433116.194 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1537433116.195 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1537433116.196 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433116.197 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.198 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433116.205 * [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 1537433116.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537433116.206 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.207 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433116.210 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433116.213 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537433116.216 * [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))))) 1537433116.216 * [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 1537433116.216 * [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 1537433116.216 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.216 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.216 * [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 1537433116.216 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1537433116.216 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.216 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.216 * [misc]backup-simplify: Simplify 2 into 2 1537433116.216 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.217 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.217 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.217 * [misc]backup-simplify: Simplify PI into PI 1537433116.217 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.217 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of n in k 1537433116.217 * [misc]backup-simplify: Simplify n into n 1537433116.217 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.217 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.217 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.217 * [misc]backup-simplify: Simplify 2 into 2 1537433116.217 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.217 * [misc]backup-simplify: Simplify PI into PI 1537433116.218 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.218 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.218 * [misc]taylor: Taking taylor expansion of k in k 1537433116.218 * [misc]backup-simplify: Simplify 0 into 0 1537433116.218 * [misc]backup-simplify: Simplify 1 into 1 1537433116.219 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.220 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537433116.220 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433116.221 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537433116.221 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433116.225 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433116.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433116.226 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537433116.226 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433116.226 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433116.226 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537433116.227 * [misc]taylor: Taking taylor expansion of k in k 1537433116.227 * [misc]backup-simplify: Simplify 0 into 0 1537433116.227 * [misc]backup-simplify: Simplify 1 into 1 1537433116.227 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433116.228 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537433116.229 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.229 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.230 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1537433116.231 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433116.232 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537433116.233 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433116.234 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433116.235 * [misc]backup-simplify: Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537433116.238 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1537433116.245 * [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))))))) 1537433116.250 * [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))))))) 1537433116.254 * [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))))))) 1537433116.255 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537433116.257 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537433116.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.264 * [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 1537433116.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433116.265 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1537433116.266 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1537433116.269 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1537433116.273 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537433116.275 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1537433116.278 * [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)))))))) 1537433116.281 * [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)))))))) 1537433116.284 * [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)))))))) 1537433116.295 * [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)))))))))))))) 1537433116.296 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 n) 2)) 1/2) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) 1537433116.296 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0 1537433116.296 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k 1537433116.296 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1537433116.296 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.296 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.296 * [misc]backup-simplify: Simplify 2 into 2 1537433116.296 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.297 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.297 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537433116.297 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537433116.297 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537433116.297 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537433116.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.297 * [misc]taylor: Taking taylor expansion of k in k 1537433116.297 * [misc]backup-simplify: Simplify 0 into 0 1537433116.297 * [misc]backup-simplify: Simplify 1 into 1 1537433116.297 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537433116.297 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537433116.297 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537433116.297 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.297 * [misc]backup-simplify: Simplify 2 into 2 1537433116.297 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433116.297 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.297 * [misc]backup-simplify: Simplify PI into PI 1537433116.297 * [misc]taylor: Taking taylor expansion of n in k 1537433116.297 * [misc]backup-simplify: Simplify n into n 1537433116.298 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433116.298 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537433116.298 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537433116.298 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537433116.298 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537433116.299 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 1537433116.299 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537433116.299 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537433116.299 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537433116.299 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.299 * [misc]backup-simplify: Simplify PI into PI 1537433116.299 * [misc]taylor: Taking taylor expansion of k in k 1537433116.299 * [misc]backup-simplify: Simplify 0 into 0 1537433116.299 * [misc]backup-simplify: Simplify 1 into 1 1537433116.299 * [misc]taylor: Taking taylor expansion of n in k 1537433116.299 * [misc]backup-simplify: Simplify n into n 1537433116.300 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537433116.301 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537433116.301 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433116.301 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.301 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537433116.301 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537433116.301 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537433116.301 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433116.301 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.301 * [misc]backup-simplify: Simplify 2 into 2 1537433116.302 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.302 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.302 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537433116.302 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537433116.302 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537433116.302 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537433116.302 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.302 * [misc]taylor: Taking taylor expansion of k in n 1537433116.302 * [misc]backup-simplify: Simplify k into k 1537433116.302 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537433116.302 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433116.302 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.302 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.302 * [misc]backup-simplify: Simplify 2 into 2 1537433116.302 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.302 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.302 * [misc]backup-simplify: Simplify PI into PI 1537433116.302 * [misc]taylor: Taking taylor expansion of n in n 1537433116.302 * [misc]backup-simplify: Simplify 0 into 0 1537433116.302 * [misc]backup-simplify: Simplify 1 into 1 1537433116.303 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.303 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.304 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.305 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.305 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433116.306 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.307 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.307 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537433116.307 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537433116.307 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537433116.307 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.307 * [misc]backup-simplify: Simplify PI into PI 1537433116.307 * [misc]taylor: Taking taylor expansion of k in n 1537433116.307 * [misc]backup-simplify: Simplify k into k 1537433116.307 * [misc]taylor: Taking taylor expansion of n in n 1537433116.307 * [misc]backup-simplify: Simplify 0 into 0 1537433116.307 * [misc]backup-simplify: Simplify 1 into 1 1537433116.307 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537433116.307 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537433116.308 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.308 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537433116.308 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537433116.308 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537433116.308 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433116.308 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.308 * [misc]backup-simplify: Simplify 2 into 2 1537433116.308 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.308 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.308 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537433116.309 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537433116.309 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537433116.309 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537433116.309 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.309 * [misc]taylor: Taking taylor expansion of k in n 1537433116.309 * [misc]backup-simplify: Simplify k into k 1537433116.309 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537433116.309 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433116.309 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.309 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.309 * [misc]backup-simplify: Simplify 2 into 2 1537433116.309 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.309 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.309 * [misc]backup-simplify: Simplify PI into PI 1537433116.309 * [misc]taylor: Taking taylor expansion of n in n 1537433116.309 * [misc]backup-simplify: Simplify 0 into 0 1537433116.309 * [misc]backup-simplify: Simplify 1 into 1 1537433116.309 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.310 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.310 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.312 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433116.313 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.313 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.314 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537433116.314 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537433116.314 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537433116.314 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.314 * [misc]backup-simplify: Simplify PI into PI 1537433116.314 * [misc]taylor: Taking taylor expansion of k in n 1537433116.314 * [misc]backup-simplify: Simplify k into k 1537433116.314 * [misc]taylor: Taking taylor expansion of n in n 1537433116.314 * [misc]backup-simplify: Simplify 0 into 0 1537433116.314 * [misc]backup-simplify: Simplify 1 into 1 1537433116.314 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537433116.314 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537433116.314 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.315 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537433116.316 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 1537433116.316 * [misc]taylor: Taking taylor expansion of 0 in k 1537433116.316 * [misc]backup-simplify: Simplify 0 into 0 1537433116.316 * [misc]backup-simplify: Simplify 0 into 0 1537433116.317 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.318 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433116.321 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433116.321 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537433116.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.322 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537433116.324 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433116.327 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.328 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.328 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433116.328 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433116.328 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.328 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.328 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433116.328 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1537433116.328 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.328 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.328 * [misc]backup-simplify: Simplify 2 into 2 1537433116.329 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.329 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.329 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537433116.329 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.329 * [misc]backup-simplify: Simplify PI into PI 1537433116.329 * [misc]taylor: Taking taylor expansion of k in k 1537433116.329 * [misc]backup-simplify: Simplify 0 into 0 1537433116.329 * [misc]backup-simplify: Simplify 1 into 1 1537433116.329 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433116.329 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433116.329 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.329 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433116.329 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433116.329 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.329 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.329 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.329 * [misc]backup-simplify: Simplify 2 into 2 1537433116.329 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.330 * [misc]backup-simplify: Simplify PI into PI 1537433116.330 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.331 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.331 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.331 * [misc]taylor: Taking taylor expansion of n in k 1537433116.331 * [misc]backup-simplify: Simplify n into n 1537433116.331 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.331 * [misc]taylor: Taking taylor expansion of k in k 1537433116.331 * [misc]backup-simplify: Simplify 0 into 0 1537433116.331 * [misc]backup-simplify: Simplify 1 into 1 1537433116.331 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.332 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433116.332 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433116.333 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.334 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.334 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537433116.334 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537433116.335 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537433116.336 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537433116.337 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.337 * [misc]backup-simplify: Simplify 0 into 0 1537433116.338 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1537433116.338 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1537433116.339 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1537433116.341 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433116.342 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.343 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.349 * [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 1537433116.350 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433116.350 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.351 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537433116.356 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433116.359 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.361 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.361 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433116.361 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.362 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.362 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.362 * [misc]backup-simplify: Simplify 2 into 2 1537433116.362 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.362 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.362 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.362 * [misc]backup-simplify: Simplify PI into PI 1537433116.362 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of k in k 1537433116.362 * [misc]backup-simplify: Simplify 0 into 0 1537433116.362 * [misc]backup-simplify: Simplify 1 into 1 1537433116.362 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433116.362 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433116.363 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.363 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433116.363 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433116.363 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.363 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.363 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.363 * [misc]backup-simplify: Simplify 2 into 2 1537433116.363 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.363 * [misc]backup-simplify: Simplify PI into PI 1537433116.363 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.364 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.364 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.364 * [misc]taylor: Taking taylor expansion of n in k 1537433116.364 * [misc]backup-simplify: Simplify n into n 1537433116.364 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.364 * [misc]taylor: Taking taylor expansion of k in k 1537433116.364 * [misc]backup-simplify: Simplify 0 into 0 1537433116.364 * [misc]backup-simplify: Simplify 1 into 1 1537433116.364 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.365 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433116.365 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433116.366 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.367 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.367 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433116.367 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.368 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537433116.369 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537433116.370 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.371 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537433116.372 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.373 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.373 * [misc]backup-simplify: Simplify 0 into 0 1537433116.373 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1537433116.374 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.375 * [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))) 1537433116.375 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433116.376 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.383 * [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 1537433116.383 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433116.383 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.384 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537433116.386 * [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 1537433116.389 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.390 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.390 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433116.390 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.391 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.391 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.391 * [misc]backup-simplify: Simplify 2 into 2 1537433116.391 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.391 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.391 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.391 * [misc]backup-simplify: Simplify PI into PI 1537433116.391 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of k in k 1537433116.391 * [misc]backup-simplify: Simplify 0 into 0 1537433116.391 * [misc]backup-simplify: Simplify 1 into 1 1537433116.391 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.391 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.391 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.391 * [misc]backup-simplify: Simplify 2 into 2 1537433116.391 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.391 * [misc]backup-simplify: Simplify PI into PI 1537433116.392 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.392 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.392 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.392 * [misc]taylor: Taking taylor expansion of n in k 1537433116.392 * [misc]backup-simplify: Simplify n into n 1537433116.392 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.392 * [misc]taylor: Taking taylor expansion of k in k 1537433116.392 * [misc]backup-simplify: Simplify 0 into 0 1537433116.392 * [misc]backup-simplify: Simplify 1 into 1 1537433116.392 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.392 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433116.393 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433116.393 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.394 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.394 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433116.394 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537433116.394 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.394 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.395 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1537433116.395 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537433116.397 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.398 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537433116.399 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433116.401 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537433116.403 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.405 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537433116.405 * [misc]backup-simplify: Simplify (- 0) into 0 1537433116.405 * [misc]backup-simplify: Simplify 0 into 0 1537433116.405 * [misc]backup-simplify: Simplify 0 into 0 1537433116.406 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537433116.406 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.410 * [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))) 1537433116.411 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433116.414 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.416 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.430 * [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 1537433116.430 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433116.431 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.432 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537433116.435 * [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 1537433116.438 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.440 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.440 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433116.440 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433116.440 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.440 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.440 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433116.440 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1537433116.440 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.440 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.440 * [misc]backup-simplify: Simplify 2 into 2 1537433116.440 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.440 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.440 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.441 * [misc]backup-simplify: Simplify PI into PI 1537433116.441 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of k in k 1537433116.441 * [misc]backup-simplify: Simplify 0 into 0 1537433116.441 * [misc]backup-simplify: Simplify 1 into 1 1537433116.441 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.441 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.441 * [misc]backup-simplify: Simplify 2 into 2 1537433116.441 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.441 * [misc]backup-simplify: Simplify PI into PI 1537433116.441 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.441 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.441 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.441 * [misc]taylor: Taking taylor expansion of n in k 1537433116.442 * [misc]backup-simplify: Simplify n into n 1537433116.442 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.442 * [misc]taylor: Taking taylor expansion of k in k 1537433116.442 * [misc]backup-simplify: Simplify 0 into 0 1537433116.442 * [misc]backup-simplify: Simplify 1 into 1 1537433116.442 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.442 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433116.442 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433116.443 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.443 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.443 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433116.444 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537433116.444 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.444 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.445 * [misc]backup-simplify: Simplify (* (pow PI 4) 1) into (pow PI 4) 1537433116.445 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537433116.446 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.447 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537433116.448 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.450 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.450 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537433116.450 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433116.451 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433116.454 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.455 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.455 * [misc]backup-simplify: Simplify (- 0) into 0 1537433116.455 * [misc]backup-simplify: Simplify 0 into 0 1537433116.455 * [misc]backup-simplify: Simplify 0 into 0 1537433116.455 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1537433116.456 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.460 * [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))) 1537433116.460 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433116.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.492 * [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 1537433116.492 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433116.493 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.494 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1537433116.504 * [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 1537433116.509 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.513 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.514 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.514 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.514 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.514 * [misc]backup-simplify: Simplify 2 into 2 1537433116.514 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.514 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.514 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.514 * [misc]backup-simplify: Simplify PI into PI 1537433116.514 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1537433116.514 * [misc]taylor: Taking taylor expansion of k in k 1537433116.515 * [misc]backup-simplify: Simplify 0 into 0 1537433116.515 * [misc]backup-simplify: Simplify 1 into 1 1537433116.515 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433116.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433116.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.515 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433116.515 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433116.515 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.515 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.515 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.515 * [misc]backup-simplify: Simplify 2 into 2 1537433116.515 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.515 * [misc]backup-simplify: Simplify PI into PI 1537433116.515 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.516 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.516 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.516 * [misc]taylor: Taking taylor expansion of n in k 1537433116.516 * [misc]backup-simplify: Simplify n into n 1537433116.516 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.516 * [misc]taylor: Taking taylor expansion of k in k 1537433116.516 * [misc]backup-simplify: Simplify 0 into 0 1537433116.516 * [misc]backup-simplify: Simplify 1 into 1 1537433116.516 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.517 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433116.517 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433116.518 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.519 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.519 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433116.520 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537433116.520 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537433116.520 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.520 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.521 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.521 * [misc]backup-simplify: Simplify (* (pow PI 5) 1) into (pow PI 5) 1537433116.521 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537433116.522 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.523 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433116.523 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433116.524 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1537433116.525 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537433116.527 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.528 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537433116.528 * [misc]backup-simplify: Simplify (- 0) into 0 1537433116.528 * [misc]backup-simplify: Simplify 0 into 0 1537433116.529 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537433116.530 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433116.531 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433116.533 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.535 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1537433116.535 * [misc]backup-simplify: Simplify (- 0) into 0 1537433116.535 * [misc]backup-simplify: Simplify 0 into 0 1537433116.535 * [misc]backup-simplify: Simplify 0 into 0 1537433116.536 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1537433116.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.539 * [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))) 1537433116.540 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433116.542 * [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 1537433116.544 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.574 * [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 1537433116.575 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433116.575 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.576 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1537433116.584 * [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 1537433116.589 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433116.592 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.592 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433116.592 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433116.592 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.592 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.592 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433116.592 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1537433116.592 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433116.592 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.592 * [misc]backup-simplify: Simplify 2 into 2 1537433116.593 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433116.593 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433116.593 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.593 * [misc]backup-simplify: Simplify PI into PI 1537433116.593 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of k in k 1537433116.593 * [misc]backup-simplify: Simplify 0 into 0 1537433116.593 * [misc]backup-simplify: Simplify 1 into 1 1537433116.593 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433116.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.593 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433116.593 * [misc]taylor: Taking taylor expansion of 2 in k 1537433116.593 * [misc]backup-simplify: Simplify 2 into 2 1537433116.593 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.593 * [misc]backup-simplify: Simplify PI into PI 1537433116.593 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.594 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.594 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.594 * [misc]taylor: Taking taylor expansion of n in k 1537433116.594 * [misc]backup-simplify: Simplify n into n 1537433116.594 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.594 * [misc]taylor: Taking taylor expansion of k in k 1537433116.594 * [misc]backup-simplify: Simplify 0 into 0 1537433116.594 * [misc]backup-simplify: Simplify 1 into 1 1537433116.594 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.594 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433116.595 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433116.595 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.596 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433116.596 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433116.597 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537433116.598 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537433116.598 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.598 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.598 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433116.599 * [misc]backup-simplify: Simplify (* (pow PI 6) 1) into (pow PI 6) 1537433116.600 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537433116.602 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433116.603 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537433116.605 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.608 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433116.616 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537433116.617 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) 1537433116.617 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0 1537433116.617 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1537433116.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k 1537433116.617 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) n) in k 1537433116.617 * [misc]taylor: Taking taylor expansion of (* PI -2) in k 1537433116.617 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.617 * [misc]backup-simplify: Simplify PI into PI 1537433116.617 * [misc]taylor: Taking taylor expansion of -2 in k 1537433116.617 * [misc]backup-simplify: Simplify -2 into -2 1537433116.617 * [misc]taylor: Taking taylor expansion of n in k 1537433116.617 * [misc]backup-simplify: Simplify n into n 1537433116.618 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537433116.618 * [misc]backup-simplify: Simplify (/ (* -2 PI) n) into (* -2 (/ PI n)) 1537433116.618 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537433116.619 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537433116.619 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0 1537433116.619 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537433116.619 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1537433116.619 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537433116.619 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433116.620 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433116.620 * [misc]taylor: Taking taylor expansion of k in k 1537433116.620 * [misc]backup-simplify: Simplify 0 into 0 1537433116.620 * [misc]backup-simplify: Simplify 1 into 1 1537433116.620 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537433116.620 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of -2 in k 1537433116.620 * [misc]backup-simplify: Simplify -2 into -2 1537433116.620 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.620 * [misc]backup-simplify: Simplify PI into PI 1537433116.620 * [misc]taylor: Taking taylor expansion of n in k 1537433116.620 * [misc]backup-simplify: Simplify n into n 1537433116.620 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433116.620 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433116.620 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537433116.620 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537433116.620 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537433116.620 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433116.620 * [misc]taylor: Taking taylor expansion of -1 in k 1537433116.620 * [misc]backup-simplify: Simplify -1 into -1 1537433116.620 * [misc]taylor: Taking taylor expansion of k in k 1537433116.620 * [misc]backup-simplify: Simplify 0 into 0 1537433116.620 * [misc]backup-simplify: Simplify 1 into 1 1537433116.621 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433116.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.621 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433116.621 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1537433116.621 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537433116.622 * [misc]backup-simplify: Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537433116.622 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537433116.622 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 1537433116.622 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) n) in n 1537433116.622 * [misc]taylor: Taking taylor expansion of (* PI -2) in n 1537433116.622 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.622 * [misc]backup-simplify: Simplify PI into PI 1537433116.622 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.622 * [misc]backup-simplify: Simplify -2 into -2 1537433116.622 * [misc]taylor: Taking taylor expansion of n in n 1537433116.622 * [misc]backup-simplify: Simplify 0 into 0 1537433116.622 * [misc]backup-simplify: Simplify 1 into 1 1537433116.622 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537433116.622 * [misc]backup-simplify: Simplify (/ (* -2 PI) 1) into (* -2 PI) 1537433116.623 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.623 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537433116.623 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433116.623 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433116.623 * [misc]taylor: Taking taylor expansion of k in n 1537433116.623 * [misc]backup-simplify: Simplify k into k 1537433116.623 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537433116.623 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.623 * [misc]backup-simplify: Simplify -2 into -2 1537433116.623 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.623 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.623 * [misc]backup-simplify: Simplify PI into PI 1537433116.623 * [misc]taylor: Taking taylor expansion of n in n 1537433116.623 * [misc]backup-simplify: Simplify 0 into 0 1537433116.623 * [misc]backup-simplify: Simplify 1 into 1 1537433116.624 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.624 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.624 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433116.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433116.625 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433116.626 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433116.626 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433116.626 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433116.626 * [misc]taylor: Taking taylor expansion of -1 in n 1537433116.626 * [misc]backup-simplify: Simplify -1 into -1 1537433116.626 * [misc]taylor: Taking taylor expansion of k in n 1537433116.626 * [misc]backup-simplify: Simplify k into k 1537433116.626 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433116.626 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433116.626 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433116.626 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433116.626 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433116.627 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537433116.627 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537433116.627 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 1537433116.627 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) n) in n 1537433116.627 * [misc]taylor: Taking taylor expansion of (* PI -2) in n 1537433116.627 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.627 * [misc]backup-simplify: Simplify PI into PI 1537433116.627 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.627 * [misc]backup-simplify: Simplify -2 into -2 1537433116.627 * [misc]taylor: Taking taylor expansion of n in n 1537433116.627 * [misc]backup-simplify: Simplify 0 into 0 1537433116.627 * [misc]backup-simplify: Simplify 1 into 1 1537433116.627 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537433116.628 * [misc]backup-simplify: Simplify (/ (* -2 PI) 1) into (* -2 PI) 1537433116.628 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.628 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537433116.628 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537433116.628 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537433116.628 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537433116.628 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537433116.629 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537433116.629 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433116.629 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433116.629 * [misc]taylor: Taking taylor expansion of k in n 1537433116.629 * [misc]backup-simplify: Simplify k into k 1537433116.629 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537433116.629 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433116.629 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.629 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.629 * [misc]backup-simplify: Simplify -2 into -2 1537433116.629 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.629 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.629 * [misc]backup-simplify: Simplify PI into PI 1537433116.629 * [misc]taylor: Taking taylor expansion of n in n 1537433116.629 * [misc]backup-simplify: Simplify 0 into 0 1537433116.629 * [misc]backup-simplify: Simplify 1 into 1 1537433116.629 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.629 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.629 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433116.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433116.630 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433116.631 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433116.631 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433116.631 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433116.631 * [misc]taylor: Taking taylor expansion of -1 in n 1537433116.631 * [misc]backup-simplify: Simplify -1 into -1 1537433116.631 * [misc]taylor: Taking taylor expansion of k in n 1537433116.631 * [misc]backup-simplify: Simplify k into k 1537433116.631 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433116.631 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433116.631 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433116.631 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433116.632 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433116.632 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537433116.632 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 1537433116.632 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.632 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.632 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.633 * [misc]backup-simplify: Simplify PI into PI 1537433116.633 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433116.633 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433116.633 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of -2 in k 1537433116.633 * [misc]backup-simplify: Simplify -2 into -2 1537433116.633 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.633 * [misc]backup-simplify: Simplify PI into PI 1537433116.633 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.633 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433116.633 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.633 * [misc]taylor: Taking taylor expansion of n in k 1537433116.633 * [misc]backup-simplify: Simplify n into n 1537433116.633 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.633 * [misc]taylor: Taking taylor expansion of k in k 1537433116.633 * [misc]backup-simplify: Simplify 0 into 0 1537433116.633 * [misc]backup-simplify: Simplify 1 into 1 1537433116.633 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.634 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537433116.634 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537433116.635 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537433116.635 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433116.635 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433116.635 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433116.635 * [misc]taylor: Taking taylor expansion of -1 in k 1537433116.635 * [misc]backup-simplify: Simplify -1 into -1 1537433116.635 * [misc]taylor: Taking taylor expansion of k in k 1537433116.635 * [misc]backup-simplify: Simplify 0 into 0 1537433116.635 * [misc]backup-simplify: Simplify 1 into 1 1537433116.635 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433116.635 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.636 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433116.636 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537433116.637 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433116.637 * [misc]backup-simplify: Simplify (/ PI (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433116.638 * [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))))) 1537433116.638 * [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))))) 1537433116.639 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537433116.640 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0 1537433116.641 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537433116.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.642 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433116.645 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433116.645 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537433116.645 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433116.646 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537433116.647 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433116.647 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0 1537433116.649 * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))) 1537433116.649 * [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 1537433116.649 * [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 1537433116.649 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433116.649 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433116.649 * [misc]taylor: Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.650 * [misc]backup-simplify: Simplify PI into PI 1537433116.650 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433116.650 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433116.650 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of -2 in k 1537433116.650 * [misc]backup-simplify: Simplify -2 into -2 1537433116.650 * [misc]taylor: Taking taylor expansion of PI in k 1537433116.650 * [misc]backup-simplify: Simplify PI into PI 1537433116.650 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.650 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433116.650 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433116.650 * [misc]taylor: Taking taylor expansion of n in k 1537433116.650 * [misc]backup-simplify: Simplify n into n 1537433116.650 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433116.650 * [misc]taylor: Taking taylor expansion of k in k 1537433116.650 * [misc]backup-simplify: Simplify 0 into 0 1537433116.650 * [misc]backup-simplify: Simplify 1 into 1 1537433116.650 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433116.651 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537433116.651 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537433116.652 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537433116.652 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433116.652 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433116.652 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433116.652 * [misc]taylor: Taking taylor expansion of -1 in k 1537433116.652 * [misc]backup-simplify: Simplify -1 into -1 1537433116.652 * [misc]taylor: Taking taylor expansion of k in k 1537433116.652 * [misc]backup-simplify: Simplify 0 into 0 1537433116.652 * [misc]backup-simplify: Simplify 1 into 1 1537433116.652 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433116.652 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433116.653 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433116.653 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433116.653 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537433116.654 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433116.655 * [misc]backup-simplify: Simplify (/ (pow PI 2) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433116.656 * [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))))) 1537433116.657 * [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)))))) 1537433116.659 * [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)))))) 1537433116.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537433116.660 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433116.661 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433116.665 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537433116.666 * [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)))))) 1537433116.667 * [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)))))) 1537433116.672 * [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 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537433116.672 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1537433116.672 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) 1/2) into (pow (* 2 (* n PI)) 1/2) 1537433116.673 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0 1537433116.673 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 1537433116.673 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 1537433116.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 1537433116.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.673 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433116.673 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433116.673 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.673 * [misc]backup-simplify: Simplify 2 into 2 1537433116.673 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.673 * [misc]taylor: Taking taylor expansion of n in n 1537433116.673 * [misc]backup-simplify: Simplify 0 into 0 1537433116.673 * [misc]backup-simplify: Simplify 1 into 1 1537433116.673 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.673 * [misc]backup-simplify: Simplify PI into PI 1537433116.673 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433116.673 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433116.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433116.675 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433116.675 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.676 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.677 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537433116.677 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433116.677 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 1537433116.678 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 1537433116.678 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 1537433116.678 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.678 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433116.678 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433116.678 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.678 * [misc]backup-simplify: Simplify 2 into 2 1537433116.678 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433116.678 * [misc]taylor: Taking taylor expansion of n in n 1537433116.678 * [misc]backup-simplify: Simplify 0 into 0 1537433116.678 * [misc]backup-simplify: Simplify 1 into 1 1537433116.678 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.678 * [misc]backup-simplify: Simplify PI into PI 1537433116.678 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433116.678 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433116.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433116.680 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433116.680 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.681 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.682 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537433116.683 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433116.683 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433116.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433116.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433116.687 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433116.687 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.688 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537433116.689 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433116.689 * [misc]backup-simplify: Simplify 0 into 0 1537433116.690 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.691 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433116.695 * [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 1537433116.695 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433116.697 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433116.697 * [misc]backup-simplify: Simplify 0 into 0 1537433116.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433116.707 * [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 1537433116.707 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.708 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537433116.710 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1537433116.710 * [misc]backup-simplify: Simplify 0 into 0 1537433116.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.714 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433116.723 * [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 1537433116.723 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0 1537433116.731 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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 1537433116.731 * [misc]backup-simplify: Simplify 0 into 0 1537433116.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.738 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433116.762 * [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 1537433116.763 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.764 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0 1537433116.773 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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 1537433116.773 * [misc]backup-simplify: Simplify 0 into 0 1537433116.775 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433116.778 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433116.802 * [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 1537433116.803 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433116.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))))) into 0 1537433116.819 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (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 1537433116.819 * [misc]backup-simplify: Simplify 0 into 0 1537433116.819 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433116.821 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) 1/2) into (pow (* 2 (/ PI n)) 1/2) 1537433116.822 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0 1537433116.822 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 1537433116.822 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 1537433116.822 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 1537433116.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.822 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433116.822 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.822 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.822 * [misc]backup-simplify: Simplify 2 into 2 1537433116.822 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.822 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.822 * [misc]backup-simplify: Simplify PI into PI 1537433116.822 * [misc]taylor: Taking taylor expansion of n in n 1537433116.822 * [misc]backup-simplify: Simplify 0 into 0 1537433116.822 * [misc]backup-simplify: Simplify 1 into 1 1537433116.822 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.823 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.823 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.825 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.825 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) 1537433116.825 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 1537433116.825 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 1537433116.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 1537433116.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.825 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433116.825 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433116.825 * [misc]taylor: Taking taylor expansion of 2 in n 1537433116.825 * [misc]backup-simplify: Simplify 2 into 2 1537433116.825 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.825 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.825 * [misc]backup-simplify: Simplify PI into PI 1537433116.825 * [misc]taylor: Taking taylor expansion of n in n 1537433116.826 * [misc]backup-simplify: Simplify 0 into 0 1537433116.826 * [misc]backup-simplify: Simplify 1 into 1 1537433116.826 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.826 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433116.827 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433116.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.828 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433116.828 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) 1537433116.829 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n)))) 1537433116.830 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.831 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433116.834 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433116.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.835 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537433116.837 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433116.837 * [misc]backup-simplify: Simplify 0 into 0 1537433116.838 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.845 * [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 1537433116.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537433116.849 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433116.849 * [misc]backup-simplify: Simplify 0 into 0 1537433116.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.852 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433116.858 * [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 1537433116.858 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.859 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537433116.861 * [misc]backup-simplify: Simplify (* (exp (* 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 1537433116.861 * [misc]backup-simplify: Simplify 0 into 0 1537433116.862 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.864 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433116.873 * [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 1537433116.874 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537433116.878 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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 1537433116.878 * [misc]backup-simplify: Simplify 0 into 0 1537433116.880 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.882 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433116.902 * [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 1537433116.903 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.904 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1537433116.913 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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 1537433116.914 * [misc]backup-simplify: Simplify 0 into 0 1537433116.916 * [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 1537433116.920 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433116.962 * [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 1537433116.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433116.964 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1537433116.972 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (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 1537433116.972 * [misc]backup-simplify: Simplify 0 into 0 1537433116.973 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) 1537433116.973 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) 1/2) into (pow (* -2 (/ PI n)) 1/2) 1537433116.973 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0 1537433116.973 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1537433116.973 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1537433116.974 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1537433116.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.974 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433116.974 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.974 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.974 * [misc]backup-simplify: Simplify -2 into -2 1537433116.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.974 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.974 * [misc]backup-simplify: Simplify PI into PI 1537433116.974 * [misc]taylor: Taking taylor expansion of n in n 1537433116.974 * [misc]backup-simplify: Simplify 0 into 0 1537433116.974 * [misc]backup-simplify: Simplify 1 into 1 1537433116.974 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.974 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.975 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433116.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433116.976 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537433116.976 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) 1537433116.976 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1537433116.976 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1537433116.976 * [misc]taylor: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1537433116.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433116.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433116.976 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433116.976 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433116.976 * [misc]taylor: Taking taylor expansion of -2 in n 1537433116.976 * [misc]backup-simplify: Simplify -2 into -2 1537433116.976 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433116.976 * [misc]taylor: Taking taylor expansion of PI in n 1537433116.976 * [misc]backup-simplify: Simplify PI into PI 1537433116.976 * [misc]taylor: Taking taylor expansion of n in n 1537433116.976 * [misc]backup-simplify: Simplify 0 into 0 1537433116.976 * [misc]backup-simplify: Simplify 1 into 1 1537433116.976 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433116.977 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433116.977 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433116.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433116.978 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537433116.978 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) 1537433116.979 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n)))) 1537433116.980 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433116.980 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433116.982 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433116.982 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433116.983 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537433116.984 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433116.984 * [misc]backup-simplify: Simplify 0 into 0 1537433116.985 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.986 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433116.990 * [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 1537433116.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433116.992 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537433116.995 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433116.995 * [misc]backup-simplify: Simplify 0 into 0 1537433116.997 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433116.998 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433117.008 * [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 1537433117.009 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433117.010 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1537433117.014 * [misc]backup-simplify: Simplify (* (exp (* 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 1537433117.014 * [misc]backup-simplify: Simplify 0 into 0 1537433117.016 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433117.019 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433117.035 * [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 1537433117.035 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433117.037 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0 1537433117.043 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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 1537433117.043 * [misc]backup-simplify: Simplify 0 into 0 1537433117.046 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433117.049 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433117.066 * [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 1537433117.066 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433117.067 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0 1537433117.072 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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 1537433117.072 * [misc]backup-simplify: Simplify 0 into 0 1537433117.074 * [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 1537433117.076 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433117.111 * [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 1537433117.112 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433117.113 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))))) into 0 1537433117.122 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (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 1537433117.122 * [misc]backup-simplify: Simplify 0 into 0 1537433117.123 * [misc]backup-simplify: Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) 1537433117.123 * * * [misc]progress: simplifying candidates 1537433117.123 * * * * [misc]progress: [ 1 / 148 ] simplifiying candidate # 1537433117.123 * * * * [misc]progress: [ 2 / 148 ] simplifiying candidate # 1537433117.123 * * * * [misc]progress: [ 3 / 148 ] simplifiying candidate # 1537433117.123 * * * * [misc]progress: [ 4 / 148 ] simplifiying candidate # 1537433117.123 * * * * [misc]progress: [ 5 / 148 ] simplifiying candidate # 1537433117.123 * * * * [misc]progress: [ 6 / 148 ] simplifiying candidate # 1537433117.123 * * * * [misc]progress: [ 7 / 148 ] simplifiying candidate # 1537433117.123 * * * * [misc]progress: [ 8 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 9 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 10 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 11 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 12 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 13 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 14 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 15 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 16 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 17 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 18 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 19 / 148 ] simplifiying candidate # 1537433117.124 * * * * [misc]progress: [ 20 / 148 ] simplifiying candidate # 1537433117.124 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433117.125 * * [misc]simplify: iters left: 6 (15 enodes) 1537433117.130 * * [misc]simplify: iters left: 5 (34 enodes) 1537433117.139 * * [misc]simplify: iters left: 4 (80 enodes) 1537433117.169 * * [misc]simplify: iters left: 3 (223 enodes) 1537433117.367 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433117.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537433117.367 * * * * [misc]progress: [ 21 / 148 ] simplifiying candidate # 1537433117.368 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433117.369 * * [misc]simplify: iters left: 6 (15 enodes) 1537433117.376 * * [misc]simplify: iters left: 5 (34 enodes) 1537433117.386 * * [misc]simplify: iters left: 4 (80 enodes) 1537433117.421 * * [misc]simplify: iters left: 3 (223 enodes) 1537433117.607 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433117.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537433117.607 * * * * [misc]progress: [ 22 / 148 ] simplifiying candidate # 1537433117.607 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537433117.608 * * [misc]simplify: iters left: 6 (16 enodes) 1537433117.612 * * [misc]simplify: iters left: 5 (31 enodes) 1537433117.622 * * [misc]simplify: iters left: 4 (72 enodes) 1537433117.672 * * [misc]simplify: iters left: 3 (215 enodes) 1537433117.858 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537433117.858 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537433117.859 * * * * [misc]progress: [ 23 / 148 ] simplifiying candidate # 1537433117.859 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433117.860 * * [misc]simplify: iters left: 6 (15 enodes) 1537433117.868 * * [misc]simplify: iters left: 5 (34 enodes) 1537433117.886 * * [misc]simplify: iters left: 4 (80 enodes) 1537433117.937 * * [misc]simplify: iters left: 3 (223 enodes) 1537433118.112 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433118.112 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537433118.112 * * * * [misc]progress: [ 24 / 148 ] simplifiying candidate # 1537433118.113 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433118.114 * * [misc]simplify: iters left: 6 (15 enodes) 1537433118.121 * * [misc]simplify: iters left: 5 (34 enodes) 1537433118.131 * * [misc]simplify: iters left: 4 (80 enodes) 1537433118.169 * * [misc]simplify: iters left: 3 (223 enodes) 1537433118.339 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433118.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537433118.340 * * * * [misc]progress: [ 25 / 148 ] simplifiying candidate # 1537433118.340 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537433118.341 * * [misc]simplify: iters left: 6 (16 enodes) 1537433118.345 * * [misc]simplify: iters left: 5 (31 enodes) 1537433118.353 * * [misc]simplify: iters left: 4 (72 enodes) 1537433118.392 * * [misc]simplify: iters left: 3 (215 enodes) 1537433118.591 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537433118.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537433118.592 * * * * [misc]progress: [ 26 / 148 ] simplifiying candidate # 1537433118.592 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433118.594 * * [misc]simplify: iters left: 6 (16 enodes) 1537433118.601 * * [misc]simplify: iters left: 5 (34 enodes) 1537433118.620 * * [misc]simplify: iters left: 4 (81 enodes) 1537433118.674 * * [misc]simplify: iters left: 3 (220 enodes) 1537433118.849 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433118.849 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537433118.849 * * * * [misc]progress: [ 27 / 148 ] simplifiying candidate # 1537433118.849 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433118.850 * * [misc]simplify: iters left: 6 (16 enodes) 1537433118.856 * * [misc]simplify: iters left: 5 (34 enodes) 1537433118.866 * * [misc]simplify: iters left: 4 (81 enodes) 1537433118.894 * * [misc]simplify: iters left: 3 (220 enodes) 1537433119.091 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537433119.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537433119.091 * * * * [misc]progress: [ 28 / 148 ] simplifiying candidate # 1537433119.092 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537433119.094 * * [misc]simplify: iters left: 6 (16 enodes) 1537433119.101 * * [misc]simplify: iters left: 5 (30 enodes) 1537433119.115 * * [misc]simplify: iters left: 4 (62 enodes) 1537433119.136 * * [misc]simplify: iters left: 3 (164 enodes) 1537433119.324 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537433119.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537433119.324 * * * * [misc]progress: [ 29 / 148 ] simplifiying candidate # 1537433119.324 * [enter]simplify: Simplifying (- (log (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537433119.326 * * [misc]simplify: iters left: 6 (15 enodes) 1537433119.332 * * [misc]simplify: iters left: 5 (25 enodes) 1537433119.342 * * [misc]simplify: iters left: 4 (41 enodes) 1537433119.361 * * [misc]simplify: iters left: 3 (80 enodes) 1537433119.411 * * [misc]simplify: iters left: 2 (236 enodes) 1537433119.822 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537433119.823 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537433119.823 * * * * [misc]progress: [ 30 / 148 ] simplifiying candidate # 1537433119.823 * * * * [misc]progress: [ 31 / 148 ] simplifiying candidate # 1537433119.823 * * * * [misc]progress: [ 32 / 148 ] simplifiying candidate # 1537433119.823 * [enter]simplify: Simplifying (/ (/ (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1537433119.825 * * [misc]simplify: iters left: 6 (19 enodes) 1537433119.835 * * [misc]simplify: iters left: 5 (38 enodes) 1537433119.855 * * [misc]simplify: iters left: 4 (109 enodes) 1537433119.926 * * [misc]simplify: iters left: 3 (485 enodes) 1537433121.081 * [exit]simplify: Simplified to (/ (* (sqrt (* (* 2 n) PI)) (* (/ 2 k) (/ (* PI n) (sqrt k)))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3)) 1537433121.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (sqrt (* (* 2 n) PI)) (* (/ 2 k) (/ (* PI n) (sqrt k)))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3)))) 1537433121.082 * * * * [misc]progress: [ 33 / 148 ] simplifiying candidate # 1537433121.082 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1537433121.084 * * [misc]simplify: iters left: 6 (17 enodes) 1537433121.093 * * [misc]simplify: iters left: 5 (37 enodes) 1537433121.114 * * [misc]simplify: iters left: 4 (95 enodes) 1537433121.169 * * [misc]simplify: iters left: 3 (262 enodes) 1537433121.520 * [exit]simplify: Simplified to (* (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))) k)) 1537433121.520 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))) k)))) 1537433121.520 * * * * [misc]progress: [ 34 / 148 ] simplifiying candidate # 1537433121.520 * * * * [misc]progress: [ 35 / 148 ] simplifiying candidate # 1537433121.520 * * * * [misc]progress: [ 36 / 148 ] simplifiying candidate # 1537433121.520 * * * * [misc]progress: [ 37 / 148 ] simplifiying candidate # 1537433121.520 * * * * [misc]progress: [ 38 / 148 ] simplifiying candidate # 1537433121.520 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433121.522 * * [misc]simplify: iters left: 6 (17 enodes) 1537433121.525 * * [misc]simplify: iters left: 5 (28 enodes) 1537433121.531 * * [misc]simplify: iters left: 4 (43 enodes) 1537433121.541 * * [misc]simplify: iters left: 3 (48 enodes) 1537433121.554 * * [misc]simplify: iters left: 2 (51 enodes) 1537433121.576 * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) 1537433121.576 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433121.576 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433121.578 * * [misc]simplify: iters left: 6 (15 enodes) 1537433121.583 * * [misc]simplify: iters left: 5 (20 enodes) 1537433121.590 * * [misc]simplify: iters left: 4 (26 enodes) 1537433121.598 * * [misc]simplify: iters left: 3 (28 enodes) 1537433121.603 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) 1537433121.603 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))))) 1537433121.603 * * * * [misc]progress: [ 39 / 148 ] simplifiying candidate # 1537433121.603 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537433121.604 * * [misc]simplify: iters left: 6 (16 enodes) 1537433121.607 * * [misc]simplify: iters left: 5 (23 enodes) 1537433121.611 * * [misc]simplify: iters left: 4 (31 enodes) 1537433121.616 * * [misc]simplify: iters left: 3 (33 enodes) 1537433121.623 * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) 1537433121.623 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433121.623 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433121.624 * * [misc]simplify: iters left: 6 (15 enodes) 1537433121.626 * * [misc]simplify: iters left: 5 (20 enodes) 1537433121.630 * * [misc]simplify: iters left: 4 (26 enodes) 1537433121.636 * * [misc]simplify: iters left: 3 (28 enodes) 1537433121.642 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) 1537433121.642 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))))) 1537433121.642 * * * * [misc]progress: [ 40 / 148 ] simplifiying candidate # 1537433121.642 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) 1) 1537433121.643 * * [misc]simplify: iters left: 6 (15 enodes) 1537433121.646 * * [misc]simplify: iters left: 5 (24 enodes) 1537433121.653 * * [misc]simplify: iters left: 4 (36 enodes) 1537433121.660 * * [misc]simplify: iters left: 3 (52 enodes) 1537433121.670 * * [misc]simplify: iters left: 2 (78 enodes) 1537433121.694 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) 1537433121.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433121.694 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433121.695 * * [misc]simplify: iters left: 6 (14 enodes) 1537433121.701 * * [misc]simplify: iters left: 5 (19 enodes) 1537433121.707 * * [misc]simplify: iters left: 4 (25 enodes) 1537433121.715 * * [misc]simplify: iters left: 3 (26 enodes) 1537433121.724 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)) 1537433121.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)))) 1537433121.724 * * * * [misc]progress: [ 41 / 148 ] simplifiying candidate # 1537433121.724 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433121.726 * * [misc]simplify: iters left: 6 (16 enodes) 1537433121.732 * * [misc]simplify: iters left: 5 (23 enodes) 1537433121.740 * * [misc]simplify: iters left: 4 (29 enodes) 1537433121.749 * * [misc]simplify: iters left: 3 (30 enodes) 1537433121.759 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433121.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433121.759 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433121.760 * * [misc]simplify: iters left: 6 (15 enodes) 1537433121.763 * * [misc]simplify: iters left: 5 (20 enodes) 1537433121.768 * * [misc]simplify: iters left: 4 (26 enodes) 1537433121.772 * * [misc]simplify: iters left: 3 (28 enodes) 1537433121.777 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) 1537433121.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))))) 1537433121.777 * * * * [misc]progress: [ 42 / 148 ] simplifiying candidate # 1537433121.777 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433121.778 * * [misc]simplify: iters left: 6 (15 enodes) 1537433121.781 * * [misc]simplify: iters left: 5 (20 enodes) 1537433121.785 * * [misc]simplify: iters left: 4 (26 enodes) 1537433121.789 * * [misc]simplify: iters left: 3 (28 enodes) 1537433121.793 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) 1537433121.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433121.793 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433121.794 * * [misc]simplify: iters left: 6 (15 enodes) 1537433121.797 * * [misc]simplify: iters left: 5 (20 enodes) 1537433121.801 * * [misc]simplify: iters left: 4 (26 enodes) 1537433121.804 * * [misc]simplify: iters left: 3 (28 enodes) 1537433121.809 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) 1537433121.809 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))))) 1537433121.809 * * * * [misc]progress: [ 43 / 148 ] simplifiying candidate # 1537433121.809 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) 1) 1537433121.810 * * [misc]simplify: iters left: 6 (14 enodes) 1537433121.813 * * [misc]simplify: iters left: 5 (21 enodes) 1537433121.817 * * [misc]simplify: iters left: 4 (29 enodes) 1537433121.821 * * [misc]simplify: iters left: 3 (31 enodes) 1537433121.825 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) 1537433121.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433121.825 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433121.826 * * [misc]simplify: iters left: 6 (14 enodes) 1537433121.829 * * [misc]simplify: iters left: 5 (19 enodes) 1537433121.832 * * [misc]simplify: iters left: 4 (25 enodes) 1537433121.842 * * [misc]simplify: iters left: 3 (26 enodes) 1537433121.851 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)) 1537433121.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k)))) 1537433121.851 * * * * [misc]progress: [ 44 / 148 ] simplifiying candidate # 1537433121.852 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433121.853 * * [misc]simplify: iters left: 6 (12 enodes) 1537433121.857 * * [misc]simplify: iters left: 5 (17 enodes) 1537433121.862 * * [misc]simplify: iters left: 4 (23 enodes) 1537433121.865 * * [misc]simplify: iters left: 3 (28 enodes) 1537433121.869 * * [misc]simplify: iters left: 2 (29 enodes) 1537433121.874 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433121.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537433121.874 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537433121.875 * * [misc]simplify: iters left: 6 (12 enodes) 1537433121.878 * * [misc]simplify: iters left: 5 (16 enodes) 1537433121.881 * * [misc]simplify: iters left: 4 (19 enodes) 1537433121.889 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537433121.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537433121.889 * * * * [misc]progress: [ 45 / 148 ] simplifiying candidate # 1537433121.890 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (sqrt (sqrt k))) 1537433121.891 * * [misc]simplify: iters left: 6 (11 enodes) 1537433121.894 * * [misc]simplify: iters left: 5 (14 enodes) 1537433121.899 * * [misc]simplify: iters left: 4 (17 enodes) 1537433121.905 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) 1537433121.905 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537433121.906 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537433121.907 * * [misc]simplify: iters left: 6 (12 enodes) 1537433121.911 * * [misc]simplify: iters left: 5 (16 enodes) 1537433121.916 * * [misc]simplify: iters left: 4 (19 enodes) 1537433121.924 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537433121.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537433121.924 * * * * [misc]progress: [ 46 / 148 ] simplifiying candidate # 1537433121.924 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) 1) 1537433121.925 * * [misc]simplify: iters left: 6 (10 enodes) 1537433121.929 * * [misc]simplify: iters left: 5 (15 enodes) 1537433121.934 * * [misc]simplify: iters left: 4 (18 enodes) 1537433121.940 * * [misc]simplify: iters left: 3 (21 enodes) 1537433121.944 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1537433121.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537433121.944 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)) 1537433121.945 * * [misc]simplify: iters left: 6 (11 enodes) 1537433121.947 * * [misc]simplify: iters left: 5 (15 enodes) 1537433121.951 * * [misc]simplify: iters left: 4 (18 enodes) 1537433121.955 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt k)) 1537433121.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537433121.955 * * * * [misc]progress: [ 47 / 148 ] simplifiying candidate # 1537433121.955 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433121.956 * * [misc]simplify: iters left: 6 (17 enodes) 1537433121.960 * * [misc]simplify: iters left: 5 (28 enodes) 1537433121.966 * * [misc]simplify: iters left: 4 (44 enodes) 1537433121.974 * * [misc]simplify: iters left: 3 (59 enodes) 1537433121.983 * * [misc]simplify: iters left: 2 (71 enodes) 1537433121.998 * * [misc]simplify: iters left: 1 (74 enodes) 1537433122.024 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537433122.024 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433122.024 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433122.026 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.032 * * [misc]simplify: iters left: 5 (22 enodes) 1537433122.040 * * [misc]simplify: iters left: 4 (31 enodes) 1537433122.048 * * [misc]simplify: iters left: 3 (33 enodes) 1537433122.053 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) 1537433122.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))))) 1537433122.053 * * * * [misc]progress: [ 48 / 148 ] simplifiying candidate # 1537433122.053 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537433122.054 * * [misc]simplify: iters left: 6 (16 enodes) 1537433122.057 * * [misc]simplify: iters left: 5 (25 enodes) 1537433122.062 * * [misc]simplify: iters left: 4 (36 enodes) 1537433122.068 * * [misc]simplify: iters left: 3 (41 enodes) 1537433122.074 * * [misc]simplify: iters left: 2 (47 enodes) 1537433122.082 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) 1537433122.082 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433122.083 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433122.084 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.090 * * [misc]simplify: iters left: 5 (22 enodes) 1537433122.097 * * [misc]simplify: iters left: 4 (31 enodes) 1537433122.106 * * [misc]simplify: iters left: 3 (33 enodes) 1537433122.116 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) 1537433122.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2)))))) 1537433122.116 * * * * [misc]progress: [ 49 / 148 ] simplifiying candidate # 1537433122.117 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537433122.117 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.122 * * [misc]simplify: iters left: 5 (26 enodes) 1537433122.131 * * [misc]simplify: iters left: 4 (37 enodes) 1537433122.146 * * [misc]simplify: iters left: 3 (43 enodes) 1537433122.157 * * [misc]simplify: iters left: 2 (46 enodes) 1537433122.168 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537433122.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433122.168 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433122.169 * * [misc]simplify: iters left: 6 (14 enodes) 1537433122.175 * * [misc]simplify: iters left: 5 (21 enodes) 1537433122.179 * * [misc]simplify: iters left: 4 (30 enodes) 1537433122.184 * * [misc]simplify: iters left: 3 (32 enodes) 1537433122.189 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) 1537433122.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (* n 2)) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))) 1537433122.189 * * * * [misc]progress: [ 50 / 148 ] simplifiying candidate # 1537433122.189 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433122.190 * * [misc]simplify: iters left: 6 (16 enodes) 1537433122.193 * * [misc]simplify: iters left: 5 (25 enodes) 1537433122.198 * * [misc]simplify: iters left: 4 (37 enodes) 1537433122.204 * * [misc]simplify: iters left: 3 (44 enodes) 1537433122.210 * * [misc]simplify: iters left: 2 (45 enodes) 1537433122.217 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) 1537433122.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433122.217 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433122.218 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.220 * * [misc]simplify: iters left: 5 (22 enodes) 1537433122.226 * * [misc]simplify: iters left: 4 (31 enodes) 1537433122.231 * * [misc]simplify: iters left: 3 (33 enodes) 1537433122.237 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) 1537433122.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))))) 1537433122.237 * * * * [misc]progress: [ 51 / 148 ] simplifiying candidate # 1537433122.237 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433122.239 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.245 * * [misc]simplify: iters left: 5 (22 enodes) 1537433122.253 * * [misc]simplify: iters left: 4 (31 enodes) 1537433122.262 * * [misc]simplify: iters left: 3 (33 enodes) 1537433122.273 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1537433122.273 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433122.273 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433122.275 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.281 * * [misc]simplify: iters left: 5 (22 enodes) 1537433122.289 * * [misc]simplify: iters left: 4 (31 enodes) 1537433122.298 * * [misc]simplify: iters left: 3 (33 enodes) 1537433122.309 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) 1537433122.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2)))))) 1537433122.309 * * * * [misc]progress: [ 52 / 148 ] simplifiying candidate # 1537433122.310 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537433122.311 * * [misc]simplify: iters left: 6 (14 enodes) 1537433122.314 * * [misc]simplify: iters left: 5 (23 enodes) 1537433122.318 * * [misc]simplify: iters left: 4 (32 enodes) 1537433122.324 * * [misc]simplify: iters left: 3 (37 enodes) 1537433122.329 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) 1537433122.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433122.329 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433122.331 * * [misc]simplify: iters left: 6 (14 enodes) 1537433122.334 * * [misc]simplify: iters left: 5 (21 enodes) 1537433122.338 * * [misc]simplify: iters left: 4 (30 enodes) 1537433122.342 * * [misc]simplify: iters left: 3 (32 enodes) 1537433122.348 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1537433122.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) 1537433122.348 * * * * [misc]progress: [ 53 / 148 ] simplifiying candidate # 1537433122.349 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433122.349 * * [misc]simplify: iters left: 6 (10 enodes) 1537433122.352 * * [misc]simplify: iters left: 5 (17 enodes) 1537433122.358 * * [misc]simplify: iters left: 4 (25 enodes) 1537433122.366 * * [misc]simplify: iters left: 3 (34 enodes) 1537433122.375 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1537433122.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537433122.376 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433122.377 * * [misc]simplify: iters left: 6 (14 enodes) 1537433122.383 * * [misc]simplify: iters left: 5 (21 enodes) 1537433122.391 * * [misc]simplify: iters left: 4 (30 enodes) 1537433122.400 * * [misc]simplify: iters left: 3 (32 enodes) 1537433122.411 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))) 1537433122.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))))) 1537433122.411 * * * * [misc]progress: [ 54 / 148 ] simplifiying candidate # 1537433122.411 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (sqrt k))) 1537433122.412 * * [misc]simplify: iters left: 5 (9 enodes) 1537433122.416 * * [misc]simplify: iters left: 4 (14 enodes) 1537433122.421 * * [misc]simplify: iters left: 3 (19 enodes) 1537433122.426 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1537433122.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537433122.426 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433122.428 * * [misc]simplify: iters left: 6 (14 enodes) 1537433122.433 * * [misc]simplify: iters left: 5 (21 enodes) 1537433122.441 * * [misc]simplify: iters left: 4 (30 enodes) 1537433122.453 * * [misc]simplify: iters left: 3 (32 enodes) 1537433122.464 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))) 1537433122.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2))))) 1537433122.464 * * * * [misc]progress: [ 55 / 148 ] simplifiying candidate # 1537433122.465 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) 1) 1537433122.465 * * [misc]simplify: iters left: 5 (6 enodes) 1537433122.468 * * [misc]simplify: iters left: 4 (11 enodes) 1537433122.471 * [exit]simplify: Simplified to (sqrt PI) 1537433122.471 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433122.471 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433122.472 * * [misc]simplify: iters left: 6 (13 enodes) 1537433122.477 * * [misc]simplify: iters left: 5 (20 enodes) 1537433122.485 * * [misc]simplify: iters left: 4 (29 enodes) 1537433122.494 * * [misc]simplify: iters left: 3 (31 enodes) 1537433122.504 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))) 1537433122.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))))) 1537433122.504 * * * * [misc]progress: [ 56 / 148 ] simplifiying candidate # 1537433122.505 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433122.506 * * [misc]simplify: iters left: 6 (17 enodes) 1537433122.514 * * [misc]simplify: iters left: 5 (28 enodes) 1537433122.522 * * [misc]simplify: iters left: 4 (48 enodes) 1537433122.533 * * [misc]simplify: iters left: 3 (84 enodes) 1537433122.552 * * [misc]simplify: iters left: 2 (123 enodes) 1537433122.578 * * [misc]simplify: iters left: 1 (141 enodes) 1537433122.616 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537433122.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537433122.616 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537433122.617 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.620 * * [misc]simplify: iters left: 5 (22 enodes) 1537433122.624 * * [misc]simplify: iters left: 4 (31 enodes) 1537433122.628 * * [misc]simplify: iters left: 3 (32 enodes) 1537433122.637 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))) 1537433122.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))))) 1537433122.637 * * * * [misc]progress: [ 57 / 148 ] simplifiying candidate # 1537433122.638 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (sqrt (sqrt k))) 1537433122.639 * * [misc]simplify: iters left: 6 (16 enodes) 1537433122.646 * * [misc]simplify: iters left: 5 (25 enodes) 1537433122.656 * * [misc]simplify: iters left: 4 (40 enodes) 1537433122.669 * * [misc]simplify: iters left: 3 (55 enodes) 1537433122.677 * * [misc]simplify: iters left: 2 (63 enodes) 1537433122.685 * * [misc]simplify: iters left: 1 (66 enodes) 1537433122.697 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) 1537433122.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537433122.697 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537433122.698 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.702 * * [misc]simplify: iters left: 5 (22 enodes) 1537433122.710 * * [misc]simplify: iters left: 4 (31 enodes) 1537433122.719 * * [misc]simplify: iters left: 3 (32 enodes) 1537433122.729 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))) 1537433122.729 * [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 (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))))) 1537433122.729 * * * * [misc]progress: [ 58 / 148 ] simplifiying candidate # 1537433122.729 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) 1) 1537433122.731 * * [misc]simplify: iters left: 6 (15 enodes) 1537433122.734 * * [misc]simplify: iters left: 5 (26 enodes) 1537433122.739 * * [misc]simplify: iters left: 4 (40 enodes) 1537433122.748 * * [misc]simplify: iters left: 3 (65 enodes) 1537433122.772 * * [misc]simplify: iters left: 2 (146 enodes) 1537433122.826 * * [misc]simplify: iters left: 1 (150 enodes) 1537433122.847 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) 1537433122.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537433122.848 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)) 1537433122.849 * * [misc]simplify: iters left: 6 (14 enodes) 1537433122.855 * * [misc]simplify: iters left: 5 (21 enodes) 1537433122.863 * * [misc]simplify: iters left: 4 (30 enodes) 1537433122.871 * * [misc]simplify: iters left: 3 (32 enodes) 1537433122.882 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))) 1537433122.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))))) 1537433122.883 * * * * [misc]progress: [ 59 / 148 ] simplifiying candidate # 1537433122.883 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433122.885 * * [misc]simplify: iters left: 6 (19 enodes) 1537433122.894 * * [misc]simplify: iters left: 5 (34 enodes) 1537433122.910 * * [misc]simplify: iters left: 4 (71 enodes) 1537433122.944 * * [misc]simplify: iters left: 3 (140 enodes) 1537433123.018 * * [misc]simplify: iters left: 2 (249 enodes) 1537433123.104 * * [misc]simplify: iters left: 1 (308 enodes) 1537433123.217 * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433123.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433123.217 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433123.219 * * [misc]simplify: iters left: 6 (16 enodes) 1537433123.222 * * [misc]simplify: iters left: 5 (23 enodes) 1537433123.228 * * [misc]simplify: iters left: 4 (32 enodes) 1537433123.237 * * [misc]simplify: iters left: 3 (33 enodes) 1537433123.250 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433123.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433123.250 * * * * [misc]progress: [ 60 / 148 ] simplifiying candidate # 1537433123.250 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537433123.252 * * [misc]simplify: iters left: 6 (18 enodes) 1537433123.260 * * [misc]simplify: iters left: 5 (31 enodes) 1537433123.274 * * [misc]simplify: iters left: 4 (57 enodes) 1537433123.293 * * [misc]simplify: iters left: 3 (89 enodes) 1537433123.313 * * [misc]simplify: iters left: 2 (122 enodes) 1537433123.354 * * [misc]simplify: iters left: 1 (139 enodes) 1537433123.403 * [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))) 1537433123.403 * [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 (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433123.403 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433123.404 * * [misc]simplify: iters left: 6 (16 enodes) 1537433123.408 * * [misc]simplify: iters left: 5 (23 enodes) 1537433123.412 * * [misc]simplify: iters left: 4 (32 enodes) 1537433123.417 * * [misc]simplify: iters left: 3 (33 enodes) 1537433123.423 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433123.423 * [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))))) (sqrt (sqrt k))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433123.423 * * * * [misc]progress: [ 61 / 148 ] simplifiying candidate # 1537433123.423 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537433123.424 * * [misc]simplify: iters left: 6 (17 enodes) 1537433123.429 * * [misc]simplify: iters left: 5 (32 enodes) 1537433123.443 * * [misc]simplify: iters left: 4 (57 enodes) 1537433123.468 * * [misc]simplify: iters left: 3 (96 enodes) 1537433123.533 * * [misc]simplify: iters left: 2 (280 enodes) 1537433123.634 * * [misc]simplify: iters left: 1 (343 enodes) 1537433123.692 * [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))))) 1537433123.692 * [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 (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433123.692 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433123.694 * * [misc]simplify: iters left: 6 (15 enodes) 1537433123.700 * * [misc]simplify: iters left: 5 (22 enodes) 1537433123.707 * * [misc]simplify: iters left: 4 (31 enodes) 1537433123.716 * * [misc]simplify: iters left: 3 (32 enodes) 1537433123.728 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537433123.728 * [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 (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537433123.728 * * * * [misc]progress: [ 62 / 148 ] simplifiying candidate # 1537433123.728 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433123.730 * * [misc]simplify: iters left: 6 (18 enodes) 1537433123.738 * * [misc]simplify: iters left: 5 (29 enodes) 1537433123.750 * * [misc]simplify: iters left: 4 (49 enodes) 1537433123.771 * * [misc]simplify: iters left: 3 (85 enodes) 1537433123.796 * * [misc]simplify: iters left: 2 (123 enodes) 1537433123.833 * * [misc]simplify: iters left: 1 (142 enodes) 1537433123.897 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537433123.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433123.897 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433123.899 * * [misc]simplify: iters left: 6 (16 enodes) 1537433123.907 * * [misc]simplify: iters left: 5 (23 enodes) 1537433123.915 * * [misc]simplify: iters left: 4 (32 enodes) 1537433123.924 * * [misc]simplify: iters left: 3 (33 enodes) 1537433123.937 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433123.937 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433123.937 * * * * [misc]progress: [ 63 / 148 ] simplifiying candidate # 1537433123.937 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433123.939 * * [misc]simplify: iters left: 6 (17 enodes) 1537433123.946 * * [misc]simplify: iters left: 5 (26 enodes) 1537433123.956 * * [misc]simplify: iters left: 4 (41 enodes) 1537433123.971 * * [misc]simplify: iters left: 3 (55 enodes) 1537433123.987 * * [misc]simplify: iters left: 2 (63 enodes) 1537433124.004 * * [misc]simplify: iters left: 1 (66 enodes) 1537433124.032 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) 1537433124.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433124.034 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433124.036 * * [misc]simplify: iters left: 6 (16 enodes) 1537433124.042 * * [misc]simplify: iters left: 5 (23 enodes) 1537433124.051 * * [misc]simplify: iters left: 4 (32 enodes) 1537433124.060 * * [misc]simplify: iters left: 3 (33 enodes) 1537433124.073 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433124.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433124.073 * * * * [misc]progress: [ 64 / 148 ] simplifiying candidate # 1537433124.073 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537433124.075 * * [misc]simplify: iters left: 6 (16 enodes) 1537433124.081 * * [misc]simplify: iters left: 5 (27 enodes) 1537433124.091 * * [misc]simplify: iters left: 4 (41 enodes) 1537433124.109 * * [misc]simplify: iters left: 3 (66 enodes) 1537433124.143 * * [misc]simplify: iters left: 2 (146 enodes) 1537433124.189 * * [misc]simplify: iters left: 1 (150 enodes) 1537433124.198 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) 1537433124.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433124.199 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433124.200 * * [misc]simplify: iters left: 6 (15 enodes) 1537433124.203 * * [misc]simplify: iters left: 5 (22 enodes) 1537433124.207 * * [misc]simplify: iters left: 4 (31 enodes) 1537433124.212 * * [misc]simplify: iters left: 3 (32 enodes) 1537433124.217 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537433124.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537433124.218 * * * * [misc]progress: [ 65 / 148 ] simplifiying candidate # 1537433124.218 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433124.219 * * [misc]simplify: iters left: 6 (16 enodes) 1537433124.222 * * [misc]simplify: iters left: 5 (29 enodes) 1537433124.230 * * [misc]simplify: iters left: 4 (57 enodes) 1537433124.258 * * [misc]simplify: iters left: 3 (124 enodes) 1537433124.315 * * [misc]simplify: iters left: 2 (335 enodes) 1537433124.553 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) 1537433124.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537433124.554 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433124.555 * * [misc]simplify: iters left: 6 (15 enodes) 1537433124.561 * * [misc]simplify: iters left: 5 (22 enodes) 1537433124.569 * * [misc]simplify: iters left: 4 (31 enodes) 1537433124.578 * * [misc]simplify: iters left: 3 (32 enodes) 1537433124.589 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))) 1537433124.589 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))))) 1537433124.589 * * * * [misc]progress: [ 66 / 148 ] simplifiying candidate # 1537433124.590 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (sqrt (sqrt k))) 1537433124.591 * * [misc]simplify: iters left: 6 (15 enodes) 1537433124.597 * * [misc]simplify: iters left: 5 (26 enodes) 1537433124.608 * * [misc]simplify: iters left: 4 (45 enodes) 1537433124.630 * * [misc]simplify: iters left: 3 (89 enodes) 1537433124.659 * * [misc]simplify: iters left: 2 (196 enodes) 1537433124.696 * * [misc]simplify: iters left: 1 (301 enodes) 1537433124.781 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) 1537433124.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537433124.781 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433124.782 * * [misc]simplify: iters left: 6 (15 enodes) 1537433124.785 * * [misc]simplify: iters left: 5 (22 enodes) 1537433124.789 * * [misc]simplify: iters left: 4 (31 enodes) 1537433124.794 * * [misc]simplify: iters left: 3 (32 enodes) 1537433124.804 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))) 1537433124.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))))) 1537433124.804 * * * * [misc]progress: [ 67 / 148 ] simplifiying candidate # 1537433124.804 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) 1) 1537433124.805 * * [misc]simplify: iters left: 6 (12 enodes) 1537433124.811 * * [misc]simplify: iters left: 5 (21 enodes) 1537433124.820 * * [misc]simplify: iters left: 4 (29 enodes) 1537433124.831 * * [misc]simplify: iters left: 3 (43 enodes) 1537433124.846 * * [misc]simplify: iters left: 2 (72 enodes) 1537433124.868 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537433124.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433124.869 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433124.870 * * [misc]simplify: iters left: 6 (14 enodes) 1537433124.876 * * [misc]simplify: iters left: 5 (21 enodes) 1537433124.884 * * [misc]simplify: iters left: 4 (30 enodes) 1537433124.892 * * [misc]simplify: iters left: 3 (32 enodes) 1537433124.903 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537433124.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537433124.903 * * * * [misc]progress: [ 68 / 148 ] simplifiying candidate # 1537433124.904 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433124.905 * * [misc]simplify: iters left: 6 (16 enodes) 1537433124.912 * * [misc]simplify: iters left: 5 (25 enodes) 1537433124.921 * * [misc]simplify: iters left: 4 (37 enodes) 1537433124.934 * * [misc]simplify: iters left: 3 (44 enodes) 1537433124.945 * * [misc]simplify: iters left: 2 (45 enodes) 1537433124.962 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537433124.962 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537433124.962 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537433124.964 * * [misc]simplify: iters left: 6 (15 enodes) 1537433124.969 * * [misc]simplify: iters left: 5 (22 enodes) 1537433124.978 * * [misc]simplify: iters left: 4 (31 enodes) 1537433124.987 * * [misc]simplify: iters left: 3 (32 enodes) 1537433124.997 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))) 1537433124.998 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))))) 1537433124.998 * * * * [misc]progress: [ 69 / 148 ] simplifiying candidate # 1537433124.998 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (sqrt (sqrt k))) 1537433124.999 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.005 * * [misc]simplify: iters left: 5 (22 enodes) 1537433125.013 * * [misc]simplify: iters left: 4 (31 enodes) 1537433125.022 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.033 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) 1537433125.033 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537433125.033 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537433125.035 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.041 * * [misc]simplify: iters left: 5 (22 enodes) 1537433125.049 * * [misc]simplify: iters left: 4 (31 enodes) 1537433125.058 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.069 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))) 1537433125.069 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))))) 1537433125.069 * * * * [misc]progress: [ 70 / 148 ] simplifiying candidate # 1537433125.069 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) 1) 1537433125.071 * * [misc]simplify: iters left: 6 (14 enodes) 1537433125.076 * * [misc]simplify: iters left: 5 (23 enodes) 1537433125.087 * * [misc]simplify: iters left: 4 (32 enodes) 1537433125.097 * * [misc]simplify: iters left: 3 (37 enodes) 1537433125.105 * * [misc]simplify: iters left: 2 (38 enodes) 1537433125.111 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) 1537433125.111 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537433125.111 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k)) 1537433125.112 * * [misc]simplify: iters left: 6 (14 enodes) 1537433125.114 * * [misc]simplify: iters left: 5 (21 enodes) 1537433125.118 * * [misc]simplify: iters left: 4 (30 enodes) 1537433125.123 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.128 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))) 1537433125.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2)))))) 1537433125.128 * * * * [misc]progress: [ 71 / 148 ] simplifiying candidate # 1537433125.128 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433125.129 * * [misc]simplify: iters left: 6 (18 enodes) 1537433125.133 * * [misc]simplify: iters left: 5 (29 enodes) 1537433125.139 * * [misc]simplify: iters left: 4 (45 enodes) 1537433125.148 * * [misc]simplify: iters left: 3 (60 enodes) 1537433125.158 * * [misc]simplify: iters left: 2 (72 enodes) 1537433125.169 * * [misc]simplify: iters left: 1 (75 enodes) 1537433125.193 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537433125.193 * [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))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433125.193 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433125.195 * * [misc]simplify: iters left: 6 (16 enodes) 1537433125.201 * * [misc]simplify: iters left: 5 (23 enodes) 1537433125.209 * * [misc]simplify: iters left: 4 (32 enodes) 1537433125.218 * * [misc]simplify: iters left: 3 (33 enodes) 1537433125.230 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.230 * [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 (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433125.230 * * * * [misc]progress: [ 72 / 148 ] simplifiying candidate # 1537433125.231 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537433125.232 * * [misc]simplify: iters left: 6 (17 enodes) 1537433125.239 * * [misc]simplify: iters left: 5 (26 enodes) 1537433125.249 * * [misc]simplify: iters left: 4 (37 enodes) 1537433125.261 * * [misc]simplify: iters left: 3 (42 enodes) 1537433125.273 * * [misc]simplify: iters left: 2 (48 enodes) 1537433125.293 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k)))) 1537433125.294 * [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 k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433125.294 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433125.295 * * [misc]simplify: iters left: 6 (16 enodes) 1537433125.302 * * [misc]simplify: iters left: 5 (23 enodes) 1537433125.310 * * [misc]simplify: iters left: 4 (32 enodes) 1537433125.317 * * [misc]simplify: iters left: 3 (33 enodes) 1537433125.323 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.323 * [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))) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433125.323 * * * * [misc]progress: [ 73 / 148 ] simplifiying candidate # 1537433125.324 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537433125.324 * * [misc]simplify: iters left: 6 (16 enodes) 1537433125.328 * * [misc]simplify: iters left: 5 (27 enodes) 1537433125.333 * * [misc]simplify: iters left: 4 (38 enodes) 1537433125.339 * * [misc]simplify: iters left: 3 (44 enodes) 1537433125.344 * * [misc]simplify: iters left: 2 (49 enodes) 1537433125.351 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.351 * [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 (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433125.351 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433125.352 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.355 * * [misc]simplify: iters left: 5 (22 enodes) 1537433125.359 * * [misc]simplify: iters left: 4 (31 enodes) 1537433125.363 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.369 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537433125.369 * [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)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537433125.369 * * * * [misc]progress: [ 74 / 148 ] simplifiying candidate # 1537433125.370 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433125.373 * * [misc]simplify: iters left: 6 (17 enodes) 1537433125.376 * * [misc]simplify: iters left: 5 (26 enodes) 1537433125.381 * * [misc]simplify: iters left: 4 (38 enodes) 1537433125.387 * * [misc]simplify: iters left: 3 (44 enodes) 1537433125.393 * * [misc]simplify: iters left: 2 (45 enodes) 1537433125.401 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) 1537433125.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433125.401 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433125.402 * * [misc]simplify: iters left: 6 (16 enodes) 1537433125.405 * * [misc]simplify: iters left: 5 (23 enodes) 1537433125.409 * * [misc]simplify: iters left: 4 (32 enodes) 1537433125.414 * * [misc]simplify: iters left: 3 (33 enodes) 1537433125.420 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433125.420 * * * * [misc]progress: [ 75 / 148 ] simplifiying candidate # 1537433125.420 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433125.421 * * [misc]simplify: iters left: 6 (16 enodes) 1537433125.424 * * [misc]simplify: iters left: 5 (23 enodes) 1537433125.428 * * [misc]simplify: iters left: 4 (32 enodes) 1537433125.433 * * [misc]simplify: iters left: 3 (33 enodes) 1537433125.440 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433125.440 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433125.441 * * [misc]simplify: iters left: 6 (16 enodes) 1537433125.444 * * [misc]simplify: iters left: 5 (23 enodes) 1537433125.449 * * [misc]simplify: iters left: 4 (32 enodes) 1537433125.459 * * [misc]simplify: iters left: 3 (33 enodes) 1537433125.471 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433125.471 * * * * [misc]progress: [ 76 / 148 ] simplifiying candidate # 1537433125.471 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537433125.472 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.479 * * [misc]simplify: iters left: 5 (24 enodes) 1537433125.486 * * [misc]simplify: iters left: 4 (33 enodes) 1537433125.497 * * [misc]simplify: iters left: 3 (39 enodes) 1537433125.505 * * [misc]simplify: iters left: 2 (40 enodes) 1537433125.515 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.515 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433125.515 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433125.517 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.522 * * [misc]simplify: iters left: 5 (22 enodes) 1537433125.530 * * [misc]simplify: iters left: 4 (31 enodes) 1537433125.539 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.550 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537433125.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))))) 1537433125.550 * * * * [misc]progress: [ 77 / 148 ] simplifiying candidate # 1537433125.551 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433125.552 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.561 * * [misc]simplify: iters left: 5 (26 enodes) 1537433125.571 * * [misc]simplify: iters left: 4 (40 enodes) 1537433125.583 * * [misc]simplify: iters left: 3 (50 enodes) 1537433125.597 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433125.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537433125.598 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433125.599 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.604 * * [misc]simplify: iters left: 5 (22 enodes) 1537433125.613 * * [misc]simplify: iters left: 4 (31 enodes) 1537433125.622 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.633 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))) 1537433125.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k)))))) 1537433125.633 * * * * [misc]progress: [ 78 / 148 ] simplifiying candidate # 1537433125.634 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (sqrt (sqrt k))) 1537433125.635 * * [misc]simplify: iters left: 6 (14 enodes) 1537433125.640 * * [misc]simplify: iters left: 5 (23 enodes) 1537433125.649 * * [misc]simplify: iters left: 4 (34 enodes) 1537433125.658 * * [misc]simplify: iters left: 3 (35 enodes) 1537433125.668 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) 1537433125.668 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537433125.668 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433125.670 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.676 * * [misc]simplify: iters left: 5 (22 enodes) 1537433125.684 * * [misc]simplify: iters left: 4 (31 enodes) 1537433125.693 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.705 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))) 1537433125.705 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k)))))) 1537433125.705 * * * * [misc]progress: [ 79 / 148 ] simplifiying candidate # 1537433125.706 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) 1) 1537433125.706 * * [misc]simplify: iters left: 6 (11 enodes) 1537433125.709 * * [misc]simplify: iters left: 5 (18 enodes) 1537433125.711 * * [misc]simplify: iters left: 4 (24 enodes) 1537433125.715 * * [misc]simplify: iters left: 3 (26 enodes) 1537433125.719 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537433125.719 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433125.719 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433125.720 * * [misc]simplify: iters left: 6 (14 enodes) 1537433125.723 * * [misc]simplify: iters left: 5 (21 enodes) 1537433125.726 * * [misc]simplify: iters left: 4 (30 enodes) 1537433125.731 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.736 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537433125.736 * * * * [misc]progress: [ 80 / 148 ] simplifiying candidate # 1537433125.737 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433125.737 * * [misc]simplify: iters left: 6 (11 enodes) 1537433125.740 * * [misc]simplify: iters left: 5 (17 enodes) 1537433125.743 * * [misc]simplify: iters left: 4 (23 enodes) 1537433125.746 * * [misc]simplify: iters left: 3 (28 enodes) 1537433125.753 * * [misc]simplify: iters left: 2 (29 enodes) 1537433125.763 * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433125.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))))) 1537433125.764 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k))) 1537433125.765 * * [misc]simplify: iters left: 6 (14 enodes) 1537433125.771 * * [misc]simplify: iters left: 5 (21 enodes) 1537433125.780 * * [misc]simplify: iters left: 4 (30 enodes) 1537433125.789 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.799 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))) 1537433125.799 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k)))))) 1537433125.799 * * * * [misc]progress: [ 81 / 148 ] simplifiying candidate # 1537433125.799 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) 1537433125.800 * * [misc]simplify: iters left: 6 (10 enodes) 1537433125.802 * * [misc]simplify: iters left: 5 (14 enodes) 1537433125.804 * * [misc]simplify: iters left: 4 (17 enodes) 1537433125.807 * [exit]simplify: Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) 1537433125.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))))) 1537433125.807 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) 1537433125.808 * * [misc]simplify: iters left: 6 (14 enodes) 1537433125.811 * * [misc]simplify: iters left: 5 (21 enodes) 1537433125.815 * * [misc]simplify: iters left: 4 (30 enodes) 1537433125.819 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.825 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))) 1537433125.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k)))))) 1537433125.825 * * * * [misc]progress: [ 82 / 148 ] simplifiying candidate # 1537433125.825 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (/ k 2))) 1) 1537433125.825 * * [misc]simplify: iters left: 6 (8 enodes) 1537433125.827 * * [misc]simplify: iters left: 5 (12 enodes) 1537433125.830 * * [misc]simplify: iters left: 4 (15 enodes) 1537433125.832 * * [misc]simplify: iters left: 3 (18 enodes) 1537433125.834 * [exit]simplify: Simplified to (/ 1 (pow PI (/ k 2))) 1537433125.834 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (pow PI (/ k 2))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1537433125.834 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)) 1537433125.835 * * [misc]simplify: iters left: 6 (13 enodes) 1537433125.838 * * [misc]simplify: iters left: 5 (20 enodes) 1537433125.841 * * [misc]simplify: iters left: 4 (29 enodes) 1537433125.846 * * [misc]simplify: iters left: 3 (31 enodes) 1537433125.856 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 n) (/ k 2)))) 1537433125.856 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (pow PI (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 n) (/ k 2)))))) 1537433125.856 * * * * [misc]progress: [ 83 / 148 ] simplifiying candidate # 1537433125.856 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433125.858 * * [misc]simplify: iters left: 6 (16 enodes) 1537433125.865 * * [misc]simplify: iters left: 5 (28 enodes) 1537433125.877 * * [misc]simplify: iters left: 4 (44 enodes) 1537433125.895 * * [misc]simplify: iters left: 3 (59 enodes) 1537433125.913 * * [misc]simplify: iters left: 2 (71 enodes) 1537433125.932 * * [misc]simplify: iters left: 1 (74 enodes) 1537433125.944 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) 1537433125.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433125.944 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433125.945 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.948 * * [misc]simplify: iters left: 5 (22 enodes) 1537433125.953 * * [misc]simplify: iters left: 4 (31 enodes) 1537433125.957 * * [misc]simplify: iters left: 3 (32 enodes) 1537433125.963 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433125.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433125.963 * * * * [misc]progress: [ 84 / 148 ] simplifiying candidate # 1537433125.963 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537433125.964 * * [misc]simplify: iters left: 6 (15 enodes) 1537433125.967 * * [misc]simplify: iters left: 5 (25 enodes) 1537433125.976 * * [misc]simplify: iters left: 4 (36 enodes) 1537433125.987 * * [misc]simplify: iters left: 3 (40 enodes) 1537433125.992 * * [misc]simplify: iters left: 2 (46 enodes) 1537433126.001 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) 1537433126.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433126.001 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433126.002 * * [misc]simplify: iters left: 6 (15 enodes) 1537433126.005 * * [misc]simplify: iters left: 5 (22 enodes) 1537433126.009 * * [misc]simplify: iters left: 4 (31 enodes) 1537433126.013 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.019 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433126.019 * * * * [misc]progress: [ 85 / 148 ] simplifiying candidate # 1537433126.019 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) 1537433126.020 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.023 * * [misc]simplify: iters left: 5 (23 enodes) 1537433126.028 * * [misc]simplify: iters left: 4 (34 enodes) 1537433126.033 * * [misc]simplify: iters left: 3 (39 enodes) 1537433126.038 * * [misc]simplify: iters left: 2 (40 enodes) 1537433126.043 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) 1537433126.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433126.043 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433126.044 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.046 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.050 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.057 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.062 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.062 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433126.062 * * * * [misc]progress: [ 86 / 148 ] simplifiying candidate # 1537433126.062 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433126.063 * * [misc]simplify: iters left: 6 (15 enodes) 1537433126.069 * * [misc]simplify: iters left: 5 (25 enodes) 1537433126.078 * * [misc]simplify: iters left: 4 (37 enodes) 1537433126.090 * * [misc]simplify: iters left: 3 (43 enodes) 1537433126.102 * * [misc]simplify: iters left: 2 (44 enodes) 1537433126.114 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ k 2)))) 1537433126.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))))) 1537433126.114 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433126.115 * * [misc]simplify: iters left: 6 (15 enodes) 1537433126.118 * * [misc]simplify: iters left: 5 (22 enodes) 1537433126.122 * * [misc]simplify: iters left: 4 (31 enodes) 1537433126.126 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.132 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.132 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433126.132 * * * * [misc]progress: [ 87 / 148 ] simplifiying candidate # 1537433126.132 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433126.133 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.135 * * [misc]simplify: iters left: 5 (22 enodes) 1537433126.140 * * [misc]simplify: iters left: 4 (31 enodes) 1537433126.144 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.151 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) 1537433126.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))))) 1537433126.151 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433126.152 * * [misc]simplify: iters left: 6 (15 enodes) 1537433126.158 * * [misc]simplify: iters left: 5 (22 enodes) 1537433126.163 * * [misc]simplify: iters left: 4 (31 enodes) 1537433126.167 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.172 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433126.172 * * * * [misc]progress: [ 88 / 148 ] simplifiying candidate # 1537433126.173 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1537433126.173 * * [misc]simplify: iters left: 6 (12 enodes) 1537433126.176 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.180 * * [misc]simplify: iters left: 4 (29 enodes) 1537433126.185 * * [misc]simplify: iters left: 3 (33 enodes) 1537433126.191 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) 1537433126.191 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)))) 1537433126.191 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433126.192 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.198 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.206 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.215 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.226 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.226 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433126.226 * * * * [misc]progress: [ 89 / 148 ] simplifiying candidate # 1537433126.226 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433126.227 * * [misc]simplify: iters left: 6 (7 enodes) 1537433126.230 * * [misc]simplify: iters left: 5 (11 enodes) 1537433126.233 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433126.233 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537433126.233 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433126.235 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.240 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.248 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.259 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.270 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537433126.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537433126.270 * * * * [misc]progress: [ 90 / 148 ] simplifiying candidate # 1537433126.270 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt k))) 1537433126.271 * * [misc]simplify: iters left: 4 (6 enodes) 1537433126.273 * * [misc]simplify: iters left: 3 (8 enodes) 1537433126.275 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537433126.275 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537433126.276 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433126.277 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.283 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.291 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.298 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.303 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537433126.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537433126.303 * * * * [misc]progress: [ 91 / 148 ] simplifiying candidate # 1537433126.303 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1537433126.304 * * [misc]simplify: iters left: 4 (3 enodes) 1537433126.304 * * [misc]simplify: iters left: 3 (5 enodes) 1537433126.305 * [exit]simplify: Simplified to 1 1537433126.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433126.305 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433126.306 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.308 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.312 * * [misc]simplify: iters left: 4 (29 enodes) 1537433126.316 * * [misc]simplify: iters left: 3 (31 enodes) 1537433126.322 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537433126.322 * * * * [misc]progress: [ 92 / 148 ] simplifiying candidate # 1537433126.322 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433126.323 * * [misc]simplify: iters left: 6 (6 enodes) 1537433126.324 * * [misc]simplify: iters left: 5 (10 enodes) 1537433126.326 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537433126.326 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537433126.326 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433126.326 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.331 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.337 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.342 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.349 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537433126.349 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537433126.349 * * * * [misc]progress: [ 93 / 148 ] simplifiying candidate # 1537433126.349 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537433126.350 * * [misc]simplify: iters left: 4 (5 enodes) 1537433126.350 * * [misc]simplify: iters left: 3 (7 enodes) 1537433126.351 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537433126.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537433126.352 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433126.352 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.355 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.359 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.363 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.369 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))) 1537433126.369 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2))))) 1537433126.369 * * * * [misc]progress: [ 94 / 148 ] simplifiying candidate # 1537433126.369 * [enter]simplify: Simplifying (/ 1 1) 1537433126.369 * * [misc]simplify: iters left: 2 (2 enodes) 1537433126.370 * * [misc]simplify: iters left: 1 (4 enodes) 1537433126.370 * [exit]simplify: Simplified to 1 1537433126.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433126.370 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433126.371 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.374 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.377 * * [misc]simplify: iters left: 4 (29 enodes) 1537433126.382 * * [misc]simplify: iters left: 3 (31 enodes) 1537433126.387 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2)))))) 1537433126.387 * * * * [misc]progress: [ 95 / 148 ] simplifiying candidate # 1537433126.387 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433126.388 * * [misc]simplify: iters left: 6 (12 enodes) 1537433126.393 * * [misc]simplify: iters left: 5 (19 enodes) 1537433126.400 * * [misc]simplify: iters left: 4 (25 enodes) 1537433126.407 * * [misc]simplify: iters left: 3 (26 enodes) 1537433126.416 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433126.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))))) 1537433126.416 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433126.417 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.422 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.429 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.437 * * [misc]simplify: iters left: 3 (31 enodes) 1537433126.450 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433126.450 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537433126.450 * * * * [misc]progress: [ 96 / 148 ] simplifiying candidate # 1537433126.450 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537433126.451 * * [misc]simplify: iters left: 6 (11 enodes) 1537433126.455 * * [misc]simplify: iters left: 5 (16 enodes) 1537433126.461 * * [misc]simplify: iters left: 4 (22 enodes) 1537433126.468 * * [misc]simplify: iters left: 3 (24 enodes) 1537433126.475 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537433126.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))) 1537433126.476 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433126.477 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.482 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.487 * * [misc]simplify: iters left: 4 (30 enodes) 1537433126.491 * * [misc]simplify: iters left: 3 (31 enodes) 1537433126.496 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433126.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537433126.496 * * * * [misc]progress: [ 97 / 148 ] simplifiying candidate # 1537433126.496 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537433126.497 * * [misc]simplify: iters left: 6 (9 enodes) 1537433126.499 * * [misc]simplify: iters left: 5 (16 enodes) 1537433126.503 * * [misc]simplify: iters left: 4 (24 enodes) 1537433126.506 * * [misc]simplify: iters left: 3 (26 enodes) 1537433126.509 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537433126.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433126.509 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433126.510 * * [misc]simplify: iters left: 6 (12 enodes) 1537433126.512 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.516 * * [misc]simplify: iters left: 4 (29 enodes) 1537433126.520 * * [misc]simplify: iters left: 3 (30 enodes) 1537433126.525 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537433126.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537433126.526 * * * * [misc]progress: [ 98 / 148 ] simplifiying candidate # 1537433126.526 * * * * [misc]progress: [ 99 / 148 ] simplifiying candidate # 1537433126.526 * * * * [misc]progress: [ 100 / 148 ] simplifiying candidate # 1537433126.526 * * * * [misc]progress: [ 101 / 148 ] simplifiying candidate # 1537433126.526 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537433126.526 * * [misc]simplify: iters left: 2 (3 enodes) 1537433126.527 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537433126.527 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1537433126.527 * * * * [misc]progress: [ 102 / 148 ] simplifiying candidate # 1537433126.527 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537433126.527 * * [misc]simplify: iters left: 2 (3 enodes) 1537433126.528 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537433126.528 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1537433126.528 * * * * [misc]progress: [ 103 / 148 ] simplifiying candidate # 1537433126.528 * [enter]simplify: Simplifying (sqrt k) 1537433126.529 * * [misc]simplify: iters left: 1 (2 enodes) 1537433126.529 * [exit]simplify: Simplified to (sqrt k) 1537433126.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k))) 1537433126.529 * * * * [misc]progress: [ 104 / 148 ] simplifiying candidate # 1537433126.530 * [enter]simplify: Simplifying (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) 1537433126.531 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.536 * * [misc]simplify: iters left: 5 (18 enodes) 1537433126.545 * * [misc]simplify: iters left: 4 (24 enodes) 1537433126.553 * * [misc]simplify: iters left: 3 (25 enodes) 1537433126.560 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) 1537433126.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.560 * * * * [misc]progress: [ 105 / 148 ] simplifiying candidate # 1537433126.561 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) 1537433126.561 * * [misc]simplify: iters left: 6 (12 enodes) 1537433126.563 * * [misc]simplify: iters left: 5 (17 enodes) 1537433126.567 * * [misc]simplify: iters left: 4 (23 enodes) 1537433126.570 * * [misc]simplify: iters left: 3 (24 enodes) 1537433126.574 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.574 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.574 * * * * [misc]progress: [ 106 / 148 ] simplifiying candidate # 1537433126.574 * [enter]simplify: Simplifying (/ (pow PI 1/2) (pow PI (/ k 2))) 1537433126.575 * * [misc]simplify: iters left: 5 (8 enodes) 1537433126.576 * * [misc]simplify: iters left: 4 (9 enodes) 1537433126.578 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1537433126.578 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt PI) (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1537433126.578 * * * * [misc]progress: [ 107 / 148 ] simplifiying candidate # 1537433126.578 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433126.578 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.581 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.585 * * [misc]simplify: iters left: 4 (26 enodes) 1537433126.589 * * [misc]simplify: iters left: 3 (28 enodes) 1537433126.594 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) 1537433126.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.594 * * * * [misc]progress: [ 108 / 148 ] simplifiying candidate # 1537433126.594 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433126.595 * * [misc]simplify: iters left: 6 (12 enodes) 1537433126.597 * * [misc]simplify: iters left: 5 (17 enodes) 1537433126.601 * * [misc]simplify: iters left: 4 (23 enodes) 1537433126.604 * * [misc]simplify: iters left: 3 (24 enodes) 1537433126.608 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) 1537433126.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt PI) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.608 * * * * [misc]progress: [ 109 / 148 ] simplifiying candidate # 1537433126.608 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1537433126.609 * * [misc]simplify: iters left: 3 (5 enodes) 1537433126.610 * * [misc]simplify: iters left: 2 (8 enodes) 1537433126.611 * * [misc]simplify: iters left: 1 (10 enodes) 1537433126.613 * [exit]simplify: Simplified to (sqrt PI) 1537433126.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2)))))) 1537433126.613 * * * * [misc]progress: [ 110 / 148 ] simplifiying candidate # 1537433126.613 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) 1537433126.614 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.616 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.623 * * [misc]simplify: iters left: 4 (28 enodes) 1537433126.632 * * [misc]simplify: iters left: 3 (31 enodes) 1537433126.643 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) 1537433126.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2)))))) 1537433126.644 * * * * [misc]progress: [ 111 / 148 ] simplifiying candidate # 1537433126.644 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433126.645 * * [misc]simplify: iters left: 6 (15 enodes) 1537433126.652 * * [misc]simplify: iters left: 5 (26 enodes) 1537433126.663 * * [misc]simplify: iters left: 4 (41 enodes) 1537433126.676 * * [misc]simplify: iters left: 3 (45 enodes) 1537433126.688 * * [misc]simplify: iters left: 2 (48 enodes) 1537433126.706 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2))))) 1537433126.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.706 * * * * [misc]progress: [ 112 / 148 ] simplifiying candidate # 1537433126.707 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433126.708 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.717 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.724 * * [misc]simplify: iters left: 4 (29 enodes) 1537433126.733 * * [misc]simplify: iters left: 3 (32 enodes) 1537433126.744 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.744 * * * * [misc]progress: [ 113 / 148 ] simplifiying candidate # 1537433126.745 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) 1537433126.746 * * [misc]simplify: iters left: 6 (11 enodes) 1537433126.750 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.760 * * [misc]simplify: iters left: 4 (32 enodes) 1537433126.771 * * [misc]simplify: iters left: 3 (48 enodes) 1537433126.780 * * [misc]simplify: iters left: 2 (74 enodes) 1537433126.790 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537433126.790 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2)))))) 1537433126.790 * * * * [misc]progress: [ 114 / 148 ] simplifiying candidate # 1537433126.790 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) 1537433126.791 * * [misc]simplify: iters left: 6 (12 enodes) 1537433126.793 * * [misc]simplify: iters left: 5 (17 enodes) 1537433126.796 * * [misc]simplify: iters left: 4 (23 enodes) 1537433126.800 * * [misc]simplify: iters left: 3 (24 enodes) 1537433126.803 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) 1537433126.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2)))))) 1537433126.803 * * * * [misc]progress: [ 115 / 148 ] simplifiying candidate # 1537433126.804 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433126.805 * * [misc]simplify: iters left: 6 (14 enodes) 1537433126.810 * * [misc]simplify: iters left: 5 (21 enodes) 1537433126.818 * * [misc]simplify: iters left: 4 (27 enodes) 1537433126.825 * * [misc]simplify: iters left: 3 (29 enodes) 1537433126.830 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.830 * [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 k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.830 * * * * [misc]progress: [ 116 / 148 ] simplifiying candidate # 1537433126.831 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433126.831 * * [misc]simplify: iters left: 6 (13 enodes) 1537433126.834 * * [misc]simplify: iters left: 5 (18 enodes) 1537433126.837 * * [misc]simplify: iters left: 4 (24 enodes) 1537433126.840 * * [misc]simplify: iters left: 3 (25 enodes) 1537433126.846 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433126.846 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.846 * * * * [misc]progress: [ 117 / 148 ] simplifiying candidate # 1537433126.846 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) 1537433126.846 * * [misc]simplify: iters left: 6 (10 enodes) 1537433126.849 * * [misc]simplify: iters left: 5 (17 enodes) 1537433126.852 * * [misc]simplify: iters left: 4 (25 enodes) 1537433126.855 * * [misc]simplify: iters left: 3 (26 enodes) 1537433126.859 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537433126.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2)))))) 1537433126.859 * * * * [misc]progress: [ 118 / 148 ] simplifiying candidate # 1537433126.859 * [enter]simplify: Simplifying (/ 1 (pow PI (/ k 2))) 1537433126.859 * * [misc]simplify: iters left: 5 (7 enodes) 1537433126.860 * * [misc]simplify: iters left: 4 (9 enodes) 1537433126.862 * [exit]simplify: Simplified to (/ 1 (pow PI (/ k 2))) 1537433126.862 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2)))))) 1537433126.862 * * * * [misc]progress: [ 119 / 148 ] simplifiying candidate # 1537433126.862 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433126.863 * * [misc]simplify: iters left: 6 (12 enodes) 1537433126.865 * * [misc]simplify: iters left: 5 (20 enodes) 1537433126.869 * * [misc]simplify: iters left: 4 (26 enodes) 1537433126.872 * * [misc]simplify: iters left: 3 (27 enodes) 1537433126.877 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2)))) 1537433126.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.877 * * * * [misc]progress: [ 120 / 148 ] simplifiying candidate # 1537433126.877 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433126.877 * * [misc]simplify: iters left: 6 (11 enodes) 1537433126.880 * * [misc]simplify: iters left: 5 (17 enodes) 1537433126.883 * * [misc]simplify: iters left: 4 (23 enodes) 1537433126.889 * * [misc]simplify: iters left: 3 (24 enodes) 1537433126.896 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2)))) 1537433126.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433126.897 * * * * [misc]progress: [ 121 / 148 ] simplifiying candidate # 1537433126.897 * [enter]simplify: Simplifying (/ 1 1) 1537433126.897 * * [misc]simplify: iters left: 2 (2 enodes) 1537433126.898 * * [misc]simplify: iters left: 1 (4 enodes) 1537433126.899 * [exit]simplify: Simplified to 1 1537433126.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))))) 1537433126.899 * * * * [misc]progress: [ 122 / 148 ] simplifiying candidate # 1537433126.899 * * * * [misc]progress: [ 123 / 148 ] simplifiying candidate # 1537433126.899 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537433126.900 * * [misc]simplify: iters left: 5 (7 enodes) 1537433126.903 * * [misc]simplify: iters left: 4 (12 enodes) 1537433126.907 * * [misc]simplify: iters left: 3 (18 enodes) 1537433126.913 * * [misc]simplify: iters left: 2 (20 enodes) 1537433126.919 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537433126.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (/ 1 (pow (* PI (* n 2)) (/ k 2)))))) 1537433126.919 * * * * [misc]progress: [ 124 / 148 ] simplifiying candidate # 1537433126.920 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537433126.920 * * [misc]simplify: iters left: 5 (7 enodes) 1537433126.923 * * [misc]simplify: iters left: 4 (12 enodes) 1537433126.928 * * [misc]simplify: iters left: 3 (18 enodes) 1537433126.934 * * [misc]simplify: iters left: 2 (20 enodes) 1537433126.940 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537433126.940 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1537433126.940 * * * * [misc]progress: [ 125 / 148 ] simplifiying candidate # 1537433126.940 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) 1/2) 1537433126.943 * * [misc]simplify: iters left: 6 (8 enodes) 1537433126.946 * * [misc]simplify: iters left: 5 (16 enodes) 1537433126.955 * * [misc]simplify: iters left: 4 (33 enodes) 1537433126.970 * * [misc]simplify: iters left: 3 (60 enodes) 1537433126.990 * * [misc]simplify: iters left: 2 (85 enodes) 1537433127.001 * * [misc]simplify: iters left: 1 (87 enodes) 1537433127.013 * [exit]simplify: Simplified to (* (log (* (* PI n) 2)) 1/2) 1537433127.013 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (log (* (* PI n) 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.013 * * * * [misc]progress: [ 126 / 148 ] simplifiying candidate # 1537433127.013 * * * * [misc]progress: [ 127 / 148 ] simplifiying candidate # 1537433127.013 * [enter]simplify: Simplifying (* PI (* n 2)) 1537433127.014 * * [misc]simplify: iters left: 4 (5 enodes) 1537433127.015 * * [misc]simplify: iters left: 3 (9 enodes) 1537433127.017 * * [misc]simplify: iters left: 2 (15 enodes) 1537433127.019 * * [misc]simplify: iters left: 1 (17 enodes) 1537433127.024 * [exit]simplify: Simplified to (* (* 2 n) PI) 1537433127.024 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (* 1 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.024 * * * * [misc]progress: [ 128 / 148 ] simplifiying candidate # 1537433127.025 * [enter]simplify: Simplifying (pow PI 1/2) 1537433127.025 * * [misc]simplify: iters left: 1 (3 enodes) 1537433127.026 * [exit]simplify: Simplified to (sqrt PI) 1537433127.026 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (sqrt PI) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.026 * * * * [misc]progress: [ 129 / 148 ] simplifiying candidate # 1537433127.026 * * * * [misc]progress: [ 130 / 148 ] simplifiying candidate # 1537433127.027 * * * * [misc]progress: [ 131 / 148 ] simplifiying candidate # 1537433127.027 * * * * [misc]progress: [ 132 / 148 ] simplifiying candidate # 1537433127.027 * * * * [misc]progress: [ 133 / 148 ] simplifiying candidate # 1537433127.027 * * * * [misc]progress: [ 134 / 148 ] simplifiying candidate # 1537433127.027 * * * * [misc]progress: [ 135 / 148 ] simplifiying candidate # 1537433127.027 * * * * [misc]progress: [ 136 / 148 ] simplifiying candidate # 1537433127.027 * * * * [misc]progress: [ 137 / 148 ] simplifiying candidate # 1537433127.027 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433127.028 * * [misc]simplify: iters left: 4 (5 enodes) 1537433127.030 * * [misc]simplify: iters left: 3 (9 enodes) 1537433127.034 * * [misc]simplify: iters left: 2 (15 enodes) 1537433127.038 * * [misc]simplify: iters left: 1 (17 enodes) 1537433127.044 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433127.044 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k))) 1537433127.044 * * * * [misc]progress: [ 138 / 148 ] simplifiying candidate # 1537433127.044 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433127.047 * * [misc]simplify: iters left: 4 (5 enodes) 1537433127.050 * * [misc]simplify: iters left: 3 (9 enodes) 1537433127.054 * * [misc]simplify: iters left: 2 (15 enodes) 1537433127.059 * * [misc]simplify: iters left: 1 (17 enodes) 1537433127.064 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433127.064 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k))) 1537433127.064 * * * * [misc]progress: [ 139 / 148 ] simplifiying candidate # 1537433127.064 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433127.065 * * [misc]simplify: iters left: 4 (5 enodes) 1537433127.067 * * [misc]simplify: iters left: 3 (9 enodes) 1537433127.071 * * [misc]simplify: iters left: 2 (15 enodes) 1537433127.076 * * [misc]simplify: iters left: 1 (17 enodes) 1537433127.081 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433127.081 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k))) 1537433127.081 * * * * [misc]progress: [ 140 / 148 ] simplifiying candidate # 1537433127.081 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433127.082 * * [misc]simplify: iters left: 4 (5 enodes) 1537433127.084 * * [misc]simplify: iters left: 3 (9 enodes) 1537433127.088 * * [misc]simplify: iters left: 2 (15 enodes) 1537433127.093 * * [misc]simplify: iters left: 1 (17 enodes) 1537433127.098 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433127.098 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.098 * * * * [misc]progress: [ 141 / 148 ] simplifiying candidate # 1537433127.099 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433127.099 * * [misc]simplify: iters left: 4 (5 enodes) 1537433127.102 * * [misc]simplify: iters left: 3 (9 enodes) 1537433127.105 * * [misc]simplify: iters left: 2 (15 enodes) 1537433127.110 * * [misc]simplify: iters left: 1 (17 enodes) 1537433127.115 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433127.115 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.115 * * * * [misc]progress: [ 142 / 148 ] simplifiying candidate # 1537433127.116 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433127.116 * * [misc]simplify: iters left: 4 (5 enodes) 1537433127.119 * * [misc]simplify: iters left: 3 (9 enodes) 1537433127.122 * * [misc]simplify: iters left: 2 (15 enodes) 1537433127.127 * * [misc]simplify: iters left: 1 (17 enodes) 1537433127.130 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433127.130 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.130 * * * * [misc]progress: [ 143 / 148 ] simplifiying candidate # 1537433127.130 * [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)))))))))))))) 1537433127.130 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433127.130 * * * * [misc]progress: [ 144 / 148 ] simplifiying candidate # 1537433127.130 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537433127.130 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433127.130 * * * * [misc]progress: [ 145 / 148 ] simplifiying candidate # 1537433127.131 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537433127.131 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433127.131 * * * * [misc]progress: [ 146 / 148 ] simplifiying candidate # 1537433127.131 * [enter]simplify: Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537433127.131 * * [misc]simplify: iters left: 6 (10 enodes) 1537433127.136 * * [misc]simplify: iters left: 5 (24 enodes) 1537433127.142 * * [misc]simplify: iters left: 4 (43 enodes) 1537433127.153 * * [misc]simplify: iters left: 3 (84 enodes) 1537433127.183 * * [misc]simplify: iters left: 2 (136 enodes) 1537433127.209 * * [misc]simplify: iters left: 1 (169 enodes) 1537433127.239 * [exit]simplify: Simplified to (sqrt (* (* 2 PI) n)) 1537433127.239 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.239 * * * * [misc]progress: [ 147 / 148 ] simplifiying candidate # 1537433127.240 * [enter]simplify: Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) 1537433127.241 * * [misc]simplify: iters left: 6 (12 enodes) 1537433127.245 * * [misc]simplify: iters left: 5 (27 enodes) 1537433127.251 * * [misc]simplify: iters left: 4 (39 enodes) 1537433127.269 * * [misc]simplify: iters left: 3 (71 enodes) 1537433127.305 * * [misc]simplify: iters left: 2 (149 enodes) 1537433127.389 * * [misc]simplify: iters left: 1 (361 enodes) 1537433127.755 * [exit]simplify: Simplified to (sqrt (* PI (* n 2))) 1537433127.755 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.755 * * * * [misc]progress: [ 148 / 148 ] simplifiying candidate # 1537433127.755 * [enter]simplify: Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) 1537433127.756 * * [misc]simplify: iters left: 6 (12 enodes) 1537433127.764 * * [misc]simplify: iters left: 5 (24 enodes) 1537433127.774 * * [misc]simplify: iters left: 4 (40 enodes) 1537433127.793 * * [misc]simplify: iters left: 3 (87 enodes) 1537433127.843 * * [misc]simplify: iters left: 2 (232 enodes) 1537433127.993 * [exit]simplify: Simplified to (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2)) 1537433127.993 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433127.993 * * * [misc]progress: adding candidates to table 1537433131.354 * * [misc]progress: iteration 3 / 4 1537433131.354 * * * [misc]progress: picking best candidate 1537433131.488 * * * * [misc]pick: Picked # 1537433131.489 * * * [misc]progress: localizing error 1537433131.529 * * * [misc]progress: generating rewritten candidates 1537433131.529 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1537433131.550 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1537433131.569 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1537433131.683 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1537433131.748 * * * [misc]progress: generating series expansions 1537433131.748 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 1) 1537433131.748 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537433131.748 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433131.748 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433131.748 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.748 * [misc]backup-simplify: Simplify 2 into 2 1537433131.748 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.748 * [misc]taylor: Taking taylor expansion of n in n 1537433131.748 * [misc]backup-simplify: Simplify 0 into 0 1537433131.748 * [misc]backup-simplify: Simplify 1 into 1 1537433131.748 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.748 * [misc]backup-simplify: Simplify PI into PI 1537433131.748 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433131.748 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.748 * [misc]backup-simplify: Simplify 2 into 2 1537433131.748 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.748 * [misc]taylor: Taking taylor expansion of n in n 1537433131.748 * [misc]backup-simplify: Simplify 0 into 0 1537433131.748 * [misc]backup-simplify: Simplify 1 into 1 1537433131.748 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.748 * [misc]backup-simplify: Simplify PI into PI 1537433131.749 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433131.749 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433131.749 * [misc]backup-simplify: Simplify 0 into 0 1537433131.750 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433131.750 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433131.750 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.751 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433131.752 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433131.752 * [misc]backup-simplify: Simplify 0 into 0 1537433131.754 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433131.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433131.756 * [misc]backup-simplify: Simplify 0 into 0 1537433131.758 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433131.761 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433131.761 * [misc]backup-simplify: Simplify 0 into 0 1537433131.764 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433131.767 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433131.767 * [misc]backup-simplify: Simplify 0 into 0 1537433131.770 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433131.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433131.774 * [misc]backup-simplify: Simplify 0 into 0 1537433131.779 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433131.783 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433131.783 * [misc]backup-simplify: Simplify 0 into 0 1537433131.784 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433131.784 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537433131.784 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433131.784 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433131.784 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.784 * [misc]backup-simplify: Simplify 2 into 2 1537433131.784 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.784 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.784 * [misc]backup-simplify: Simplify PI into PI 1537433131.784 * [misc]taylor: Taking taylor expansion of n in n 1537433131.784 * [misc]backup-simplify: Simplify 0 into 0 1537433131.784 * [misc]backup-simplify: Simplify 1 into 1 1537433131.785 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.785 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433131.785 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.785 * [misc]backup-simplify: Simplify 2 into 2 1537433131.785 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.785 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.785 * [misc]backup-simplify: Simplify PI into PI 1537433131.785 * [misc]taylor: Taking taylor expansion of n in n 1537433131.785 * [misc]backup-simplify: Simplify 0 into 0 1537433131.785 * [misc]backup-simplify: Simplify 1 into 1 1537433131.785 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.786 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.786 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.787 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433131.788 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433131.788 * [misc]backup-simplify: Simplify 0 into 0 1537433131.790 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.791 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433131.791 * [misc]backup-simplify: Simplify 0 into 0 1537433131.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.794 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433131.794 * [misc]backup-simplify: Simplify 0 into 0 1537433131.796 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433131.798 * [misc]backup-simplify: Simplify 0 into 0 1537433131.801 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.803 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433131.804 * [misc]backup-simplify: Simplify 0 into 0 1537433131.806 * [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 1537433131.810 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433131.810 * [misc]backup-simplify: Simplify 0 into 0 1537433131.810 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433131.811 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537433131.811 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433131.811 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433131.811 * [misc]taylor: Taking taylor expansion of -2 in n 1537433131.811 * [misc]backup-simplify: Simplify -2 into -2 1537433131.811 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.811 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.811 * [misc]backup-simplify: Simplify PI into PI 1537433131.811 * [misc]taylor: Taking taylor expansion of n in n 1537433131.811 * [misc]backup-simplify: Simplify 0 into 0 1537433131.811 * [misc]backup-simplify: Simplify 1 into 1 1537433131.811 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.812 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433131.812 * [misc]taylor: Taking taylor expansion of -2 in n 1537433131.812 * [misc]backup-simplify: Simplify -2 into -2 1537433131.812 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.812 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.812 * [misc]backup-simplify: Simplify PI into PI 1537433131.812 * [misc]taylor: Taking taylor expansion of n in n 1537433131.812 * [misc]backup-simplify: Simplify 0 into 0 1537433131.812 * [misc]backup-simplify: Simplify 1 into 1 1537433131.812 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.812 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433131.813 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433131.814 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433131.815 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433131.815 * [misc]backup-simplify: Simplify 0 into 0 1537433131.816 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.817 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433131.817 * [misc]backup-simplify: Simplify 0 into 0 1537433131.819 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.820 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433131.820 * [misc]backup-simplify: Simplify 0 into 0 1537433131.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.823 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433131.823 * [misc]backup-simplify: Simplify 0 into 0 1537433131.828 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.829 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433131.829 * [misc]backup-simplify: Simplify 0 into 0 1537433131.831 * [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 1537433131.833 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433131.833 * [misc]backup-simplify: Simplify 0 into 0 1537433131.833 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433131.833 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1537433131.834 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1537433131.834 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433131.834 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433131.834 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.834 * [misc]backup-simplify: Simplify 2 into 2 1537433131.834 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.834 * [misc]taylor: Taking taylor expansion of n in n 1537433131.834 * [misc]backup-simplify: Simplify 0 into 0 1537433131.834 * [misc]backup-simplify: Simplify 1 into 1 1537433131.834 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.834 * [misc]backup-simplify: Simplify PI into PI 1537433131.834 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433131.834 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.834 * [misc]backup-simplify: Simplify 2 into 2 1537433131.834 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.834 * [misc]taylor: Taking taylor expansion of n in n 1537433131.834 * [misc]backup-simplify: Simplify 0 into 0 1537433131.834 * [misc]backup-simplify: Simplify 1 into 1 1537433131.834 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.834 * [misc]backup-simplify: Simplify PI into PI 1537433131.834 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433131.835 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433131.835 * [misc]backup-simplify: Simplify 0 into 0 1537433131.835 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433131.835 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433131.836 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433131.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433131.837 * [misc]backup-simplify: Simplify 0 into 0 1537433131.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433131.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433131.839 * [misc]backup-simplify: Simplify 0 into 0 1537433131.840 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433131.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433131.842 * [misc]backup-simplify: Simplify 0 into 0 1537433131.843 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433131.845 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433131.845 * [misc]backup-simplify: Simplify 0 into 0 1537433131.847 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433131.849 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433131.849 * [misc]backup-simplify: Simplify 0 into 0 1537433131.852 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433131.857 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433131.857 * [misc]backup-simplify: Simplify 0 into 0 1537433131.857 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433131.858 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1537433131.858 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433131.858 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433131.858 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.858 * [misc]backup-simplify: Simplify 2 into 2 1537433131.858 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.858 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.858 * [misc]backup-simplify: Simplify PI into PI 1537433131.858 * [misc]taylor: Taking taylor expansion of n in n 1537433131.858 * [misc]backup-simplify: Simplify 0 into 0 1537433131.858 * [misc]backup-simplify: Simplify 1 into 1 1537433131.858 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.858 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433131.858 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.858 * [misc]backup-simplify: Simplify 2 into 2 1537433131.858 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.858 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.858 * [misc]backup-simplify: Simplify PI into PI 1537433131.859 * [misc]taylor: Taking taylor expansion of n in n 1537433131.859 * [misc]backup-simplify: Simplify 0 into 0 1537433131.859 * [misc]backup-simplify: Simplify 1 into 1 1537433131.859 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.859 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.860 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433131.862 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433131.862 * [misc]backup-simplify: Simplify 0 into 0 1537433131.863 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.865 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433131.865 * [misc]backup-simplify: Simplify 0 into 0 1537433131.866 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.868 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433131.868 * [misc]backup-simplify: Simplify 0 into 0 1537433131.870 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.872 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433131.873 * [misc]backup-simplify: Simplify 0 into 0 1537433131.875 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.878 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433131.878 * [misc]backup-simplify: Simplify 0 into 0 1537433131.881 * [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 1537433131.884 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433131.884 * [misc]backup-simplify: Simplify 0 into 0 1537433131.885 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433131.885 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1537433131.885 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433131.885 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433131.885 * [misc]taylor: Taking taylor expansion of -2 in n 1537433131.885 * [misc]backup-simplify: Simplify -2 into -2 1537433131.886 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.886 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.886 * [misc]backup-simplify: Simplify PI into PI 1537433131.886 * [misc]taylor: Taking taylor expansion of n in n 1537433131.886 * [misc]backup-simplify: Simplify 0 into 0 1537433131.886 * [misc]backup-simplify: Simplify 1 into 1 1537433131.886 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.886 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433131.886 * [misc]taylor: Taking taylor expansion of -2 in n 1537433131.886 * [misc]backup-simplify: Simplify -2 into -2 1537433131.886 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433131.886 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.886 * [misc]backup-simplify: Simplify PI into PI 1537433131.886 * [misc]taylor: Taking taylor expansion of n in n 1537433131.886 * [misc]backup-simplify: Simplify 0 into 0 1537433131.886 * [misc]backup-simplify: Simplify 1 into 1 1537433131.887 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433131.887 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433131.887 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433131.888 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433131.889 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433131.889 * [misc]backup-simplify: Simplify 0 into 0 1537433131.891 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.892 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433131.892 * [misc]backup-simplify: Simplify 0 into 0 1537433131.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.895 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433131.895 * [misc]backup-simplify: Simplify 0 into 0 1537433131.897 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.900 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433131.900 * [misc]backup-simplify: Simplify 0 into 0 1537433131.902 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433131.905 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433131.905 * [misc]backup-simplify: Simplify 0 into 0 1537433131.908 * [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 1537433131.911 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433131.911 * [misc]backup-simplify: Simplify 0 into 0 1537433131.912 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433131.912 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1537433131.913 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) 1537433131.913 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1537433131.913 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1537433131.913 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1537433131.913 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433131.913 * [misc]taylor: Taking taylor expansion of 2 in k 1537433131.913 * [misc]backup-simplify: Simplify 2 into 2 1537433131.913 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433131.913 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433131.914 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537433131.914 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537433131.914 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537433131.914 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433131.914 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433131.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433131.914 * [misc]taylor: Taking taylor expansion of k in k 1537433131.914 * [misc]backup-simplify: Simplify 0 into 0 1537433131.914 * [misc]backup-simplify: Simplify 1 into 1 1537433131.914 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537433131.914 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537433131.914 * [misc]taylor: Taking taylor expansion of 2 in k 1537433131.914 * [misc]backup-simplify: Simplify 2 into 2 1537433131.914 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433131.914 * [misc]taylor: Taking taylor expansion of n in k 1537433131.914 * [misc]backup-simplify: Simplify n into n 1537433131.914 * [misc]taylor: Taking taylor expansion of PI in k 1537433131.914 * [misc]backup-simplify: Simplify PI into PI 1537433131.914 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433131.914 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537433131.915 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537433131.915 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433131.915 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537433131.916 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537433131.916 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537433131.917 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537433131.917 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537433131.918 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537433131.918 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433131.918 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537433131.918 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537433131.918 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537433131.918 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433131.918 * [misc]taylor: Taking taylor expansion of n in k 1537433131.918 * [misc]backup-simplify: Simplify n into n 1537433131.918 * [misc]taylor: Taking taylor expansion of PI in k 1537433131.918 * [misc]backup-simplify: Simplify PI into PI 1537433131.918 * [misc]taylor: Taking taylor expansion of k in k 1537433131.918 * [misc]backup-simplify: Simplify 0 into 0 1537433131.918 * [misc]backup-simplify: Simplify 1 into 1 1537433131.918 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433131.919 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537433131.919 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433131.919 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537433131.919 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537433131.919 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537433131.919 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433131.919 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.919 * [misc]backup-simplify: Simplify 2 into 2 1537433131.919 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433131.920 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433131.920 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537433131.920 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537433131.920 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537433131.920 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433131.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433131.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433131.920 * [misc]taylor: Taking taylor expansion of k in n 1537433131.920 * [misc]backup-simplify: Simplify k into k 1537433131.920 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433131.920 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433131.920 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.920 * [misc]backup-simplify: Simplify 2 into 2 1537433131.920 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.920 * [misc]taylor: Taking taylor expansion of n in n 1537433131.920 * [misc]backup-simplify: Simplify 0 into 0 1537433131.920 * [misc]backup-simplify: Simplify 1 into 1 1537433131.920 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.920 * [misc]backup-simplify: Simplify PI into PI 1537433131.921 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433131.921 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433131.921 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433131.922 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433131.923 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433131.923 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433131.924 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433131.924 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537433131.925 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537433131.926 * [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)))) 1537433131.926 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537433131.926 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537433131.926 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.926 * [misc]taylor: Taking taylor expansion of n in n 1537433131.926 * [misc]backup-simplify: Simplify 0 into 0 1537433131.926 * [misc]backup-simplify: Simplify 1 into 1 1537433131.926 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.926 * [misc]backup-simplify: Simplify PI into PI 1537433131.926 * [misc]taylor: Taking taylor expansion of k in n 1537433131.926 * [misc]backup-simplify: Simplify k into k 1537433131.926 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433131.927 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433131.927 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537433131.927 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433131.928 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537433131.928 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1537433131.928 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537433131.928 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433131.928 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.928 * [misc]backup-simplify: Simplify 2 into 2 1537433131.928 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433131.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433131.929 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537433131.929 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537433131.929 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537433131.929 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433131.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433131.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433131.929 * [misc]taylor: Taking taylor expansion of k in n 1537433131.929 * [misc]backup-simplify: Simplify k into k 1537433131.929 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433131.929 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433131.929 * [misc]taylor: Taking taylor expansion of 2 in n 1537433131.929 * [misc]backup-simplify: Simplify 2 into 2 1537433131.929 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.929 * [misc]taylor: Taking taylor expansion of n in n 1537433131.929 * [misc]backup-simplify: Simplify 0 into 0 1537433131.929 * [misc]backup-simplify: Simplify 1 into 1 1537433131.929 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.929 * [misc]backup-simplify: Simplify PI into PI 1537433131.929 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433131.930 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433131.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433131.931 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433131.931 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433131.932 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433131.932 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433131.933 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537433131.934 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537433131.934 * [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)))) 1537433131.934 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537433131.935 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537433131.935 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433131.935 * [misc]taylor: Taking taylor expansion of n in n 1537433131.935 * [misc]backup-simplify: Simplify 0 into 0 1537433131.935 * [misc]backup-simplify: Simplify 1 into 1 1537433131.935 * [misc]taylor: Taking taylor expansion of PI in n 1537433131.935 * [misc]backup-simplify: Simplify PI into PI 1537433131.935 * [misc]taylor: Taking taylor expansion of k in n 1537433131.935 * [misc]backup-simplify: Simplify k into k 1537433131.935 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433131.936 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433131.936 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537433131.936 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433131.936 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537433131.937 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1537433131.937 * [misc]taylor: Taking taylor expansion of 0 in k 1537433131.937 * [misc]backup-simplify: Simplify 0 into 0 1537433131.938 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433131.940 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433131.943 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433131.943 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537433131.944 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433131.945 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537433131.946 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433131.949 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537433131.950 * [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)))) 1537433131.950 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k 1537433131.950 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k 1537433131.950 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433131.950 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433131.950 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k 1537433131.950 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1537433131.950 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433131.950 * [misc]taylor: Taking taylor expansion of 2 in k 1537433131.950 * [misc]backup-simplify: Simplify 2 into 2 1537433131.950 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433131.950 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433131.951 * [misc]taylor: Taking taylor expansion of PI in k 1537433131.951 * [misc]backup-simplify: Simplify PI into PI 1537433131.951 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433131.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433131.951 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of n in k 1537433131.951 * [misc]backup-simplify: Simplify n into n 1537433131.951 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433131.951 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433131.951 * [misc]taylor: Taking taylor expansion of 2 in k 1537433131.951 * [misc]backup-simplify: Simplify 2 into 2 1537433131.951 * [misc]taylor: Taking taylor expansion of PI in k 1537433131.951 * [misc]backup-simplify: Simplify PI into PI 1537433131.951 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.952 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433131.952 * [misc]taylor: Taking taylor expansion of k in k 1537433131.952 * [misc]backup-simplify: Simplify 0 into 0 1537433131.952 * [misc]backup-simplify: Simplify 1 into 1 1537433131.953 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433131.953 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537433131.953 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433131.954 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537433131.955 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433131.958 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433131.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433131.959 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537433131.960 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433131.960 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433131.960 * [misc]taylor: Taking taylor expansion of k in k 1537433131.960 * [misc]backup-simplify: Simplify 0 into 0 1537433131.960 * [misc]backup-simplify: Simplify 1 into 1 1537433131.961 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537433131.961 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537433131.962 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433131.963 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1 1537433131.964 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1537433131.965 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1537433131.966 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537433131.970 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537433131.970 * [misc]backup-simplify: Simplify 0 into 0 1537433131.971 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433131.971 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1537433131.972 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1537433131.974 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433131.976 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433131.978 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433131.984 * [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 1537433131.984 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537433131.985 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433131.986 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433131.988 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433131.991 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537433131.993 * [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))))) 1537433131.994 * [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 1537433131.994 * [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 1537433131.994 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433131.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433131.994 * [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 1537433131.994 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1537433131.994 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433131.994 * [misc]taylor: Taking taylor expansion of 2 in k 1537433131.994 * [misc]backup-simplify: Simplify 2 into 2 1537433131.994 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433131.994 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433131.994 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537433131.994 * [misc]taylor: Taking taylor expansion of PI in k 1537433131.994 * [misc]backup-simplify: Simplify PI into PI 1537433131.994 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k 1537433131.994 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537433131.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537433131.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433131.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433131.995 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537433131.995 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537433131.995 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433131.995 * [misc]taylor: Taking taylor expansion of n in k 1537433131.995 * [misc]backup-simplify: Simplify n into n 1537433131.995 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433131.995 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433131.995 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433131.995 * [misc]taylor: Taking taylor expansion of 2 in k 1537433131.995 * [misc]backup-simplify: Simplify 2 into 2 1537433131.995 * [misc]taylor: Taking taylor expansion of PI in k 1537433131.995 * [misc]backup-simplify: Simplify PI into PI 1537433131.995 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433131.996 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433131.996 * [misc]taylor: Taking taylor expansion of k in k 1537433131.996 * [misc]backup-simplify: Simplify 0 into 0 1537433131.996 * [misc]backup-simplify: Simplify 1 into 1 1537433131.996 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433131.997 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537433131.997 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433131.998 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537433131.999 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433132.001 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433132.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433132.001 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537433132.002 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433132.002 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433132.002 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537433132.002 * [misc]taylor: Taking taylor expansion of k in k 1537433132.002 * [misc]backup-simplify: Simplify 0 into 0 1537433132.002 * [misc]backup-simplify: Simplify 1 into 1 1537433132.002 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433132.003 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537433132.003 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.003 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.004 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1537433132.004 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433132.005 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537433132.005 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433132.006 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433132.007 * [misc]backup-simplify: Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537433132.008 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1537433132.012 * [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))))))) 1537433132.015 * [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))))))) 1537433132.018 * [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))))))) 1537433132.018 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537433132.020 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537433132.020 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433132.024 * [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 1537433132.024 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433132.024 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1537433132.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1537433132.027 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1537433132.030 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1537433132.031 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1537433132.033 * [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)))))))) 1537433132.034 * [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)))))))) 1537433132.036 * [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)))))))) 1537433132.048 * [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)))))))))))))) 1537433132.049 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 n))) (/ (/ 1 (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) 1537433132.049 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0 1537433132.049 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k 1537433132.049 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1537433132.049 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433132.049 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.049 * [misc]backup-simplify: Simplify 2 into 2 1537433132.049 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.050 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.050 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537433132.050 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537433132.050 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537433132.050 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537433132.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.050 * [misc]taylor: Taking taylor expansion of k in k 1537433132.050 * [misc]backup-simplify: Simplify 0 into 0 1537433132.050 * [misc]backup-simplify: Simplify 1 into 1 1537433132.050 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537433132.050 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537433132.050 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537433132.050 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.050 * [misc]backup-simplify: Simplify 2 into 2 1537433132.050 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433132.050 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.050 * [misc]backup-simplify: Simplify PI into PI 1537433132.050 * [misc]taylor: Taking taylor expansion of n in k 1537433132.050 * [misc]backup-simplify: Simplify n into n 1537433132.050 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433132.051 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537433132.051 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537433132.051 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537433132.051 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537433132.052 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 1537433132.052 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537433132.052 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537433132.052 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537433132.052 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.052 * [misc]backup-simplify: Simplify PI into PI 1537433132.052 * [misc]taylor: Taking taylor expansion of k in k 1537433132.052 * [misc]backup-simplify: Simplify 0 into 0 1537433132.052 * [misc]backup-simplify: Simplify 1 into 1 1537433132.052 * [misc]taylor: Taking taylor expansion of n in k 1537433132.052 * [misc]backup-simplify: Simplify n into n 1537433132.052 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537433132.053 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537433132.053 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433132.053 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.053 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537433132.053 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.054 * [misc]backup-simplify: Simplify 2 into 2 1537433132.054 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.054 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.054 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433132.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.054 * [misc]taylor: Taking taylor expansion of k in n 1537433132.054 * [misc]backup-simplify: Simplify k into k 1537433132.054 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537433132.054 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433132.054 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.054 * [misc]backup-simplify: Simplify 2 into 2 1537433132.054 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.055 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.055 * [misc]backup-simplify: Simplify PI into PI 1537433132.055 * [misc]taylor: Taking taylor expansion of n in n 1537433132.055 * [misc]backup-simplify: Simplify 0 into 0 1537433132.055 * [misc]backup-simplify: Simplify 1 into 1 1537433132.055 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.055 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.056 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.057 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.057 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433132.058 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.059 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.059 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537433132.059 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537433132.059 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537433132.059 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.059 * [misc]backup-simplify: Simplify PI into PI 1537433132.059 * [misc]taylor: Taking taylor expansion of k in n 1537433132.059 * [misc]backup-simplify: Simplify k into k 1537433132.059 * [misc]taylor: Taking taylor expansion of n in n 1537433132.059 * [misc]backup-simplify: Simplify 0 into 0 1537433132.059 * [misc]backup-simplify: Simplify 1 into 1 1537433132.059 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537433132.059 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537433132.060 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.060 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537433132.060 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1537433132.060 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537433132.060 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433132.060 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.060 * [misc]backup-simplify: Simplify 2 into 2 1537433132.060 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.060 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.060 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537433132.061 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537433132.061 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537433132.061 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537433132.061 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433132.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.061 * [misc]taylor: Taking taylor expansion of k in n 1537433132.061 * [misc]backup-simplify: Simplify k into k 1537433132.061 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537433132.061 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433132.061 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433132.061 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.061 * [misc]backup-simplify: Simplify 2 into 2 1537433132.061 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.061 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.061 * [misc]backup-simplify: Simplify PI into PI 1537433132.061 * [misc]taylor: Taking taylor expansion of n in n 1537433132.061 * [misc]backup-simplify: Simplify 0 into 0 1537433132.061 * [misc]backup-simplify: Simplify 1 into 1 1537433132.062 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.062 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.062 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.063 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.064 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433132.064 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.064 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.065 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537433132.065 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537433132.065 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537433132.065 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.065 * [misc]backup-simplify: Simplify PI into PI 1537433132.065 * [misc]taylor: Taking taylor expansion of k in n 1537433132.065 * [misc]backup-simplify: Simplify k into k 1537433132.065 * [misc]taylor: Taking taylor expansion of n in n 1537433132.065 * [misc]backup-simplify: Simplify 0 into 0 1537433132.065 * [misc]backup-simplify: Simplify 1 into 1 1537433132.065 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537433132.065 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537433132.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.065 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537433132.066 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 1537433132.066 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.066 * [misc]backup-simplify: Simplify 0 into 0 1537433132.066 * [misc]backup-simplify: Simplify 0 into 0 1537433132.067 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433132.067 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433132.069 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433132.069 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537433132.070 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.070 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537433132.071 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433132.073 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.074 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.074 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.074 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.074 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.074 * [misc]backup-simplify: Simplify 2 into 2 1537433132.074 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.074 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.074 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.074 * [misc]backup-simplify: Simplify PI into PI 1537433132.074 * [misc]taylor: Taking taylor expansion of k in k 1537433132.074 * [misc]backup-simplify: Simplify 0 into 0 1537433132.074 * [misc]backup-simplify: Simplify 1 into 1 1537433132.074 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.074 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.074 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.074 * [misc]backup-simplify: Simplify 2 into 2 1537433132.074 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.074 * [misc]backup-simplify: Simplify PI into PI 1537433132.075 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.075 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.075 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.075 * [misc]taylor: Taking taylor expansion of n in k 1537433132.075 * [misc]backup-simplify: Simplify n into n 1537433132.075 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.075 * [misc]taylor: Taking taylor expansion of k in k 1537433132.075 * [misc]backup-simplify: Simplify 0 into 0 1537433132.075 * [misc]backup-simplify: Simplify 1 into 1 1537433132.075 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.075 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433132.076 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433132.076 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433132.077 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.077 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537433132.077 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537433132.077 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537433132.078 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537433132.079 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.079 * [misc]backup-simplify: Simplify 0 into 0 1537433132.079 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1537433132.079 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1537433132.080 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1537433132.082 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433132.083 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.083 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433132.087 * [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 1537433132.087 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.088 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537433132.090 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433132.092 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.093 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.093 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433132.093 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433132.093 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.093 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.093 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433132.093 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1537433132.093 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.094 * [misc]backup-simplify: Simplify 2 into 2 1537433132.094 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.094 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.094 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.094 * [misc]backup-simplify: Simplify PI into PI 1537433132.094 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of k in k 1537433132.094 * [misc]backup-simplify: Simplify 0 into 0 1537433132.094 * [misc]backup-simplify: Simplify 1 into 1 1537433132.094 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.094 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.094 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.094 * [misc]backup-simplify: Simplify 2 into 2 1537433132.094 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.094 * [misc]backup-simplify: Simplify PI into PI 1537433132.094 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.095 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.095 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.095 * [misc]taylor: Taking taylor expansion of n in k 1537433132.095 * [misc]backup-simplify: Simplify n into n 1537433132.095 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.095 * [misc]taylor: Taking taylor expansion of k in k 1537433132.095 * [misc]backup-simplify: Simplify 0 into 0 1537433132.095 * [misc]backup-simplify: Simplify 1 into 1 1537433132.095 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.095 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433132.096 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433132.096 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433132.096 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.097 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433132.097 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.097 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537433132.098 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537433132.099 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.099 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537433132.100 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.101 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.101 * [misc]backup-simplify: Simplify 0 into 0 1537433132.101 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1537433132.102 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.103 * [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))) 1537433132.103 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433132.104 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.105 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433132.110 * [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 1537433132.111 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.112 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537433132.114 * [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 1537433132.117 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.119 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.119 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.119 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.119 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.119 * [misc]backup-simplify: Simplify 2 into 2 1537433132.119 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.119 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.119 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.119 * [misc]backup-simplify: Simplify PI into PI 1537433132.119 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of k in k 1537433132.119 * [misc]backup-simplify: Simplify 0 into 0 1537433132.119 * [misc]backup-simplify: Simplify 1 into 1 1537433132.119 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.119 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.119 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.120 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.120 * [misc]backup-simplify: Simplify 2 into 2 1537433132.120 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.120 * [misc]backup-simplify: Simplify PI into PI 1537433132.120 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.120 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.120 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.120 * [misc]taylor: Taking taylor expansion of n in k 1537433132.120 * [misc]backup-simplify: Simplify n into n 1537433132.120 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.120 * [misc]taylor: Taking taylor expansion of k in k 1537433132.120 * [misc]backup-simplify: Simplify 0 into 0 1537433132.120 * [misc]backup-simplify: Simplify 1 into 1 1537433132.120 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.121 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433132.121 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433132.122 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433132.122 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.122 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433132.123 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537433132.123 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.123 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.123 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1537433132.124 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537433132.125 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.125 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537433132.126 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433132.127 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537433132.128 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.129 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537433132.129 * [misc]backup-simplify: Simplify (- 0) into 0 1537433132.129 * [misc]backup-simplify: Simplify 0 into 0 1537433132.129 * [misc]backup-simplify: Simplify 0 into 0 1537433132.130 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537433132.130 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.132 * [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))) 1537433132.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433132.134 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.135 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433132.146 * [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 1537433132.146 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.147 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.148 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537433132.154 * [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 1537433132.159 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.162 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.162 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433132.162 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433132.162 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.162 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.162 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433132.162 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.163 * [misc]backup-simplify: Simplify 2 into 2 1537433132.163 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.163 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.163 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.163 * [misc]backup-simplify: Simplify PI into PI 1537433132.163 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of k in k 1537433132.163 * [misc]backup-simplify: Simplify 0 into 0 1537433132.163 * [misc]backup-simplify: Simplify 1 into 1 1537433132.163 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.163 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433132.163 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433132.164 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.164 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.164 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.164 * [misc]backup-simplify: Simplify 2 into 2 1537433132.164 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.164 * [misc]backup-simplify: Simplify PI into PI 1537433132.164 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.165 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.165 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.165 * [misc]taylor: Taking taylor expansion of n in k 1537433132.165 * [misc]backup-simplify: Simplify n into n 1537433132.165 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.165 * [misc]taylor: Taking taylor expansion of k in k 1537433132.165 * [misc]backup-simplify: Simplify 0 into 0 1537433132.165 * [misc]backup-simplify: Simplify 1 into 1 1537433132.165 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.165 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433132.166 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433132.167 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433132.168 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.168 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433132.169 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537433132.170 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.170 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.170 * [misc]backup-simplify: Simplify (* (pow PI 4) 1) into (pow PI 4) 1537433132.171 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537433132.173 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.175 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537433132.177 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.179 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.180 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537433132.180 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433132.182 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433132.185 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.187 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.187 * [misc]backup-simplify: Simplify (- 0) into 0 1537433132.187 * [misc]backup-simplify: Simplify 0 into 0 1537433132.187 * [misc]backup-simplify: Simplify 0 into 0 1537433132.188 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1537433132.189 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.193 * [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))) 1537433132.193 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433132.194 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.196 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433132.210 * [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 1537433132.210 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.211 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.212 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1537433132.217 * [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 1537433132.220 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.223 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.223 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433132.223 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433132.223 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.223 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.223 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433132.223 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1537433132.223 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433132.223 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.223 * [misc]backup-simplify: Simplify 2 into 2 1537433132.223 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.223 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.223 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1537433132.223 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1537433132.223 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.224 * [misc]backup-simplify: Simplify PI into PI 1537433132.224 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of k in k 1537433132.224 * [misc]backup-simplify: Simplify 0 into 0 1537433132.224 * [misc]backup-simplify: Simplify 1 into 1 1537433132.224 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.224 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.224 * [misc]backup-simplify: Simplify 2 into 2 1537433132.224 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.224 * [misc]backup-simplify: Simplify PI into PI 1537433132.224 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.224 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.224 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.224 * [misc]taylor: Taking taylor expansion of n in k 1537433132.224 * [misc]backup-simplify: Simplify n into n 1537433132.224 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.224 * [misc]taylor: Taking taylor expansion of k in k 1537433132.224 * [misc]backup-simplify: Simplify 0 into 0 1537433132.224 * [misc]backup-simplify: Simplify 1 into 1 1537433132.225 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.225 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433132.225 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433132.226 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433132.226 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.226 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433132.227 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537433132.227 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537433132.227 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.228 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.228 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.228 * [misc]backup-simplify: Simplify (* (pow PI 5) 1) into (pow PI 5) 1537433132.229 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537433132.230 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.230 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433132.230 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433132.231 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1537433132.232 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537433132.234 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.235 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537433132.235 * [misc]backup-simplify: Simplify (- 0) into 0 1537433132.235 * [misc]backup-simplify: Simplify 0 into 0 1537433132.236 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537433132.237 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433132.238 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433132.242 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.243 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1537433132.243 * [misc]backup-simplify: Simplify (- 0) into 0 1537433132.243 * [misc]backup-simplify: Simplify 0 into 0 1537433132.244 * [misc]backup-simplify: Simplify 0 into 0 1537433132.245 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1537433132.246 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.250 * [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))) 1537433132.252 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433132.254 * [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 1537433132.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433132.294 * [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 1537433132.294 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.295 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.297 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1537433132.307 * [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 1537433132.311 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.314 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +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))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.314 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1537433132.314 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1537433132.314 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.314 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.314 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433132.314 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1537433132.314 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433132.314 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.314 * [misc]backup-simplify: Simplify 2 into 2 1537433132.314 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433132.315 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433132.315 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.315 * [misc]backup-simplify: Simplify PI into PI 1537433132.315 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of k in k 1537433132.315 * [misc]backup-simplify: Simplify 0 into 0 1537433132.315 * [misc]backup-simplify: Simplify 1 into 1 1537433132.315 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.315 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.315 * [misc]backup-simplify: Simplify 2 into 2 1537433132.315 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.315 * [misc]backup-simplify: Simplify PI into PI 1537433132.315 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.315 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.315 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.315 * [misc]taylor: Taking taylor expansion of n in k 1537433132.316 * [misc]backup-simplify: Simplify n into n 1537433132.316 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.316 * [misc]taylor: Taking taylor expansion of k in k 1537433132.316 * [misc]backup-simplify: Simplify 0 into 0 1537433132.316 * [misc]backup-simplify: Simplify 1 into 1 1537433132.316 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.316 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433132.316 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433132.317 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433132.317 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.318 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433132.318 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537433132.319 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537433132.319 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.319 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.319 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433132.320 * [misc]backup-simplify: Simplify (* (pow PI 6) 1) into (pow PI 6) 1537433132.320 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537433132.321 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.322 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1537433132.324 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.325 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.330 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537433132.330 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 (- n)))) (/ (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) 1537433132.330 * [misc]approximate: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0 1537433132.330 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1537433132.330 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537433132.330 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433132.330 * [misc]taylor: Taking taylor expansion of -2 in k 1537433132.330 * [misc]backup-simplify: Simplify -2 into -2 1537433132.330 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433132.330 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.330 * [misc]backup-simplify: Simplify PI into PI 1537433132.330 * [misc]taylor: Taking taylor expansion of n in k 1537433132.330 * [misc]backup-simplify: Simplify n into n 1537433132.330 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433132.331 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433132.331 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537433132.331 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537433132.331 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537433132.331 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537433132.331 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433132.331 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.331 * [misc]taylor: Taking taylor expansion of k in k 1537433132.331 * [misc]backup-simplify: Simplify 0 into 0 1537433132.331 * [misc]backup-simplify: Simplify 1 into 1 1537433132.331 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537433132.331 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of -2 in k 1537433132.331 * [misc]backup-simplify: Simplify -2 into -2 1537433132.331 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433132.331 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.331 * [misc]backup-simplify: Simplify PI into PI 1537433132.331 * [misc]taylor: Taking taylor expansion of n in k 1537433132.331 * [misc]backup-simplify: Simplify n into n 1537433132.332 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433132.332 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433132.332 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537433132.332 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537433132.332 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537433132.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433132.332 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433132.332 * [misc]taylor: Taking taylor expansion of -1 in k 1537433132.332 * [misc]backup-simplify: Simplify -1 into -1 1537433132.332 * [misc]taylor: Taking taylor expansion of k in k 1537433132.332 * [misc]backup-simplify: Simplify 0 into 0 1537433132.332 * [misc]backup-simplify: Simplify 1 into 1 1537433132.332 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433132.332 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.333 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433132.333 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1537433132.333 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537433132.333 * [misc]backup-simplify: Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537433132.333 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537433132.333 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537433132.333 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433132.333 * [misc]taylor: Taking taylor expansion of -2 in n 1537433132.333 * [misc]backup-simplify: Simplify -2 into -2 1537433132.333 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.333 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.333 * [misc]backup-simplify: Simplify PI into PI 1537433132.333 * [misc]taylor: Taking taylor expansion of n in n 1537433132.333 * [misc]backup-simplify: Simplify 0 into 0 1537433132.333 * [misc]backup-simplify: Simplify 1 into 1 1537433132.334 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.334 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.334 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.334 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537433132.334 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537433132.334 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537433132.334 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537433132.334 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537433132.334 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537433132.334 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433132.335 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.335 * [misc]taylor: Taking taylor expansion of k in n 1537433132.335 * [misc]backup-simplify: Simplify k into k 1537433132.335 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537433132.335 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433132.335 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433132.335 * [misc]taylor: Taking taylor expansion of -2 in n 1537433132.335 * [misc]backup-simplify: Simplify -2 into -2 1537433132.335 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.335 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.335 * [misc]backup-simplify: Simplify PI into PI 1537433132.335 * [misc]taylor: Taking taylor expansion of n in n 1537433132.335 * [misc]backup-simplify: Simplify 0 into 0 1537433132.335 * [misc]backup-simplify: Simplify 1 into 1 1537433132.335 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.335 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.335 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433132.336 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433132.336 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433132.337 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433132.337 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433132.337 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433132.337 * [misc]taylor: Taking taylor expansion of -1 in n 1537433132.337 * [misc]backup-simplify: Simplify -1 into -1 1537433132.337 * [misc]taylor: Taking taylor expansion of k in n 1537433132.337 * [misc]backup-simplify: Simplify k into k 1537433132.337 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433132.337 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433132.337 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433132.337 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433132.338 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433132.338 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537433132.338 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537433132.338 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537433132.338 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433132.338 * [misc]taylor: Taking taylor expansion of -2 in n 1537433132.338 * [misc]backup-simplify: Simplify -2 into -2 1537433132.338 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.338 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.338 * [misc]backup-simplify: Simplify PI into PI 1537433132.338 * [misc]taylor: Taking taylor expansion of n in n 1537433132.338 * [misc]backup-simplify: Simplify 0 into 0 1537433132.338 * [misc]backup-simplify: Simplify 1 into 1 1537433132.339 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.339 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.339 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.339 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537433132.339 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537433132.339 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537433132.339 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537433132.339 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537433132.339 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537433132.339 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433132.339 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.339 * [misc]taylor: Taking taylor expansion of k in n 1537433132.339 * [misc]backup-simplify: Simplify k into k 1537433132.340 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537433132.340 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433132.340 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433132.340 * [misc]taylor: Taking taylor expansion of -2 in n 1537433132.340 * [misc]backup-simplify: Simplify -2 into -2 1537433132.340 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.340 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.340 * [misc]backup-simplify: Simplify PI into PI 1537433132.340 * [misc]taylor: Taking taylor expansion of n in n 1537433132.340 * [misc]backup-simplify: Simplify 0 into 0 1537433132.340 * [misc]backup-simplify: Simplify 1 into 1 1537433132.340 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.340 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.340 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433132.341 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433132.341 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433132.342 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433132.342 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433132.342 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433132.342 * [misc]taylor: Taking taylor expansion of -1 in n 1537433132.342 * [misc]backup-simplify: Simplify -1 into -1 1537433132.342 * [misc]taylor: Taking taylor expansion of k in n 1537433132.342 * [misc]backup-simplify: Simplify k into k 1537433132.342 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433132.342 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433132.342 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433132.342 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433132.342 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433132.343 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1537433132.343 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.343 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.343 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.343 * [misc]backup-simplify: Simplify PI into PI 1537433132.343 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433132.343 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.343 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537433132.343 * [misc]taylor: Taking taylor expansion of -2 in k 1537433132.343 * [misc]backup-simplify: Simplify -2 into -2 1537433132.343 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.344 * [misc]backup-simplify: Simplify PI into PI 1537433132.344 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.344 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433132.344 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.344 * [misc]taylor: Taking taylor expansion of n in k 1537433132.344 * [misc]backup-simplify: Simplify n into n 1537433132.344 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.344 * [misc]taylor: Taking taylor expansion of k in k 1537433132.344 * [misc]backup-simplify: Simplify 0 into 0 1537433132.344 * [misc]backup-simplify: Simplify 1 into 1 1537433132.344 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.345 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537433132.345 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537433132.345 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537433132.346 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433132.346 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433132.346 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433132.346 * [misc]taylor: Taking taylor expansion of -1 in k 1537433132.346 * [misc]backup-simplify: Simplify -1 into -1 1537433132.346 * [misc]taylor: Taking taylor expansion of k in k 1537433132.346 * [misc]backup-simplify: Simplify 0 into 0 1537433132.346 * [misc]backup-simplify: Simplify 1 into 1 1537433132.346 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433132.346 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.346 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433132.347 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537433132.347 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.348 * [misc]backup-simplify: Simplify (/ PI (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.348 * [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))))) 1537433132.349 * [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))))) 1537433132.350 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433132.350 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433132.351 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537433132.352 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433132.352 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433132.354 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433132.354 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537433132.355 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433132.355 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537433132.356 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433132.357 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0 1537433132.359 * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))) 1537433132.359 * [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 1537433132.359 * [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 1537433132.359 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537433132.359 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433132.359 * [misc]taylor: Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.359 * [misc]backup-simplify: Simplify PI into PI 1537433132.359 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433132.359 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.359 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537433132.359 * [misc]taylor: Taking taylor expansion of -2 in k 1537433132.359 * [misc]backup-simplify: Simplify -2 into -2 1537433132.359 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.359 * [misc]backup-simplify: Simplify PI into PI 1537433132.360 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.360 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433132.360 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.360 * [misc]taylor: Taking taylor expansion of n in k 1537433132.360 * [misc]backup-simplify: Simplify n into n 1537433132.360 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.360 * [misc]taylor: Taking taylor expansion of k in k 1537433132.360 * [misc]backup-simplify: Simplify 0 into 0 1537433132.360 * [misc]backup-simplify: Simplify 1 into 1 1537433132.360 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.360 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537433132.361 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537433132.361 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537433132.362 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433132.362 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433132.362 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433132.362 * [misc]taylor: Taking taylor expansion of -1 in k 1537433132.362 * [misc]backup-simplify: Simplify -1 into -1 1537433132.362 * [misc]taylor: Taking taylor expansion of k in k 1537433132.362 * [misc]backup-simplify: Simplify 0 into 0 1537433132.362 * [misc]backup-simplify: Simplify 1 into 1 1537433132.362 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433132.362 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.362 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433132.362 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433132.363 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537433132.363 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.364 * [misc]backup-simplify: Simplify (/ (pow PI 2) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.365 * [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))))) 1537433132.366 * [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)))))) 1537433132.367 * [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)))))) 1537433132.367 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537433132.368 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433132.368 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.370 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537433132.371 * [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)))))) 1537433132.372 * [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)))))) 1537433132.375 * [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 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537433132.375 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1537433132.375 * [misc]backup-simplify: Simplify (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) 1537433132.375 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1537433132.375 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.375 * [misc]taylor: Taking taylor expansion of k in k 1537433132.375 * [misc]backup-simplify: Simplify 0 into 0 1537433132.375 * [misc]backup-simplify: Simplify 1 into 1 1537433132.375 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.375 * [misc]backup-simplify: Simplify 2 into 2 1537433132.375 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433132.375 * [misc]taylor: Taking taylor expansion of n in k 1537433132.375 * [misc]backup-simplify: Simplify n into n 1537433132.375 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.376 * [misc]backup-simplify: Simplify PI into PI 1537433132.376 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433132.376 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537433132.376 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537433132.376 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433132.376 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537433132.376 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537433132.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537433132.377 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537433132.377 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537433132.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537433132.378 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433132.378 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433132.378 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537433132.378 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433132.378 * [misc]taylor: Taking taylor expansion of k in k 1537433132.378 * [misc]backup-simplify: Simplify 0 into 0 1537433132.378 * [misc]backup-simplify: Simplify 1 into 1 1537433132.378 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433132.378 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.378 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433132.378 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433132.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.378 * [misc]taylor: Taking taylor expansion of k in n 1537433132.378 * [misc]backup-simplify: Simplify k into k 1537433132.378 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.378 * [misc]backup-simplify: Simplify 2 into 2 1537433132.378 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433132.378 * [misc]taylor: Taking taylor expansion of n in n 1537433132.379 * [misc]backup-simplify: Simplify 0 into 0 1537433132.379 * [misc]backup-simplify: Simplify 1 into 1 1537433132.379 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.379 * [misc]backup-simplify: Simplify PI into PI 1537433132.379 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433132.379 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433132.380 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433132.381 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433132.381 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.381 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433132.382 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433132.383 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537433132.383 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537433132.384 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1537433132.384 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537433132.384 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433132.384 * [misc]taylor: Taking taylor expansion of k in n 1537433132.384 * [misc]backup-simplify: Simplify k into k 1537433132.384 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433132.384 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537433132.384 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433132.384 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537433132.384 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ 1 k))) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433132.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.385 * [misc]taylor: Taking taylor expansion of k in n 1537433132.385 * [misc]backup-simplify: Simplify k into k 1537433132.385 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.385 * [misc]backup-simplify: Simplify 2 into 2 1537433132.385 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433132.385 * [misc]taylor: Taking taylor expansion of n in n 1537433132.385 * [misc]backup-simplify: Simplify 0 into 0 1537433132.385 * [misc]backup-simplify: Simplify 1 into 1 1537433132.385 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.385 * [misc]backup-simplify: Simplify PI into PI 1537433132.385 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433132.386 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433132.386 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433132.387 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433132.388 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.388 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433132.388 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433132.389 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537433132.390 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537433132.390 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1537433132.390 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537433132.391 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537433132.391 * [misc]taylor: Taking taylor expansion of k in n 1537433132.391 * [misc]backup-simplify: Simplify k into k 1537433132.391 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537433132.391 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537433132.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537433132.391 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537433132.392 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) into (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) 1537433132.392 * [misc]taylor: Taking taylor expansion of (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.392 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of n in k 1537433132.392 * [misc]backup-simplify: Simplify n into n 1537433132.392 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.392 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.392 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.392 * [misc]backup-simplify: Simplify 2 into 2 1537433132.392 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.392 * [misc]backup-simplify: Simplify PI into PI 1537433132.393 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.393 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.393 * [misc]taylor: Taking taylor expansion of k in k 1537433132.393 * [misc]backup-simplify: Simplify 0 into 0 1537433132.393 * [misc]backup-simplify: Simplify 1 into 1 1537433132.394 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433132.394 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537433132.395 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433132.395 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537433132.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433132.399 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433132.399 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433132.401 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537433132.402 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433132.403 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433132.403 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433132.403 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537433132.403 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537433132.403 * [misc]taylor: Taking taylor expansion of k in k 1537433132.403 * [misc]backup-simplify: Simplify 0 into 0 1537433132.403 * [misc]backup-simplify: Simplify 1 into 1 1537433132.403 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537433132.403 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.404 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433132.404 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537433132.404 * [misc]backup-simplify: Simplify 0 into 0 1537433132.405 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433132.406 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433132.409 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433132.409 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537433132.410 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433132.411 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537433132.413 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433132.414 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537433132.415 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1537433132.415 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.415 * [misc]backup-simplify: Simplify 0 into 0 1537433132.416 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1537433132.418 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537433132.419 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 0)) into (- +nan.0) 1537433132.419 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537433132.420 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.420 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1537433132.422 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433132.424 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433132.429 * [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 1537433132.430 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537433132.430 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433132.431 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537433132.434 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433132.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537433132.437 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1537433132.437 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.437 * [misc]backup-simplify: Simplify 0 into 0 1537433132.437 * [misc]backup-simplify: Simplify 0 into 0 1537433132.437 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1537433132.438 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433132.440 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537433132.441 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433132.445 * [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 1537433132.445 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433132.446 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1537433132.447 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1537433132.448 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1537433132.453 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1)) (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1537433132.456 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) +nan.0) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) 1537433132.456 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) 1537433132.457 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.457 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1537433132.458 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433132.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433132.465 * [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 1537433132.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537433132.466 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433132.467 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537433132.470 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1537433132.472 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1537433132.472 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1537433132.472 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.472 * [misc]backup-simplify: Simplify 0 into 0 1537433132.472 * [misc]backup-simplify: Simplify 0 into 0 1537433132.472 * [misc]backup-simplify: Simplify 0 into 0 1537433132.473 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.474 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537433132.475 * [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 1537433132.476 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433132.482 * [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 1537433132.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537433132.483 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537433132.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0 1537433132.487 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (+ (* 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))))) 1537433132.501 * [misc]backup-simplify: Simplify (- (+ (* 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))))) 1)) (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) (/ (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1)) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 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)))))) 1537433132.512 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) +nan.0) (+ (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) +nan.0) (* (- (+ (* 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)))))) 0)))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) 1537433132.519 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- +nan.0))))))))))) 1537433132.527 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- +nan.0))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) (* k 1)) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 k) (- +nan.0))))))))))))))))))) 1537433132.527 * [misc]backup-simplify: Simplify (/ (/ 1 (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) 1537433132.527 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in (n k) around 0 1537433132.527 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.527 * [misc]taylor: Taking taylor expansion of k in k 1537433132.527 * [misc]backup-simplify: Simplify 0 into 0 1537433132.527 * [misc]backup-simplify: Simplify 1 into 1 1537433132.527 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537433132.527 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.527 * [misc]backup-simplify: Simplify 2 into 2 1537433132.527 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433132.527 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.527 * [misc]backup-simplify: Simplify PI into PI 1537433132.527 * [misc]taylor: Taking taylor expansion of n in k 1537433132.528 * [misc]backup-simplify: Simplify n into n 1537433132.528 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433132.528 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537433132.528 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537433132.528 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537433132.528 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537433132.528 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 1537433132.528 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537433132.528 * [misc]taylor: Taking taylor expansion of k in k 1537433132.528 * [misc]backup-simplify: Simplify 0 into 0 1537433132.528 * [misc]backup-simplify: Simplify 1 into 1 1537433132.528 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.529 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433132.529 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433132.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.529 * [misc]taylor: Taking taylor expansion of k in n 1537433132.529 * [misc]backup-simplify: Simplify k into k 1537433132.529 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537433132.529 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.529 * [misc]backup-simplify: Simplify 2 into 2 1537433132.529 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.529 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.529 * [misc]backup-simplify: Simplify PI into PI 1537433132.529 * [misc]taylor: Taking taylor expansion of n in n 1537433132.529 * [misc]backup-simplify: Simplify 0 into 0 1537433132.529 * [misc]backup-simplify: Simplify 1 into 1 1537433132.529 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.529 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.530 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.531 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433132.531 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.532 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.532 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of k in n 1537433132.532 * [misc]backup-simplify: Simplify k into k 1537433132.532 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537433132.532 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537433132.532 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt k)) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433132.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.532 * [misc]taylor: Taking taylor expansion of k in n 1537433132.532 * [misc]backup-simplify: Simplify k into k 1537433132.532 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537433132.532 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of 2 in n 1537433132.532 * [misc]backup-simplify: Simplify 2 into 2 1537433132.532 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.532 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.532 * [misc]backup-simplify: Simplify PI into PI 1537433132.532 * [misc]taylor: Taking taylor expansion of n in n 1537433132.532 * [misc]backup-simplify: Simplify 0 into 0 1537433132.532 * [misc]backup-simplify: Simplify 1 into 1 1537433132.532 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.532 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.533 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.534 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433132.534 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.534 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.535 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537433132.535 * [misc]taylor: Taking taylor expansion of k in n 1537433132.535 * [misc]backup-simplify: Simplify k into k 1537433132.535 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537433132.535 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537433132.535 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) into (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) 1537433132.535 * [misc]taylor: Taking taylor expansion of (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) in k 1537433132.535 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1537433132.535 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537433132.535 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537433132.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433132.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433132.535 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537433132.536 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537433132.536 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537433132.536 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537433132.536 * [misc]taylor: Taking taylor expansion of 2 in k 1537433132.536 * [misc]backup-simplify: Simplify 2 into 2 1537433132.536 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.536 * [misc]backup-simplify: Simplify PI into PI 1537433132.536 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433132.537 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433132.537 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.537 * [misc]taylor: Taking taylor expansion of n in k 1537433132.537 * [misc]backup-simplify: Simplify n into n 1537433132.537 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.537 * [misc]taylor: Taking taylor expansion of k in k 1537433132.537 * [misc]backup-simplify: Simplify 0 into 0 1537433132.537 * [misc]backup-simplify: Simplify 1 into 1 1537433132.537 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.537 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537433132.538 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537433132.539 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1537433132.539 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433132.540 * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1537433132.540 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537433132.540 * [misc]taylor: Taking taylor expansion of k in k 1537433132.540 * [misc]backup-simplify: Simplify 0 into 0 1537433132.540 * [misc]backup-simplify: Simplify 1 into 1 1537433132.540 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.541 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537433132.542 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 1537433132.542 * [misc]backup-simplify: Simplify 0 into 0 1537433132.543 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433132.543 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433132.545 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433132.545 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537433132.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.546 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537433132.547 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433132.548 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.549 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) (* 0 (sqrt k))) into 0 1537433132.549 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.549 * [misc]backup-simplify: Simplify 0 into 0 1537433132.549 * [misc]backup-simplify: Simplify 0 into 0 1537433132.550 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.550 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.551 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.551 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1537433132.552 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.553 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433132.556 * [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 1537433132.557 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.558 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537433132.559 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433132.560 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.561 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1537433132.561 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.561 * [misc]backup-simplify: Simplify 0 into 0 1537433132.561 * [misc]backup-simplify: Simplify 0 into 0 1537433132.561 * [misc]backup-simplify: Simplify 0 into 0 1537433132.562 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433132.563 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.564 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.564 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.565 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1537433132.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.567 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433132.573 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1537433132.574 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433132.575 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537433132.579 * [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 1537433132.582 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.583 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1537433132.583 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.583 * [misc]backup-simplify: Simplify 0 into 0 1537433132.584 * [misc]backup-simplify: Simplify 0 into 0 1537433132.584 * [misc]backup-simplify: Simplify 0 into 0 1537433132.584 * [misc]backup-simplify: Simplify 0 into 0 1537433132.585 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537433132.588 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537433132.589 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.590 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1537433132.593 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)))))))) 1537433132.594 * [misc]backup-simplify: Simplify (/ (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) 1537433132.594 * [misc]approximate: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0 1537433132.594 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433132.594 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.594 * [misc]taylor: Taking taylor expansion of k in k 1537433132.594 * [misc]backup-simplify: Simplify 0 into 0 1537433132.594 * [misc]backup-simplify: Simplify 1 into 1 1537433132.594 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537433132.594 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of -2 in k 1537433132.594 * [misc]backup-simplify: Simplify -2 into -2 1537433132.594 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433132.594 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.595 * [misc]backup-simplify: Simplify PI into PI 1537433132.595 * [misc]taylor: Taking taylor expansion of n in k 1537433132.595 * [misc]backup-simplify: Simplify n into n 1537433132.595 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433132.595 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433132.595 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537433132.595 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537433132.595 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537433132.595 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433132.595 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433132.595 * [misc]taylor: Taking taylor expansion of -1 in k 1537433132.595 * [misc]backup-simplify: Simplify -1 into -1 1537433132.595 * [misc]taylor: Taking taylor expansion of k in k 1537433132.595 * [misc]backup-simplify: Simplify 0 into 0 1537433132.595 * [misc]backup-simplify: Simplify 1 into 1 1537433132.596 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433132.596 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.596 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433132.597 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1537433132.597 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1537433132.598 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (/ +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) 1537433132.598 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433132.598 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.598 * [misc]taylor: Taking taylor expansion of k in n 1537433132.598 * [misc]backup-simplify: Simplify k into k 1537433132.598 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537433132.598 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of -2 in n 1537433132.598 * [misc]backup-simplify: Simplify -2 into -2 1537433132.598 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.598 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.598 * [misc]backup-simplify: Simplify PI into PI 1537433132.598 * [misc]taylor: Taking taylor expansion of n in n 1537433132.598 * [misc]backup-simplify: Simplify 0 into 0 1537433132.598 * [misc]backup-simplify: Simplify 1 into 1 1537433132.599 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.599 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.599 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433132.600 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433132.601 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433132.601 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433132.601 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433132.601 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433132.601 * [misc]taylor: Taking taylor expansion of -1 in n 1537433132.601 * [misc]backup-simplify: Simplify -1 into -1 1537433132.602 * [misc]taylor: Taking taylor expansion of k in n 1537433132.602 * [misc]backup-simplify: Simplify k into k 1537433132.602 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433132.602 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433132.602 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433132.602 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433132.603 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433132.603 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.604 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433132.604 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.604 * [misc]taylor: Taking taylor expansion of k in n 1537433132.604 * [misc]backup-simplify: Simplify k into k 1537433132.604 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537433132.604 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of -2 in n 1537433132.604 * [misc]backup-simplify: Simplify -2 into -2 1537433132.604 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433132.604 * [misc]taylor: Taking taylor expansion of PI in n 1537433132.604 * [misc]backup-simplify: Simplify PI into PI 1537433132.604 * [misc]taylor: Taking taylor expansion of n in n 1537433132.604 * [misc]backup-simplify: Simplify 0 into 0 1537433132.604 * [misc]backup-simplify: Simplify 1 into 1 1537433132.604 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433132.605 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.605 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433132.606 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433132.607 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433132.607 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433132.607 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433132.607 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433132.608 * [misc]taylor: Taking taylor expansion of -1 in n 1537433132.608 * [misc]backup-simplify: Simplify -1 into -1 1537433132.608 * [misc]taylor: Taking taylor expansion of k in n 1537433132.608 * [misc]backup-simplify: Simplify k into k 1537433132.608 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433132.608 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433132.608 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433132.608 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433132.609 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433132.610 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.610 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1537433132.610 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1537433132.610 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433132.610 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433132.610 * [misc]taylor: Taking taylor expansion of -1 in k 1537433132.610 * [misc]backup-simplify: Simplify -1 into -1 1537433132.610 * [misc]taylor: Taking taylor expansion of k in k 1537433132.610 * [misc]backup-simplify: Simplify 0 into 0 1537433132.610 * [misc]backup-simplify: Simplify 1 into 1 1537433132.610 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433132.610 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433132.611 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433132.611 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537433132.611 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537433132.611 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433132.611 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433132.611 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537433132.611 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537433132.611 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537433132.611 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537433132.611 * [misc]taylor: Taking taylor expansion of -2 in k 1537433132.611 * [misc]backup-simplify: Simplify -2 into -2 1537433132.611 * [misc]taylor: Taking taylor expansion of PI in k 1537433132.611 * [misc]backup-simplify: Simplify PI into PI 1537433132.611 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433132.612 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433132.612 * [misc]taylor: Taking taylor expansion of (log n) in k 1537433132.612 * [misc]taylor: Taking taylor expansion of n in k 1537433132.612 * [misc]backup-simplify: Simplify n into n 1537433132.612 * [misc]backup-simplify: Simplify (log n) into (log n) 1537433132.612 * [misc]taylor: Taking taylor expansion of k in k 1537433132.612 * [misc]backup-simplify: Simplify 0 into 0 1537433132.612 * [misc]backup-simplify: Simplify 1 into 1 1537433132.612 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537433132.613 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537433132.613 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537433132.614 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1537433132.615 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433132.615 * [misc]backup-simplify: Simplify (* 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537433132.616 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.617 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433132.618 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1537433132.619 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433132.620 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433132.626 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433132.626 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537433132.627 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433132.627 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537433132.628 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433132.629 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0 1537433132.630 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into 0 1537433132.630 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.630 * [misc]backup-simplify: Simplify 0 into 0 1537433132.630 * [misc]backup-simplify: Simplify 0 into 0 1537433132.630 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537433132.631 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433132.631 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.633 * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537433132.633 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537433132.633 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.634 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1537433132.635 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.636 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433132.639 * [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 1537433132.639 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433132.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433132.640 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537433132.642 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433132.642 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt (/ -1 k))))) into 0 1537433132.644 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (* 0 (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into 0 1537433132.644 * [misc]taylor: Taking taylor expansion of 0 in k 1537433132.644 * [misc]backup-simplify: Simplify 0 into 0 1537433132.644 * [misc]backup-simplify: Simplify 0 into 0 1537433132.644 * [misc]backup-simplify: Simplify 0 into 0 1537433132.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433132.645 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537433132.645 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433132.648 * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537433132.649 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537433132.651 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (/ +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537433132.651 * * * [misc]progress: simplifying candidates 1537433132.651 * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # 1537433132.651 * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # 1537433132.652 * [enter]simplify: Simplifying (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433132.653 * * [misc]simplify: iters left: 6 (16 enodes) 1537433132.656 * * [misc]simplify: iters left: 5 (30 enodes) 1537433132.663 * * [misc]simplify: iters left: 4 (46 enodes) 1537433132.671 * * [misc]simplify: iters left: 3 (64 enodes) 1537433132.688 * * [misc]simplify: iters left: 2 (135 enodes) 1537433132.758 * * [misc]simplify: iters left: 1 (344 enodes) 1537433132.939 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))) 1537433132.939 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))) 1)) 1537433132.939 * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # 1537433132.940 * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # 1537433132.940 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))) 1537433132.941 * * [misc]simplify: iters left: 6 (18 enodes) 1537433132.946 * * [misc]simplify: iters left: 5 (40 enodes) 1537433132.957 * * [misc]simplify: iters left: 4 (80 enodes) 1537433132.981 * * [misc]simplify: iters left: 3 (166 enodes) 1537433133.058 * * [misc]simplify: iters left: 2 (391 enodes) 1537433133.313 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (log 2) (/ k 2))) (* (/ k 2) (log (* n PI))))) 1537433133.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (log 2) (/ k 2))) (* (/ k 2) (log (* n PI))))))) 1537433133.313 * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # 1537433133.314 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))) 1537433133.315 * * [misc]simplify: iters left: 6 (18 enodes) 1537433133.321 * * [misc]simplify: iters left: 5 (40 enodes) 1537433133.340 * * [misc]simplify: iters left: 4 (80 enodes) 1537433133.382 * * [misc]simplify: iters left: 3 (166 enodes) 1537433133.482 * * [misc]simplify: iters left: 2 (391 enodes) 1537433133.753 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (log 2) (/ k 2))) (* (/ k 2) (log (* n PI))))) 1537433133.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (log 2) (/ k 2))) (* (/ k 2) (log (* n PI))))))) 1537433133.753 * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # 1537433133.753 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))) 1537433133.755 * * [misc]simplify: iters left: 6 (18 enodes) 1537433133.764 * * [misc]simplify: iters left: 5 (32 enodes) 1537433133.780 * * [misc]simplify: iters left: 4 (66 enodes) 1537433133.813 * * [misc]simplify: iters left: 3 (172 enodes) 1537433133.966 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (log n) (/ k 2))) (* (/ k 2) (log (* PI 2))))) 1537433133.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (+ (+ (log (sqrt k)) (* (log n) (/ k 2))) (* (/ k 2) (log (* PI 2))))))) 1537433133.966 * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # 1537433133.966 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (log (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))) 1537433133.968 * * [misc]simplify: iters left: 6 (19 enodes) 1537433133.979 * * [misc]simplify: iters left: 5 (37 enodes) 1537433133.992 * * [misc]simplify: iters left: 4 (53 enodes) 1537433134.017 * * [misc]simplify: iters left: 3 (94 enodes) 1537433134.062 * * [misc]simplify: iters left: 2 (267 enodes) 1537433134.585 * [exit]simplify: Simplified to (- (log (sqrt (* PI (* n 2)))) (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))) 1537433134.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* PI (* n 2)))) (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))))) 1537433134.585 * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # 1537433134.586 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (log (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433134.587 * * [misc]simplify: iters left: 6 (18 enodes) 1537433134.591 * * [misc]simplify: iters left: 5 (33 enodes) 1537433134.598 * * [misc]simplify: iters left: 4 (52 enodes) 1537433134.610 * * [misc]simplify: iters left: 3 (70 enodes) 1537433134.638 * * [misc]simplify: iters left: 2 (121 enodes) 1537433134.693 * * [misc]simplify: iters left: 1 (296 enodes) 1537433135.248 * [exit]simplify: Simplified to (- (log (sqrt (* PI (* n 2)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (/ k 2) (log (* PI 2))))) 1537433135.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* PI (* n 2)))) (+ (+ (log (sqrt k)) (* (/ k 2) (log n))) (* (/ k 2) (log (* PI 2))))))) 1537433135.248 * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # 1537433135.248 * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # 1537433135.248 * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # 1537433135.249 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (/ 1 (pow (* PI (* n 2)) (/ k 2))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1537433135.250 * * [misc]simplify: iters left: 6 (22 enodes) 1537433135.257 * * [misc]simplify: iters left: 5 (52 enodes) 1537433135.286 * * [misc]simplify: iters left: 4 (169 enodes) 1537433135.512 * [exit]simplify: Simplified to (/ (* (* (sqrt (* 2 (* n PI))) (* 2 (* n PI))) (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (* (pow (* 2 (* n PI)) (/ k 2)) (* (* k (sqrt k)) (pow (* 2 (* n PI)) (/ k 2))))) 1537433135.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (sqrt (* 2 (* n PI))) (* 2 (* n PI))) (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (* (pow (* 2 (* n PI)) (/ k 2)) (* (* k (sqrt k)) (pow (* 2 (* n PI)) (/ k 2))))))) 1537433135.512 * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # 1537433135.512 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433135.514 * * [misc]simplify: iters left: 6 (20 enodes) 1537433135.520 * * [misc]simplify: iters left: 5 (44 enodes) 1537433135.540 * * [misc]simplify: iters left: 4 (139 enodes) 1537433135.722 * [exit]simplify: Simplified to (* (* (* (sqrt (* (* PI 2) n)) (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2)))) (* (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))))) 1537433135.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (sqrt (* (* PI 2) n)) (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2)))) (* (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))) (/ (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ k 2))))))) 1537433135.722 * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # 1537433135.722 * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # 1537433135.722 * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # 1537433135.722 * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # 1537433135.722 * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # 1537433135.723 * [enter]simplify: Simplifying (cbrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433135.724 * * [misc]simplify: iters left: 6 (13 enodes) 1537433135.729 * * [misc]simplify: iters left: 5 (21 enodes) 1537433135.738 * * [misc]simplify: iters left: 4 (30 enodes) 1537433135.746 * * [misc]simplify: iters left: 3 (31 enodes) 1537433135.752 * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))) 1537433135.752 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) (cbrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) (cbrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537433135.752 * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # 1537433135.752 * [enter]simplify: Simplifying (sqrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 1537433135.753 * * [misc]simplify: iters left: 6 (13 enodes) 1537433135.755 * * [misc]simplify: iters left: 5 (21 enodes) 1537433135.759 * * [misc]simplify: iters left: 4 (30 enodes) 1537433135.764 * * [misc]simplify: iters left: 3 (31 enodes) 1537433135.770 * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))) 1537433135.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) (sqrt (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537433135.770 * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # 1537433135.771 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433135.771 * * [misc]simplify: iters left: 6 (14 enodes) 1537433135.774 * * [misc]simplify: iters left: 5 (20 enodes) 1537433135.779 * * [misc]simplify: iters left: 4 (26 enodes) 1537433135.788 * * [misc]simplify: iters left: 3 (27 enodes) 1537433135.796 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537433135.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))))) 1537433135.796 * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # 1537433135.797 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433135.798 * * [misc]simplify: iters left: 6 (14 enodes) 1537433135.803 * * [misc]simplify: iters left: 5 (20 enodes) 1537433135.810 * * [misc]simplify: iters left: 4 (26 enodes) 1537433135.818 * * [misc]simplify: iters left: 3 (27 enodes) 1537433135.826 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537433135.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))))) 1537433135.827 * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # 1537433135.827 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433135.828 * * [misc]simplify: iters left: 6 (13 enodes) 1537433135.834 * * [misc]simplify: iters left: 5 (19 enodes) 1537433135.840 * * [misc]simplify: iters left: 4 (25 enodes) 1537433135.848 * * [misc]simplify: iters left: 3 (26 enodes) 1537433135.856 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537433135.856 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) 1)) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)))) 1537433135.856 * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # 1537433135.856 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433135.858 * * [misc]simplify: iters left: 6 (14 enodes) 1537433135.863 * * [misc]simplify: iters left: 5 (20 enodes) 1537433135.869 * * [misc]simplify: iters left: 4 (26 enodes) 1537433135.877 * * [misc]simplify: iters left: 3 (27 enodes) 1537433135.886 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537433135.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))))) 1537433135.886 * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # 1537433135.887 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433135.888 * * [misc]simplify: iters left: 6 (14 enodes) 1537433135.894 * * [misc]simplify: iters left: 5 (20 enodes) 1537433135.903 * * [misc]simplify: iters left: 4 (26 enodes) 1537433135.910 * * [misc]simplify: iters left: 3 (27 enodes) 1537433135.919 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537433135.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))))) 1537433135.919 * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # 1537433135.920 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433135.921 * * [misc]simplify: iters left: 6 (13 enodes) 1537433135.926 * * [misc]simplify: iters left: 5 (19 enodes) 1537433135.932 * * [misc]simplify: iters left: 4 (25 enodes) 1537433135.940 * * [misc]simplify: iters left: 3 (26 enodes) 1537433135.944 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537433135.944 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) 1)) (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)))) 1537433135.944 * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # 1537433135.944 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433135.945 * * [misc]simplify: iters left: 6 (13 enodes) 1537433135.947 * * [misc]simplify: iters left: 5 (21 enodes) 1537433135.951 * * [misc]simplify: iters left: 4 (30 enodes) 1537433135.956 * * [misc]simplify: iters left: 3 (31 enodes) 1537433135.966 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433135.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537433135.966 * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # 1537433135.966 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433135.968 * * [misc]simplify: iters left: 6 (13 enodes) 1537433135.973 * * [misc]simplify: iters left: 5 (21 enodes) 1537433135.981 * * [misc]simplify: iters left: 4 (30 enodes) 1537433135.990 * * [misc]simplify: iters left: 3 (31 enodes) 1537433136.000 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433136.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537433136.000 * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # 1537433136.000 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433136.001 * * [misc]simplify: iters left: 6 (12 enodes) 1537433136.006 * * [misc]simplify: iters left: 5 (20 enodes) 1537433136.014 * * [misc]simplify: iters left: 4 (29 enodes) 1537433136.024 * * [misc]simplify: iters left: 3 (30 enodes) 1537433136.033 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537433136.033 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537433136.033 * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # 1537433136.033 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433136.036 * * [misc]simplify: iters left: 6 (13 enodes) 1537433136.041 * * [misc]simplify: iters left: 5 (21 enodes) 1537433136.049 * * [misc]simplify: iters left: 4 (30 enodes) 1537433136.058 * * [misc]simplify: iters left: 3 (31 enodes) 1537433136.068 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433136.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537433136.068 * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # 1537433136.068 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433136.070 * * [misc]simplify: iters left: 6 (13 enodes) 1537433136.075 * * [misc]simplify: iters left: 5 (21 enodes) 1537433136.082 * * [misc]simplify: iters left: 4 (30 enodes) 1537433136.091 * * [misc]simplify: iters left: 3 (31 enodes) 1537433136.101 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433136.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))) 1537433136.101 * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # 1537433136.101 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433136.102 * * [misc]simplify: iters left: 6 (12 enodes) 1537433136.107 * * [misc]simplify: iters left: 5 (20 enodes) 1537433136.111 * * [misc]simplify: iters left: 4 (29 enodes) 1537433136.115 * * [misc]simplify: iters left: 3 (30 enodes) 1537433136.120 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537433136.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537433136.120 * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # 1537433136.120 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433136.121 * * [misc]simplify: iters left: 6 (12 enodes) 1537433136.123 * * [misc]simplify: iters left: 5 (20 enodes) 1537433136.127 * * [misc]simplify: iters left: 4 (29 enodes) 1537433136.134 * * [misc]simplify: iters left: 3 (30 enodes) 1537433136.146 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537433136.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))))) 1537433136.146 * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # 1537433136.146 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1537433136.147 * * [misc]simplify: iters left: 3 (4 enodes) 1537433136.149 * * [misc]simplify: iters left: 2 (6 enodes) 1537433136.151 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537433136.151 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (/ 1 (sqrt k)))) 1537433136.151 * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # 1537433136.151 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) 1537433136.152 * * [misc]simplify: iters left: 6 (8 enodes) 1537433136.155 * * [misc]simplify: iters left: 5 (12 enodes) 1537433136.160 * * [misc]simplify: iters left: 4 (18 enodes) 1537433136.166 * * [misc]simplify: iters left: 3 (20 enodes) 1537433136.172 * [exit]simplify: Simplified to (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537433136.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537433136.172 * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # 1537433136.172 * [enter]simplify: Simplifying (sqrt (* PI 2)) 1537433136.173 * * [misc]simplify: iters left: 3 (4 enodes) 1537433136.174 * * [misc]simplify: iters left: 2 (5 enodes) 1537433136.176 * [exit]simplify: Simplified to (sqrt (* PI 2)) 1537433136.176 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537433136.176 * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # 1537433136.176 * [enter]simplify: Simplifying (sqrt (sqrt (* (* PI 2) n))) 1537433136.177 * * [misc]simplify: iters left: 6 (7 enodes) 1537433136.180 * * [misc]simplify: iters left: 5 (11 enodes) 1537433136.185 * * [misc]simplify: iters left: 4 (17 enodes) 1537433136.190 * * [misc]simplify: iters left: 3 (19 enodes) 1537433136.193 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI 2) n))) 1537433136.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537433136.194 * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # 1537433136.194 * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # 1537433136.194 * [enter]simplify: Simplifying (sqrt k) 1537433136.194 * * [misc]simplify: iters left: 1 (2 enodes) 1537433136.194 * [exit]simplify: Simplified to (sqrt k) 1537433136.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))) 1537433136.194 * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # 1537433136.194 * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # 1537433136.194 * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # 1537433136.195 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433136.195 * * [misc]simplify: iters left: 6 (13 enodes) 1537433136.199 * * [misc]simplify: iters left: 5 (29 enodes) 1537433136.207 * * [misc]simplify: iters left: 4 (64 enodes) 1537433136.225 * * [misc]simplify: iters left: 3 (142 enodes) 1537433136.294 * * [misc]simplify: iters left: 2 (322 enodes) 1537433136.478 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- (/ k 2))) (log (sqrt k))) 1537433136.478 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (log (* (* 2 n) PI)) (- (/ k 2))) (log (sqrt k)))))) 1537433136.479 * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # 1537433136.479 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k))) 1537433136.480 * * [misc]simplify: iters left: 6 (13 enodes) 1537433136.487 * * [misc]simplify: iters left: 5 (29 enodes) 1537433136.495 * * [misc]simplify: iters left: 4 (64 enodes) 1537433136.512 * * [misc]simplify: iters left: 3 (142 enodes) 1537433136.561 * * [misc]simplify: iters left: 2 (322 enodes) 1537433136.710 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- (/ k 2))) (log (sqrt k))) 1537433136.710 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (log (* (* 2 n) PI)) (- (/ k 2))) (log (sqrt k)))))) 1537433136.711 * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # 1537433136.711 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537433136.712 * * [misc]simplify: iters left: 6 (13 enodes) 1537433136.714 * * [misc]simplify: iters left: 5 (21 enodes) 1537433136.720 * * [misc]simplify: iters left: 4 (44 enodes) 1537433136.736 * * [misc]simplify: iters left: 3 (115 enodes) 1537433136.800 * * [misc]simplify: iters left: 2 (321 enodes) 1537433137.048 * [exit]simplify: Simplified to (- (* (- (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k))) 1537433137.048 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (- (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))))) 1537433137.048 * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # 1537433137.049 * [enter]simplify: Simplifying (- (log (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k))) 1537433137.050 * * [misc]simplify: iters left: 6 (14 enodes) 1537433137.057 * * [misc]simplify: iters left: 5 (26 enodes) 1537433137.066 * * [misc]simplify: iters left: 4 (37 enodes) 1537433137.082 * * [misc]simplify: iters left: 3 (66 enodes) 1537433137.121 * * [misc]simplify: iters left: 2 (186 enodes) 1537433137.301 * [exit]simplify: Simplified to (- (* (/ (- k) 2) (log (* (* n PI) 2))) (log (sqrt k))) 1537433137.302 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (/ (- k) 2) (log (* (* n PI) 2))) (log (sqrt k)))))) 1537433137.302 * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # 1537433137.302 * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # 1537433137.302 * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # 1537433137.302 * [enter]simplify: Simplifying (/ (* (* (/ 1 (pow (* PI (* n 2)) (/ k 2))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1537433137.303 * * [misc]simplify: iters left: 6 (16 enodes) 1537433137.308 * * [misc]simplify: iters left: 5 (37 enodes) 1537433137.321 * * [misc]simplify: iters left: 4 (90 enodes) 1537433137.376 * * [misc]simplify: iters left: 3 (271 enodes) 1537433137.808 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt k)) k) (pow (pow (* (* n PI) 2) (/ k 2)) 3)) 1537433137.808 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (/ (/ (/ 1 (sqrt k)) k) (pow (pow (* (* n PI) 2) (/ k 2)) 3))))) 1537433137.808 * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # 1537433137.808 * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # 1537433137.808 * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # 1537433137.809 * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # 1537433137.809 * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # 1537433137.809 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433137.811 * * [misc]simplify: iters left: 6 (16 enodes) 1537433137.818 * * [misc]simplify: iters left: 5 (28 enodes) 1537433137.830 * * [misc]simplify: iters left: 4 (43 enodes) 1537433137.844 * * [misc]simplify: iters left: 3 (47 enodes) 1537433137.857 * * [misc]simplify: iters left: 2 (50 enodes) 1537433137.877 * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k)))) 1537433137.877 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))) 1537433137.877 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433137.879 * * [misc]simplify: iters left: 6 (14 enodes) 1537433137.884 * * [misc]simplify: iters left: 5 (20 enodes) 1537433137.892 * * [misc]simplify: iters left: 4 (26 enodes) 1537433137.900 * * [misc]simplify: iters left: 3 (27 enodes) 1537433137.908 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537433137.908 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k)))))) 1537433137.909 * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # 1537433137.909 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) 1537433137.910 * * [misc]simplify: iters left: 6 (15 enodes) 1537433137.916 * * [misc]simplify: iters left: 5 (23 enodes) 1537433137.924 * * [misc]simplify: iters left: 4 (31 enodes) 1537433137.936 * * [misc]simplify: iters left: 3 (33 enodes) 1537433137.948 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))))) 1537433137.948 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))) 1537433137.948 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433137.949 * * [misc]simplify: iters left: 6 (14 enodes) 1537433137.952 * * [misc]simplify: iters left: 5 (20 enodes) 1537433137.955 * * [misc]simplify: iters left: 4 (26 enodes) 1537433137.959 * * [misc]simplify: iters left: 3 (27 enodes) 1537433137.964 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537433137.964 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k)))))) 1537433137.964 * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # 1537433137.964 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) 1) 1537433137.965 * * [misc]simplify: iters left: 6 (13 enodes) 1537433137.968 * * [misc]simplify: iters left: 5 (21 enodes) 1537433137.973 * * [misc]simplify: iters left: 4 (33 enodes) 1537433137.978 * * [misc]simplify: iters left: 3 (36 enodes) 1537433137.983 * * [misc]simplify: iters left: 2 (41 enodes) 1537433137.989 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) 1537433137.989 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))) 1537433137.989 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433137.990 * * [misc]simplify: iters left: 6 (13 enodes) 1537433137.992 * * [misc]simplify: iters left: 5 (19 enodes) 1537433137.996 * * [misc]simplify: iters left: 4 (25 enodes) 1537433138.000 * * [misc]simplify: iters left: 3 (26 enodes) 1537433138.009 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537433138.009 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) (/ (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k))))) 1537433138.009 * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # 1537433138.009 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433138.011 * * [misc]simplify: iters left: 6 (15 enodes) 1537433138.016 * * [misc]simplify: iters left: 5 (23 enodes) 1537433138.027 * * [misc]simplify: iters left: 4 (29 enodes) 1537433138.035 * * [misc]simplify: iters left: 3 (30 enodes) 1537433138.045 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433138.045 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))) 1537433138.046 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k))) 1537433138.047 * * [misc]simplify: iters left: 6 (14 enodes) 1537433138.050 * * [misc]simplify: iters left: 5 (20 enodes) 1537433138.053 * * [misc]simplify: iters left: 4 (26 enodes) 1537433138.057 * * [misc]simplify: iters left: 3 (27 enodes) 1537433138.061 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k))) 1537433138.061 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt k)))))) 1537433138.061 * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # 1537433138.061 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433138.062 * * [misc]simplify: iters left: 6 (14 enodes) 1537433138.065 * * [misc]simplify: iters left: 5 (20 enodes) 1537433138.068 * * [misc]simplify: iters left: 4 (26 enodes) 1537433138.072 * * [misc]simplify: iters left: 3 (27 enodes) 1537433138.076 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537433138.076 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))) 1537433138.077 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) 1537433138.077 * * [misc]simplify: iters left: 6 (14 enodes) 1537433138.080 * * [misc]simplify: iters left: 5 (20 enodes) 1537433138.084 * * [misc]simplify: iters left: 4 (26 enodes) 1537433138.088 * * [misc]simplify: iters left: 3 (27 enodes) 1537433138.092 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))) 1537433138.092 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k)))))) 1537433138.092 * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # 1537433138.092 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) 1) 1537433138.093 * * [misc]simplify: iters left: 6 (12 enodes) 1537433138.095 * * [misc]simplify: iters left: 5 (18 enodes) 1537433138.099 * * [misc]simplify: iters left: 4 (26 enodes) 1537433138.107 * * [misc]simplify: iters left: 3 (27 enodes) 1537433138.111 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) 1537433138.111 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))) 1537433138.111 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (sqrt k)) 1537433138.112 * * [misc]simplify: iters left: 6 (13 enodes) 1537433138.114 * * [misc]simplify: iters left: 5 (19 enodes) 1537433138.118 * * [misc]simplify: iters left: 4 (25 enodes) 1537433138.121 * * [misc]simplify: iters left: 3 (26 enodes) 1537433138.125 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k)) 1537433138.125 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (sqrt k))))) 1537433138.125 * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # 1537433138.126 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433138.126 * * [misc]simplify: iters left: 6 (6 enodes) 1537433138.127 * * [misc]simplify: iters left: 5 (10 enodes) 1537433138.129 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537433138.129 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))) 1537433138.129 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433138.130 * * [misc]simplify: iters left: 6 (13 enodes) 1537433138.132 * * [misc]simplify: iters left: 5 (21 enodes) 1537433138.136 * * [misc]simplify: iters left: 4 (30 enodes) 1537433138.140 * * [misc]simplify: iters left: 3 (31 enodes) 1537433138.145 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433138.145 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537433138.145 * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # 1537433138.145 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537433138.146 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.146 * * [misc]simplify: iters left: 3 (7 enodes) 1537433138.147 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537433138.147 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))) 1537433138.148 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433138.149 * * [misc]simplify: iters left: 6 (13 enodes) 1537433138.154 * * [misc]simplify: iters left: 5 (21 enodes) 1537433138.162 * * [misc]simplify: iters left: 4 (30 enodes) 1537433138.171 * * [misc]simplify: iters left: 3 (31 enodes) 1537433138.181 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433138.181 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537433138.181 * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # 1537433138.181 * [enter]simplify: Simplifying (/ 1 1) 1537433138.181 * * [misc]simplify: iters left: 2 (2 enodes) 1537433138.182 * * [misc]simplify: iters left: 1 (4 enodes) 1537433138.183 * [exit]simplify: Simplified to 1 1537433138.183 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537433138.183 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433138.184 * * [misc]simplify: iters left: 6 (12 enodes) 1537433138.188 * * [misc]simplify: iters left: 5 (20 enodes) 1537433138.192 * * [misc]simplify: iters left: 4 (29 enodes) 1537433138.197 * * [misc]simplify: iters left: 3 (30 enodes) 1537433138.202 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537433138.202 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537433138.202 * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # 1537433138.202 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433138.203 * * [misc]simplify: iters left: 6 (6 enodes) 1537433138.204 * * [misc]simplify: iters left: 5 (10 enodes) 1537433138.206 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537433138.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))) 1537433138.206 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k))) 1537433138.206 * * [misc]simplify: iters left: 6 (13 enodes) 1537433138.209 * * [misc]simplify: iters left: 5 (21 enodes) 1537433138.213 * * [misc]simplify: iters left: 4 (30 enodes) 1537433138.219 * * [misc]simplify: iters left: 3 (31 enodes) 1537433138.226 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433138.226 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537433138.226 * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # 1537433138.226 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537433138.227 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.227 * * [misc]simplify: iters left: 3 (7 enodes) 1537433138.228 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537433138.228 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))) 1537433138.229 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) 1537433138.229 * * [misc]simplify: iters left: 6 (13 enodes) 1537433138.232 * * [misc]simplify: iters left: 5 (21 enodes) 1537433138.235 * * [misc]simplify: iters left: 4 (30 enodes) 1537433138.240 * * [misc]simplify: iters left: 3 (31 enodes) 1537433138.245 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))) 1537433138.245 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))) 1537433138.245 * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # 1537433138.245 * [enter]simplify: Simplifying (/ 1 1) 1537433138.245 * * [misc]simplify: iters left: 2 (2 enodes) 1537433138.245 * * [misc]simplify: iters left: 1 (4 enodes) 1537433138.246 * [exit]simplify: Simplified to 1 1537433138.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))) 1537433138.246 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1537433138.247 * * [misc]simplify: iters left: 6 (12 enodes) 1537433138.249 * * [misc]simplify: iters left: 5 (20 enodes) 1537433138.254 * * [misc]simplify: iters left: 4 (29 enodes) 1537433138.262 * * [misc]simplify: iters left: 3 (30 enodes) 1537433138.272 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2))) 1537433138.272 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))) 1537433138.272 * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # 1537433138.272 * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # 1537433138.272 * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # 1537433138.272 * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # 1537433138.272 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537433138.273 * * [misc]simplify: iters left: 2 (3 enodes) 1537433138.274 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537433138.274 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1537433138.274 * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # 1537433138.274 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537433138.274 * * [misc]simplify: iters left: 2 (3 enodes) 1537433138.275 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537433138.275 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1537433138.275 * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # 1537433138.276 * [enter]simplify: Simplifying (sqrt k) 1537433138.276 * * [misc]simplify: iters left: 1 (2 enodes) 1537433138.277 * [exit]simplify: Simplified to (sqrt k) 1537433138.277 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k)))) 1537433138.277 * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # 1537433138.277 * [enter]simplify: Simplifying (* (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2))))) 1537433138.278 * * [misc]simplify: iters left: 6 (12 enodes) 1537433138.284 * * [misc]simplify: iters left: 5 (18 enodes) 1537433138.290 * * [misc]simplify: iters left: 4 (24 enodes) 1537433138.298 * * [misc]simplify: iters left: 3 (25 enodes) 1537433138.306 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) 1537433138.306 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2)))) (cbrt (/ 1 (pow (* (* n PI) 2) (/ k 2))))) (/ (sqrt k) (cbrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))))))) 1537433138.306 * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # 1537433138.306 * [enter]simplify: Simplifying (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))) 1537433138.307 * * [misc]simplify: iters left: 6 (11 enodes) 1537433138.311 * * [misc]simplify: iters left: 5 (17 enodes) 1537433138.317 * * [misc]simplify: iters left: 4 (23 enodes) 1537433138.324 * * [misc]simplify: iters left: 3 (24 enodes) 1537433138.332 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) 1537433138.332 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ 1 (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt k) (sqrt (/ 1 (pow (* PI (* n 2)) (/ k 2)))))))) 1537433138.332 * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # 1537433138.332 * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # 1537433138.332 * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # 1537433138.332 * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # 1537433138.333 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433138.333 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.335 * * [misc]simplify: iters left: 3 (9 enodes) 1537433138.339 * * [misc]simplify: iters left: 2 (15 enodes) 1537433138.344 * * [misc]simplify: iters left: 1 (17 enodes) 1537433138.346 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433138.346 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))) 1537433138.346 * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # 1537433138.346 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433138.347 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.348 * * [misc]simplify: iters left: 3 (9 enodes) 1537433138.350 * * [misc]simplify: iters left: 2 (15 enodes) 1537433138.352 * * [misc]simplify: iters left: 1 (17 enodes) 1537433138.354 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433138.355 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))) 1537433138.355 * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # 1537433138.355 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433138.355 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.356 * * [misc]simplify: iters left: 3 (9 enodes) 1537433138.358 * * [misc]simplify: iters left: 2 (15 enodes) 1537433138.360 * * [misc]simplify: iters left: 1 (17 enodes) 1537433138.363 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433138.363 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))) 1537433138.363 * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # 1537433138.363 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433138.363 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.364 * * [misc]simplify: iters left: 3 (9 enodes) 1537433138.366 * * [misc]simplify: iters left: 2 (15 enodes) 1537433138.369 * * [misc]simplify: iters left: 1 (17 enodes) 1537433138.371 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433138.371 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433138.371 * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # 1537433138.372 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433138.372 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.374 * * [misc]simplify: iters left: 3 (9 enodes) 1537433138.378 * * [misc]simplify: iters left: 2 (15 enodes) 1537433138.383 * * [misc]simplify: iters left: 1 (17 enodes) 1537433138.388 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433138.388 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433138.388 * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # 1537433138.389 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433138.391 * * [misc]simplify: iters left: 4 (5 enodes) 1537433138.393 * * [misc]simplify: iters left: 3 (9 enodes) 1537433138.397 * * [misc]simplify: iters left: 2 (15 enodes) 1537433138.402 * * [misc]simplify: iters left: 1 (17 enodes) 1537433138.407 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433138.407 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) 1537433138.408 * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # 1537433138.408 * [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)))))))))))))) 1537433138.408 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433138.408 * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # 1537433138.408 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1537433138.408 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433138.408 * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # 1537433138.409 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537433138.409 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537433138.409 * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # 1537433138.409 * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 k) (- +nan.0))))))))))))))))))) 1537433138.409 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1537433138.409 * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # 1537433138.409 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)))))))) 1537433138.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1537433138.410 * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # 1537433138.410 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1537433138.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1537433138.410 * * * [misc]progress: adding candidates to table 1537433140.749 * * [misc]progress: iteration 4 / 4 1537433140.749 * * * [misc]progress: picking best candidate 1537433140.831 * * * * [misc]pick: Picked # 1537433140.831 * * * [misc]progress: localizing error 1537433140.849 * * * [misc]progress: generating rewritten candidates 1537433140.849 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 1537433140.861 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1537433140.873 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1537433140.885 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1537433140.971 * * * [misc]progress: generating series expansions 1537433140.971 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 1537433140.972 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537433140.972 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433140.972 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433140.972 * [misc]taylor: Taking taylor expansion of 2 in n 1537433140.972 * [misc]backup-simplify: Simplify 2 into 2 1537433140.972 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433140.972 * [misc]taylor: Taking taylor expansion of n in n 1537433140.972 * [misc]backup-simplify: Simplify 0 into 0 1537433140.972 * [misc]backup-simplify: Simplify 1 into 1 1537433140.972 * [misc]taylor: Taking taylor expansion of PI in n 1537433140.972 * [misc]backup-simplify: Simplify PI into PI 1537433140.972 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433140.972 * [misc]taylor: Taking taylor expansion of 2 in n 1537433140.972 * [misc]backup-simplify: Simplify 2 into 2 1537433140.972 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433140.972 * [misc]taylor: Taking taylor expansion of n in n 1537433140.972 * [misc]backup-simplify: Simplify 0 into 0 1537433140.972 * [misc]backup-simplify: Simplify 1 into 1 1537433140.972 * [misc]taylor: Taking taylor expansion of PI in n 1537433140.972 * [misc]backup-simplify: Simplify PI into PI 1537433140.973 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433140.974 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433140.974 * [misc]backup-simplify: Simplify 0 into 0 1537433140.974 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433140.975 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433140.975 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433140.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433140.978 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433140.978 * [misc]backup-simplify: Simplify 0 into 0 1537433140.979 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433140.981 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433140.981 * [misc]backup-simplify: Simplify 0 into 0 1537433140.983 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433140.986 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433140.986 * [misc]backup-simplify: Simplify 0 into 0 1537433140.988 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433140.991 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433140.991 * [misc]backup-simplify: Simplify 0 into 0 1537433140.995 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433140.999 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433140.999 * [misc]backup-simplify: Simplify 0 into 0 1537433141.003 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433141.007 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433141.008 * [misc]backup-simplify: Simplify 0 into 0 1537433141.008 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433141.008 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537433141.008 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433141.008 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.008 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.008 * [misc]backup-simplify: Simplify 2 into 2 1537433141.008 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.008 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.008 * [misc]backup-simplify: Simplify PI into PI 1537433141.008 * [misc]taylor: Taking taylor expansion of n in n 1537433141.008 * [misc]backup-simplify: Simplify 0 into 0 1537433141.008 * [misc]backup-simplify: Simplify 1 into 1 1537433141.009 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.009 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.009 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.009 * [misc]backup-simplify: Simplify 2 into 2 1537433141.009 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.009 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.009 * [misc]backup-simplify: Simplify PI into PI 1537433141.009 * [misc]taylor: Taking taylor expansion of n in n 1537433141.009 * [misc]backup-simplify: Simplify 0 into 0 1537433141.009 * [misc]backup-simplify: Simplify 1 into 1 1537433141.009 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.010 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.010 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.012 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433141.012 * [misc]backup-simplify: Simplify 0 into 0 1537433141.013 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.014 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.015 * [misc]backup-simplify: Simplify 0 into 0 1537433141.016 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.018 * [misc]backup-simplify: Simplify 0 into 0 1537433141.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.023 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.023 * [misc]backup-simplify: Simplify 0 into 0 1537433141.025 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.028 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.028 * [misc]backup-simplify: Simplify 0 into 0 1537433141.031 * [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 1537433141.034 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.034 * [misc]backup-simplify: Simplify 0 into 0 1537433141.035 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433141.035 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537433141.035 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433141.035 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.035 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.035 * [misc]backup-simplify: Simplify -2 into -2 1537433141.035 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.035 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.035 * [misc]backup-simplify: Simplify PI into PI 1537433141.035 * [misc]taylor: Taking taylor expansion of n in n 1537433141.035 * [misc]backup-simplify: Simplify 0 into 0 1537433141.035 * [misc]backup-simplify: Simplify 1 into 1 1537433141.036 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.036 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.036 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.036 * [misc]backup-simplify: Simplify -2 into -2 1537433141.036 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.036 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.036 * [misc]backup-simplify: Simplify PI into PI 1537433141.036 * [misc]taylor: Taking taylor expansion of n in n 1537433141.036 * [misc]backup-simplify: Simplify 0 into 0 1537433141.036 * [misc]backup-simplify: Simplify 1 into 1 1537433141.036 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.037 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.037 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.038 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.039 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433141.039 * [misc]backup-simplify: Simplify 0 into 0 1537433141.040 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.041 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.041 * [misc]backup-simplify: Simplify 0 into 0 1537433141.043 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.045 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.045 * [misc]backup-simplify: Simplify 0 into 0 1537433141.047 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.049 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.049 * [misc]backup-simplify: Simplify 0 into 0 1537433141.051 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.054 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.054 * [misc]backup-simplify: Simplify 0 into 0 1537433141.057 * [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 1537433141.066 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.066 * [misc]backup-simplify: Simplify 0 into 0 1537433141.067 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433141.067 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1) 1537433141.067 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537433141.067 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433141.067 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.067 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.067 * [misc]backup-simplify: Simplify 2 into 2 1537433141.067 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.067 * [misc]taylor: Taking taylor expansion of n in n 1537433141.068 * [misc]backup-simplify: Simplify 0 into 0 1537433141.068 * [misc]backup-simplify: Simplify 1 into 1 1537433141.068 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.068 * [misc]backup-simplify: Simplify PI into PI 1537433141.068 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.068 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.068 * [misc]backup-simplify: Simplify 2 into 2 1537433141.068 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.068 * [misc]taylor: Taking taylor expansion of n in n 1537433141.068 * [misc]backup-simplify: Simplify 0 into 0 1537433141.068 * [misc]backup-simplify: Simplify 1 into 1 1537433141.068 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.068 * [misc]backup-simplify: Simplify PI into PI 1537433141.068 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.068 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433141.069 * [misc]backup-simplify: Simplify 0 into 0 1537433141.069 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.070 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433141.070 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.071 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433141.073 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433141.073 * [misc]backup-simplify: Simplify 0 into 0 1537433141.075 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.076 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433141.077 * [misc]backup-simplify: Simplify 0 into 0 1537433141.079 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433141.081 * [misc]backup-simplify: Simplify 0 into 0 1537433141.084 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.087 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433141.087 * [misc]backup-simplify: Simplify 0 into 0 1537433141.091 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.095 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433141.095 * [misc]backup-simplify: Simplify 0 into 0 1537433141.099 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433141.104 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433141.104 * [misc]backup-simplify: Simplify 0 into 0 1537433141.104 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433141.104 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537433141.104 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433141.104 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.104 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.104 * [misc]backup-simplify: Simplify 2 into 2 1537433141.104 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.104 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.104 * [misc]backup-simplify: Simplify PI into PI 1537433141.104 * [misc]taylor: Taking taylor expansion of n in n 1537433141.104 * [misc]backup-simplify: Simplify 0 into 0 1537433141.104 * [misc]backup-simplify: Simplify 1 into 1 1537433141.105 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.105 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.105 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.105 * [misc]backup-simplify: Simplify 2 into 2 1537433141.105 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.105 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.105 * [misc]backup-simplify: Simplify PI into PI 1537433141.105 * [misc]taylor: Taking taylor expansion of n in n 1537433141.105 * [misc]backup-simplify: Simplify 0 into 0 1537433141.105 * [misc]backup-simplify: Simplify 1 into 1 1537433141.105 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.106 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.106 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.107 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.108 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433141.108 * [misc]backup-simplify: Simplify 0 into 0 1537433141.109 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.110 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.111 * [misc]backup-simplify: Simplify 0 into 0 1537433141.112 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.114 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.114 * [misc]backup-simplify: Simplify 0 into 0 1537433141.116 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.118 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.118 * [misc]backup-simplify: Simplify 0 into 0 1537433141.121 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.124 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.124 * [misc]backup-simplify: Simplify 0 into 0 1537433141.127 * [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 1537433141.129 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.129 * [misc]backup-simplify: Simplify 0 into 0 1537433141.129 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433141.129 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537433141.129 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433141.129 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.129 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.129 * [misc]backup-simplify: Simplify -2 into -2 1537433141.129 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.129 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.129 * [misc]backup-simplify: Simplify PI into PI 1537433141.129 * [misc]taylor: Taking taylor expansion of n in n 1537433141.129 * [misc]backup-simplify: Simplify 0 into 0 1537433141.129 * [misc]backup-simplify: Simplify 1 into 1 1537433141.130 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.130 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.130 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.130 * [misc]backup-simplify: Simplify -2 into -2 1537433141.130 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.130 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.130 * [misc]backup-simplify: Simplify PI into PI 1537433141.130 * [misc]taylor: Taking taylor expansion of n in n 1537433141.130 * [misc]backup-simplify: Simplify 0 into 0 1537433141.130 * [misc]backup-simplify: Simplify 1 into 1 1537433141.130 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.130 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.131 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.131 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.132 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433141.132 * [misc]backup-simplify: Simplify 0 into 0 1537433141.133 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.133 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.133 * [misc]backup-simplify: Simplify 0 into 0 1537433141.135 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.136 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.137 * [misc]backup-simplify: Simplify 0 into 0 1537433141.139 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.141 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.141 * [misc]backup-simplify: Simplify 0 into 0 1537433141.143 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.145 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.145 * [misc]backup-simplify: Simplify 0 into 0 1537433141.146 * [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 1537433141.149 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.149 * [misc]backup-simplify: Simplify 0 into 0 1537433141.149 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433141.149 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1) 1537433141.149 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537433141.149 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537433141.149 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.149 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.149 * [misc]backup-simplify: Simplify 2 into 2 1537433141.149 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.149 * [misc]taylor: Taking taylor expansion of n in n 1537433141.149 * [misc]backup-simplify: Simplify 0 into 0 1537433141.149 * [misc]backup-simplify: Simplify 1 into 1 1537433141.149 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.149 * [misc]backup-simplify: Simplify PI into PI 1537433141.150 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.150 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.150 * [misc]backup-simplify: Simplify 2 into 2 1537433141.150 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.150 * [misc]taylor: Taking taylor expansion of n in n 1537433141.150 * [misc]backup-simplify: Simplify 0 into 0 1537433141.150 * [misc]backup-simplify: Simplify 1 into 1 1537433141.150 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.150 * [misc]backup-simplify: Simplify PI into PI 1537433141.150 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.150 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433141.150 * [misc]backup-simplify: Simplify 0 into 0 1537433141.150 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.151 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433141.151 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.152 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433141.152 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433141.153 * [misc]backup-simplify: Simplify 0 into 0 1537433141.153 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.154 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537433141.155 * [misc]backup-simplify: Simplify 0 into 0 1537433141.156 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.157 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537433141.157 * [misc]backup-simplify: Simplify 0 into 0 1537433141.159 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.161 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537433141.161 * [misc]backup-simplify: Simplify 0 into 0 1537433141.163 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537433141.165 * [misc]backup-simplify: Simplify 0 into 0 1537433141.167 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537433141.170 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537433141.170 * [misc]backup-simplify: Simplify 0 into 0 1537433141.171 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537433141.171 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537433141.171 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537433141.171 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.171 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.171 * [misc]backup-simplify: Simplify 2 into 2 1537433141.171 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.171 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.171 * [misc]backup-simplify: Simplify PI into PI 1537433141.171 * [misc]taylor: Taking taylor expansion of n in n 1537433141.171 * [misc]backup-simplify: Simplify 0 into 0 1537433141.171 * [misc]backup-simplify: Simplify 1 into 1 1537433141.171 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.171 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.171 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.171 * [misc]backup-simplify: Simplify 2 into 2 1537433141.171 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.171 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.171 * [misc]backup-simplify: Simplify PI into PI 1537433141.171 * [misc]taylor: Taking taylor expansion of n in n 1537433141.171 * [misc]backup-simplify: Simplify 0 into 0 1537433141.171 * [misc]backup-simplify: Simplify 1 into 1 1537433141.171 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.172 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.172 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.173 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.173 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433141.173 * [misc]backup-simplify: Simplify 0 into 0 1537433141.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.175 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.175 * [misc]backup-simplify: Simplify 0 into 0 1537433141.176 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.177 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.177 * [misc]backup-simplify: Simplify 0 into 0 1537433141.178 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.179 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.179 * [misc]backup-simplify: Simplify 0 into 0 1537433141.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.182 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.182 * [misc]backup-simplify: Simplify 0 into 0 1537433141.185 * [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 1537433141.188 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.188 * [misc]backup-simplify: Simplify 0 into 0 1537433141.188 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537433141.188 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537433141.188 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537433141.188 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.188 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.188 * [misc]backup-simplify: Simplify -2 into -2 1537433141.188 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.188 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.188 * [misc]backup-simplify: Simplify PI into PI 1537433141.188 * [misc]taylor: Taking taylor expansion of n in n 1537433141.188 * [misc]backup-simplify: Simplify 0 into 0 1537433141.188 * [misc]backup-simplify: Simplify 1 into 1 1537433141.189 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.189 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.189 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.189 * [misc]backup-simplify: Simplify -2 into -2 1537433141.189 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.189 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.189 * [misc]backup-simplify: Simplify PI into PI 1537433141.189 * [misc]taylor: Taking taylor expansion of n in n 1537433141.189 * [misc]backup-simplify: Simplify 0 into 0 1537433141.189 * [misc]backup-simplify: Simplify 1 into 1 1537433141.189 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.189 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.189 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.190 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.190 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433141.190 * [misc]backup-simplify: Simplify 0 into 0 1537433141.191 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.192 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.192 * [misc]backup-simplify: Simplify 0 into 0 1537433141.193 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.194 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.194 * [misc]backup-simplify: Simplify 0 into 0 1537433141.195 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.197 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.197 * [misc]backup-simplify: Simplify 0 into 0 1537433141.198 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.200 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537433141.200 * [misc]backup-simplify: Simplify 0 into 0 1537433141.201 * [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 1537433141.203 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537433141.203 * [misc]backup-simplify: Simplify 0 into 0 1537433141.204 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537433141.204 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1537433141.204 * [misc]backup-simplify: Simplify (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) into (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) 1537433141.204 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in (k n) around 0 1537433141.204 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in n 1537433141.204 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537433141.204 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.204 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.204 * [misc]backup-simplify: Simplify 2 into 2 1537433141.205 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.205 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.205 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537433141.205 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI))) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 k)) k) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.205 * [misc]taylor: Taking taylor expansion of k in n 1537433141.205 * [misc]backup-simplify: Simplify k into k 1537433141.205 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.205 * [misc]backup-simplify: Simplify 2 into 2 1537433141.205 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.205 * [misc]taylor: Taking taylor expansion of n in n 1537433141.205 * [misc]backup-simplify: Simplify 0 into 0 1537433141.205 * [misc]backup-simplify: Simplify 1 into 1 1537433141.205 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.205 * [misc]backup-simplify: Simplify PI into PI 1537433141.206 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.206 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433141.206 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.207 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433141.207 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.207 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537433141.207 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.208 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537433141.208 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537433141.208 * [misc]taylor: Taking taylor expansion of k in n 1537433141.208 * [misc]backup-simplify: Simplify k into k 1537433141.208 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.208 * [misc]taylor: Taking taylor expansion of n in n 1537433141.208 * [misc]backup-simplify: Simplify 0 into 0 1537433141.208 * [misc]backup-simplify: Simplify 1 into 1 1537433141.208 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.208 * [misc]backup-simplify: Simplify PI into PI 1537433141.209 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) into (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) 1537433141.209 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.209 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.210 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI) into (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI) 1537433141.210 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.211 * [misc]backup-simplify: Simplify (/ (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) PI)) 1537433141.211 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.211 * [misc]backup-simplify: Simplify 2 into 2 1537433141.211 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.211 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.211 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537433141.211 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI))) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 k)) k) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433141.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433141.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.211 * [misc]taylor: Taking taylor expansion of k in k 1537433141.212 * [misc]backup-simplify: Simplify 0 into 0 1537433141.212 * [misc]backup-simplify: Simplify 1 into 1 1537433141.212 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537433141.212 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537433141.212 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.212 * [misc]backup-simplify: Simplify 2 into 2 1537433141.212 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433141.212 * [misc]taylor: Taking taylor expansion of n in k 1537433141.212 * [misc]backup-simplify: Simplify n into n 1537433141.212 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.212 * [misc]backup-simplify: Simplify PI into PI 1537433141.212 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433141.212 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537433141.212 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537433141.212 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433141.212 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537433141.212 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537433141.212 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537433141.213 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537433141.213 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537433141.214 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537433141.214 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433141.214 * [misc]taylor: Taking taylor expansion of k in k 1537433141.214 * [misc]backup-simplify: Simplify 0 into 0 1537433141.214 * [misc]backup-simplify: Simplify 1 into 1 1537433141.214 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433141.214 * [misc]taylor: Taking taylor expansion of n in k 1537433141.214 * [misc]backup-simplify: Simplify n into n 1537433141.214 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.214 * [misc]backup-simplify: Simplify PI into PI 1537433141.214 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537433141.214 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1)))) into (* 1/2 (log (* 2 (* n PI)))) 1537433141.214 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 1/2 (log (* 2 (* n PI)))) 0)) into 1 1537433141.214 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433141.215 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537433141.215 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.215 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537433141.215 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)))) in k 1537433141.215 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537433141.215 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433141.215 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.215 * [misc]backup-simplify: Simplify 2 into 2 1537433141.215 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.215 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537433141.215 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI))) in k 1537433141.215 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (* n PI)) (* 1/2 k)) k) (* n PI)) in k 1537433141.215 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 k)) k) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433141.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.216 * [misc]taylor: Taking taylor expansion of k in k 1537433141.216 * [misc]backup-simplify: Simplify 0 into 0 1537433141.216 * [misc]backup-simplify: Simplify 1 into 1 1537433141.216 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.216 * [misc]backup-simplify: Simplify 2 into 2 1537433141.216 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433141.216 * [misc]taylor: Taking taylor expansion of n in k 1537433141.216 * [misc]backup-simplify: Simplify n into n 1537433141.216 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.216 * [misc]backup-simplify: Simplify PI into PI 1537433141.216 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433141.216 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537433141.216 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537433141.216 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537433141.216 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537433141.216 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537433141.217 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537433141.217 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537433141.218 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537433141.218 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1537433141.218 * [misc]backup-simplify: Simplify (exp 0) into 1 1537433141.218 * [misc]taylor: Taking taylor expansion of k in k 1537433141.218 * [misc]backup-simplify: Simplify 0 into 0 1537433141.218 * [misc]backup-simplify: Simplify 1 into 1 1537433141.218 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537433141.218 * [misc]taylor: Taking taylor expansion of n in k 1537433141.218 * [misc]backup-simplify: Simplify n into n 1537433141.218 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.218 * [misc]backup-simplify: Simplify PI into PI 1537433141.218 * [misc]backup-simplify: Simplify (* 1 0) into 0 1537433141.218 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1)))) into (* 1/2 (log (* 2 (* n PI)))) 1537433141.219 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 1/2 (log (* 2 (* n PI)))) 0)) into 1 1537433141.219 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537433141.219 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537433141.219 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.219 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537433141.219 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537433141.219 * [misc]taylor: Taking taylor expansion of 0 in n 1537433141.219 * [misc]backup-simplify: Simplify 0 into 0 1537433141.219 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537433141.220 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* n PI))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) 1537433141.220 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) in n 1537433141.220 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))) in n 1537433141.220 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.220 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.220 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* n PI))) in n 1537433141.220 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537433141.220 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.220 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.220 * [misc]backup-simplify: Simplify 2 into 2 1537433141.220 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.220 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.220 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.220 * [misc]taylor: Taking taylor expansion of n in n 1537433141.220 * [misc]backup-simplify: Simplify 0 into 0 1537433141.220 * [misc]backup-simplify: Simplify 1 into 1 1537433141.220 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.220 * [misc]backup-simplify: Simplify PI into PI 1537433141.221 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.221 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537433141.221 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.222 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537433141.222 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) 1537433141.223 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI)) 1537433141.223 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537433141.224 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537433141.224 * [misc]backup-simplify: Simplify 0 into 0 1537433141.225 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.225 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1537433141.227 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1537433141.227 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537433141.227 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1537433141.229 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1537433141.229 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* 1/2 (log (* 2 (* n PI)))) 1) (* (* 1/8 (pow (log (* 2 (* n PI))) 2)) 0))) into (* 1/2 (log (* 2 (* n PI)))) 1537433141.229 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537433141.230 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (log (* 2 (* n PI)))) (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) 1537433141.230 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (pow (/ +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2)))))) 1537433141.231 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433141.231 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537433141.233 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2))))))) (+ (* 0 (/ +nan.0 (* n PI))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) 1537433141.233 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.233 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.233 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.233 * [misc]backup-simplify: Simplify 2 into 2 1537433141.233 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.233 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.233 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of n in n 1537433141.233 * [misc]backup-simplify: Simplify 0 into 0 1537433141.233 * [misc]backup-simplify: Simplify 1 into 1 1537433141.233 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537433141.233 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.233 * [misc]backup-simplify: Simplify PI into PI 1537433141.234 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.234 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.234 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537433141.235 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537433141.235 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2))) 1537433141.235 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n 1537433141.235 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n 1537433141.235 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.235 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.235 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n 1537433141.236 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433141.236 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.236 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.236 * [misc]backup-simplify: Simplify 2 into 2 1537433141.236 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.236 * [misc]taylor: Taking taylor expansion of n in n 1537433141.236 * [misc]backup-simplify: Simplify 0 into 0 1537433141.236 * [misc]backup-simplify: Simplify 1 into 1 1537433141.236 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.236 * [misc]backup-simplify: Simplify PI into PI 1537433141.236 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.236 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433141.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.237 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433141.237 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.237 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537433141.237 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.237 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.237 * [misc]backup-simplify: Simplify 2 into 2 1537433141.237 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.237 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.238 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.238 * [misc]taylor: Taking taylor expansion of n in n 1537433141.238 * [misc]backup-simplify: Simplify 0 into 0 1537433141.238 * [misc]backup-simplify: Simplify 1 into 1 1537433141.238 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.238 * [misc]backup-simplify: Simplify PI into PI 1537433141.238 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.238 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.238 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537433141.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.239 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537433141.240 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.240 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) 1537433141.241 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433141.241 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433141.242 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537433141.243 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537433141.245 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537433141.246 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 2))))) into 0 1537433141.247 * [misc]backup-simplify: Simplify (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) into (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) 1537433141.248 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537433141.249 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537433141.251 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537433141.252 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537433141.253 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433141.254 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433141.255 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537433141.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1537433141.257 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 1537433141.257 * [misc]backup-simplify: Simplify (- 0) into 0 1537433141.257 * [misc]backup-simplify: Simplify 0 into 0 1537433141.258 * [misc]backup-simplify: Simplify 0 into 0 1537433141.258 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.259 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1537433141.261 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1537433141.261 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537433141.262 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1537433141.264 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 3) 6)) (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log (* 2 (* n PI))) 3)) 1537433141.265 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* 1/2 (log (* 2 (* n PI)))) 0) (+ (* (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1) (* (* 1/48 (pow (log (* 2 (* n PI))) 3)) 0)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1537433141.266 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.267 * [misc]backup-simplify: Simplify (- (/ (* 1/8 (pow (log (* 2 (* n PI))) 2)) (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))) (* (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (/ 0 (* n PI))))) into (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) 1537433141.269 * [misc]backup-simplify: Simplify (/ (- (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) (+ (* 2 (* (/ +nan.0 (* n PI)) (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2)))))))))) (* 2 0)) into (* +nan.0 (- (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow n 3) (pow PI 3)))))))) 1537433141.269 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433141.270 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537433141.278 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (- (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (* n PI))) (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow n 3) (pow PI 3))))))))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ (log (* 2 (* n PI))) (* n PI))) (* +nan.0 (/ 1 (* (pow n 2) (pow PI 2))))))) (+ (* 0 (/ +nan.0 (* n PI))) (* 0 0)))) into (- (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))))) 1537433141.278 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))))) in n 1537433141.278 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))))))) in n 1537433141.278 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537433141.278 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.278 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.278 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537433141.278 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433141.278 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.278 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.278 * [misc]backup-simplify: Simplify 2 into 2 1537433141.278 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.278 * [misc]taylor: Taking taylor expansion of n in n 1537433141.278 * [misc]backup-simplify: Simplify 0 into 0 1537433141.278 * [misc]backup-simplify: Simplify 1 into 1 1537433141.278 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.278 * [misc]backup-simplify: Simplify PI into PI 1537433141.279 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.279 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433141.280 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.280 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433141.281 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.281 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537433141.281 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.281 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.281 * [misc]backup-simplify: Simplify 2 into 2 1537433141.281 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.281 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.281 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537433141.281 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537433141.281 * [misc]taylor: Taking taylor expansion of n in n 1537433141.281 * [misc]backup-simplify: Simplify 0 into 0 1537433141.281 * [misc]backup-simplify: Simplify 1 into 1 1537433141.281 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537433141.281 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.281 * [misc]backup-simplify: Simplify PI into PI 1537433141.282 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.282 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.282 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.282 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537433141.283 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537433141.283 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.284 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) 1537433141.284 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))))) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.284 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.284 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.284 * [misc]backup-simplify: Simplify 2 into 2 1537433141.284 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.284 * [misc]taylor: Taking taylor expansion of n in n 1537433141.284 * [misc]backup-simplify: Simplify 0 into 0 1537433141.284 * [misc]backup-simplify: Simplify 1 into 1 1537433141.284 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.284 * [misc]backup-simplify: Simplify PI into PI 1537433141.285 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.285 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537433141.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.286 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537433141.286 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.287 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.287 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537433141.287 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.287 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.287 * [misc]backup-simplify: Simplify 2 into 2 1537433141.287 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.287 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.287 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537433141.287 * [misc]taylor: Taking taylor expansion of n in n 1537433141.287 * [misc]backup-simplify: Simplify 0 into 0 1537433141.287 * [misc]backup-simplify: Simplify 1 into 1 1537433141.287 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.287 * [misc]backup-simplify: Simplify PI into PI 1537433141.288 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.288 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537433141.289 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537433141.289 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537433141.289 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537433141.290 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537433141.290 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537433141.291 * [misc]backup-simplify: Simplify (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) into (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) 1537433141.291 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))))) in n 1537433141.291 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) in n 1537433141.291 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.291 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.291 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1537433141.291 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1537433141.291 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.291 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.291 * [misc]backup-simplify: Simplify 2 into 2 1537433141.291 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.292 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.292 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537433141.292 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537433141.292 * [misc]taylor: Taking taylor expansion of n in n 1537433141.292 * [misc]backup-simplify: Simplify 0 into 0 1537433141.292 * [misc]backup-simplify: Simplify 1 into 1 1537433141.292 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537433141.292 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.292 * [misc]backup-simplify: Simplify PI into PI 1537433141.292 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.292 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.292 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.293 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537433141.293 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) 1537433141.294 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537433141.294 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 3))) into (/ 1 (* (sqrt 2) (pow PI 3))) 1537433141.295 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537433141.296 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537433141.298 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433141.298 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433141.298 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433141.299 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537433141.300 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537433141.302 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537433141.303 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))))) into 0 1537433141.304 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) into (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 1537433141.305 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.306 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433141.307 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537433141.307 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433141.307 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433141.308 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1537433141.308 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537433141.308 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537433141.309 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537433141.310 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 1537433141.311 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433141.312 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537433141.313 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1537433141.315 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1537433141.318 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))) (* 0 (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1537433141.321 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 3)))))) into 0 1537433141.321 * [misc]backup-simplify: Simplify (- 0) into 0 1537433141.324 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537433141.333 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537433141.342 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537433141.351 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537433141.359 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537433141.375 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1537433141.376 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (/ (pow (* PI (* (/ 1 n) 2)) 1/2) (sqrt (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))))) into (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) 1537433141.376 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in (k n) around 0 1537433141.376 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in n 1537433141.376 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537433141.376 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.376 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.376 * [misc]backup-simplify: Simplify 2 into 2 1537433141.376 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.377 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.377 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537433141.377 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k))) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.377 * [misc]taylor: Taking taylor expansion of k in n 1537433141.377 * [misc]backup-simplify: Simplify k into k 1537433141.377 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1537433141.377 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.377 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.378 * [misc]backup-simplify: Simplify 2 into 2 1537433141.378 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.378 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.378 * [misc]backup-simplify: Simplify PI into PI 1537433141.378 * [misc]taylor: Taking taylor expansion of n in n 1537433141.378 * [misc]backup-simplify: Simplify 0 into 0 1537433141.378 * [misc]backup-simplify: Simplify 1 into 1 1537433141.378 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.378 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.379 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.380 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.380 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433141.381 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.381 * [misc]taylor: Taking taylor expansion of n in n 1537433141.381 * [misc]backup-simplify: Simplify 0 into 0 1537433141.381 * [misc]backup-simplify: Simplify 1 into 1 1537433141.381 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537433141.381 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.381 * [misc]backup-simplify: Simplify PI into PI 1537433141.381 * [misc]taylor: Taking taylor expansion of k in n 1537433141.381 * [misc]backup-simplify: Simplify k into k 1537433141.382 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1537433141.383 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433141.387 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433141.387 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1537433141.388 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.389 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537433141.391 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433141.392 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.392 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537433141.392 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k)) 1537433141.392 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.393 * [misc]backup-simplify: Simplify (/ (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k)) (* 2 (sqrt 0))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* PI k))) 1537433141.393 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.393 * [misc]backup-simplify: Simplify 2 into 2 1537433141.393 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.393 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.393 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537433141.393 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k))) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537433141.393 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537433141.394 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433141.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.394 * [misc]taylor: Taking taylor expansion of k in k 1537433141.394 * [misc]backup-simplify: Simplify 0 into 0 1537433141.394 * [misc]backup-simplify: Simplify 1 into 1 1537433141.394 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537433141.394 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537433141.394 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537433141.394 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.394 * [misc]backup-simplify: Simplify 2 into 2 1537433141.394 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433141.394 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.394 * [misc]backup-simplify: Simplify PI into PI 1537433141.394 * [misc]taylor: Taking taylor expansion of n in k 1537433141.394 * [misc]backup-simplify: Simplify n into n 1537433141.394 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433141.394 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537433141.394 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537433141.394 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537433141.394 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537433141.394 * [misc]taylor: Taking taylor expansion of n in k 1537433141.394 * [misc]backup-simplify: Simplify n into n 1537433141.394 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537433141.394 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.394 * [misc]backup-simplify: Simplify PI into PI 1537433141.394 * [misc]taylor: Taking taylor expansion of k in k 1537433141.394 * [misc]backup-simplify: Simplify 0 into 0 1537433141.394 * [misc]backup-simplify: Simplify 1 into 1 1537433141.395 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) into (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) 1537433141.395 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537433141.395 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537433141.395 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) into (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) 1537433141.396 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.396 * [misc]backup-simplify: Simplify (/ (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) 1537433141.396 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)))) in k 1537433141.396 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537433141.396 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537433141.396 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.396 * [misc]backup-simplify: Simplify 2 into 2 1537433141.396 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.396 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.396 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537433141.397 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k))) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) (* PI k)) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (/ 1/2 k)) n) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537433141.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.397 * [misc]taylor: Taking taylor expansion of k in k 1537433141.397 * [misc]backup-simplify: Simplify 0 into 0 1537433141.397 * [misc]backup-simplify: Simplify 1 into 1 1537433141.397 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1537433141.397 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of 2 in k 1537433141.397 * [misc]backup-simplify: Simplify 2 into 2 1537433141.397 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.397 * [misc]backup-simplify: Simplify PI into PI 1537433141.397 * [misc]taylor: Taking taylor expansion of n in k 1537433141.397 * [misc]backup-simplify: Simplify n into n 1537433141.397 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433141.397 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537433141.397 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537433141.397 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1537433141.397 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1537433141.397 * [misc]taylor: Taking taylor expansion of n in k 1537433141.397 * [misc]backup-simplify: Simplify n into n 1537433141.397 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537433141.397 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.397 * [misc]backup-simplify: Simplify PI into PI 1537433141.398 * [misc]taylor: Taking taylor expansion of k in k 1537433141.398 * [misc]backup-simplify: Simplify 0 into 0 1537433141.398 * [misc]backup-simplify: Simplify 1 into 1 1537433141.398 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) into (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) 1537433141.398 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537433141.398 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537433141.399 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) into (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) 1537433141.399 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.399 * [misc]backup-simplify: Simplify (/ (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) 1537433141.399 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537433141.399 * [misc]taylor: Taking taylor expansion of 0 in n 1537433141.399 * [misc]backup-simplify: Simplify 0 into 0 1537433141.399 * [misc]backup-simplify: Simplify 0 into 0 1537433141.399 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537433141.400 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) 1537433141.400 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI))) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.400 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.400 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.400 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.400 * [misc]backup-simplify: Simplify 2 into 2 1537433141.400 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.400 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.400 * [misc]backup-simplify: Simplify PI into PI 1537433141.400 * [misc]taylor: Taking taylor expansion of n in n 1537433141.400 * [misc]backup-simplify: Simplify 0 into 0 1537433141.400 * [misc]backup-simplify: Simplify 1 into 1 1537433141.401 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.401 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.401 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.401 * [misc]taylor: Taking taylor expansion of k in n 1537433141.401 * [misc]backup-simplify: Simplify k into k 1537433141.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.404 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537433141.405 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433141.405 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.405 * [misc]taylor: Taking taylor expansion of n in n 1537433141.405 * [misc]backup-simplify: Simplify 0 into 0 1537433141.405 * [misc]backup-simplify: Simplify 1 into 1 1537433141.405 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1537433141.405 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.405 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.405 * [misc]backup-simplify: Simplify 2 into 2 1537433141.405 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.406 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.406 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.406 * [misc]backup-simplify: Simplify PI into PI 1537433141.406 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1537433141.407 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.407 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433141.409 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433141.410 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537433141.410 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537433141.411 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433141.412 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.412 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537433141.413 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1537433141.413 * [misc]backup-simplify: Simplify 0 into 0 1537433141.413 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (* 0 n)) into 0 1537433141.414 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537433141.415 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)))) into 0 1537433141.416 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) 1537433141.416 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433141.417 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537433141.419 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2))))) 1537433141.419 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2))))) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2)))) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.419 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.419 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (* (sqrt 2) (pow PI 2))) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.419 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.419 * [misc]backup-simplify: Simplify 2 into 2 1537433141.419 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.419 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.419 * [misc]backup-simplify: Simplify PI into PI 1537433141.419 * [misc]taylor: Taking taylor expansion of n in n 1537433141.419 * [misc]backup-simplify: Simplify 0 into 0 1537433141.419 * [misc]backup-simplify: Simplify 1 into 1 1537433141.419 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.420 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.420 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.420 * [misc]taylor: Taking taylor expansion of k in n 1537433141.420 * [misc]backup-simplify: Simplify k into k 1537433141.420 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.421 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.421 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537433141.422 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433141.422 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.422 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537433141.422 * [misc]taylor: Taking taylor expansion of n in n 1537433141.422 * [misc]backup-simplify: Simplify 0 into 0 1537433141.422 * [misc]backup-simplify: Simplify 1 into 1 1537433141.422 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1537433141.422 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.422 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.422 * [misc]backup-simplify: Simplify 2 into 2 1537433141.422 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.422 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.422 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537433141.422 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.423 * [misc]backup-simplify: Simplify PI into PI 1537433141.423 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537433141.424 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.424 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537433141.424 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.425 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537433141.426 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))) 1537433141.427 * [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))) 1537433141.428 * [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)))) 1537433141.428 * [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)))) 1537433141.428 * [misc]backup-simplify: Simplify 0 into 0 1537433141.429 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (* 0 n))) into 0 1537433141.429 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537433141.430 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537433141.433 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))) 1537433141.433 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433141.434 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537433141.437 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0)))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3))))) 1537433141.437 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3))))) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3)))) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.437 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.437 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (* (sqrt 2) (pow PI 3))) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.437 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.437 * [misc]backup-simplify: Simplify 2 into 2 1537433141.437 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.437 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.437 * [misc]backup-simplify: Simplify PI into PI 1537433141.437 * [misc]taylor: Taking taylor expansion of n in n 1537433141.437 * [misc]backup-simplify: Simplify 0 into 0 1537433141.437 * [misc]backup-simplify: Simplify 1 into 1 1537433141.437 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.438 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.438 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.438 * [misc]taylor: Taking taylor expansion of k in n 1537433141.438 * [misc]backup-simplify: Simplify k into k 1537433141.438 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.439 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.439 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537433141.440 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433141.440 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.440 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537433141.440 * [misc]taylor: Taking taylor expansion of n in n 1537433141.440 * [misc]backup-simplify: Simplify 0 into 0 1537433141.440 * [misc]backup-simplify: Simplify 1 into 1 1537433141.440 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1537433141.440 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.440 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.440 * [misc]backup-simplify: Simplify 2 into 2 1537433141.440 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.441 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.441 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537433141.441 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.441 * [misc]backup-simplify: Simplify PI into PI 1537433141.442 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537433141.443 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1537433141.443 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.443 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.444 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1537433141.445 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.445 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537433141.446 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537433141.448 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))) 1537433141.450 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.451 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.457 * [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 1537433141.458 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433141.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537433141.461 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433141.462 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1537433141.463 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537433141.466 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1537433141.467 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into 0 1537433141.468 * [misc]backup-simplify: Simplify (- 0) into 0 1537433141.468 * [misc]backup-simplify: Simplify 0 into 0 1537433141.468 * [misc]backup-simplify: Simplify 0 into 0 1537433141.468 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1537433141.469 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537433141.472 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537433141.480 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4))) 1537433141.481 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433141.482 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537433141.489 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0))))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4))))) 1537433141.489 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4))))) in n 1537433141.489 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4)))) in n 1537433141.489 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.489 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.489 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (* (sqrt 2) (pow PI 4))) in n 1537433141.489 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.490 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.490 * [misc]backup-simplify: Simplify 2 into 2 1537433141.490 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.490 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.490 * [misc]backup-simplify: Simplify PI into PI 1537433141.490 * [misc]taylor: Taking taylor expansion of n in n 1537433141.490 * [misc]backup-simplify: Simplify 0 into 0 1537433141.490 * [misc]backup-simplify: Simplify 1 into 1 1537433141.490 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.491 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.491 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.491 * [misc]taylor: Taking taylor expansion of k in n 1537433141.491 * [misc]backup-simplify: Simplify k into k 1537433141.493 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.493 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.494 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537433141.495 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433141.495 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.495 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537433141.495 * [misc]taylor: Taking taylor expansion of n in n 1537433141.495 * [misc]backup-simplify: Simplify 0 into 0 1537433141.496 * [misc]backup-simplify: Simplify 1 into 1 1537433141.496 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n 1537433141.496 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.496 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.496 * [misc]backup-simplify: Simplify 2 into 2 1537433141.496 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.496 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.496 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1537433141.496 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.496 * [misc]backup-simplify: Simplify PI into PI 1537433141.498 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537433141.500 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1537433141.500 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.500 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.501 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1537433141.502 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.503 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537433141.504 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537433141.506 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) (* (sqrt 2) (pow PI 4))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) (* (sqrt 2) (pow PI 4))) 1537433141.508 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2)))) into (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2)))) 1537433141.511 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) 1537433141.514 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) 1537433141.516 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.518 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.528 * [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 1537433141.529 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433141.530 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537433141.536 * [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 1537433141.538 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537433141.539 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537433141.540 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.545 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1537433141.546 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into 0 1537433141.546 * [misc]backup-simplify: Simplify (- 0) into 0 1537433141.546 * [misc]backup-simplify: Simplify 0 into 0 1537433141.547 * [misc]backup-simplify: Simplify 0 into 0 1537433141.547 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1537433141.549 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1537433141.551 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537433141.560 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4))))) (* 2 (* (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5))) 1537433141.561 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433141.562 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537433141.571 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0)))))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5))))) 1537433141.571 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5))))) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5)))) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.571 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (* (sqrt 2) (pow PI 5))) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.571 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.571 * [misc]backup-simplify: Simplify 2 into 2 1537433141.571 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.571 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.572 * [misc]backup-simplify: Simplify PI into PI 1537433141.572 * [misc]taylor: Taking taylor expansion of n in n 1537433141.572 * [misc]backup-simplify: Simplify 0 into 0 1537433141.572 * [misc]backup-simplify: Simplify 1 into 1 1537433141.572 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.572 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.573 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.573 * [misc]taylor: Taking taylor expansion of k in n 1537433141.573 * [misc]backup-simplify: Simplify k into k 1537433141.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.575 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537433141.576 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433141.576 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.576 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537433141.577 * [misc]taylor: Taking taylor expansion of n in n 1537433141.577 * [misc]backup-simplify: Simplify 0 into 0 1537433141.577 * [misc]backup-simplify: Simplify 1 into 1 1537433141.577 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 5)) in n 1537433141.577 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.577 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.577 * [misc]backup-simplify: Simplify 2 into 2 1537433141.577 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.577 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.577 * [misc]taylor: Taking taylor expansion of (pow PI 5) in n 1537433141.577 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.577 * [misc]backup-simplify: Simplify PI into PI 1537433141.579 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537433141.581 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4) 1537433141.583 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 4)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) 1537433141.583 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.583 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.583 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.584 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) 1537433141.585 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.586 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537433141.586 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537433141.587 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537433141.589 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) (* (sqrt 2) (pow PI 5))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 5) (* (sqrt 2) (pow PI 5))) 1537433141.589 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537433141.591 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.591 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537433141.595 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537433141.596 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537433141.597 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537433141.598 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433141.600 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537433141.601 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 0) (* 0 1)) into 0 1537433141.602 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537433141.603 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537433141.608 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537433141.610 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) (* (sqrt 2) (pow PI 2))))) into 0 1537433141.610 * [misc]backup-simplify: Simplify (- 0) into 0 1537433141.610 * [misc]backup-simplify: Simplify 0 into 0 1537433141.613 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.615 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537433141.630 * [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 1537433141.631 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433141.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537433141.636 * [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 1537433141.636 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537433141.637 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433141.638 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537433141.640 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1537433141.641 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))))) into 0 1537433141.641 * [misc]backup-simplify: Simplify (- 0) into 0 1537433141.642 * [misc]backup-simplify: Simplify 0 into 0 1537433141.642 * [misc]backup-simplify: Simplify 0 into 0 1537433141.642 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))))) into 0 1537433141.643 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1537433141.645 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537433141.652 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3))) 2) (+ (* 2 (* (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5))))) (* 2 (* (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2))) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4))))))) (* 2 0)) into (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (pow PI 6))) 1537433141.653 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537433141.654 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537433141.662 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (pow PI 6)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 5) (pow n 5)) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 4) (pow n 4)) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 3) (pow n 3)) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 2) (pow n 2)) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) PI))) (* 0 0))))))) into (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6))))) 1537433141.662 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6))))) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6)))) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.662 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.662 * [misc]taylor: Taking taylor expansion of (/ (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) (* (sqrt 2) (pow PI 6))) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) (pow n 6)) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 6) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537433141.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537433141.662 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.662 * [misc]backup-simplify: Simplify 2 into 2 1537433141.662 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.662 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.662 * [misc]backup-simplify: Simplify PI into PI 1537433141.662 * [misc]taylor: Taking taylor expansion of n in n 1537433141.662 * [misc]backup-simplify: Simplify 0 into 0 1537433141.662 * [misc]backup-simplify: Simplify 1 into 1 1537433141.662 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.663 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537433141.663 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537433141.663 * [misc]taylor: Taking taylor expansion of k in n 1537433141.663 * [misc]backup-simplify: Simplify k into k 1537433141.663 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.664 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537433141.664 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537433141.665 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537433141.665 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537433141.665 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537433141.665 * [misc]taylor: Taking taylor expansion of n in n 1537433141.665 * [misc]backup-simplify: Simplify 0 into 0 1537433141.665 * [misc]backup-simplify: Simplify 1 into 1 1537433141.665 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n 1537433141.665 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537433141.665 * [misc]taylor: Taking taylor expansion of 2 in n 1537433141.665 * [misc]backup-simplify: Simplify 2 into 2 1537433141.665 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537433141.666 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537433141.666 * [misc]taylor: Taking taylor expansion of (pow PI 6) in n 1537433141.666 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.666 * [misc]backup-simplify: Simplify PI into PI 1537433141.667 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2) 1537433141.668 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 2)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) 1537433141.669 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3)) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) 1537433141.669 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.669 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.669 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537433141.670 * [misc]backup-simplify: Simplify (* (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) 1) into (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) 1537433141.670 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537433141.670 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537433141.671 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537433141.672 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537433141.674 * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) (* (sqrt 2) (pow PI 6))) into (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 6) (* (sqrt 2) (pow PI 6))) 1537433141.676 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3)))) into (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3)))) 1537433141.679 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) 1537433141.681 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 3) (* (sqrt 2) (pow PI 3))))) 1537433141.692 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) 3) (* (sqrt 2) (pow PI 3))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ (pow (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) 2) (* (sqrt 2) (pow PI 2))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 3) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2)))))) (- (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 2) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k)))))))))) 1537433141.694 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (/ (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (sqrt (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) 1537433141.694 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in (k n) around 0 1537433141.694 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in n 1537433141.694 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537433141.694 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537433141.694 * [misc]taylor: Taking taylor expansion of -1 in n 1537433141.694 * [misc]backup-simplify: Simplify -1 into -1 1537433141.694 * [misc]taylor: Taking taylor expansion of k in n 1537433141.694 * [misc]backup-simplify: Simplify k into k 1537433141.694 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537433141.694 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537433141.694 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537433141.694 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537433141.694 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n))) in n 1537433141.694 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)) in n 1537433141.694 * [misc]taylor: Taking taylor expansion of (* PI -2) in n 1537433141.694 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.695 * [misc]backup-simplify: Simplify PI into PI 1537433141.695 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.695 * [misc]backup-simplify: Simplify -2 into -2 1537433141.695 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433141.695 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433141.695 * [misc]taylor: Taking taylor expansion of k in n 1537433141.695 * [misc]backup-simplify: Simplify k into k 1537433141.695 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1537433141.695 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.695 * [misc]backup-simplify: Simplify -2 into -2 1537433141.695 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.695 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.695 * [misc]backup-simplify: Simplify PI into PI 1537433141.695 * [misc]taylor: Taking taylor expansion of n in n 1537433141.695 * [misc]backup-simplify: Simplify 0 into 0 1537433141.695 * [misc]backup-simplify: Simplify 1 into 1 1537433141.696 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.696 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.696 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433141.697 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433141.697 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433141.697 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433141.697 * [misc]taylor: Taking taylor expansion of n in n 1537433141.697 * [misc]backup-simplify: Simplify 0 into 0 1537433141.697 * [misc]backup-simplify: Simplify 1 into 1 1537433141.698 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537433141.698 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537433141.699 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.699 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433141.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433141.701 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1537433141.702 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433141.702 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537433141.703 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433141.704 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433141.704 * [misc]backup-simplify: Simplify (/ (* -2 PI) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433141.704 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.705 * [misc]backup-simplify: Simplify (/ (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 2 (sqrt 0))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433141.706 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) PI)) 1537433141.706 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of -1 in k 1537433141.706 * [misc]backup-simplify: Simplify -1 into -1 1537433141.706 * [misc]taylor: Taking taylor expansion of k in k 1537433141.706 * [misc]backup-simplify: Simplify 0 into 0 1537433141.706 * [misc]backup-simplify: Simplify 1 into 1 1537433141.706 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433141.706 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.706 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433141.706 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n))) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (* PI -2) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.706 * [misc]backup-simplify: Simplify PI into PI 1537433141.706 * [misc]taylor: Taking taylor expansion of -2 in k 1537433141.706 * [misc]backup-simplify: Simplify -2 into -2 1537433141.706 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537433141.706 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433141.706 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433141.706 * [misc]taylor: Taking taylor expansion of k in k 1537433141.706 * [misc]backup-simplify: Simplify 0 into 0 1537433141.706 * [misc]backup-simplify: Simplify 1 into 1 1537433141.707 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537433141.707 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537433141.707 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433141.707 * [misc]taylor: Taking taylor expansion of -2 in k 1537433141.707 * [misc]backup-simplify: Simplify -2 into -2 1537433141.707 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433141.707 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.707 * [misc]backup-simplify: Simplify PI into PI 1537433141.707 * [misc]taylor: Taking taylor expansion of n in k 1537433141.707 * [misc]backup-simplify: Simplify n into n 1537433141.707 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433141.707 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433141.707 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537433141.707 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537433141.707 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537433141.707 * [misc]taylor: Taking taylor expansion of n in k 1537433141.707 * [misc]backup-simplify: Simplify n into n 1537433141.707 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537433141.708 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) into (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) 1537433141.708 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) into (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) 1537433141.708 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) into (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) 1537433141.709 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537433141.709 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) (* 0 n)) into 0 1537433141.709 * [misc]backup-simplify: Simplify (- (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (+ (* (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))))) into 0 1537433141.710 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))) into 0 1537433141.710 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) into (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) 1537433141.710 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)))) in k 1537433141.710 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537433141.710 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537433141.710 * [misc]taylor: Taking taylor expansion of -1 in k 1537433141.710 * [misc]backup-simplify: Simplify -1 into -1 1537433141.710 * [misc]taylor: Taking taylor expansion of k in k 1537433141.710 * [misc]backup-simplify: Simplify 0 into 0 1537433141.710 * [misc]backup-simplify: Simplify 1 into 1 1537433141.710 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537433141.710 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.711 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537433141.711 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n))) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of (/ (* PI -2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n)) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of (* PI -2) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.711 * [misc]backup-simplify: Simplify PI into PI 1537433141.711 * [misc]taylor: Taking taylor expansion of -2 in k 1537433141.711 * [misc]backup-simplify: Simplify -2 into -2 1537433141.711 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) n) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537433141.711 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433141.711 * [misc]taylor: Taking taylor expansion of k in k 1537433141.711 * [misc]backup-simplify: Simplify 0 into 0 1537433141.711 * [misc]backup-simplify: Simplify 1 into 1 1537433141.711 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1537433141.711 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of -2 in k 1537433141.711 * [misc]backup-simplify: Simplify -2 into -2 1537433141.711 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537433141.711 * [misc]taylor: Taking taylor expansion of PI in k 1537433141.711 * [misc]backup-simplify: Simplify PI into PI 1537433141.711 * [misc]taylor: Taking taylor expansion of n in k 1537433141.711 * [misc]backup-simplify: Simplify n into n 1537433141.711 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537433141.711 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537433141.711 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537433141.711 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1537433141.712 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1537433141.712 * [misc]taylor: Taking taylor expansion of n in k 1537433141.712 * [misc]backup-simplify: Simplify n into n 1537433141.712 * [misc]backup-simplify: Simplify (* PI -2) into (* -2 PI) 1537433141.712 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) into (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) 1537433141.712 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) into (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) 1537433141.713 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) into (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) 1537433141.713 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -2)) into 0 1537433141.713 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) (* 0 n)) into 0 1537433141.714 * [misc]backup-simplify: Simplify (- (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (+ (* (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) (/ 0 (* n (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))))) into 0 1537433141.714 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))) into 0 1537433141.714 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) into (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) 1537433141.714 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) in n 1537433141.714 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.714 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.714 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) in n 1537433141.714 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) in n 1537433141.714 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.714 * [misc]backup-simplify: Simplify -2 into -2 1537433141.714 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)) in n 1537433141.714 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.715 * [misc]backup-simplify: Simplify PI into PI 1537433141.715 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) in n 1537433141.715 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537433141.715 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537433141.715 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433141.715 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433141.715 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537433141.715 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433141.715 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.715 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.715 * [misc]backup-simplify: Simplify -2 into -2 1537433141.715 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.715 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.715 * [misc]backup-simplify: Simplify PI into PI 1537433141.715 * [misc]taylor: Taking taylor expansion of n in n 1537433141.715 * [misc]backup-simplify: Simplify 0 into 0 1537433141.715 * [misc]backup-simplify: Simplify 1 into 1 1537433141.715 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.715 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.716 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433141.716 * [misc]taylor: Taking taylor expansion of k in n 1537433141.716 * [misc]backup-simplify: Simplify k into k 1537433141.716 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433141.716 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433141.717 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537433141.717 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433141.718 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433141.718 * [misc]taylor: Taking taylor expansion of n in n 1537433141.718 * [misc]backup-simplify: Simplify 0 into 0 1537433141.718 * [misc]backup-simplify: Simplify 1 into 1 1537433141.718 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537433141.719 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.719 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433141.721 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433141.722 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537433141.722 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537433141.723 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433141.724 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433141.724 * [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)))) 1537433141.725 * [misc]backup-simplify: Simplify (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433141.725 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.725 * [misc]backup-simplify: Simplify (/ (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 2 (sqrt 0))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433141.726 * [misc]backup-simplify: Simplify (/ +nan.0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537433141.726 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537433141.727 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537433141.727 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537433141.728 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) (+ (* (/ +nan.0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) (/ 0 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))))) into (- (* +nan.0 (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))))) 1537433141.728 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))))) in n 1537433141.728 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))))) in n 1537433141.728 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537433141.728 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537433141.728 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))))) in n 1537433141.728 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)))) in n 1537433141.728 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n))) in n 1537433141.728 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.728 * [misc]backup-simplify: Simplify -2 into -2 1537433141.728 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n)) in n 1537433141.728 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.728 * [misc]backup-simplify: Simplify PI into PI 1537433141.728 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) n) in n 1537433141.729 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537433141.729 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537433141.729 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537433141.729 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537433141.729 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537433141.729 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537433141.729 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537433141.729 * [misc]taylor: Taking taylor expansion of -2 in n 1537433141.729 * [misc]backup-simplify: Simplify -2 into -2 1537433141.729 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537433141.729 * [misc]taylor: Taking taylor expansion of PI in n 1537433141.729 * [misc]backup-simplify: Simplify PI into PI 1537433141.729 * [misc]taylor: Taking taylor expansion of n in n 1537433141.729 * [misc]backup-simplify: Simplify 0 into 0 1537433141.729 * [misc]backup-simplify: Simplify 1 into 1 1537433141.729 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537433141.729 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537433141.729 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537433141.729 * [misc]taylor: Taking taylor expansion of k in n 1537433141.729 * [misc]backup-simplify: Simplify k into k 1537433141.730 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433141.730 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537433141.731 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537433141.731 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537433141.732 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433141.732 * [misc]taylor: Taking taylor expansion of n in n 1537433141.732 * [misc]backup-simplify: Simplify 0 into 0 1537433141.732 * [misc]backup-simplify: Simplify 1 into 1 1537433141.732 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1537433141.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537433141.733 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537433141.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537433141.737 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537433141.738 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537433141.740 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537433141.741 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537433141.741 * [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)))) 1537433141.742 * [misc]backup-simplify: Simplify (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433141.742 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537433141.743 * [misc]backup-simplify: Simplify (/ (* -2 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 2 (sqrt 0))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1537433141.745 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537433141.746 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1537433141.747 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1537433141.748 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1537433141.750 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537433141.751 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537433141.757 * [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 1537433141.757 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537433141.758 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537433141.761 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537433141.762 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1537433141.764 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0 1537433141.765 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into 0 1537433141.769 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 2))) 1537433141.773 * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) (/ (* +nan.0 (/ (pow PI 2) (pow (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 2))) (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- +nan.0) 1537433141.773 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537433141.775 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI))) (* 1 (/ 1 (- k)))) (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI)))) 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 (/ 1 n))))))) 1537433141.775 * * * [misc]progress: simplifying candidates 1537433141.775 * * * * [misc]progress: [ 1 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 2 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 3 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 4 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 5 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 6 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 7 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 8 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 9 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 10 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 11 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 12 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 13 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 14 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 15 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 16 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 17 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 18 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 19 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 20 / 188 ] simplifiying candidate # 1537433141.775 * * * * [misc]progress: [ 21 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 22 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 23 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 24 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 25 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 26 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 27 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 28 / 188 ] simplifiying candidate # 1537433141.776 * * * * [misc]progress: [ 29 / 188 ] simplifiying candidate # 1537433141.776 * [enter]simplify: Simplifying (- (log (sqrt k)) (- (* (log (* PI (* n 2))) 1/2) (log (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433141.777 * * [misc]simplify: iters left: 6 (17 enodes) 1537433141.781 * * [misc]simplify: iters left: 5 (31 enodes) 1537433141.788 * * [misc]simplify: iters left: 4 (56 enodes) 1537433141.804 * * [misc]simplify: iters left: 3 (124 enodes) 1537433141.871 * * [misc]simplify: iters left: 2 (287 enodes) 1537433142.061 * [exit]simplify: Simplified to (- (log (sqrt (pow (* (* PI 2) n) (/ k 2)))) (- (* 1/2 (log (* (* PI 2) n))) (log (sqrt k)))) 1537433142.061 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (- (log (sqrt (pow (* (* PI 2) n) (/ k 2)))) (- (* 1/2 (log (* (* PI 2) n))) (log (sqrt k))))))) 1537433142.061 * * * * [misc]progress: [ 30 / 188 ] simplifiying candidate # 1537433142.062 * [enter]simplify: Simplifying (- (log (sqrt k)) (- (* (log (* PI (* n 2))) 1/2) (log (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433142.064 * * [misc]simplify: iters left: 6 (17 enodes) 1537433142.071 * * [misc]simplify: iters left: 5 (31 enodes) 1537433142.086 * * [misc]simplify: iters left: 4 (56 enodes) 1537433142.117 * * [misc]simplify: iters left: 3 (124 enodes) 1537433142.164 * * [misc]simplify: iters left: 2 (287 enodes) 1537433142.345 * [exit]simplify: Simplified to (- (log (sqrt (pow (* (* PI 2) n) (/ k 2)))) (- (* 1/2 (log (* (* PI 2) n))) (log (sqrt k)))) 1537433142.345 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (- (log (sqrt (pow (* (* PI 2) n) (/ k 2)))) (- (* 1/2 (log (* (* PI 2) n))) (log (sqrt k))))))) 1537433142.345 * * * * [misc]progress: [ 31 / 188 ] simplifiying candidate # 1537433142.345 * [enter]simplify: Simplifying (- (log (sqrt k)) (- (log (pow (* PI (* n 2)) 1/2)) (log (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433142.346 * * [misc]simplify: iters left: 6 (17 enodes) 1537433142.350 * * [misc]simplify: iters left: 5 (30 enodes) 1537433142.357 * * [misc]simplify: iters left: 4 (52 enodes) 1537433142.369 * * [misc]simplify: iters left: 3 (93 enodes) 1537433142.408 * * [misc]simplify: iters left: 2 (198 enodes) 1537433142.474 * * [misc]simplify: iters left: 1 (492 enodes) 1537433142.866 * [exit]simplify: Simplified to (- (log (sqrt (pow (* n (* PI 2)) (/ k 2)))) (+ (* 1/2 (log (* PI n))) (- (* (log 2) 1/2) (log (sqrt k))))) 1537433142.866 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (- (log (sqrt (pow (* n (* PI 2)) (/ k 2)))) (+ (* 1/2 (log (* PI n))) (- (* (log 2) 1/2) (log (sqrt k)))))))) 1537433142.866 * * * * [misc]progress: [ 32 / 188 ] simplifiying candidate # 1537433142.866 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433142.868 * * [misc]simplify: iters left: 6 (16 enodes) 1537433142.875 * * [misc]simplify: iters left: 5 (26 enodes) 1537433142.884 * * [misc]simplify: iters left: 4 (39 enodes) 1537433142.901 * * [misc]simplify: iters left: 3 (62 enodes) 1537433142.926 * * [misc]simplify: iters left: 2 (114 enodes) 1537433142.994 * * [misc]simplify: iters left: 1 (243 enodes) 1537433143.169 * [exit]simplify: Simplified to (- (log (sqrt (pow (* 2 (* PI n)) (/ k 2)))) (- (log (sqrt (* 2 (* PI n)))) (log (sqrt k)))) 1537433143.169 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (exp (- (log (sqrt (pow (* 2 (* PI n)) (/ k 2)))) (- (log (sqrt (* 2 (* PI n)))) (log (sqrt k))))))) 1537433143.170 * * * * [misc]progress: [ 33 / 188 ] simplifiying candidate # 1537433143.172 * * * * [misc]progress: [ 34 / 188 ] simplifiying candidate # 1537433143.172 * * * * [misc]progress: [ 35 / 188 ] simplifiying candidate # 1537433143.173 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (/ (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433143.174 * * [misc]simplify: iters left: 6 (20 enodes) 1537433143.179 * * [misc]simplify: iters left: 5 (39 enodes) 1537433143.192 * * [misc]simplify: iters left: 4 (114 enodes) 1537433143.285 * * [misc]simplify: iters left: 3 (459 enodes) 1537433144.273 * [exit]simplify: Simplified to (* (/ (* (* k (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (* (* n 2) PI))) (/ (sqrt (pow (* (* n 2) PI) (/ k 2))) (* (* n 2) PI))) 1537433144.273 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (* (/ (* (* k (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (* (* n 2) PI))) (/ (sqrt (pow (* (* n 2) PI) (/ k 2))) (* (* n 2) PI)))))) 1537433144.273 * * * * [misc]progress: [ 36 / 188 ] simplifiying candidate # 1537433144.273 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433144.275 * * [misc]simplify: iters left: 6 (18 enodes) 1537433144.285 * * [misc]simplify: iters left: 5 (38 enodes) 1537433144.305 * * [misc]simplify: iters left: 4 (99 enodes) 1537433144.353 * * [misc]simplify: iters left: 3 (288 enodes) 1537433144.856 * [exit]simplify: Simplified to (* (/ (* k (sqrt k)) (* (* (* n 2) PI) (sqrt (* (* n 2) PI)))) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537433144.856 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (* (/ (* k (sqrt k)) (* (* (* n 2) PI) (sqrt (* (* n 2) PI)))) (* (pow (* (* n 2) PI) (/ k 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537433144.856 * * * * [misc]progress: [ 37 / 188 ] simplifiying candidate # 1537433144.857 * * * * [misc]progress: [ 38 / 188 ] simplifiying candidate # 1537433144.857 * * * * [misc]progress: [ 39 / 188 ] simplifiying candidate # 1537433144.857 * [enter]simplify: Simplifying (/ k (/ (* PI (* n 2)) (pow (* PI (* n 2)) (/ k 2)))) 1537433144.858 * * [misc]simplify: iters left: 6 (10 enodes) 1537433144.863 * * [misc]simplify: iters left: 5 (18 enodes) 1537433144.871 * * [misc]simplify: iters left: 4 (39 enodes) 1537433144.894 * * [misc]simplify: iters left: 3 (90 enodes) 1537433144.933 * * [misc]simplify: iters left: 2 (179 enodes) 1537433144.978 * * [misc]simplify: iters left: 1 (260 enodes) 1537433145.071 * [exit]simplify: Simplified to (/ (pow (* n (* 2 PI)) (/ k 2)) (* n (/ (* 2 PI) k))) 1537433145.071 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (/ (pow (* n (* 2 PI)) (/ k 2)) (* n (/ (* 2 PI) k)))))) 1537433145.071 * * * * [misc]progress: [ 40 / 188 ] simplifiying candidate # 1537433145.071 * * * * [misc]progress: [ 41 / 188 ] simplifiying candidate # 1537433145.071 * * * * [misc]progress: [ 42 / 188 ] simplifiying candidate # 1537433145.072 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433145.073 * * [misc]simplify: iters left: 6 (18 enodes) 1537433145.077 * * [misc]simplify: iters left: 5 (29 enodes) 1537433145.083 * * [misc]simplify: iters left: 4 (44 enodes) 1537433145.094 * * [misc]simplify: iters left: 3 (48 enodes) 1537433145.107 * * [misc]simplify: iters left: 2 (51 enodes) 1537433145.121 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))) 1537433145.121 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433145.122 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.122 * * [misc]simplify: iters left: 6 (16 enodes) 1537433145.125 * * [misc]simplify: iters left: 5 (21 enodes) 1537433145.129 * * [misc]simplify: iters left: 4 (27 enodes) 1537433145.133 * * [misc]simplify: iters left: 3 (29 enodes) 1537433145.140 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537433145.140 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* n 2) PI)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537433145.140 * * * * [misc]progress: [ 43 / 188 ] simplifiying candidate # 1537433145.141 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.142 * * [misc]simplify: iters left: 6 (17 enodes) 1537433145.145 * * [misc]simplify: iters left: 5 (24 enodes) 1537433145.149 * * [misc]simplify: iters left: 4 (32 enodes) 1537433145.154 * * [misc]simplify: iters left: 3 (34 enodes) 1537433145.160 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (sqrt (* (* 2 PI) n)) (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) 1537433145.160 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (sqrt (* (* 2 PI) n)) (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433145.160 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.161 * * [misc]simplify: iters left: 6 (16 enodes) 1537433145.164 * * [misc]simplify: iters left: 5 (21 enodes) 1537433145.168 * * [misc]simplify: iters left: 4 (27 enodes) 1537433145.172 * * [misc]simplify: iters left: 3 (29 enodes) 1537433145.178 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537433145.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ (sqrt (* (* 2 PI) n)) (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537433145.178 * * * * [misc]progress: [ 44 / 188 ] simplifiying candidate # 1537433145.178 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433145.179 * * [misc]simplify: iters left: 6 (18 enodes) 1537433145.183 * * [misc]simplify: iters left: 5 (29 enodes) 1537433145.189 * * [misc]simplify: iters left: 4 (46 enodes) 1537433145.198 * * [misc]simplify: iters left: 3 (74 enodes) 1537433145.216 * * [misc]simplify: iters left: 2 (113 enodes) 1537433145.241 * * [misc]simplify: iters left: 1 (144 enodes) 1537433145.283 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) 1537433145.283 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433145.284 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.285 * * [misc]simplify: iters left: 6 (16 enodes) 1537433145.291 * * [misc]simplify: iters left: 5 (23 enodes) 1537433145.300 * * [misc]simplify: iters left: 4 (32 enodes) 1537433145.309 * * [misc]simplify: iters left: 3 (35 enodes) 1537433145.320 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537433145.320 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537433145.320 * * * * [misc]progress: [ 45 / 188 ] simplifiying candidate # 1537433145.321 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) 1537433145.321 * * [misc]simplify: iters left: 6 (13 enodes) 1537433145.324 * * [misc]simplify: iters left: 5 (18 enodes) 1537433145.327 * * [misc]simplify: iters left: 4 (25 enodes) 1537433145.332 * * [misc]simplify: iters left: 3 (37 enodes) 1537433145.338 * * [misc]simplify: iters left: 2 (49 enodes) 1537433145.345 * * [misc]simplify: iters left: 1 (55 enodes) 1537433145.362 * [exit]simplify: Simplified to (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow PI (/ k 2))) (sqrt PI))) 1537433145.362 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow PI (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433145.363 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537433145.364 * * [misc]simplify: iters left: 6 (13 enodes) 1537433145.368 * * [misc]simplify: iters left: 5 (17 enodes) 1537433145.374 * * [misc]simplify: iters left: 4 (20 enodes) 1537433145.381 * * [misc]simplify: iters left: 3 (22 enodes) 1537433145.388 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2)))) 1537433145.389 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow PI (/ k 2))) (sqrt PI))) (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2))))))) 1537433145.389 * * * * [misc]progress: [ 46 / 188 ] simplifiying candidate # 1537433145.389 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433145.390 * * [misc]simplify: iters left: 6 (18 enodes) 1537433145.394 * * [misc]simplify: iters left: 5 (28 enodes) 1537433145.399 * * [misc]simplify: iters left: 4 (41 enodes) 1537433145.406 * * [misc]simplify: iters left: 3 (55 enodes) 1537433145.415 * * [misc]simplify: iters left: 2 (67 enodes) 1537433145.428 * * [misc]simplify: iters left: 1 (73 enodes) 1537433145.456 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1537433145.456 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433145.456 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.457 * * [misc]simplify: iters left: 6 (16 enodes) 1537433145.464 * * [misc]simplify: iters left: 5 (23 enodes) 1537433145.472 * * [misc]simplify: iters left: 4 (32 enodes) 1537433145.480 * * [misc]simplify: iters left: 3 (35 enodes) 1537433145.486 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537433145.486 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537433145.486 * * * * [misc]progress: [ 47 / 188 ] simplifiying candidate # 1537433145.486 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.487 * * [misc]simplify: iters left: 6 (17 enodes) 1537433145.491 * * [misc]simplify: iters left: 5 (26 enodes) 1537433145.496 * * [misc]simplify: iters left: 4 (39 enodes) 1537433145.503 * * [misc]simplify: iters left: 3 (53 enodes) 1537433145.511 * * [misc]simplify: iters left: 2 (65 enodes) 1537433145.520 * * [misc]simplify: iters left: 1 (71 enodes) 1537433145.533 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537433145.533 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433145.533 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.534 * * [misc]simplify: iters left: 6 (16 enodes) 1537433145.537 * * [misc]simplify: iters left: 5 (23 enodes) 1537433145.541 * * [misc]simplify: iters left: 4 (32 enodes) 1537433145.548 * * [misc]simplify: iters left: 3 (35 enodes) 1537433145.554 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537433145.554 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537433145.554 * * * * [misc]progress: [ 48 / 188 ] simplifiying candidate # 1537433145.554 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt 1))) 1537433145.555 * * [misc]simplify: iters left: 6 (11 enodes) 1537433145.557 * * [misc]simplify: iters left: 5 (18 enodes) 1537433145.560 * * [misc]simplify: iters left: 4 (20 enodes) 1537433145.564 * * [misc]simplify: iters left: 3 (27 enodes) 1537433145.568 * * [misc]simplify: iters left: 2 (44 enodes) 1537433145.575 * * [misc]simplify: iters left: 1 (49 enodes) 1537433145.586 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) 1537433145.586 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433145.586 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433145.588 * * [misc]simplify: iters left: 6 (15 enodes) 1537433145.594 * * [misc]simplify: iters left: 5 (22 enodes) 1537433145.602 * * [misc]simplify: iters left: 4 (31 enodes) 1537433145.612 * * [misc]simplify: iters left: 3 (34 enodes) 1537433145.624 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433145.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433145.624 * * * * [misc]progress: [ 49 / 188 ] simplifiying candidate # 1537433145.624 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.626 * * [misc]simplify: iters left: 6 (17 enodes) 1537433145.634 * * [misc]simplify: iters left: 5 (26 enodes) 1537433145.643 * * [misc]simplify: iters left: 4 (39 enodes) 1537433145.653 * * [misc]simplify: iters left: 3 (53 enodes) 1537433145.662 * * [misc]simplify: iters left: 2 (65 enodes) 1537433145.671 * * [misc]simplify: iters left: 1 (71 enodes) 1537433145.693 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537433145.693 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433145.693 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433145.695 * * [misc]simplify: iters left: 6 (16 enodes) 1537433145.701 * * [misc]simplify: iters left: 5 (23 enodes) 1537433145.710 * * [misc]simplify: iters left: 4 (32 enodes) 1537433145.716 * * [misc]simplify: iters left: 3 (35 enodes) 1537433145.722 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1537433145.722 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2))))))) 1537433145.722 * * * * [misc]progress: [ 50 / 188 ] simplifiying candidate # 1537433145.722 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI 1/2) 1)) 1537433145.723 * * [misc]simplify: iters left: 6 (10 enodes) 1537433145.725 * * [misc]simplify: iters left: 5 (16 enodes) 1537433145.728 * * [misc]simplify: iters left: 4 (23 enodes) 1537433145.733 * * [misc]simplify: iters left: 3 (38 enodes) 1537433145.744 * * [misc]simplify: iters left: 2 (62 enodes) 1537433145.755 * * [misc]simplify: iters left: 1 (66 enodes) 1537433145.771 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))) 1537433145.771 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433145.771 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433145.773 * * [misc]simplify: iters left: 6 (15 enodes) 1537433145.779 * * [misc]simplify: iters left: 5 (22 enodes) 1537433145.787 * * [misc]simplify: iters left: 4 (31 enodes) 1537433145.796 * * [misc]simplify: iters left: 3 (34 enodes) 1537433145.808 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433145.808 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))) (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433145.808 * * * * [misc]progress: [ 51 / 188 ] simplifiying candidate # 1537433145.808 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433145.810 * * [misc]simplify: iters left: 6 (20 enodes) 1537433145.819 * * [misc]simplify: iters left: 5 (35 enodes) 1537433145.836 * * [misc]simplify: iters left: 4 (72 enodes) 1537433145.874 * * [misc]simplify: iters left: 3 (144 enodes) 1537433145.958 * * [misc]simplify: iters left: 2 (279 enodes) 1537433146.096 * * [misc]simplify: iters left: 1 (399 enodes) 1537433146.307 * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))) 1537433146.307 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433146.307 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433146.308 * * [misc]simplify: iters left: 6 (17 enodes) 1537433146.312 * * [misc]simplify: iters left: 5 (24 enodes) 1537433146.316 * * [misc]simplify: iters left: 4 (33 enodes) 1537433146.323 * * [misc]simplify: iters left: 3 (37 enodes) 1537433146.330 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433146.330 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433146.330 * * * * [misc]progress: [ 52 / 188 ] simplifiying candidate # 1537433146.330 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) 1537433146.331 * * [misc]simplify: iters left: 6 (18 enodes) 1537433146.335 * * [misc]simplify: iters left: 5 (29 enodes) 1537433146.342 * * [misc]simplify: iters left: 4 (50 enodes) 1537433146.362 * * [misc]simplify: iters left: 3 (92 enodes) 1537433146.386 * * [misc]simplify: iters left: 2 (145 enodes) 1537433146.428 * * [misc]simplify: iters left: 1 (176 enodes) 1537433146.494 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (sqrt (* (* n 2) PI))))) 1537433146.494 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (sqrt (* (* n 2) PI))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433146.494 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537433146.495 * * [misc]simplify: iters left: 6 (16 enodes) 1537433146.498 * * [misc]simplify: iters left: 5 (23 enodes) 1537433146.503 * * [misc]simplify: iters left: 4 (32 enodes) 1537433146.508 * * [misc]simplify: iters left: 3 (35 enodes) 1537433146.514 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537433146.514 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (sqrt (* (* n 2) PI))))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537433146.514 * * * * [misc]progress: [ 53 / 188 ] simplifiying candidate # 1537433146.514 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433146.516 * * [misc]simplify: iters left: 6 (20 enodes) 1537433146.520 * * [misc]simplify: iters left: 5 (32 enodes) 1537433146.529 * * [misc]simplify: iters left: 4 (53 enodes) 1537433146.546 * * [misc]simplify: iters left: 3 (95 enodes) 1537433146.591 * * [misc]simplify: iters left: 2 (152 enodes) 1537433146.659 * * [misc]simplify: iters left: 1 (185 enodes) 1537433146.724 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))))) 1537433146.725 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433146.725 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433146.726 * * [misc]simplify: iters left: 6 (17 enodes) 1537433146.735 * * [misc]simplify: iters left: 5 (24 enodes) 1537433146.744 * * [misc]simplify: iters left: 4 (33 enodes) 1537433146.749 * * [misc]simplify: iters left: 3 (37 enodes) 1537433146.755 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537433146.755 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433146.755 * * * * [misc]progress: [ 54 / 188 ] simplifiying candidate # 1537433146.756 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433146.757 * * [misc]simplify: iters left: 6 (19 enodes) 1537433146.761 * * [misc]simplify: iters left: 5 (30 enodes) 1537433146.767 * * [misc]simplify: iters left: 4 (51 enodes) 1537433146.786 * * [misc]simplify: iters left: 3 (93 enodes) 1537433146.817 * * [misc]simplify: iters left: 2 (150 enodes) 1537433146.865 * * [misc]simplify: iters left: 1 (181 enodes) 1537433146.929 * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) 1537433146.929 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433146.929 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433146.930 * * [misc]simplify: iters left: 6 (17 enodes) 1537433146.933 * * [misc]simplify: iters left: 5 (24 enodes) 1537433146.937 * * [misc]simplify: iters left: 4 (33 enodes) 1537433146.942 * * [misc]simplify: iters left: 3 (37 enodes) 1537433146.949 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433146.949 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433146.949 * * * * [misc]progress: [ 55 / 188 ] simplifiying candidate # 1537433146.949 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) 1537433146.950 * * [misc]simplify: iters left: 6 (17 enodes) 1537433146.955 * * [misc]simplify: iters left: 5 (30 enodes) 1537433146.960 * * [misc]simplify: iters left: 4 (46 enodes) 1537433146.970 * * [misc]simplify: iters left: 3 (75 enodes) 1537433147.007 * * [misc]simplify: iters left: 2 (189 enodes) 1537433147.092 * * [misc]simplify: iters left: 1 (313 enodes) 1537433147.184 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) 1537433147.184 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433147.184 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433147.185 * * [misc]simplify: iters left: 6 (16 enodes) 1537433147.188 * * [misc]simplify: iters left: 5 (23 enodes) 1537433147.193 * * [misc]simplify: iters left: 4 (32 enodes) 1537433147.197 * * [misc]simplify: iters left: 3 (35 enodes) 1537433147.204 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537433147.204 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537433147.204 * * * * [misc]progress: [ 56 / 188 ] simplifiying candidate # 1537433147.204 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433147.205 * * [misc]simplify: iters left: 6 (19 enodes) 1537433147.209 * * [misc]simplify: iters left: 5 (30 enodes) 1537433147.216 * * [misc]simplify: iters left: 4 (51 enodes) 1537433147.228 * * [misc]simplify: iters left: 3 (93 enodes) 1537433147.252 * * [misc]simplify: iters left: 2 (150 enodes) 1537433147.284 * * [misc]simplify: iters left: 1 (181 enodes) 1537433147.353 * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) 1537433147.354 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433147.354 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433147.355 * * [misc]simplify: iters left: 6 (17 enodes) 1537433147.362 * * [misc]simplify: iters left: 5 (24 enodes) 1537433147.370 * * [misc]simplify: iters left: 4 (33 enodes) 1537433147.381 * * [misc]simplify: iters left: 3 (37 enodes) 1537433147.395 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433147.395 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 PI) n))))) (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433147.395 * * * * [misc]progress: [ 57 / 188 ] simplifiying candidate # 1537433147.395 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) 1537433147.397 * * [misc]simplify: iters left: 6 (16 enodes) 1537433147.407 * * [misc]simplify: iters left: 5 (29 enodes) 1537433147.420 * * [misc]simplify: iters left: 4 (53 enodes) 1537433147.443 * * [misc]simplify: iters left: 3 (97 enodes) 1537433147.490 * * [misc]simplify: iters left: 2 (281 enodes) 1537433147.719 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI))))) 1537433147.719 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI))))) (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433147.719 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433147.721 * * [misc]simplify: iters left: 6 (16 enodes) 1537433147.724 * * [misc]simplify: iters left: 5 (23 enodes) 1537433147.730 * * [misc]simplify: iters left: 4 (32 enodes) 1537433147.735 * * [misc]simplify: iters left: 3 (35 enodes) 1537433147.741 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537433147.741 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* n 2) PI))))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537433147.741 * * * * [misc]progress: [ 58 / 188 ] simplifiying candidate # 1537433147.742 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433147.743 * * [misc]simplify: iters left: 6 (19 enodes) 1537433147.747 * * [misc]simplify: iters left: 5 (30 enodes) 1537433147.753 * * [misc]simplify: iters left: 4 (47 enodes) 1537433147.763 * * [misc]simplify: iters left: 3 (74 enodes) 1537433147.777 * * [misc]simplify: iters left: 2 (113 enodes) 1537433147.802 * * [misc]simplify: iters left: 1 (146 enodes) 1537433147.866 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (* (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) 1537433147.866 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (* (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433147.866 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433147.867 * * [misc]simplify: iters left: 6 (17 enodes) 1537433147.870 * * [misc]simplify: iters left: 5 (24 enodes) 1537433147.875 * * [misc]simplify: iters left: 4 (33 enodes) 1537433147.880 * * [misc]simplify: iters left: 3 (37 enodes) 1537433147.887 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433147.887 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (* (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433147.887 * * * * [misc]progress: [ 59 / 188 ] simplifiying candidate # 1537433147.888 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) 1537433147.889 * * [misc]simplify: iters left: 6 (17 enodes) 1537433147.893 * * [misc]simplify: iters left: 5 (26 enodes) 1537433147.898 * * [misc]simplify: iters left: 4 (39 enodes) 1537433147.905 * * [misc]simplify: iters left: 3 (52 enodes) 1537433147.913 * * [misc]simplify: iters left: 2 (64 enodes) 1537433147.925 * * [misc]simplify: iters left: 1 (70 enodes) 1537433147.949 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* (* 2 PI) n)))) 1537433147.949 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433147.949 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537433147.951 * * [misc]simplify: iters left: 6 (16 enodes) 1537433147.957 * * [misc]simplify: iters left: 5 (23 enodes) 1537433147.964 * * [misc]simplify: iters left: 4 (32 enodes) 1537433147.969 * * [misc]simplify: iters left: 3 (35 enodes) 1537433147.976 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537433147.976 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537433147.976 * * * * [misc]progress: [ 60 / 188 ] simplifiying candidate # 1537433147.976 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433147.979 * * [misc]simplify: iters left: 6 (19 enodes) 1537433147.982 * * [misc]simplify: iters left: 5 (29 enodes) 1537433147.988 * * [misc]simplify: iters left: 4 (42 enodes) 1537433147.995 * * [misc]simplify: iters left: 3 (55 enodes) 1537433148.004 * * [misc]simplify: iters left: 2 (67 enodes) 1537433148.016 * * [misc]simplify: iters left: 1 (73 enodes) 1537433148.044 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (fabs (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537433148.044 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (fabs (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433148.045 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433148.046 * * [misc]simplify: iters left: 6 (17 enodes) 1537433148.053 * * [misc]simplify: iters left: 5 (24 enodes) 1537433148.061 * * [misc]simplify: iters left: 4 (33 enodes) 1537433148.072 * * [misc]simplify: iters left: 3 (37 enodes) 1537433148.088 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537433148.088 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (fabs (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433148.088 * * * * [misc]progress: [ 61 / 188 ] simplifiying candidate # 1537433148.088 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433148.090 * * [misc]simplify: iters left: 6 (18 enodes) 1537433148.097 * * [misc]simplify: iters left: 5 (27 enodes) 1537433148.107 * * [misc]simplify: iters left: 4 (40 enodes) 1537433148.119 * * [misc]simplify: iters left: 3 (53 enodes) 1537433148.127 * * [misc]simplify: iters left: 2 (65 enodes) 1537433148.136 * * [misc]simplify: iters left: 1 (71 enodes) 1537433148.150 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537433148.150 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433148.150 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433148.151 * * [misc]simplify: iters left: 6 (17 enodes) 1537433148.157 * * [misc]simplify: iters left: 5 (24 enodes) 1537433148.165 * * [misc]simplify: iters left: 4 (33 enodes) 1537433148.175 * * [misc]simplify: iters left: 3 (37 enodes) 1537433148.190 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433148.190 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433148.190 * * * * [misc]progress: [ 62 / 188 ] simplifiying candidate # 1537433148.190 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) 1537433148.192 * * [misc]simplify: iters left: 6 (16 enodes) 1537433148.199 * * [misc]simplify: iters left: 5 (27 enodes) 1537433148.208 * * [misc]simplify: iters left: 4 (35 enodes) 1537433148.221 * * [misc]simplify: iters left: 3 (47 enodes) 1537433148.235 * * [misc]simplify: iters left: 2 (65 enodes) 1537433148.254 * * [misc]simplify: iters left: 1 (70 enodes) 1537433148.269 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) 1537433148.269 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433148.269 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433148.271 * * [misc]simplify: iters left: 6 (16 enodes) 1537433148.277 * * [misc]simplify: iters left: 5 (23 enodes) 1537433148.285 * * [misc]simplify: iters left: 4 (32 enodes) 1537433148.295 * * [misc]simplify: iters left: 3 (35 enodes) 1537433148.308 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537433148.309 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537433148.309 * * * * [misc]progress: [ 63 / 188 ] simplifiying candidate # 1537433148.309 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433148.311 * * [misc]simplify: iters left: 6 (18 enodes) 1537433148.320 * * [misc]simplify: iters left: 5 (27 enodes) 1537433148.331 * * [misc]simplify: iters left: 4 (40 enodes) 1537433148.344 * * [misc]simplify: iters left: 3 (53 enodes) 1537433148.361 * * [misc]simplify: iters left: 2 (65 enodes) 1537433148.380 * * [misc]simplify: iters left: 1 (71 enodes) 1537433148.407 * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537433148.407 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433148.407 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433148.409 * * [misc]simplify: iters left: 6 (17 enodes) 1537433148.416 * * [misc]simplify: iters left: 5 (24 enodes) 1537433148.424 * * [misc]simplify: iters left: 4 (33 enodes) 1537433148.434 * * [misc]simplify: iters left: 3 (37 enodes) 1537433148.447 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433148.447 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) (* (/ (cbrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433148.448 * * * * [misc]progress: [ 64 / 188 ] simplifiying candidate # 1537433148.448 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) 1537433148.451 * * [misc]simplify: iters left: 6 (15 enodes) 1537433148.458 * * [misc]simplify: iters left: 5 (26 enodes) 1537433148.467 * * [misc]simplify: iters left: 4 (40 enodes) 1537433148.473 * * [misc]simplify: iters left: 3 (52 enodes) 1537433148.479 * * [misc]simplify: iters left: 2 (53 enodes) 1537433148.485 * * [misc]simplify: iters left: 1 (59 enodes) 1537433148.493 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) 1537433148.493 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433148.493 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433148.494 * * [misc]simplify: iters left: 6 (16 enodes) 1537433148.497 * * [misc]simplify: iters left: 5 (23 enodes) 1537433148.501 * * [misc]simplify: iters left: 4 (32 enodes) 1537433148.506 * * [misc]simplify: iters left: 3 (35 enodes) 1537433148.513 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537433148.513 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (* (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537433148.513 * * * * [misc]progress: [ 65 / 188 ] simplifiying candidate # 1537433148.513 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433148.514 * * [misc]simplify: iters left: 6 (17 enodes) 1537433148.518 * * [misc]simplify: iters left: 5 (29 enodes) 1537433148.526 * * [misc]simplify: iters left: 4 (46 enodes) 1537433148.536 * * [misc]simplify: iters left: 3 (74 enodes) 1537433148.554 * * [misc]simplify: iters left: 2 (142 enodes) 1537433148.663 * * [misc]simplify: iters left: 1 (392 enodes) 1537433149.020 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) 1537433149.021 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433149.021 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433149.023 * * [misc]simplify: iters left: 6 (16 enodes) 1537433149.028 * * [misc]simplify: iters left: 5 (23 enodes) 1537433149.037 * * [misc]simplify: iters left: 4 (32 enodes) 1537433149.046 * * [misc]simplify: iters left: 3 (35 enodes) 1537433149.058 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433149.058 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (* (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433149.059 * * * * [misc]progress: [ 66 / 188 ] simplifiying candidate # 1537433149.059 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (pow PI (/ k 2))))) 1537433149.060 * * [misc]simplify: iters left: 6 (12 enodes) 1537433149.065 * * [misc]simplify: iters left: 5 (18 enodes) 1537433149.071 * * [misc]simplify: iters left: 4 (25 enodes) 1537433149.083 * * [misc]simplify: iters left: 3 (40 enodes) 1537433149.099 * * [misc]simplify: iters left: 2 (63 enodes) 1537433149.132 * * [misc]simplify: iters left: 1 (138 enodes) 1537433149.206 * [exit]simplify: Simplified to (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ k 2)))) 1537433149.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ k 2)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433149.210 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537433149.211 * * [misc]simplify: iters left: 6 (15 enodes) 1537433149.217 * * [misc]simplify: iters left: 5 (22 enodes) 1537433149.226 * * [misc]simplify: iters left: 4 (31 enodes) 1537433149.236 * * [misc]simplify: iters left: 3 (34 enodes) 1537433149.248 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2)))) 1537433149.248 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2))))))) 1537433149.248 * * * * [misc]progress: [ 67 / 188 ] simplifiying candidate # 1537433149.249 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433149.250 * * [misc]simplify: iters left: 6 (17 enodes) 1537433149.257 * * [misc]simplify: iters left: 5 (28 enodes) 1537433149.268 * * [misc]simplify: iters left: 4 (41 enodes) 1537433149.284 * * [misc]simplify: iters left: 3 (57 enodes) 1537433149.305 * * [misc]simplify: iters left: 2 (80 enodes) 1537433149.342 * * [misc]simplify: iters left: 1 (156 enodes) 1537433149.402 * [exit]simplify: Simplified to (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (fabs (cbrt (pow (* (* PI n) 2) (/ k 2))))) 1537433149.402 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (fabs (cbrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433149.403 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433149.404 * * [misc]simplify: iters left: 6 (16 enodes) 1537433149.411 * * [misc]simplify: iters left: 5 (23 enodes) 1537433149.420 * * [misc]simplify: iters left: 4 (32 enodes) 1537433149.430 * * [misc]simplify: iters left: 3 (35 enodes) 1537433149.443 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433149.443 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (fabs (cbrt (pow (* (* PI n) 2) (/ k 2))))) (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433149.443 * * * * [misc]progress: [ 68 / 188 ] simplifiying candidate # 1537433149.443 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433149.445 * * [misc]simplify: iters left: 6 (16 enodes) 1537433149.452 * * [misc]simplify: iters left: 5 (26 enodes) 1537433149.462 * * [misc]simplify: iters left: 4 (39 enodes) 1537433149.479 * * [misc]simplify: iters left: 3 (55 enodes) 1537433149.500 * * [misc]simplify: iters left: 2 (78 enodes) 1537433149.534 * * [misc]simplify: iters left: 1 (138 enodes) 1537433149.619 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433149.619 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433149.619 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433149.621 * * [misc]simplify: iters left: 6 (16 enodes) 1537433149.626 * * [misc]simplify: iters left: 5 (23 enodes) 1537433149.634 * * [misc]simplify: iters left: 4 (32 enodes) 1537433149.644 * * [misc]simplify: iters left: 3 (35 enodes) 1537433149.656 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433149.656 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433149.656 * * * * [misc]progress: [ 69 / 188 ] simplifiying candidate # 1537433149.656 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt 1))) 1537433149.658 * * [misc]simplify: iters left: 6 (8 enodes) 1537433149.662 * * [misc]simplify: iters left: 5 (14 enodes) 1537433149.666 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537433149.666 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433149.666 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433149.668 * * [misc]simplify: iters left: 6 (15 enodes) 1537433149.674 * * [misc]simplify: iters left: 5 (22 enodes) 1537433149.682 * * [misc]simplify: iters left: 4 (31 enodes) 1537433149.691 * * [misc]simplify: iters left: 3 (34 enodes) 1537433149.703 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433149.703 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433149.703 * * * * [misc]progress: [ 70 / 188 ] simplifiying candidate # 1537433149.703 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433149.705 * * [misc]simplify: iters left: 6 (16 enodes) 1537433149.711 * * [misc]simplify: iters left: 5 (26 enodes) 1537433149.721 * * [misc]simplify: iters left: 4 (39 enodes) 1537433149.736 * * [misc]simplify: iters left: 3 (55 enodes) 1537433149.758 * * [misc]simplify: iters left: 2 (78 enodes) 1537433149.777 * * [misc]simplify: iters left: 1 (138 enodes) 1537433149.818 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537433149.818 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433149.820 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433149.821 * * [misc]simplify: iters left: 6 (16 enodes) 1537433149.825 * * [misc]simplify: iters left: 5 (23 enodes) 1537433149.833 * * [misc]simplify: iters left: 4 (32 enodes) 1537433149.843 * * [misc]simplify: iters left: 3 (35 enodes) 1537433149.853 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433149.853 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433149.853 * * * * [misc]progress: [ 71 / 188 ] simplifiying candidate # 1537433149.853 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ 1 1)) 1537433149.854 * * [misc]simplify: iters left: 6 (7 enodes) 1537433149.855 * * [misc]simplify: iters left: 5 (11 enodes) 1537433149.857 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537433149.857 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433149.857 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433149.858 * * [misc]simplify: iters left: 6 (15 enodes) 1537433149.860 * * [misc]simplify: iters left: 5 (22 enodes) 1537433149.864 * * [misc]simplify: iters left: 4 (31 enodes) 1537433149.869 * * [misc]simplify: iters left: 3 (34 enodes) 1537433149.875 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433149.875 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433149.875 * * * * [misc]progress: [ 72 / 188 ] simplifiying candidate # 1537433149.875 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1537433149.876 * * [misc]simplify: iters left: 6 (6 enodes) 1537433149.877 * * [misc]simplify: iters left: 5 (10 enodes) 1537433149.879 * * [misc]simplify: iters left: 4 (16 enodes) 1537433149.882 * * [misc]simplify: iters left: 3 (18 enodes) 1537433149.884 * * [misc]simplify: iters left: 2 (23 enodes) 1537433149.887 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537433149.887 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433149.887 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433149.888 * * [misc]simplify: iters left: 6 (15 enodes) 1537433149.891 * * [misc]simplify: iters left: 5 (22 enodes) 1537433149.895 * * [misc]simplify: iters left: 4 (31 enodes) 1537433149.899 * * [misc]simplify: iters left: 3 (34 enodes) 1537433149.907 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433149.907 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433149.907 * * * * [misc]progress: [ 73 / 188 ] simplifiying candidate # 1537433149.907 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1537433149.908 * * [misc]simplify: iters left: 6 (12 enodes) 1537433149.911 * * [misc]simplify: iters left: 5 (19 enodes) 1537433149.914 * * [misc]simplify: iters left: 4 (27 enodes) 1537433149.918 * * [misc]simplify: iters left: 3 (29 enodes) 1537433149.923 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1537433149.923 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433149.923 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433149.924 * * [misc]simplify: iters left: 6 (14 enodes) 1537433149.926 * * [misc]simplify: iters left: 5 (22 enodes) 1537433149.931 * * [misc]simplify: iters left: 4 (31 enodes) 1537433149.937 * * [misc]simplify: iters left: 3 (42 enodes) 1537433149.942 * * [misc]simplify: iters left: 2 (44 enodes) 1537433149.951 * * [misc]simplify: iters left: 1 (49 enodes) 1537433149.965 * [exit]simplify: Simplified to (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k))) 1537433149.965 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))) 1537433149.965 * * * * [misc]progress: [ 74 / 188 ] simplifiying candidate # 1537433149.966 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433149.967 * * [misc]simplify: iters left: 6 (17 enodes) 1537433149.973 * * [misc]simplify: iters left: 5 (24 enodes) 1537433149.977 * * [misc]simplify: iters left: 4 (30 enodes) 1537433149.982 * * [misc]simplify: iters left: 3 (32 enodes) 1537433149.990 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) 1537433149.990 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433149.990 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433149.991 * * [misc]simplify: iters left: 6 (16 enodes) 1537433149.994 * * [misc]simplify: iters left: 5 (21 enodes) 1537433149.997 * * [misc]simplify: iters left: 4 (27 enodes) 1537433150.001 * * [misc]simplify: iters left: 3 (29 enodes) 1537433150.006 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537433150.006 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (cbrt (/ (sqrt (* n (* PI 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537433150.006 * * * * [misc]progress: [ 75 / 188 ] simplifiying candidate # 1537433150.007 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.007 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.010 * * [misc]simplify: iters left: 5 (21 enodes) 1537433150.014 * * [misc]simplify: iters left: 4 (27 enodes) 1537433150.018 * * [misc]simplify: iters left: 3 (29 enodes) 1537433150.023 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537433150.023 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.023 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.024 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.027 * * [misc]simplify: iters left: 5 (21 enodes) 1537433150.031 * * [misc]simplify: iters left: 4 (27 enodes) 1537433150.035 * * [misc]simplify: iters left: 3 (29 enodes) 1537433150.040 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537433150.040 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (pow (* (* PI 2) n) (/ k 2))))))))) 1537433150.040 * * * * [misc]progress: [ 76 / 188 ] simplifiying candidate # 1537433150.040 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433150.041 * * [misc]simplify: iters left: 6 (17 enodes) 1537433150.045 * * [misc]simplify: iters left: 5 (26 enodes) 1537433150.050 * * [misc]simplify: iters left: 4 (37 enodes) 1537433150.057 * * [misc]simplify: iters left: 3 (47 enodes) 1537433150.065 * * [misc]simplify: iters left: 2 (55 enodes) 1537433150.072 * * [misc]simplify: iters left: 1 (57 enodes) 1537433150.089 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) 1537433150.089 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.090 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.091 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.098 * * [misc]simplify: iters left: 5 (23 enodes) 1537433150.106 * * [misc]simplify: iters left: 4 (32 enodes) 1537433150.116 * * [misc]simplify: iters left: 3 (35 enodes) 1537433150.128 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537433150.128 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537433150.128 * * * * [misc]progress: [ 77 / 188 ] simplifiying candidate # 1537433150.129 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) 1537433150.130 * * [misc]simplify: iters left: 6 (12 enodes) 1537433150.135 * * [misc]simplify: iters left: 5 (15 enodes) 1537433150.140 * * [misc]simplify: iters left: 4 (18 enodes) 1537433150.145 * * [misc]simplify: iters left: 3 (20 enodes) 1537433150.152 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537433150.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (pow PI (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433150.153 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537433150.154 * * [misc]simplify: iters left: 6 (13 enodes) 1537433150.159 * * [misc]simplify: iters left: 5 (17 enodes) 1537433150.163 * * [misc]simplify: iters left: 4 (20 enodes) 1537433150.166 * * [misc]simplify: iters left: 3 (22 enodes) 1537433150.170 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2)))) 1537433150.170 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (pow PI (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* n 2) (/ k 2))))))) 1537433150.170 * * * * [misc]progress: [ 78 / 188 ] simplifiying candidate # 1537433150.170 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433150.171 * * [misc]simplify: iters left: 6 (17 enodes) 1537433150.175 * * [misc]simplify: iters left: 5 (25 enodes) 1537433150.179 * * [misc]simplify: iters left: 4 (34 enodes) 1537433150.184 * * [misc]simplify: iters left: 3 (37 enodes) 1537433150.191 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537433150.191 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.191 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.192 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.195 * * [misc]simplify: iters left: 5 (23 enodes) 1537433150.204 * * [misc]simplify: iters left: 4 (32 enodes) 1537433150.214 * * [misc]simplify: iters left: 3 (35 enodes) 1537433150.226 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537433150.226 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537433150.226 * * * * [misc]progress: [ 79 / 188 ] simplifiying candidate # 1537433150.226 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.228 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.234 * * [misc]simplify: iters left: 5 (23 enodes) 1537433150.242 * * [misc]simplify: iters left: 4 (32 enodes) 1537433150.252 * * [misc]simplify: iters left: 3 (35 enodes) 1537433150.264 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537433150.264 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.264 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.267 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.270 * * [misc]simplify: iters left: 5 (23 enodes) 1537433150.274 * * [misc]simplify: iters left: 4 (32 enodes) 1537433150.280 * * [misc]simplify: iters left: 3 (35 enodes) 1537433150.285 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537433150.285 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537433150.286 * * * * [misc]progress: [ 80 / 188 ] simplifiying candidate # 1537433150.286 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt 1))) 1537433150.286 * * [misc]simplify: iters left: 5 (10 enodes) 1537433150.289 * * [misc]simplify: iters left: 4 (15 enodes) 1537433150.291 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1537433150.291 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433150.291 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433150.292 * * [misc]simplify: iters left: 6 (15 enodes) 1537433150.298 * * [misc]simplify: iters left: 5 (22 enodes) 1537433150.306 * * [misc]simplify: iters left: 4 (31 enodes) 1537433150.312 * * [misc]simplify: iters left: 3 (34 enodes) 1537433150.317 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433150.317 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433150.317 * * * * [misc]progress: [ 81 / 188 ] simplifiying candidate # 1537433150.317 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.318 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.321 * * [misc]simplify: iters left: 5 (23 enodes) 1537433150.325 * * [misc]simplify: iters left: 4 (32 enodes) 1537433150.330 * * [misc]simplify: iters left: 3 (35 enodes) 1537433150.336 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1537433150.336 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.336 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.337 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.342 * * [misc]simplify: iters left: 5 (23 enodes) 1537433150.346 * * [misc]simplify: iters left: 4 (32 enodes) 1537433150.351 * * [misc]simplify: iters left: 3 (35 enodes) 1537433150.359 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1537433150.359 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2))))))) 1537433150.359 * * * * [misc]progress: [ 82 / 188 ] simplifiying candidate # 1537433150.359 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow PI 1/2) 1)) 1537433150.360 * * [misc]simplify: iters left: 5 (9 enodes) 1537433150.363 * * [misc]simplify: iters left: 4 (13 enodes) 1537433150.368 * * [misc]simplify: iters left: 3 (17 enodes) 1537433150.373 * * [misc]simplify: iters left: 2 (21 enodes) 1537433150.379 * * [misc]simplify: iters left: 1 (26 enodes) 1537433150.386 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1537433150.386 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433150.386 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433150.388 * * [misc]simplify: iters left: 6 (15 enodes) 1537433150.394 * * [misc]simplify: iters left: 5 (22 enodes) 1537433150.402 * * [misc]simplify: iters left: 4 (31 enodes) 1537433150.412 * * [misc]simplify: iters left: 3 (34 enodes) 1537433150.423 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433150.423 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433150.423 * * * * [misc]progress: [ 83 / 188 ] simplifiying candidate # 1537433150.423 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433150.425 * * [misc]simplify: iters left: 6 (19 enodes) 1537433150.433 * * [misc]simplify: iters left: 5 (32 enodes) 1537433150.446 * * [misc]simplify: iters left: 4 (56 enodes) 1537433150.471 * * [misc]simplify: iters left: 3 (82 enodes) 1537433150.492 * * [misc]simplify: iters left: 2 (114 enodes) 1537433150.512 * * [misc]simplify: iters left: 1 (137 enodes) 1537433150.589 * [exit]simplify: Simplified to (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI n) 2)))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt (* (* PI n) 2))))) 1537433150.590 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI n) 2)))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt (* (* PI n) 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.590 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.592 * * [misc]simplify: iters left: 6 (17 enodes) 1537433150.599 * * [misc]simplify: iters left: 5 (24 enodes) 1537433150.607 * * [misc]simplify: iters left: 4 (33 enodes) 1537433150.617 * * [misc]simplify: iters left: 3 (37 enodes) 1537433150.624 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433150.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI n) 2)))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (cbrt (sqrt (* (* PI n) 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433150.624 * * * * [misc]progress: [ 84 / 188 ] simplifiying candidate # 1537433150.624 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) 1537433150.625 * * [misc]simplify: iters left: 6 (17 enodes) 1537433150.629 * * [misc]simplify: iters left: 5 (26 enodes) 1537433150.634 * * [misc]simplify: iters left: 4 (39 enodes) 1537433150.641 * * [misc]simplify: iters left: 3 (53 enodes) 1537433150.649 * * [misc]simplify: iters left: 2 (58 enodes) 1537433150.664 * * [misc]simplify: iters left: 1 (65 enodes) 1537433150.680 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* n (* PI 2)))))) 1537433150.680 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* n (* PI 2)))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433150.680 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537433150.681 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.684 * * [misc]simplify: iters left: 5 (23 enodes) 1537433150.689 * * [misc]simplify: iters left: 4 (32 enodes) 1537433150.694 * * [misc]simplify: iters left: 3 (35 enodes) 1537433150.699 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537433150.699 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* n (* PI 2)))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537433150.699 * * * * [misc]progress: [ 85 / 188 ] simplifiying candidate # 1537433150.700 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433150.701 * * [misc]simplify: iters left: 6 (19 enodes) 1537433150.705 * * [misc]simplify: iters left: 5 (29 enodes) 1537433150.710 * * [misc]simplify: iters left: 4 (42 enodes) 1537433150.719 * * [misc]simplify: iters left: 3 (55 enodes) 1537433150.727 * * [misc]simplify: iters left: 2 (60 enodes) 1537433150.737 * * [misc]simplify: iters left: 1 (67 enodes) 1537433150.750 * [exit]simplify: Simplified to (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 (* PI n))))) (cbrt (sqrt (* 2 (* PI n))))) (fabs (cbrt (pow (* 2 (* PI n)) (/ k 2))))) 1537433150.750 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 (* PI n))))) (cbrt (sqrt (* 2 (* PI n))))) (fabs (cbrt (pow (* 2 (* PI n)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.751 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.752 * * [misc]simplify: iters left: 6 (17 enodes) 1537433150.758 * * [misc]simplify: iters left: 5 (24 enodes) 1537433150.767 * * [misc]simplify: iters left: 4 (33 enodes) 1537433150.777 * * [misc]simplify: iters left: 3 (37 enodes) 1537433150.791 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537433150.791 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 (* PI n))))) (cbrt (sqrt (* 2 (* PI n))))) (fabs (cbrt (pow (* 2 (* PI n)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433150.791 * * * * [misc]progress: [ 86 / 188 ] simplifiying candidate # 1537433150.791 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.793 * * [misc]simplify: iters left: 6 (18 enodes) 1537433150.800 * * [misc]simplify: iters left: 5 (27 enodes) 1537433150.811 * * [misc]simplify: iters left: 4 (40 enodes) 1537433150.826 * * [misc]simplify: iters left: 3 (53 enodes) 1537433150.842 * * [misc]simplify: iters left: 2 (58 enodes) 1537433150.861 * * [misc]simplify: iters left: 1 (65 enodes) 1537433150.889 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) 1537433150.889 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433150.889 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433150.891 * * [misc]simplify: iters left: 6 (17 enodes) 1537433150.898 * * [misc]simplify: iters left: 5 (24 enodes) 1537433150.906 * * [misc]simplify: iters left: 4 (33 enodes) 1537433150.915 * * [misc]simplify: iters left: 3 (37 enodes) 1537433150.921 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433150.921 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433150.921 * * * * [misc]progress: [ 87 / 188 ] simplifiying candidate # 1537433150.921 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) 1537433150.922 * * [misc]simplify: iters left: 6 (16 enodes) 1537433150.926 * * [misc]simplify: iters left: 5 (27 enodes) 1537433150.931 * * [misc]simplify: iters left: 4 (37 enodes) 1537433150.938 * * [misc]simplify: iters left: 3 (52 enodes) 1537433150.961 * * [misc]simplify: iters left: 2 (95 enodes) 1537433151.000 * * [misc]simplify: iters left: 1 (124 enodes) 1537433151.028 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1537433151.028 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433151.028 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433151.030 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.036 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.044 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.054 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.065 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537433151.065 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537433151.065 * * * * [misc]progress: [ 88 / 188 ] simplifiying candidate # 1537433151.065 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.066 * * [misc]simplify: iters left: 6 (18 enodes) 1537433151.070 * * [misc]simplify: iters left: 5 (27 enodes) 1537433151.076 * * [misc]simplify: iters left: 4 (40 enodes) 1537433151.084 * * [misc]simplify: iters left: 3 (53 enodes) 1537433151.092 * * [misc]simplify: iters left: 2 (58 enodes) 1537433151.100 * * [misc]simplify: iters left: 1 (65 enodes) 1537433151.116 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) 1537433151.116 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.116 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.118 * * [misc]simplify: iters left: 6 (17 enodes) 1537433151.124 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.133 * * [misc]simplify: iters left: 4 (33 enodes) 1537433151.144 * * [misc]simplify: iters left: 3 (37 enodes) 1537433151.157 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.157 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433151.157 * * * * [misc]progress: [ 89 / 188 ] simplifiying candidate # 1537433151.157 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) 1537433151.159 * * [misc]simplify: iters left: 6 (15 enodes) 1537433151.165 * * [misc]simplify: iters left: 5 (26 enodes) 1537433151.176 * * [misc]simplify: iters left: 4 (43 enodes) 1537433151.192 * * [misc]simplify: iters left: 3 (51 enodes) 1537433151.209 * * [misc]simplify: iters left: 2 (71 enodes) 1537433151.234 * * [misc]simplify: iters left: 1 (91 enodes) 1537433151.256 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2)))))) 1537433151.256 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2)))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433151.256 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433151.257 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.260 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.264 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.269 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.276 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537433151.276 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2)))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (* (* PI 2) n))))))) 1537433151.276 * * * * [misc]progress: [ 90 / 188 ] simplifiying candidate # 1537433151.276 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433151.277 * * [misc]simplify: iters left: 6 (18 enodes) 1537433151.281 * * [misc]simplify: iters left: 5 (27 enodes) 1537433151.288 * * [misc]simplify: iters left: 4 (38 enodes) 1537433151.295 * * [misc]simplify: iters left: 3 (48 enodes) 1537433151.302 * * [misc]simplify: iters left: 2 (56 enodes) 1537433151.309 * * [misc]simplify: iters left: 1 (58 enodes) 1537433151.322 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))))) 1537433151.322 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.323 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.323 * * [misc]simplify: iters left: 6 (17 enodes) 1537433151.327 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.331 * * [misc]simplify: iters left: 4 (33 enodes) 1537433151.336 * * [misc]simplify: iters left: 3 (37 enodes) 1537433151.342 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.342 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433151.342 * * * * [misc]progress: [ 91 / 188 ] simplifiying candidate # 1537433151.343 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) 1537433151.344 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.347 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.356 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.366 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.375 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537433151.375 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433151.375 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537433151.376 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.379 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.383 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.388 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.394 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537433151.394 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537433151.394 * * * * [misc]progress: [ 92 / 188 ] simplifiying candidate # 1537433151.394 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433151.395 * * [misc]simplify: iters left: 6 (18 enodes) 1537433151.399 * * [misc]simplify: iters left: 5 (26 enodes) 1537433151.403 * * [misc]simplify: iters left: 4 (35 enodes) 1537433151.409 * * [misc]simplify: iters left: 3 (39 enodes) 1537433151.416 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (fabs (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.416 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (fabs (cbrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.416 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.418 * * [misc]simplify: iters left: 6 (17 enodes) 1537433151.425 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.433 * * [misc]simplify: iters left: 4 (33 enodes) 1537433151.446 * * [misc]simplify: iters left: 3 (37 enodes) 1537433151.455 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.455 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (fabs (cbrt (pow (* n (* PI 2)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (cbrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433151.455 * * * * [misc]progress: [ 93 / 188 ] simplifiying candidate # 1537433151.456 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.457 * * [misc]simplify: iters left: 6 (17 enodes) 1537433151.461 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.465 * * [misc]simplify: iters left: 4 (33 enodes) 1537433151.470 * * [misc]simplify: iters left: 3 (37 enodes) 1537433151.477 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.477 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.477 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.478 * * [misc]simplify: iters left: 6 (17 enodes) 1537433151.481 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.485 * * [misc]simplify: iters left: 4 (33 enodes) 1537433151.490 * * [misc]simplify: iters left: 3 (37 enodes) 1537433151.497 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.497 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433151.497 * * * * [misc]progress: [ 94 / 188 ] simplifiying candidate # 1537433151.497 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) 1537433151.498 * * [misc]simplify: iters left: 6 (15 enodes) 1537433151.501 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.505 * * [misc]simplify: iters left: 4 (30 enodes) 1537433151.511 * * [misc]simplify: iters left: 3 (38 enodes) 1537433151.518 * * [misc]simplify: iters left: 2 (41 enodes) 1537433151.527 * * [misc]simplify: iters left: 1 (45 enodes) 1537433151.537 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) 1537433151.537 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433151.537 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433151.539 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.544 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.549 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.554 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.560 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537433151.560 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537433151.560 * * * * [misc]progress: [ 95 / 188 ] simplifiying candidate # 1537433151.560 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.561 * * [misc]simplify: iters left: 6 (17 enodes) 1537433151.565 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.569 * * [misc]simplify: iters left: 4 (33 enodes) 1537433151.574 * * [misc]simplify: iters left: 3 (37 enodes) 1537433151.581 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.581 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.581 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.582 * * [misc]simplify: iters left: 6 (17 enodes) 1537433151.585 * * [misc]simplify: iters left: 5 (24 enodes) 1537433151.589 * * [misc]simplify: iters left: 4 (33 enodes) 1537433151.597 * * [misc]simplify: iters left: 3 (37 enodes) 1537433151.612 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) 1537433151.613 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt (pow (* n (* PI 2)) (/ k 2)))))))) 1537433151.613 * * * * [misc]progress: [ 96 / 188 ] simplifiying candidate # 1537433151.613 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) 1537433151.614 * * [misc]simplify: iters left: 6 (14 enodes) 1537433151.620 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.629 * * [misc]simplify: iters left: 4 (36 enodes) 1537433151.639 * * [misc]simplify: iters left: 3 (41 enodes) 1537433151.650 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) 1537433151.650 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433151.650 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433151.652 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.658 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.667 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.676 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.688 * [exit]simplify: Simplified to (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n)))) 1537433151.688 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (/ (* (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (sqrt (sqrt (* (* PI 2) n))))))) 1537433151.688 * * * * [misc]progress: [ 97 / 188 ] simplifiying candidate # 1537433151.689 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433151.690 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.696 * * [misc]simplify: iters left: 5 (26 enodes) 1537433151.706 * * [misc]simplify: iters left: 4 (37 enodes) 1537433151.720 * * [misc]simplify: iters left: 3 (52 enodes) 1537433151.732 * * [misc]simplify: iters left: 2 (61 enodes) 1537433151.742 * * [misc]simplify: iters left: 1 (71 enodes) 1537433151.768 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) 1537433151.768 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.768 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.769 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.776 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.784 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.795 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.807 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433151.807 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (* (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* (* PI n) 2) (/ k 2))))) (* (cbrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433151.807 * * * * [misc]progress: [ 98 / 188 ] simplifiying candidate # 1537433151.807 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (pow PI (/ k 2))))) 1537433151.808 * * [misc]simplify: iters left: 6 (11 enodes) 1537433151.812 * * [misc]simplify: iters left: 5 (15 enodes) 1537433151.817 * * [misc]simplify: iters left: 4 (18 enodes) 1537433151.825 * * [misc]simplify: iters left: 3 (28 enodes) 1537433151.833 * * [misc]simplify: iters left: 2 (30 enodes) 1537433151.837 * * [misc]simplify: iters left: 1 (35 enodes) 1537433151.842 * [exit]simplify: Simplified to (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) 1537433151.842 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433151.842 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537433151.843 * * [misc]simplify: iters left: 6 (15 enodes) 1537433151.848 * * [misc]simplify: iters left: 5 (22 enodes) 1537433151.852 * * [misc]simplify: iters left: 4 (31 enodes) 1537433151.857 * * [misc]simplify: iters left: 3 (34 enodes) 1537433151.862 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2)))) 1537433151.863 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (pow PI (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n 2) (/ k 2))))))) 1537433151.863 * * * * [misc]progress: [ 99 / 188 ] simplifiying candidate # 1537433151.863 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433151.864 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.867 * * [misc]simplify: iters left: 5 (25 enodes) 1537433151.871 * * [misc]simplify: iters left: 4 (34 enodes) 1537433151.878 * * [misc]simplify: iters left: 3 (45 enodes) 1537433151.888 * * [misc]simplify: iters left: 2 (47 enodes) 1537433151.899 * * [misc]simplify: iters left: 1 (52 enodes) 1537433151.914 * [exit]simplify: Simplified to (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) 1537433151.914 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.914 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.916 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.922 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.930 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.940 * * [misc]simplify: iters left: 3 (35 enodes) 1537433151.952 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433151.952 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (fabs (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433151.952 * * * * [misc]progress: [ 100 / 188 ] simplifiying candidate # 1537433151.952 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.953 * * [misc]simplify: iters left: 6 (15 enodes) 1537433151.956 * * [misc]simplify: iters left: 5 (23 enodes) 1537433151.961 * * [misc]simplify: iters left: 4 (32 enodes) 1537433151.967 * * [misc]simplify: iters left: 3 (43 enodes) 1537433151.973 * * [misc]simplify: iters left: 2 (45 enodes) 1537433151.979 * * [misc]simplify: iters left: 1 (50 enodes) 1537433151.993 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) 1537433151.993 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433151.994 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433151.995 * * [misc]simplify: iters left: 6 (16 enodes) 1537433151.998 * * [misc]simplify: iters left: 5 (23 enodes) 1537433152.003 * * [misc]simplify: iters left: 4 (32 enodes) 1537433152.008 * * [misc]simplify: iters left: 3 (35 enodes) 1537433152.018 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433152.018 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433152.018 * * * * [misc]progress: [ 101 / 188 ] simplifiying candidate # 1537433152.018 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt 1))) 1537433152.019 * * [misc]simplify: iters left: 5 (7 enodes) 1537433152.021 * * [misc]simplify: iters left: 4 (11 enodes) 1537433152.022 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537433152.022 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433152.023 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433152.023 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.027 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.031 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.038 * * [misc]simplify: iters left: 3 (34 enodes) 1537433152.043 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433152.043 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433152.043 * * * * [misc]progress: [ 102 / 188 ] simplifiying candidate # 1537433152.044 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.044 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.047 * * [misc]simplify: iters left: 5 (23 enodes) 1537433152.052 * * [misc]simplify: iters left: 4 (32 enodes) 1537433152.065 * * [misc]simplify: iters left: 3 (43 enodes) 1537433152.077 * * [misc]simplify: iters left: 2 (45 enodes) 1537433152.087 * * [misc]simplify: iters left: 1 (50 enodes) 1537433152.102 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) 1537433152.102 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.102 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.104 * * [misc]simplify: iters left: 6 (16 enodes) 1537433152.111 * * [misc]simplify: iters left: 5 (23 enodes) 1537433152.119 * * [misc]simplify: iters left: 4 (32 enodes) 1537433152.129 * * [misc]simplify: iters left: 3 (35 enodes) 1537433152.141 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) 1537433152.141 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))))) 1537433152.141 * * * * [misc]progress: [ 103 / 188 ] simplifiying candidate # 1537433152.141 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 1)) 1537433152.142 * * [misc]simplify: iters left: 4 (6 enodes) 1537433152.144 * * [misc]simplify: iters left: 3 (8 enodes) 1537433152.146 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537433152.146 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433152.147 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433152.148 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.154 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.165 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.174 * * [misc]simplify: iters left: 3 (34 enodes) 1537433152.185 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433152.185 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433152.185 * * * * [misc]progress: [ 104 / 188 ] simplifiying candidate # 1537433152.186 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1537433152.186 * * [misc]simplify: iters left: 4 (5 enodes) 1537433152.188 * * [misc]simplify: iters left: 3 (7 enodes) 1537433152.191 * * [misc]simplify: iters left: 2 (9 enodes) 1537433152.192 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537433152.192 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433152.193 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433152.194 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.200 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.208 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.218 * * [misc]simplify: iters left: 3 (34 enodes) 1537433152.229 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433152.229 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt k)) (* (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433152.229 * * * * [misc]progress: [ 105 / 188 ] simplifiying candidate # 1537433152.229 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1537433152.230 * * [misc]simplify: iters left: 6 (11 enodes) 1537433152.235 * * [misc]simplify: iters left: 5 (16 enodes) 1537433152.240 * * [misc]simplify: iters left: 4 (22 enodes) 1537433152.247 * * [misc]simplify: iters left: 3 (23 enodes) 1537433152.255 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1537433152.255 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433152.255 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433152.256 * * [misc]simplify: iters left: 6 (14 enodes) 1537433152.262 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.270 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.282 * * [misc]simplify: iters left: 3 (42 enodes) 1537433152.293 * * [misc]simplify: iters left: 2 (44 enodes) 1537433152.305 * * [misc]simplify: iters left: 1 (49 enodes) 1537433152.319 * [exit]simplify: Simplified to (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) 1537433152.319 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))) 1537433152.319 * * * * [misc]progress: [ 106 / 188 ] simplifiying candidate # 1537433152.319 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433152.321 * * [misc]simplify: iters left: 6 (16 enodes) 1537433152.327 * * [misc]simplify: iters left: 5 (25 enodes) 1537433152.335 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.344 * * [misc]simplify: iters left: 3 (32 enodes) 1537433152.356 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))) 1537433152.356 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (* (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))) (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.356 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.358 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.363 * * [misc]simplify: iters left: 5 (20 enodes) 1537433152.370 * * [misc]simplify: iters left: 4 (26 enodes) 1537433152.378 * * [misc]simplify: iters left: 3 (28 enodes) 1537433152.388 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.388 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (* (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (cbrt (/ (sqrt (* 2 (* n PI))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))) (/ (sqrt k) (cbrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.388 * * * * [misc]progress: [ 107 / 188 ] simplifiying candidate # 1537433152.388 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.390 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.395 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.402 * * [misc]simplify: iters left: 4 (28 enodes) 1537433152.410 * * [misc]simplify: iters left: 3 (29 enodes) 1537433152.420 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt (* n (* 2 PI))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))))) 1537433152.420 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (/ (sqrt (* n (* 2 PI))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))))) (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.420 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.422 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.428 * * [misc]simplify: iters left: 5 (20 enodes) 1537433152.437 * * [misc]simplify: iters left: 4 (26 enodes) 1537433152.445 * * [misc]simplify: iters left: 3 (28 enodes) 1537433152.454 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.454 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (/ (sqrt (* n (* 2 PI))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))))) (/ (sqrt k) (sqrt (/ (sqrt (* PI (* n 2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.454 * * * * [misc]progress: [ 108 / 188 ] simplifiying candidate # 1537433152.455 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433152.456 * * [misc]simplify: iters left: 6 (16 enodes) 1537433152.463 * * [misc]simplify: iters left: 5 (27 enodes) 1537433152.472 * * [misc]simplify: iters left: 4 (38 enodes) 1537433152.486 * * [misc]simplify: iters left: 3 (50 enodes) 1537433152.504 * * [misc]simplify: iters left: 2 (76 enodes) 1537433152.534 * * [misc]simplify: iters left: 1 (108 enodes) 1537433152.562 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt PI)) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) 1537433152.562 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt PI)) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.562 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.563 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.565 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.570 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.574 * * [misc]simplify: iters left: 3 (34 enodes) 1537433152.580 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (cbrt (sqrt (pow (* 2 (* PI n)) (/ k 2))))) 1537433152.580 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (sqrt PI)) (cbrt (sqrt (pow (* (* 2 PI) n) (/ k 2))))) (* (/ (sqrt k) (sqrt (* n 2))) (cbrt (sqrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537433152.580 * * * * [misc]progress: [ 109 / 188 ] simplifiying candidate # 1537433152.581 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) 1537433152.581 * * [misc]simplify: iters left: 6 (11 enodes) 1537433152.583 * * [misc]simplify: iters left: 5 (16 enodes) 1537433152.586 * * [misc]simplify: iters left: 4 (19 enodes) 1537433152.589 * * [misc]simplify: iters left: 3 (27 enodes) 1537433152.595 * * [misc]simplify: iters left: 2 (35 enodes) 1537433152.599 * * [misc]simplify: iters left: 1 (39 enodes) 1537433152.603 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ k 2))) (sqrt PI)) 1537433152.603 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433152.604 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537433152.604 * * [misc]simplify: iters left: 6 (12 enodes) 1537433152.606 * * [misc]simplify: iters left: 5 (16 enodes) 1537433152.609 * * [misc]simplify: iters left: 4 (19 enodes) 1537433152.612 * * [misc]simplify: iters left: 3 (21 enodes) 1537433152.615 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2)))) 1537433152.615 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt PI)) (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2))))))) 1537433152.615 * * * * [misc]progress: [ 110 / 188 ] simplifiying candidate # 1537433152.615 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433152.616 * * [misc]simplify: iters left: 6 (16 enodes) 1537433152.620 * * [misc]simplify: iters left: 5 (26 enodes) 1537433152.624 * * [misc]simplify: iters left: 4 (35 enodes) 1537433152.631 * * [misc]simplify: iters left: 3 (39 enodes) 1537433152.638 * * [misc]simplify: iters left: 2 (51 enodes) 1537433152.646 * * [misc]simplify: iters left: 1 (52 enodes) 1537433152.660 * [exit]simplify: Simplified to (/ (fabs (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) 1537433152.660 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.660 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.662 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.668 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.676 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.686 * * [misc]simplify: iters left: 3 (34 enodes) 1537433152.699 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (cbrt (pow (* 2 (* PI n)) (/ k 2))))) 1537433152.699 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (cbrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537433152.699 * * * * [misc]progress: [ 111 / 188 ] simplifiying candidate # 1537433152.700 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.701 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.707 * * [misc]simplify: iters left: 5 (24 enodes) 1537433152.716 * * [misc]simplify: iters left: 4 (33 enodes) 1537433152.727 * * [misc]simplify: iters left: 3 (43 enodes) 1537433152.740 * * [misc]simplify: iters left: 2 (51 enodes) 1537433152.753 * * [misc]simplify: iters left: 1 (55 enodes) 1537433152.771 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) 1537433152.771 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.771 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.773 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.778 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.787 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.796 * * [misc]simplify: iters left: 3 (34 enodes) 1537433152.808 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2))))) 1537433152.808 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537433152.808 * * * * [misc]progress: [ 112 / 188 ] simplifiying candidate # 1537433152.808 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt 1))) 1537433152.809 * * [misc]simplify: iters left: 5 (7 enodes) 1537433152.813 * * [misc]simplify: iters left: 4 (12 enodes) 1537433152.816 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1537433152.816 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433152.816 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433152.818 * * [misc]simplify: iters left: 6 (14 enodes) 1537433152.823 * * [misc]simplify: iters left: 5 (21 enodes) 1537433152.831 * * [misc]simplify: iters left: 4 (30 enodes) 1537433152.840 * * [misc]simplify: iters left: 3 (33 enodes) 1537433152.850 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2)))) 1537433152.850 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2))))))) 1537433152.850 * * * * [misc]progress: [ 113 / 188 ] simplifiying candidate # 1537433152.850 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.852 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.857 * * [misc]simplify: iters left: 5 (24 enodes) 1537433152.865 * * [misc]simplify: iters left: 4 (33 enodes) 1537433152.875 * * [misc]simplify: iters left: 3 (43 enodes) 1537433152.888 * * [misc]simplify: iters left: 2 (51 enodes) 1537433152.903 * * [misc]simplify: iters left: 1 (55 enodes) 1537433152.915 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) 1537433152.915 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433152.916 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433152.917 * * [misc]simplify: iters left: 6 (15 enodes) 1537433152.923 * * [misc]simplify: iters left: 5 (22 enodes) 1537433152.930 * * [misc]simplify: iters left: 4 (31 enodes) 1537433152.939 * * [misc]simplify: iters left: 3 (34 enodes) 1537433152.949 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2))))) 1537433152.949 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (sqrt PI)) (* (/ (sqrt k) (sqrt (* n 2))) (sqrt (sqrt (pow (* 2 (* PI n)) (/ k 2)))))))) 1537433152.949 * * * * [misc]progress: [ 114 / 188 ] simplifiying candidate # 1537433152.950 * [enter]simplify: Simplifying (/ 1 (/ (pow PI 1/2) 1)) 1537433152.950 * * [misc]simplify: iters left: 5 (6 enodes) 1537433152.953 * * [misc]simplify: iters left: 4 (10 enodes) 1537433152.956 * * [misc]simplify: iters left: 3 (14 enodes) 1537433152.960 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1537433152.960 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433152.960 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433152.961 * * [misc]simplify: iters left: 6 (14 enodes) 1537433152.967 * * [misc]simplify: iters left: 5 (21 enodes) 1537433152.974 * * [misc]simplify: iters left: 4 (30 enodes) 1537433152.982 * * [misc]simplify: iters left: 3 (33 enodes) 1537433152.992 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2)))) 1537433152.992 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt PI)) (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (/ (sqrt k) (sqrt (* n 2))))))) 1537433152.992 * * * * [misc]progress: [ 115 / 188 ] simplifiying candidate # 1537433152.992 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433152.994 * * [misc]simplify: iters left: 6 (18 enodes) 1537433153.001 * * [misc]simplify: iters left: 5 (33 enodes) 1537433153.014 * * [misc]simplify: iters left: 4 (57 enodes) 1537433153.035 * * [misc]simplify: iters left: 3 (79 enodes) 1537433153.072 * * [misc]simplify: iters left: 2 (180 enodes) 1537433153.246 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI)))))) 1537433153.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI)))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433153.246 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433153.248 * * [misc]simplify: iters left: 6 (16 enodes) 1537433153.254 * * [misc]simplify: iters left: 5 (23 enodes) 1537433153.262 * * [misc]simplify: iters left: 4 (32 enodes) 1537433153.271 * * [misc]simplify: iters left: 3 (36 enodes) 1537433153.284 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537433153.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (/ (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (* 2 (* n PI)))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537433153.284 * * * * [misc]progress: [ 116 / 188 ] simplifiying candidate # 1537433153.284 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) 1537433153.286 * * [misc]simplify: iters left: 6 (16 enodes) 1537433153.290 * * [misc]simplify: iters left: 5 (27 enodes) 1537433153.295 * * [misc]simplify: iters left: 4 (40 enodes) 1537433153.303 * * [misc]simplify: iters left: 3 (61 enodes) 1537433153.319 * * [misc]simplify: iters left: 2 (101 enodes) 1537433153.343 * * [misc]simplify: iters left: 1 (187 enodes) 1537433153.440 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) 1537433153.440 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433153.440 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537433153.441 * * [misc]simplify: iters left: 6 (15 enodes) 1537433153.444 * * [misc]simplify: iters left: 5 (22 enodes) 1537433153.448 * * [misc]simplify: iters left: 4 (31 enodes) 1537433153.458 * * [misc]simplify: iters left: 3 (35 enodes) 1537433153.470 * [exit]simplify: Simplified to (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537433153.470 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ (sqrt (pow PI (/ k 2))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (cbrt (sqrt (* PI (* n 2)))))))) 1537433153.470 * * * * [misc]progress: [ 117 / 188 ] simplifiying candidate # 1537433153.470 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433153.472 * * [misc]simplify: iters left: 6 (18 enodes) 1537433153.484 * * [misc]simplify: iters left: 5 (30 enodes) 1537433153.495 * * [misc]simplify: iters left: 4 (43 enodes) 1537433153.509 * * [misc]simplify: iters left: 3 (54 enodes) 1537433153.531 * * [misc]simplify: iters left: 2 (79 enodes) 1537433153.558 * * [misc]simplify: iters left: 1 (104 enodes) 1537433153.607 * [exit]simplify: Simplified to (/ (fabs (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2)))))) 1537433153.607 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2)))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433153.607 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433153.609 * * [misc]simplify: iters left: 6 (16 enodes) 1537433153.618 * * [misc]simplify: iters left: 5 (23 enodes) 1537433153.626 * * [misc]simplify: iters left: 4 (32 enodes) 1537433153.637 * * [misc]simplify: iters left: 3 (36 enodes) 1537433153.649 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537433153.649 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2)))))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537433153.649 * * * * [misc]progress: [ 118 / 188 ] simplifiying candidate # 1537433153.650 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433153.652 * * [misc]simplify: iters left: 6 (17 enodes) 1537433153.658 * * [misc]simplify: iters left: 5 (28 enodes) 1537433153.669 * * [misc]simplify: iters left: 4 (41 enodes) 1537433153.684 * * [misc]simplify: iters left: 3 (62 enodes) 1537433153.710 * * [misc]simplify: iters left: 2 (100 enodes) 1537433153.757 * * [misc]simplify: iters left: 1 (182 enodes) 1537433153.817 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) 1537433153.817 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433153.821 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433153.822 * * [misc]simplify: iters left: 6 (16 enodes) 1537433153.828 * * [misc]simplify: iters left: 5 (23 enodes) 1537433153.832 * * [misc]simplify: iters left: 4 (32 enodes) 1537433153.837 * * [misc]simplify: iters left: 3 (36 enodes) 1537433153.843 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537433153.843 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537433153.843 * * * * [misc]progress: [ 119 / 188 ] simplifiying candidate # 1537433153.843 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) 1537433153.844 * * [misc]simplify: iters left: 6 (13 enodes) 1537433153.848 * * [misc]simplify: iters left: 5 (24 enodes) 1537433153.852 * * [misc]simplify: iters left: 4 (33 enodes) 1537433153.858 * * [misc]simplify: iters left: 3 (41 enodes) 1537433153.866 * * [misc]simplify: iters left: 2 (60 enodes) 1537433153.884 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) 1537433153.884 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433153.884 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433153.886 * * [misc]simplify: iters left: 6 (15 enodes) 1537433153.892 * * [misc]simplify: iters left: 5 (22 enodes) 1537433153.900 * * [misc]simplify: iters left: 4 (31 enodes) 1537433153.907 * * [misc]simplify: iters left: 3 (35 enodes) 1537433153.915 * [exit]simplify: Simplified to (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433153.915 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433153.915 * * * * [misc]progress: [ 120 / 188 ] simplifiying candidate # 1537433153.915 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433153.916 * * [misc]simplify: iters left: 6 (17 enodes) 1537433153.919 * * [misc]simplify: iters left: 5 (28 enodes) 1537433153.924 * * [misc]simplify: iters left: 4 (41 enodes) 1537433153.932 * * [misc]simplify: iters left: 3 (62 enodes) 1537433153.946 * * [misc]simplify: iters left: 2 (100 enodes) 1537433153.976 * * [misc]simplify: iters left: 1 (182 enodes) 1537433154.068 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) 1537433154.068 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433154.068 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.069 * * [misc]simplify: iters left: 6 (16 enodes) 1537433154.075 * * [misc]simplify: iters left: 5 (23 enodes) 1537433154.084 * * [misc]simplify: iters left: 4 (32 enodes) 1537433154.094 * * [misc]simplify: iters left: 3 (36 enodes) 1537433154.106 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI)))))) 1537433154.106 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* 2 PI))))))))) 1537433154.106 * * * * [misc]progress: [ 121 / 188 ] simplifiying candidate # 1537433154.107 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) 1537433154.110 * * [misc]simplify: iters left: 6 (12 enodes) 1537433154.116 * * [misc]simplify: iters left: 5 (23 enodes) 1537433154.126 * * [misc]simplify: iters left: 4 (38 enodes) 1537433154.139 * * [misc]simplify: iters left: 3 (56 enodes) 1537433154.159 * * [misc]simplify: iters left: 2 (93 enodes) 1537433154.189 * * [misc]simplify: iters left: 1 (100 enodes) 1537433154.202 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt (* (* n PI) 2)))) (/ 1 (cbrt (sqrt (* (* n PI) 2))))) 1537433154.202 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ 1 (cbrt (sqrt (* (* n PI) 2)))) (/ 1 (cbrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433154.202 * [enter]simplify: Simplifying (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433154.204 * * [misc]simplify: iters left: 6 (15 enodes) 1537433154.210 * * [misc]simplify: iters left: 5 (22 enodes) 1537433154.218 * * [misc]simplify: iters left: 4 (31 enodes) 1537433154.228 * * [misc]simplify: iters left: 3 (35 enodes) 1537433154.240 * [exit]simplify: Simplified to (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433154.240 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (/ 1 (cbrt (sqrt (* (* n PI) 2)))) (/ 1 (cbrt (sqrt (* (* n PI) 2))))) (* (/ (sqrt k) (cbrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433154.240 * * * * [misc]progress: [ 122 / 188 ] simplifiying candidate # 1537433154.241 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433154.245 * * [misc]simplify: iters left: 6 (17 enodes) 1537433154.252 * * [misc]simplify: iters left: 5 (28 enodes) 1537433154.262 * * [misc]simplify: iters left: 4 (39 enodes) 1537433154.275 * * [misc]simplify: iters left: 3 (51 enodes) 1537433154.294 * * [misc]simplify: iters left: 2 (77 enodes) 1537433154.320 * * [misc]simplify: iters left: 1 (128 enodes) 1537433154.359 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2))))) 1537433154.359 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2))))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433154.360 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.361 * * [misc]simplify: iters left: 6 (16 enodes) 1537433154.364 * * [misc]simplify: iters left: 5 (23 enodes) 1537433154.368 * * [misc]simplify: iters left: 4 (32 enodes) 1537433154.373 * * [misc]simplify: iters left: 3 (36 enodes) 1537433154.379 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537433154.379 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2))))) (* (cbrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537433154.379 * * * * [misc]progress: [ 123 / 188 ] simplifiying candidate # 1537433154.379 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) 1537433154.380 * * [misc]simplify: iters left: 6 (15 enodes) 1537433154.384 * * [misc]simplify: iters left: 5 (24 enodes) 1537433154.388 * * [misc]simplify: iters left: 4 (33 enodes) 1537433154.393 * * [misc]simplify: iters left: 3 (42 enodes) 1537433154.400 * * [misc]simplify: iters left: 2 (50 enodes) 1537433154.407 * * [misc]simplify: iters left: 1 (60 enodes) 1537433154.417 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ k 2))) (sqrt (sqrt (* (* 2 PI) n)))) 1537433154.418 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433154.418 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2))))) 1537433154.419 * * [misc]simplify: iters left: 6 (15 enodes) 1537433154.421 * * [misc]simplify: iters left: 5 (22 enodes) 1537433154.427 * * [misc]simplify: iters left: 4 (31 enodes) 1537433154.437 * * [misc]simplify: iters left: 3 (35 enodes) 1537433154.449 * [exit]simplify: Simplified to (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537433154.449 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (pow PI (/ k 2))) (sqrt (sqrt (* (* 2 PI) n)))) (/ (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))) (sqrt (sqrt (* PI (* n 2)))))))) 1537433154.449 * * * * [misc]progress: [ 124 / 188 ] simplifiying candidate # 1537433154.449 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433154.451 * * [misc]simplify: iters left: 6 (17 enodes) 1537433154.458 * * [misc]simplify: iters left: 5 (27 enodes) 1537433154.466 * * [misc]simplify: iters left: 4 (36 enodes) 1537433154.477 * * [misc]simplify: iters left: 3 (39 enodes) 1537433154.490 * * [misc]simplify: iters left: 2 (51 enodes) 1537433154.504 * * [misc]simplify: iters left: 1 (59 enodes) 1537433154.522 * [exit]simplify: Simplified to (/ (fabs (cbrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2)))) 1537433154.522 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433154.522 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.524 * * [misc]simplify: iters left: 6 (16 enodes) 1537433154.530 * * [misc]simplify: iters left: 5 (23 enodes) 1537433154.538 * * [misc]simplify: iters left: 4 (32 enodes) 1537433154.552 * * [misc]simplify: iters left: 3 (36 enodes) 1537433154.564 * [exit]simplify: Simplified to (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537433154.564 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (fabs (cbrt (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt (* (* n PI) 2)))) (* (sqrt (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537433154.564 * * * * [misc]progress: [ 125 / 188 ] simplifiying candidate # 1537433154.565 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.566 * * [misc]simplify: iters left: 6 (16 enodes) 1537433154.572 * * [misc]simplify: iters left: 5 (25 enodes) 1537433154.581 * * [misc]simplify: iters left: 4 (34 enodes) 1537433154.592 * * [misc]simplify: iters left: 3 (43 enodes) 1537433154.607 * * [misc]simplify: iters left: 2 (52 enodes) 1537433154.621 * * [misc]simplify: iters left: 1 (64 enodes) 1537433154.644 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) 1537433154.644 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433154.644 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.646 * * [misc]simplify: iters left: 6 (16 enodes) 1537433154.652 * * [misc]simplify: iters left: 5 (23 enodes) 1537433154.660 * * [misc]simplify: iters left: 4 (32 enodes) 1537433154.670 * * [misc]simplify: iters left: 3 (36 enodes) 1537433154.685 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537433154.686 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537433154.686 * * * * [misc]progress: [ 126 / 188 ] simplifiying candidate # 1537433154.686 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) 1537433154.687 * * [misc]simplify: iters left: 6 (12 enodes) 1537433154.693 * * [misc]simplify: iters left: 5 (21 enodes) 1537433154.700 * * [misc]simplify: iters left: 4 (27 enodes) 1537433154.709 * * [misc]simplify: iters left: 3 (34 enodes) 1537433154.717 * * [misc]simplify: iters left: 2 (35 enodes) 1537433154.725 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* n PI) 2)))) 1537433154.725 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433154.725 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433154.727 * * [misc]simplify: iters left: 6 (15 enodes) 1537433154.733 * * [misc]simplify: iters left: 5 (22 enodes) 1537433154.740 * * [misc]simplify: iters left: 4 (31 enodes) 1537433154.750 * * [misc]simplify: iters left: 3 (35 enodes) 1537433154.759 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433154.759 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433154.759 * * * * [misc]progress: [ 127 / 188 ] simplifiying candidate # 1537433154.759 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.760 * * [misc]simplify: iters left: 6 (16 enodes) 1537433154.764 * * [misc]simplify: iters left: 5 (25 enodes) 1537433154.768 * * [misc]simplify: iters left: 4 (34 enodes) 1537433154.774 * * [misc]simplify: iters left: 3 (43 enodes) 1537433154.781 * * [misc]simplify: iters left: 2 (52 enodes) 1537433154.790 * * [misc]simplify: iters left: 1 (64 enodes) 1537433154.806 * [exit]simplify: Simplified to (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) 1537433154.806 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433154.807 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.808 * * [misc]simplify: iters left: 6 (16 enodes) 1537433154.815 * * [misc]simplify: iters left: 5 (23 enodes) 1537433154.823 * * [misc]simplify: iters left: 4 (32 enodes) 1537433154.833 * * [misc]simplify: iters left: 3 (36 enodes) 1537433154.840 * [exit]simplify: Simplified to (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI)))))) 1537433154.840 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (* (sqrt (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))))))) 1537433154.840 * * * * [misc]progress: [ 128 / 188 ] simplifiying candidate # 1537433154.841 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) 1537433154.841 * * [misc]simplify: iters left: 6 (11 enodes) 1537433154.844 * * [misc]simplify: iters left: 5 (20 enodes) 1537433154.848 * * [misc]simplify: iters left: 4 (32 enodes) 1537433154.852 * * [misc]simplify: iters left: 3 (33 enodes) 1537433154.856 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* n PI) 2)))) 1537433154.856 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433154.857 * [enter]simplify: Simplifying (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433154.857 * * [misc]simplify: iters left: 6 (15 enodes) 1537433154.860 * * [misc]simplify: iters left: 5 (22 enodes) 1537433154.865 * * [misc]simplify: iters left: 4 (31 enodes) 1537433154.870 * * [misc]simplify: iters left: 3 (35 enodes) 1537433154.876 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433154.876 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (sqrt (* (* n PI) 2)))) (* (/ (sqrt k) (sqrt (sqrt (* PI (* n 2))))) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433154.876 * * * * [misc]progress: [ 129 / 188 ] simplifiying candidate # 1537433154.876 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433154.879 * * [misc]simplify: iters left: 6 (14 enodes) 1537433154.882 * * [misc]simplify: iters left: 5 (24 enodes) 1537433154.886 * * [misc]simplify: iters left: 4 (31 enodes) 1537433154.891 * * [misc]simplify: iters left: 3 (38 enodes) 1537433154.896 * * [misc]simplify: iters left: 2 (40 enodes) 1537433154.901 * [exit]simplify: Simplified to (* (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2))))) 1537433154.901 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433154.902 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.902 * * [misc]simplify: iters left: 6 (15 enodes) 1537433154.905 * * [misc]simplify: iters left: 5 (22 enodes) 1537433154.909 * * [misc]simplify: iters left: 4 (31 enodes) 1537433154.914 * * [misc]simplify: iters left: 3 (35 enodes) 1537433154.920 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433154.920 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (* (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (pow (* 2 (* n PI)) (/ k 2))))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433154.920 * * * * [misc]progress: [ 130 / 188 ] simplifiying candidate # 1537433154.920 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow PI (/ k 2))))) 1537433154.921 * * [misc]simplify: iters left: 6 (9 enodes) 1537433154.923 * * [misc]simplify: iters left: 5 (13 enodes) 1537433154.925 * * [misc]simplify: iters left: 4 (14 enodes) 1537433154.928 * * [misc]simplify: iters left: 3 (18 enodes) 1537433154.932 * [exit]simplify: Simplified to (sqrt (pow PI (/ k 2))) 1537433154.932 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))))))) 1537433154.932 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2))))) 1537433154.934 * * [misc]simplify: iters left: 6 (14 enodes) 1537433154.939 * * [misc]simplify: iters left: 5 (21 enodes) 1537433154.947 * * [misc]simplify: iters left: 4 (30 enodes) 1537433154.956 * * [misc]simplify: iters left: 3 (34 enodes) 1537433154.971 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537433154.971 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (pow PI (/ k 2))) (* (sqrt (pow (* n 2) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537433154.971 * * * * [misc]progress: [ 131 / 188 ] simplifiying candidate # 1537433154.971 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433154.973 * * [misc]simplify: iters left: 6 (14 enodes) 1537433154.979 * * [misc]simplify: iters left: 5 (23 enodes) 1537433154.986 * * [misc]simplify: iters left: 4 (30 enodes) 1537433154.992 * * [misc]simplify: iters left: 3 (35 enodes) 1537433154.996 * [exit]simplify: Simplified to (fabs (cbrt (pow (* (* 2 PI) n) (/ k 2)))) 1537433154.996 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (fabs (cbrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433154.997 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433154.997 * * [misc]simplify: iters left: 6 (15 enodes) 1537433155.000 * * [misc]simplify: iters left: 5 (22 enodes) 1537433155.004 * * [misc]simplify: iters left: 4 (31 enodes) 1537433155.009 * * [misc]simplify: iters left: 3 (35 enodes) 1537433155.015 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.015 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (fabs (cbrt (pow (* (* 2 PI) n) (/ k 2)))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433155.015 * * * * [misc]progress: [ 132 / 188 ] simplifiying candidate # 1537433155.015 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433155.016 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.019 * * [misc]simplify: iters left: 5 (21 enodes) 1537433155.023 * * [misc]simplify: iters left: 4 (28 enodes) 1537433155.028 * * [misc]simplify: iters left: 3 (33 enodes) 1537433155.032 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) 1537433155.032 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433155.033 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433155.034 * * [misc]simplify: iters left: 6 (15 enodes) 1537433155.036 * * [misc]simplify: iters left: 5 (22 enodes) 1537433155.040 * * [misc]simplify: iters left: 4 (31 enodes) 1537433155.045 * * [misc]simplify: iters left: 3 (35 enodes) 1537433155.053 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.053 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433155.053 * * * * [misc]progress: [ 133 / 188 ] simplifiying candidate # 1537433155.053 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt 1))) 1537433155.053 * * [misc]simplify: iters left: 5 (4 enodes) 1537433155.055 * * [misc]simplify: iters left: 4 (8 enodes) 1537433155.056 * [exit]simplify: Simplified to 1 1537433155.056 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433155.056 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.057 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.060 * * [misc]simplify: iters left: 5 (21 enodes) 1537433155.064 * * [misc]simplify: iters left: 4 (30 enodes) 1537433155.068 * * [misc]simplify: iters left: 3 (34 enodes) 1537433155.074 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537433155.074 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537433155.074 * * * * [misc]progress: [ 134 / 188 ] simplifiying candidate # 1537433155.074 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433155.075 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.078 * * [misc]simplify: iters left: 5 (21 enodes) 1537433155.082 * * [misc]simplify: iters left: 4 (28 enodes) 1537433155.087 * * [misc]simplify: iters left: 3 (33 enodes) 1537433155.091 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) 1537433155.091 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))))) 1537433155.091 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) 1537433155.092 * * [misc]simplify: iters left: 6 (15 enodes) 1537433155.095 * * [misc]simplify: iters left: 5 (22 enodes) 1537433155.099 * * [misc]simplify: iters left: 4 (31 enodes) 1537433155.104 * * [misc]simplify: iters left: 3 (35 enodes) 1537433155.112 * [exit]simplify: Simplified to (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.112 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt (sqrt (pow (* (* n PI) 2) (/ k 2)))) (* (/ (sqrt k) (sqrt (* PI (* n 2)))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433155.112 * * * * [misc]progress: [ 135 / 188 ] simplifiying candidate # 1537433155.113 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1537433155.113 * * [misc]simplify: iters left: 4 (3 enodes) 1537433155.114 * * [misc]simplify: iters left: 3 (5 enodes) 1537433155.115 * [exit]simplify: Simplified to 1 1537433155.115 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433155.115 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.117 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.122 * * [misc]simplify: iters left: 5 (21 enodes) 1537433155.133 * * [misc]simplify: iters left: 4 (30 enodes) 1537433155.142 * * [misc]simplify: iters left: 3 (34 enodes) 1537433155.154 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537433155.154 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537433155.154 * * * * [misc]progress: [ 136 / 188 ] simplifiying candidate # 1537433155.154 * [enter]simplify: Simplifying (/ 1 1) 1537433155.155 * * [misc]simplify: iters left: 2 (2 enodes) 1537433155.156 * * [misc]simplify: iters left: 1 (4 enodes) 1537433155.156 * [exit]simplify: Simplified to 1 1537433155.156 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433155.157 * [enter]simplify: Simplifying (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.158 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.163 * * [misc]simplify: iters left: 5 (21 enodes) 1537433155.171 * * [misc]simplify: iters left: 4 (30 enodes) 1537433155.180 * * [misc]simplify: iters left: 3 (34 enodes) 1537433155.192 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI))))) 1537433155.192 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* 1 (* (sqrt (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt k) (sqrt (* n (* 2 PI)))))))) 1537433155.192 * * * * [misc]progress: [ 137 / 188 ] simplifiying candidate # 1537433155.192 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1537433155.193 * * [misc]simplify: iters left: 6 (9 enodes) 1537433155.197 * * [misc]simplify: iters left: 5 (16 enodes) 1537433155.202 * * [misc]simplify: iters left: 4 (22 enodes) 1537433155.209 * * [misc]simplify: iters left: 3 (23 enodes) 1537433155.215 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1537433155.215 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1537433155.216 * [enter]simplify: Simplifying (/ (sqrt k) (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.217 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.222 * * [misc]simplify: iters left: 5 (21 enodes) 1537433155.229 * * [misc]simplify: iters left: 4 (30 enodes) 1537433155.241 * * [misc]simplify: iters left: 3 (42 enodes) 1537433155.252 * * [misc]simplify: iters left: 2 (44 enodes) 1537433155.261 * * [misc]simplify: iters left: 1 (49 enodes) 1537433155.278 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt k)) 1537433155.278 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ 1 (sqrt (* n (* 2 PI)))) (* (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt k))))) 1537433155.278 * * * * [misc]progress: [ 138 / 188 ] simplifiying candidate # 1537433155.278 * * * * [misc]progress: [ 139 / 188 ] simplifiying candidate # 1537433155.278 * * * * [misc]progress: [ 140 / 188 ] simplifiying candidate # 1537433155.278 * * * * [misc]progress: [ 141 / 188 ] simplifiying candidate # 1537433155.278 * [enter]simplify: Simplifying (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.279 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.284 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.287 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.291 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.295 * [exit]simplify: Simplified to (cbrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.295 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (cbrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.295 * * * * [misc]progress: [ 142 / 188 ] simplifiying candidate # 1537433155.295 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.296 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.298 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.301 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.305 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.309 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.309 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.309 * * * * [misc]progress: [ 143 / 188 ] simplifiying candidate # 1537433155.309 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.310 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.312 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.315 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.320 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.324 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537433155.324 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* n 2)) (cbrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537433155.324 * * * * [misc]progress: [ 144 / 188 ] simplifiying candidate # 1537433155.324 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (pow (* n 2) (/ k 2)))) 1537433155.325 * * [misc]simplify: iters left: 6 (10 enodes) 1537433155.326 * * [misc]simplify: iters left: 5 (12 enodes) 1537433155.328 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (pow (* n 2) (/ k 2)))) 1537433155.328 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (pow PI (/ k 2))))) (/ (sqrt (* n 2)) (sqrt (pow (* n 2) (/ k 2))))))) 1537433155.328 * * * * [misc]progress: [ 145 / 188 ] simplifiying candidate # 1537433155.329 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.329 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.332 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.335 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.339 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.343 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1537433155.343 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* n 2)) (sqrt (cbrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537433155.343 * * * * [misc]progress: [ 146 / 188 ] simplifiying candidate # 1537433155.343 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.345 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.348 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.354 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.362 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.370 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537433155.370 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537433155.370 * * * * [misc]progress: [ 147 / 188 ] simplifiying candidate # 1537433155.371 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.372 * * [misc]simplify: iters left: 6 (12 enodes) 1537433155.376 * * [misc]simplify: iters left: 5 (17 enodes) 1537433155.383 * * [misc]simplify: iters left: 4 (23 enodes) 1537433155.390 * * [misc]simplify: iters left: 3 (24 enodes) 1537433155.395 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433155.395 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt 1))) (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433155.395 * * * * [misc]progress: [ 148 / 188 ] simplifiying candidate # 1537433155.395 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.396 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.398 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.401 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.405 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.409 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2))))) 1537433155.409 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* n 2)) (sqrt (sqrt (pow (* (* n 2) PI) (/ k 2)))))))) 1537433155.409 * * * * [misc]progress: [ 149 / 188 ] simplifiying candidate # 1537433155.410 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.410 * * [misc]simplify: iters left: 6 (12 enodes) 1537433155.413 * * [misc]simplify: iters left: 5 (17 enodes) 1537433155.416 * * [misc]simplify: iters left: 4 (23 enodes) 1537433155.419 * * [misc]simplify: iters left: 3 (24 enodes) 1537433155.423 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2)))) 1537433155.423 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (pow PI 1/2) 1)) (/ (sqrt (* n 2)) (sqrt (pow (* n (* PI 2)) (/ k 2))))))) 1537433155.423 * * * * [misc]progress: [ 150 / 188 ] simplifiying candidate # 1537433155.423 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.424 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.427 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.433 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.443 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.447 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.447 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.448 * * * * [misc]progress: [ 151 / 188 ] simplifiying candidate # 1537433155.448 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))) 1537433155.449 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.451 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.454 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.458 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.462 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2)))) 1537433155.462 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow PI (/ k 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2))))))) 1537433155.462 * * * * [misc]progress: [ 152 / 188 ] simplifiying candidate # 1537433155.462 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.463 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.465 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.469 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.472 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.477 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.477 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.477 * * * * [misc]progress: [ 153 / 188 ] simplifiying candidate # 1537433155.477 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.478 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.480 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.484 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.487 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.492 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.492 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.492 * * * * [misc]progress: [ 154 / 188 ] simplifiying candidate # 1537433155.492 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.493 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.496 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.502 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.509 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.517 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433155.517 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt 1))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537433155.518 * * * * [misc]progress: [ 155 / 188 ] simplifiying candidate # 1537433155.518 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.519 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.526 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.533 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.541 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.547 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.547 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.547 * * * * [misc]progress: [ 156 / 188 ] simplifiying candidate # 1537433155.547 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.548 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.551 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.554 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.558 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.562 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433155.562 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537433155.562 * * * * [misc]progress: [ 157 / 188 ] simplifiying candidate # 1537433155.562 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.563 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.565 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.569 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.574 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.583 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.583 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.583 * * * * [misc]progress: [ 158 / 188 ] simplifiying candidate # 1537433155.583 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* n 2) (/ k 2)))) 1537433155.585 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.590 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.597 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.604 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.612 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2)))) 1537433155.612 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow PI (/ k 2))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* 2 n) (/ k 2))))))) 1537433155.612 * * * * [misc]progress: [ 159 / 188 ] simplifiying candidate # 1537433155.613 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.614 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.619 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.626 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.635 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.644 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.644 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.644 * * * * [misc]progress: [ 160 / 188 ] simplifiying candidate # 1537433155.644 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.646 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.651 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.654 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.658 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.662 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.662 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.662 * * * * [misc]progress: [ 161 / 188 ] simplifiying candidate # 1537433155.663 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.663 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.666 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.669 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.672 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.676 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433155.676 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt 1))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537433155.676 * * * * [misc]progress: [ 162 / 188 ] simplifiying candidate # 1537433155.677 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.677 * * [misc]simplify: iters left: 6 (14 enodes) 1537433155.680 * * [misc]simplify: iters left: 5 (19 enodes) 1537433155.684 * * [misc]simplify: iters left: 4 (25 enodes) 1537433155.691 * * [misc]simplify: iters left: 3 (26 enodes) 1537433155.700 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.700 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.700 * * * * [misc]progress: [ 163 / 188 ] simplifiying candidate # 1537433155.700 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.702 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.707 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.713 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.720 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.728 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433155.728 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537433155.728 * * * * [misc]progress: [ 164 / 188 ] simplifiying candidate # 1537433155.728 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.730 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.736 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.743 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.750 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.758 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.758 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (* (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.758 * * * * [misc]progress: [ 165 / 188 ] simplifiying candidate # 1537433155.759 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* n 2) (/ k 2)))) 1537433155.760 * * [misc]simplify: iters left: 6 (12 enodes) 1537433155.765 * * [misc]simplify: iters left: 5 (17 enodes) 1537433155.771 * * [misc]simplify: iters left: 4 (23 enodes) 1537433155.774 * * [misc]simplify: iters left: 3 (24 enodes) 1537433155.778 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* 2 n) (/ k 2)))) 1537433155.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (pow PI (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* 2 n) (/ k 2))))))) 1537433155.778 * * * * [misc]progress: [ 166 / 188 ] simplifiying candidate # 1537433155.778 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.779 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.781 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.785 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.788 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.792 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.792 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (cbrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.792 * * * * [misc]progress: [ 167 / 188 ] simplifiying candidate # 1537433155.792 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.793 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.795 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.799 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.802 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.810 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.810 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.810 * * * * [misc]progress: [ 168 / 188 ] simplifiying candidate # 1537433155.810 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.811 * * [misc]simplify: iters left: 6 (12 enodes) 1537433155.824 * * [misc]simplify: iters left: 5 (17 enodes) 1537433155.830 * * [misc]simplify: iters left: 4 (23 enodes) 1537433155.837 * * [misc]simplify: iters left: 3 (24 enodes) 1537433155.847 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433155.847 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt 1))) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537433155.847 * * * * [misc]progress: [ 169 / 188 ] simplifiying candidate # 1537433155.847 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2))))) 1537433155.848 * * [misc]simplify: iters left: 6 (13 enodes) 1537433155.854 * * [misc]simplify: iters left: 5 (18 enodes) 1537433155.860 * * [misc]simplify: iters left: 4 (24 enodes) 1537433155.867 * * [misc]simplify: iters left: 3 (25 enodes) 1537433155.876 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2))))) 1537433155.876 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 (sqrt (sqrt (pow (* PI (* n 2)) (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (pow (* (* 2 n) PI) (/ k 2)))))))) 1537433155.876 * * * * [misc]progress: [ 170 / 188 ] simplifiying candidate # 1537433155.876 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.877 * * [misc]simplify: iters left: 6 (12 enodes) 1537433155.881 * * [misc]simplify: iters left: 5 (17 enodes) 1537433155.887 * * [misc]simplify: iters left: 4 (23 enodes) 1537433155.895 * * [misc]simplify: iters left: 3 (24 enodes) 1537433155.903 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433155.903 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (/ 1 1)) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537433155.903 * * * * [misc]progress: [ 171 / 188 ] simplifiying candidate # 1537433155.903 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.904 * * [misc]simplify: iters left: 6 (12 enodes) 1537433155.909 * * [misc]simplify: iters left: 5 (17 enodes) 1537433155.915 * * [misc]simplify: iters left: 4 (23 enodes) 1537433155.922 * * [misc]simplify: iters left: 3 (24 enodes) 1537433155.930 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) 1537433155.930 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) 1) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))) 1537433155.930 * * * * [misc]progress: [ 172 / 188 ] simplifiying candidate # 1537433155.930 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1537433155.931 * * [misc]simplify: iters left: 6 (11 enodes) 1537433155.935 * * [misc]simplify: iters left: 5 (17 enodes) 1537433155.941 * * [misc]simplify: iters left: 4 (23 enodes) 1537433155.948 * * [misc]simplify: iters left: 3 (24 enodes) 1537433155.955 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2)))) 1537433155.956 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2))))))) 1537433155.956 * * * * [misc]progress: [ 173 / 188 ] simplifiying candidate # 1537433155.956 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537433155.956 * * [misc]simplify: iters left: 4 (4 enodes) 1537433155.957 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537433155.957 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))) 1537433155.957 * * * * [misc]progress: [ 174 / 188 ] simplifiying candidate # 1537433155.957 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537433155.957 * * [misc]simplify: iters left: 2 (3 enodes) 1537433155.958 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537433155.958 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt (sqrt k)) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))) 1537433155.958 * * * * [misc]progress: [ 175 / 188 ] simplifiying candidate # 1537433155.958 * * * * [misc]progress: [ 176 / 188 ] simplifiying candidate # 1537433155.958 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (/ k 2))) 1537433155.958 * * [misc]simplify: iters left: 6 (9 enodes) 1537433155.960 * * [misc]simplify: iters left: 5 (13 enodes) 1537433155.963 * * [misc]simplify: iters left: 4 (19 enodes) 1537433155.966 * * [misc]simplify: iters left: 3 (20 enodes) 1537433155.970 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (/ k 2))) 1537433155.970 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))) 1537433155.970 * * * * [misc]progress: [ 177 / 188 ] simplifiying candidate # 1537433155.971 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433155.971 * * [misc]simplify: iters left: 4 (5 enodes) 1537433155.973 * * [misc]simplify: iters left: 3 (9 enodes) 1537433155.975 * * [misc]simplify: iters left: 2 (15 enodes) 1537433155.977 * * [misc]simplify: iters left: 1 (17 enodes) 1537433155.980 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433155.980 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* (* PI n) 2) (/ k 2))))))) 1537433155.980 * * * * [misc]progress: [ 178 / 188 ] simplifiying candidate # 1537433155.980 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433155.980 * * [misc]simplify: iters left: 4 (5 enodes) 1537433155.981 * * [misc]simplify: iters left: 3 (9 enodes) 1537433155.983 * * [misc]simplify: iters left: 2 (15 enodes) 1537433155.988 * * [misc]simplify: iters left: 1 (17 enodes) 1537433155.993 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433155.993 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* (* PI n) 2) (/ k 2))))))) 1537433155.993 * * * * [misc]progress: [ 179 / 188 ] simplifiying candidate # 1537433155.993 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433155.994 * * [misc]simplify: iters left: 4 (5 enodes) 1537433155.996 * * [misc]simplify: iters left: 3 (9 enodes) 1537433156.000 * * [misc]simplify: iters left: 2 (15 enodes) 1537433156.005 * * [misc]simplify: iters left: 1 (17 enodes) 1537433156.010 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433156.010 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* (* PI n) 2) (/ k 2))))))) 1537433156.010 * * * * [misc]progress: [ 180 / 188 ] simplifiying candidate # 1537433156.011 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433156.011 * * [misc]simplify: iters left: 4 (5 enodes) 1537433156.013 * * [misc]simplify: iters left: 3 (9 enodes) 1537433156.016 * * [misc]simplify: iters left: 2 (15 enodes) 1537433156.019 * * [misc]simplify: iters left: 1 (17 enodes) 1537433156.021 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433156.021 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* PI n) 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433156.021 * * * * [misc]progress: [ 181 / 188 ] simplifiying candidate # 1537433156.021 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433156.022 * * [misc]simplify: iters left: 4 (5 enodes) 1537433156.023 * * [misc]simplify: iters left: 3 (9 enodes) 1537433156.025 * * [misc]simplify: iters left: 2 (15 enodes) 1537433156.027 * * [misc]simplify: iters left: 1 (17 enodes) 1537433156.029 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433156.029 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* PI n) 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433156.029 * * * * [misc]progress: [ 182 / 188 ] simplifiying candidate # 1537433156.030 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433156.030 * * [misc]simplify: iters left: 4 (5 enodes) 1537433156.031 * * [misc]simplify: iters left: 3 (9 enodes) 1537433156.033 * * [misc]simplify: iters left: 2 (15 enodes) 1537433156.035 * * [misc]simplify: iters left: 1 (17 enodes) 1537433156.038 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433156.038 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* PI n) 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433156.038 * * * * [misc]progress: [ 183 / 188 ] simplifiying candidate # 1537433156.038 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433156.038 * * [misc]simplify: iters left: 4 (5 enodes) 1537433156.040 * * [misc]simplify: iters left: 3 (9 enodes) 1537433156.042 * * [misc]simplify: iters left: 2 (15 enodes) 1537433156.044 * * [misc]simplify: iters left: 1 (17 enodes) 1537433156.046 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433156.047 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433156.047 * * * * [misc]progress: [ 184 / 188 ] simplifiying candidate # 1537433156.047 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433156.047 * * [misc]simplify: iters left: 4 (5 enodes) 1537433156.049 * * [misc]simplify: iters left: 3 (9 enodes) 1537433156.053 * * [misc]simplify: iters left: 2 (15 enodes) 1537433156.058 * * [misc]simplify: iters left: 1 (17 enodes) 1537433156.065 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433156.065 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433156.065 * * * * [misc]progress: [ 185 / 188 ] simplifiying candidate # 1537433156.066 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537433156.066 * * [misc]simplify: iters left: 4 (5 enodes) 1537433156.069 * * [misc]simplify: iters left: 3 (9 enodes) 1537433156.073 * * [misc]simplify: iters left: 2 (15 enodes) 1537433156.078 * * [misc]simplify: iters left: 1 (17 enodes) 1537433156.083 * [exit]simplify: Simplified to (* (* PI n) 2) 1537433156.083 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))))) 1537433156.083 * * * * [misc]progress: [ 186 / 188 ] simplifiying candidate # 1537433156.083 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1537433156.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) +nan.0)) 1537433156.084 * * * * [misc]progress: [ 187 / 188 ] simplifiying candidate # 1537433156.084 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 3) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2)))))) (- (* +nan.0 (/ (pow (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) 2) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k)))))))))) 1537433156.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) +nan.0)) 1537433156.084 * * * * [misc]progress: [ 188 / 188 ] simplifiying candidate # 1537433156.084 * [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 (/ 1 n))))))) 1537433156.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) +nan.0)) 1537433156.084 * * * [misc]progress: adding candidates to table 1537433162.757 * [misc]progress: [Phase 3 of 3] Extracting. 1537433162.757 * * [misc]regime: Finding splitpoints for: (# # # # # # # # # #) 1537433162.762 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1537433162.762 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # #) 1537433162.936 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # # #) 1537433163.058 * * * [misc]regime: Found split indices: #